Are there any instruments that don't produce overtones?How do harmonics work?Why are there transposing instruments that transpose by octave?What's the difference between overtones and harmonics?How can you distinguish instruments by their timbre characteristics?Name for instruments that can only play one octave, vs one that can play many octaves?Instruments that don't require hand strengthWhy don't we use the early overtones in order from a Harmonic series to create chords/scales?Are musical floppy drives tone wheel instruments?Why don't tuning forks produce overtones?

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Are there any instruments that don't produce overtones?


How do harmonics work?Why are there transposing instruments that transpose by octave?What's the difference between overtones and harmonics?How can you distinguish instruments by their timbre characteristics?Name for instruments that can only play one octave, vs one that can play many octaves?Instruments that don't require hand strengthWhy don't we use the early overtones in order from a Harmonic series to create chords/scales?Are musical floppy drives tone wheel instruments?Why don't tuning forks produce overtones?






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty
margin-bottom:0;









23


















Essentially all instruments produce overtones, which are frequencies
other than the dominant frequency of the note.




-- How do harmonics work?



The use of "essentially" there got me thinking. Are there any instruments which do not produce overtones?










share|improve this question























  • 21





    No overtones == exact sinewave. A synthesizer producing a sine wave (as some do) will thus fit the bill. (also silence has no overtones, so technically a completely broken and thus silent instrument will also fit the bill!)

    – abligh
    Jun 2 at 12:12







  • 5





    Are you allowing electronic instruments? A theremin produces a sine wave I believe.

    – marcellothearcane
    Jun 2 at 19:50






  • 2





    @marcellothearcane I think digital theremins are often sampled, and analogue ones use some circuits to get a more interesting waveform. I'm not a hundred percent sure though.

    – Nobody
    Jun 2 at 20:39






  • 1





    I have heard that in theory, a perfectly hemispherical bell (possibly made from an ideal, vanishingly thin material) will vibrate with a perfect sine wave. I haven't checked the calculations on this myself, though.

    – Arthur
    Jun 3 at 8:00







  • 3





    There is another way to make an instrument appear to have no overtones, and that is to only play notes in the top octave of your hearing. Since the first harmonic is one octave above the fundamental, it will then be out of your hearing. This is why many instruments with big ranges sound rather plain at the top - they simply aren't producing harmonics you can hear. This is why it can be quite difficult to tell the difference between one instrument and another in the your top octave. So if its bottom note was in your top octave, it would appear to have no harmonics at all.

    – David Robinson
    Jun 3 at 14:28

















23


















Essentially all instruments produce overtones, which are frequencies
other than the dominant frequency of the note.




-- How do harmonics work?



The use of "essentially" there got me thinking. Are there any instruments which do not produce overtones?










share|improve this question























  • 21





    No overtones == exact sinewave. A synthesizer producing a sine wave (as some do) will thus fit the bill. (also silence has no overtones, so technically a completely broken and thus silent instrument will also fit the bill!)

    – abligh
    Jun 2 at 12:12







  • 5





    Are you allowing electronic instruments? A theremin produces a sine wave I believe.

    – marcellothearcane
    Jun 2 at 19:50






  • 2





    @marcellothearcane I think digital theremins are often sampled, and analogue ones use some circuits to get a more interesting waveform. I'm not a hundred percent sure though.

    – Nobody
    Jun 2 at 20:39






  • 1





    I have heard that in theory, a perfectly hemispherical bell (possibly made from an ideal, vanishingly thin material) will vibrate with a perfect sine wave. I haven't checked the calculations on this myself, though.

    – Arthur
    Jun 3 at 8:00







  • 3





    There is another way to make an instrument appear to have no overtones, and that is to only play notes in the top octave of your hearing. Since the first harmonic is one octave above the fundamental, it will then be out of your hearing. This is why many instruments with big ranges sound rather plain at the top - they simply aren't producing harmonics you can hear. This is why it can be quite difficult to tell the difference between one instrument and another in the your top octave. So if its bottom note was in your top octave, it would appear to have no harmonics at all.

    – David Robinson
    Jun 3 at 14:28













23












23








23


2







Essentially all instruments produce overtones, which are frequencies
other than the dominant frequency of the note.




-- How do harmonics work?



The use of "essentially" there got me thinking. Are there any instruments which do not produce overtones?










share|improve this question


















Essentially all instruments produce overtones, which are frequencies
other than the dominant frequency of the note.




-- How do harmonics work?



The use of "essentially" there got me thinking. Are there any instruments which do not produce overtones?







instruments overtones






share|improve this question
















share|improve this question













share|improve this question




share|improve this question








edited Jun 4 at 21:53









Wyrmwood

1694 bronze badges




1694 bronze badges










asked Jun 1 at 17:38









Joseph LennoxJoseph Lennox

2211 silver badge5 bronze badges




2211 silver badge5 bronze badges










  • 21





    No overtones == exact sinewave. A synthesizer producing a sine wave (as some do) will thus fit the bill. (also silence has no overtones, so technically a completely broken and thus silent instrument will also fit the bill!)

    – abligh
    Jun 2 at 12:12







  • 5





    Are you allowing electronic instruments? A theremin produces a sine wave I believe.

    – marcellothearcane
    Jun 2 at 19:50






  • 2





    @marcellothearcane I think digital theremins are often sampled, and analogue ones use some circuits to get a more interesting waveform. I'm not a hundred percent sure though.

    – Nobody
    Jun 2 at 20:39






  • 1





    I have heard that in theory, a perfectly hemispherical bell (possibly made from an ideal, vanishingly thin material) will vibrate with a perfect sine wave. I haven't checked the calculations on this myself, though.

    – Arthur
    Jun 3 at 8:00







  • 3





    There is another way to make an instrument appear to have no overtones, and that is to only play notes in the top octave of your hearing. Since the first harmonic is one octave above the fundamental, it will then be out of your hearing. This is why many instruments with big ranges sound rather plain at the top - they simply aren't producing harmonics you can hear. This is why it can be quite difficult to tell the difference between one instrument and another in the your top octave. So if its bottom note was in your top octave, it would appear to have no harmonics at all.

    – David Robinson
    Jun 3 at 14:28












  • 21





    No overtones == exact sinewave. A synthesizer producing a sine wave (as some do) will thus fit the bill. (also silence has no overtones, so technically a completely broken and thus silent instrument will also fit the bill!)

    – abligh
    Jun 2 at 12:12







  • 5





    Are you allowing electronic instruments? A theremin produces a sine wave I believe.

    – marcellothearcane
    Jun 2 at 19:50






  • 2





    @marcellothearcane I think digital theremins are often sampled, and analogue ones use some circuits to get a more interesting waveform. I'm not a hundred percent sure though.

    – Nobody
    Jun 2 at 20:39






  • 1





    I have heard that in theory, a perfectly hemispherical bell (possibly made from an ideal, vanishingly thin material) will vibrate with a perfect sine wave. I haven't checked the calculations on this myself, though.

    – Arthur
    Jun 3 at 8:00







  • 3





    There is another way to make an instrument appear to have no overtones, and that is to only play notes in the top octave of your hearing. Since the first harmonic is one octave above the fundamental, it will then be out of your hearing. This is why many instruments with big ranges sound rather plain at the top - they simply aren't producing harmonics you can hear. This is why it can be quite difficult to tell the difference between one instrument and another in the your top octave. So if its bottom note was in your top octave, it would appear to have no harmonics at all.

    – David Robinson
    Jun 3 at 14:28







21




21





No overtones == exact sinewave. A synthesizer producing a sine wave (as some do) will thus fit the bill. (also silence has no overtones, so technically a completely broken and thus silent instrument will also fit the bill!)

– abligh
Jun 2 at 12:12






No overtones == exact sinewave. A synthesizer producing a sine wave (as some do) will thus fit the bill. (also silence has no overtones, so technically a completely broken and thus silent instrument will also fit the bill!)

– abligh
Jun 2 at 12:12





5




5





Are you allowing electronic instruments? A theremin produces a sine wave I believe.

– marcellothearcane
Jun 2 at 19:50





Are you allowing electronic instruments? A theremin produces a sine wave I believe.

– marcellothearcane
Jun 2 at 19:50




2




2





@marcellothearcane I think digital theremins are often sampled, and analogue ones use some circuits to get a more interesting waveform. I'm not a hundred percent sure though.

– Nobody
Jun 2 at 20:39





@marcellothearcane I think digital theremins are often sampled, and analogue ones use some circuits to get a more interesting waveform. I'm not a hundred percent sure though.

– Nobody
Jun 2 at 20:39




1




1





I have heard that in theory, a perfectly hemispherical bell (possibly made from an ideal, vanishingly thin material) will vibrate with a perfect sine wave. I haven't checked the calculations on this myself, though.

– Arthur
Jun 3 at 8:00






I have heard that in theory, a perfectly hemispherical bell (possibly made from an ideal, vanishingly thin material) will vibrate with a perfect sine wave. I haven't checked the calculations on this myself, though.

– Arthur
Jun 3 at 8:00





3




3





There is another way to make an instrument appear to have no overtones, and that is to only play notes in the top octave of your hearing. Since the first harmonic is one octave above the fundamental, it will then be out of your hearing. This is why many instruments with big ranges sound rather plain at the top - they simply aren't producing harmonics you can hear. This is why it can be quite difficult to tell the difference between one instrument and another in the your top octave. So if its bottom note was in your top octave, it would appear to have no harmonics at all.

– David Robinson
Jun 3 at 14:28





There is another way to make an instrument appear to have no overtones, and that is to only play notes in the top octave of your hearing. Since the first harmonic is one octave above the fundamental, it will then be out of your hearing. This is why many instruments with big ranges sound rather plain at the top - they simply aren't producing harmonics you can hear. This is why it can be quite difficult to tell the difference between one instrument and another in the your top octave. So if its bottom note was in your top octave, it would appear to have no harmonics at all.

– David Robinson
Jun 3 at 14:28










10 Answers
10






active

oldest

votes


















31


















A tuning fork comes close, though amplifying it by placing it on some resonating object - a wooden table, piano case, or try your head :-) - will add some harmonics.



The sound-producing element of a Fender Rhodes electric piano is essentially a tuning fork, though other parts of the instrument are designed to 'dirty up' the pure tone.



The tone of a flute, especially in the higher register, is close to a sine wave.



Note that we're talking about the sustain portion of a note. Both tuning fork and flute produce much more complex sounds as a note is attacked. You could mistake a tuning fork for a flute if the attack portion of a note was chopped off. I don't think you'd confuse the two if the attack was also heard though!



This principle was put to good use in 'Hybrid Synthesisers' like the Roland D50 or Yamaha SY range. A short sampled attack was followed by a synthesised sustain and release. It combined a remarkable degree of realism and controllability with economical use of sample memory.



So your answer is: although some instruments have a sustain close to a sine wave, I can't think of one outside the test bench that lacks a more complex attack.






share|improve this answer




























  • Hope you don't mind me dropping a link there. I searched around to verify that tuning forks do indeed produce a sine-wave, and found this.

    – user45266
    Jun 3 at 0:56






  • 2





    "The tone of a flute, especially in the higher register, is close to a sine wave." Is that really true, or is it just because our ear fails to pick up many of the harmonics?

    – Arthur
    Jun 3 at 8:01











  • @Arthur I wouldn't be surprised if spectral analysis of flute tone showed a decrease in higher harmonics regardless of the human hearing range, but I bet that does contribute to the perceived effect... <img src="ux1.eiu.edu/~cfadd/3050/Adventures/chapter_12/x_12.10.jpg" alt="Image result for flute timbre"/>

    – user45266
    Jun 3 at 17:13



















22


















I've heard it claimed that human whistling comes very close to being a perfect sine wave:



Spectrograph



The video here seems to show only one peak on the spectrograph, supporting a nearly perfectly sinusoidal waveform.






share|improve this answer





















  • 2





    For an instrument, flute and piccolo are very close to whistling and to fairly pure sign waves with breath noise on top.

    – Todd Wilcox
    Jun 2 at 3:43







  • 2





    @ToddWilcox flutes, at least in low register, produce something closer to triangle than sine spectrum-wise. The linear (cylindrical or conical) pipes support overtones quite well, they just aren't excited as strongly as in reed woodwinds. Whistling (and, I'd suspect, ocarina) is different, because the resonance chamber isn't tube-shaped at all.

    – leftaroundabout
    Jun 2 at 10:57



















12


















As far as I know every instrument produces overtones. Some might think that unpitched percussion don't have overtone, but they produce them as well.



However, there are some electronic instruments, such as synthesizers (sine waves) which can be played without producing any overtones, but every acoustic instrument does.



If I'm correct the ocarina might be the instrument which come as close as possible to creating 'no overtones'. In fact, they do create overtones as well, but because of their shape, the overtones are actually many octaves above the keynote scale.






share|improve this answer





















  • 12





    The whole reason we call those instruments "unpitched" is because of their numerous inharmonic overtones. +1

    – user45266
    Jun 1 at 20:25











  • Sine waves from synths and unpitched percussion would have been my guess as well. Nice answer

    – Shevliaskovic
    Jun 2 at 8:05






  • 3





    @Shevliaskovic Synths yes (or at least maybe) - unpitched no. As user45266 says: unpitched instruments have many overtones but they are not integer multiples of the fundamental as usual. It is these non-integer harmonics that make it "untuned". The ear cannot make sense of these harmonics.

    – badjohn
    Jun 3 at 15:35


















7


















It is worth looking at the reason WHY there are so few instruments that produce sine waves. It is clearly fairly difficult, from the point of view of physics, to make a sine wave without electronics, but people could have tried to get close if they wanted to.



The psycho-acoustic answer is that few attempted this because it does not sound interesting. It is notable that, of the examples suggested, most are:




Not designed for human entertainment (e.g. tuning fork)

Designed as part of something (e.g. one stop on a synthesizer, to be played with others)

Designed with other features to make the sound more interesting (e.g. theramin)




One instrument that gets fairly close is the Stylophone. This produces a sine wave - in theory - simply because this was the cheapest sound to aim for in an electronic instrument. Any deviation from the sine wave is not caused by aesthetic considerations, but by an over-riding desire for cheapness in the design brief. That is to say, the overtones are caused entirely by the cheap amplifier, cheap speaker and cheap plastic case.






share|improve this answer





















  • 1





    Circuits to produce clean sine waves whose amplitude is consistent over a range of frequencies are nowhere near as cheap as circuits to produce pulses at an adjustable rate. Pulse waves and square waves are much cheaper and easier to produce, and are what I'd expect from a simple stylophone circuit.

    – supercat
    Jun 3 at 19:39











  • @supercat But the problem with pulses is that you would get a huge amount of higher harmonics and you would need to attenuate these. Doing this in a way that produced a similar tone at different frequencies would have been very difficult. In my experience a harmonic oscillator was the standard frequency generator before ICs and I am reasonably certain this is what the link means by a voltage control oscillator, even though I cannot find this stated specifically.

    – David Robinson
    Jun 3 at 21:25






  • 2





    An LC harmonic oscillator using a tuned coil can be a very stable way of generating a continuous reasonably-clean sine wave at one particular amplitude and frequency, but there are trade-offs between speed of start-up, ability to adjust the output frequency, and purity of the output waveform. Toys like otamatones use relaxation oscillators (such oscillators have a distinctive, decidedly non-sinusoidal sound), and I would expect that stylophones would too.

    – supercat
    Jun 3 at 22:25






  • 2





    You win. @supercat. I have managed to find a website where it has been reverse engineered and it was a relaxation circuit powered by a Programmable Uni-junction Transistor. Not surprisingly, it was replaced with a 555 at some stage after the invention of the most successful chip ever.

    – David Robinson
    Jun 4 at 0:05











  • I'd not seen the actual schematic for the original Stylophone, but it's interesting to note that the output of the vibrato circuit is much closer to sinusoidal than the audio output of the Stylophone (possible because it only has to operate at one rate). To help it start quickly, though, the loop gain is set high enough to cause distortion which is visible on the scope trace.

    – supercat
    Jun 4 at 15:39


















6


















You can create pure a sine wave with some electronic generators. Another way is to use software. I created a series of pure sine waves in wav files at various frequencies for a hearing test. They don't sound like any real instrument that I have ever heard. So, that says that no instrument that I have heard produces a pure sine wave. Of course, I have not heard all instruments but I have heard many. The closest might be a flute but it still was recognisably different. I do not find a pure sine wave appealing.



Note that there is more to the difference between the sounds of various instruments than the harmonics: e.g. attack, decay, stability of pitch, etc. Back in the days of cassette tapes I had a tape of piano music stretch badly. It no longer sounded at all like a piano, it sounded like a musical saw. The harmonics would not have been changed (much) by the stretching. It indicated that an essential part of the piano sound is the stability of the pitch. For that reason, since then, I always used solo piano music to assess turntables. It is a long time since I did that though as I was an immediate convert to CDs. Partly due to this experience.






share|improve this answer























  • 1





    I can confirm your observations about piano: it's an instrument that always makes it obvious when a turntable isn't spinning at a perfectly steady rate.

    – jberryman
    Jun 2 at 20:10











  • One reason your sine waves may not sound like any real instruments is because musical instruments can be distinguished by any other factors. (Check this out: youtu.be/thD6TNUoyIk)

    – user45266
    Jun 3 at 1:05












  • @user45266 Did you read my second paragraph?

    – badjohn
    Jun 3 at 6:41











  • @badjohn Yes. Just wanted an excuse to drop that link there :)

    – user45266
    Jun 3 at 14:56


















6



















frequencies other than the dominant frequency of the note




Any finite wave has frequencies other than the dominant frequency. Single frequency is only possible for a sinusoid that has lasted since forever with constant amplitude and will continue to do so.



For any finite wave you will be able to perceive (with your ear or any physical measuring device) a bundle of neighbouring frequencies like seen in the image included in another answer. The width of the bundle is limited by duration of the signal.



NOTE:
This answer does not discuss overtones in the common meaning of the term (multiples of fundamental frequency) but the definition from the question (quoted above).






share|improve this answer























  • 3





    Yeah, though this is a bit pedantic. By making the tone last long you can easily push all the “side channel” content below the audibility threshold.

    – leftaroundabout
    Jun 2 at 11:05











  • @leftaroundabout That's why I added "much" in my answer.

    – badjohn
    Jun 2 at 12:40






  • 1





    Is this really true from the point of view of a listener? I'd find a little more explanation useful here.

    – topo morto
    Jun 2 at 20:27











  • @topomorto It is true from a mathematical point of view, not from a listener's point of view. It's trivial to develop sounds whose harmonics due to this effect are so far outside the human hearing range that we can effectively ignore them. But when doing other things (such as working with pulsed lasers), these extra harmonics are an incredibly important nuance.

    – Cort Ammon
    Jun 3 at 4:35











  • @CortAmmon what I'm wondering is whether it really is philosophically true from a mathematical point of view, or if it's only true from the point of view of a certain analysis technique. It's possible to generate a finite number of cycles of a sine wave of any frequency; that will be heard as a sine wave persisting for a certain duration. If there's any energy at a different frequency, where has it come from?

    – topo morto
    Jun 3 at 5:45


















3


















There are already quite a number of "instruments" listed in other answers but I think a subset of organs may reproduce an sinusoid approximate.



On the electrical side of things the Hammond organ used a spinning tonewheel and electrical pickup to generate near sines. Each key had several wheels spinning at multiples of the fundamental frequency. You could adjust valves controlling the strength (amplitude) of each harmonics -- an early prototype of additive synthesizers. Hence I will argue that the Hammond organ, unlike other instruments, was designed with sinusoidal production in mind. You could also argue that the Hammond was simply an attempt to replicate the fuller feel of true pipe organ.1 A live demonstration of can be found on youtube (with accompanying spectrogram).



There's also the original Telharmonium, a gargantuan factory-sized machine that produced near sines in a similar way.



On the Aerophone side of the things, there are certain pipes which are highly sinusoidal including the Tibia pipes of which you can hear a bit in the first 30 seconds of this video.



1You could also argue that the Hammond was simply an attempt to replicate the fuller feel of true pipe organ.






share|improve this answer

































    2


















    See also the lasso d'amore at which reference is stated "the timbre of the notes [...] are 'almost all fundamental,' according to Fourier analysis (similar to sine waves)." It is possible to play the instrument at a speed so near the transition from one resonance to another that two simultaneous pitches are produced. (This tends to be possible at higher speeds, at which it is difficult to prevent having different speeds in different arcs of the arm movement producing different tones from each arc.)






    share|improve this answer


























    • Ouch! Almost as horrifying as those vuvuzelas :-)

      – Carl Witthoft
      Jun 3 at 13:40


















    0


















    A pure sine wave is the only instrument that plays a tone without any overtones. This isn't a strange coincidence. An instrument's timbre is the consequence of its unique overtones - which ones it has, which ones are loudest, whether some overtones are slightly flat or sharp, and how the overtones mutate over time. Since there's only one timbre profile that can come from having no overtones, it shouldn't come as a surprise that there's only one sound that fits the bill. And when you strip all overtones from a sound wave, a sine wave is exactly what you get.






    share|improve this answer

































      -2


















      By far, I'm no expert in this, but here's my best shot.



      Timbre is the result of a specific series of overtones sounding off louder than others. We are looking for a timbre that only has the fundamental sounding off and nothing sounding above it. I suppose anything that could produce a single sine wave would be your answer. Perhaps an organ with only one tone sounding?






      share|improve this answer























      • 2





        No, because even a single organ pipe (a giant whistle) will generate some overtones.

        – Carl Witthoft
        Jun 3 at 13:39











      • As @CarlWitthoft noted, organ pipes generate overtones, too. In fact, the organ stops (registers) are distinguished by their overtones. See pykett.org.uk/tonal-structure-of-organ-strings.htm#ToneQuality for a few examples.

        – Melebius
        Jun 4 at 12:34












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      10 Answers
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      A tuning fork comes close, though amplifying it by placing it on some resonating object - a wooden table, piano case, or try your head :-) - will add some harmonics.



      The sound-producing element of a Fender Rhodes electric piano is essentially a tuning fork, though other parts of the instrument are designed to 'dirty up' the pure tone.



      The tone of a flute, especially in the higher register, is close to a sine wave.



      Note that we're talking about the sustain portion of a note. Both tuning fork and flute produce much more complex sounds as a note is attacked. You could mistake a tuning fork for a flute if the attack portion of a note was chopped off. I don't think you'd confuse the two if the attack was also heard though!



      This principle was put to good use in 'Hybrid Synthesisers' like the Roland D50 or Yamaha SY range. A short sampled attack was followed by a synthesised sustain and release. It combined a remarkable degree of realism and controllability with economical use of sample memory.



      So your answer is: although some instruments have a sustain close to a sine wave, I can't think of one outside the test bench that lacks a more complex attack.






      share|improve this answer




























      • Hope you don't mind me dropping a link there. I searched around to verify that tuning forks do indeed produce a sine-wave, and found this.

        – user45266
        Jun 3 at 0:56






      • 2





        "The tone of a flute, especially in the higher register, is close to a sine wave." Is that really true, or is it just because our ear fails to pick up many of the harmonics?

        – Arthur
        Jun 3 at 8:01











      • @Arthur I wouldn't be surprised if spectral analysis of flute tone showed a decrease in higher harmonics regardless of the human hearing range, but I bet that does contribute to the perceived effect... <img src="ux1.eiu.edu/~cfadd/3050/Adventures/chapter_12/x_12.10.jpg" alt="Image result for flute timbre"/>

        – user45266
        Jun 3 at 17:13
















      31


















      A tuning fork comes close, though amplifying it by placing it on some resonating object - a wooden table, piano case, or try your head :-) - will add some harmonics.



      The sound-producing element of a Fender Rhodes electric piano is essentially a tuning fork, though other parts of the instrument are designed to 'dirty up' the pure tone.



      The tone of a flute, especially in the higher register, is close to a sine wave.



      Note that we're talking about the sustain portion of a note. Both tuning fork and flute produce much more complex sounds as a note is attacked. You could mistake a tuning fork for a flute if the attack portion of a note was chopped off. I don't think you'd confuse the two if the attack was also heard though!



      This principle was put to good use in 'Hybrid Synthesisers' like the Roland D50 or Yamaha SY range. A short sampled attack was followed by a synthesised sustain and release. It combined a remarkable degree of realism and controllability with economical use of sample memory.



      So your answer is: although some instruments have a sustain close to a sine wave, I can't think of one outside the test bench that lacks a more complex attack.






      share|improve this answer




























      • Hope you don't mind me dropping a link there. I searched around to verify that tuning forks do indeed produce a sine-wave, and found this.

        – user45266
        Jun 3 at 0:56






      • 2





        "The tone of a flute, especially in the higher register, is close to a sine wave." Is that really true, or is it just because our ear fails to pick up many of the harmonics?

        – Arthur
        Jun 3 at 8:01











      • @Arthur I wouldn't be surprised if spectral analysis of flute tone showed a decrease in higher harmonics regardless of the human hearing range, but I bet that does contribute to the perceived effect... <img src="ux1.eiu.edu/~cfadd/3050/Adventures/chapter_12/x_12.10.jpg" alt="Image result for flute timbre"/>

        – user45266
        Jun 3 at 17:13














      31














      31










      31









      A tuning fork comes close, though amplifying it by placing it on some resonating object - a wooden table, piano case, or try your head :-) - will add some harmonics.



      The sound-producing element of a Fender Rhodes electric piano is essentially a tuning fork, though other parts of the instrument are designed to 'dirty up' the pure tone.



      The tone of a flute, especially in the higher register, is close to a sine wave.



      Note that we're talking about the sustain portion of a note. Both tuning fork and flute produce much more complex sounds as a note is attacked. You could mistake a tuning fork for a flute if the attack portion of a note was chopped off. I don't think you'd confuse the two if the attack was also heard though!



      This principle was put to good use in 'Hybrid Synthesisers' like the Roland D50 or Yamaha SY range. A short sampled attack was followed by a synthesised sustain and release. It combined a remarkable degree of realism and controllability with economical use of sample memory.



      So your answer is: although some instruments have a sustain close to a sine wave, I can't think of one outside the test bench that lacks a more complex attack.






      share|improve this answer
















      A tuning fork comes close, though amplifying it by placing it on some resonating object - a wooden table, piano case, or try your head :-) - will add some harmonics.



      The sound-producing element of a Fender Rhodes electric piano is essentially a tuning fork, though other parts of the instrument are designed to 'dirty up' the pure tone.



      The tone of a flute, especially in the higher register, is close to a sine wave.



      Note that we're talking about the sustain portion of a note. Both tuning fork and flute produce much more complex sounds as a note is attacked. You could mistake a tuning fork for a flute if the attack portion of a note was chopped off. I don't think you'd confuse the two if the attack was also heard though!



      This principle was put to good use in 'Hybrid Synthesisers' like the Roland D50 or Yamaha SY range. A short sampled attack was followed by a synthesised sustain and release. It combined a remarkable degree of realism and controllability with economical use of sample memory.



      So your answer is: although some instruments have a sustain close to a sine wave, I can't think of one outside the test bench that lacks a more complex attack.







      share|improve this answer















      share|improve this answer




      share|improve this answer








      edited Aug 22 at 11:56









      Stormblessed

      2461 silver badge10 bronze badges




      2461 silver badge10 bronze badges










      answered Jun 1 at 18:51









      Laurence PayneLaurence Payne

      45.5k1 gold badge27 silver badges91 bronze badges




      45.5k1 gold badge27 silver badges91 bronze badges















      • Hope you don't mind me dropping a link there. I searched around to verify that tuning forks do indeed produce a sine-wave, and found this.

        – user45266
        Jun 3 at 0:56






      • 2





        "The tone of a flute, especially in the higher register, is close to a sine wave." Is that really true, or is it just because our ear fails to pick up many of the harmonics?

        – Arthur
        Jun 3 at 8:01











      • @Arthur I wouldn't be surprised if spectral analysis of flute tone showed a decrease in higher harmonics regardless of the human hearing range, but I bet that does contribute to the perceived effect... <img src="ux1.eiu.edu/~cfadd/3050/Adventures/chapter_12/x_12.10.jpg" alt="Image result for flute timbre"/>

        – user45266
        Jun 3 at 17:13


















      • Hope you don't mind me dropping a link there. I searched around to verify that tuning forks do indeed produce a sine-wave, and found this.

        – user45266
        Jun 3 at 0:56






      • 2





        "The tone of a flute, especially in the higher register, is close to a sine wave." Is that really true, or is it just because our ear fails to pick up many of the harmonics?

        – Arthur
        Jun 3 at 8:01











      • @Arthur I wouldn't be surprised if spectral analysis of flute tone showed a decrease in higher harmonics regardless of the human hearing range, but I bet that does contribute to the perceived effect... <img src="ux1.eiu.edu/~cfadd/3050/Adventures/chapter_12/x_12.10.jpg" alt="Image result for flute timbre"/>

        – user45266
        Jun 3 at 17:13

















      Hope you don't mind me dropping a link there. I searched around to verify that tuning forks do indeed produce a sine-wave, and found this.

      – user45266
      Jun 3 at 0:56





      Hope you don't mind me dropping a link there. I searched around to verify that tuning forks do indeed produce a sine-wave, and found this.

      – user45266
      Jun 3 at 0:56




      2




      2





      "The tone of a flute, especially in the higher register, is close to a sine wave." Is that really true, or is it just because our ear fails to pick up many of the harmonics?

      – Arthur
      Jun 3 at 8:01





      "The tone of a flute, especially in the higher register, is close to a sine wave." Is that really true, or is it just because our ear fails to pick up many of the harmonics?

      – Arthur
      Jun 3 at 8:01













      @Arthur I wouldn't be surprised if spectral analysis of flute tone showed a decrease in higher harmonics regardless of the human hearing range, but I bet that does contribute to the perceived effect... <img src="ux1.eiu.edu/~cfadd/3050/Adventures/chapter_12/x_12.10.jpg" alt="Image result for flute timbre"/>

      – user45266
      Jun 3 at 17:13






      @Arthur I wouldn't be surprised if spectral analysis of flute tone showed a decrease in higher harmonics regardless of the human hearing range, but I bet that does contribute to the perceived effect... <img src="ux1.eiu.edu/~cfadd/3050/Adventures/chapter_12/x_12.10.jpg" alt="Image result for flute timbre"/>

      – user45266
      Jun 3 at 17:13














      22


















      I've heard it claimed that human whistling comes very close to being a perfect sine wave:



      Spectrograph



      The video here seems to show only one peak on the spectrograph, supporting a nearly perfectly sinusoidal waveform.






      share|improve this answer





















      • 2





        For an instrument, flute and piccolo are very close to whistling and to fairly pure sign waves with breath noise on top.

        – Todd Wilcox
        Jun 2 at 3:43







      • 2





        @ToddWilcox flutes, at least in low register, produce something closer to triangle than sine spectrum-wise. The linear (cylindrical or conical) pipes support overtones quite well, they just aren't excited as strongly as in reed woodwinds. Whistling (and, I'd suspect, ocarina) is different, because the resonance chamber isn't tube-shaped at all.

        – leftaroundabout
        Jun 2 at 10:57
















      22


















      I've heard it claimed that human whistling comes very close to being a perfect sine wave:



      Spectrograph



      The video here seems to show only one peak on the spectrograph, supporting a nearly perfectly sinusoidal waveform.






      share|improve this answer





















      • 2





        For an instrument, flute and piccolo are very close to whistling and to fairly pure sign waves with breath noise on top.

        – Todd Wilcox
        Jun 2 at 3:43







      • 2





        @ToddWilcox flutes, at least in low register, produce something closer to triangle than sine spectrum-wise. The linear (cylindrical or conical) pipes support overtones quite well, they just aren't excited as strongly as in reed woodwinds. Whistling (and, I'd suspect, ocarina) is different, because the resonance chamber isn't tube-shaped at all.

        – leftaroundabout
        Jun 2 at 10:57














      22














      22










      22









      I've heard it claimed that human whistling comes very close to being a perfect sine wave:



      Spectrograph



      The video here seems to show only one peak on the spectrograph, supporting a nearly perfectly sinusoidal waveform.






      share|improve this answer














      I've heard it claimed that human whistling comes very close to being a perfect sine wave:



      Spectrograph



      The video here seems to show only one peak on the spectrograph, supporting a nearly perfectly sinusoidal waveform.







      share|improve this answer













      share|improve this answer




      share|improve this answer










      answered Jun 1 at 20:24









      user45266user45266

      6,8521 gold badge11 silver badges49 bronze badges




      6,8521 gold badge11 silver badges49 bronze badges










      • 2





        For an instrument, flute and piccolo are very close to whistling and to fairly pure sign waves with breath noise on top.

        – Todd Wilcox
        Jun 2 at 3:43







      • 2





        @ToddWilcox flutes, at least in low register, produce something closer to triangle than sine spectrum-wise. The linear (cylindrical or conical) pipes support overtones quite well, they just aren't excited as strongly as in reed woodwinds. Whistling (and, I'd suspect, ocarina) is different, because the resonance chamber isn't tube-shaped at all.

        – leftaroundabout
        Jun 2 at 10:57













      • 2





        For an instrument, flute and piccolo are very close to whistling and to fairly pure sign waves with breath noise on top.

        – Todd Wilcox
        Jun 2 at 3:43







      • 2





        @ToddWilcox flutes, at least in low register, produce something closer to triangle than sine spectrum-wise. The linear (cylindrical or conical) pipes support overtones quite well, they just aren't excited as strongly as in reed woodwinds. Whistling (and, I'd suspect, ocarina) is different, because the resonance chamber isn't tube-shaped at all.

        – leftaroundabout
        Jun 2 at 10:57








      2




      2





      For an instrument, flute and piccolo are very close to whistling and to fairly pure sign waves with breath noise on top.

      – Todd Wilcox
      Jun 2 at 3:43






      For an instrument, flute and piccolo are very close to whistling and to fairly pure sign waves with breath noise on top.

      – Todd Wilcox
      Jun 2 at 3:43





      2




      2





      @ToddWilcox flutes, at least in low register, produce something closer to triangle than sine spectrum-wise. The linear (cylindrical or conical) pipes support overtones quite well, they just aren't excited as strongly as in reed woodwinds. Whistling (and, I'd suspect, ocarina) is different, because the resonance chamber isn't tube-shaped at all.

      – leftaroundabout
      Jun 2 at 10:57






      @ToddWilcox flutes, at least in low register, produce something closer to triangle than sine spectrum-wise. The linear (cylindrical or conical) pipes support overtones quite well, they just aren't excited as strongly as in reed woodwinds. Whistling (and, I'd suspect, ocarina) is different, because the resonance chamber isn't tube-shaped at all.

      – leftaroundabout
      Jun 2 at 10:57












      12


















      As far as I know every instrument produces overtones. Some might think that unpitched percussion don't have overtone, but they produce them as well.



      However, there are some electronic instruments, such as synthesizers (sine waves) which can be played without producing any overtones, but every acoustic instrument does.



      If I'm correct the ocarina might be the instrument which come as close as possible to creating 'no overtones'. In fact, they do create overtones as well, but because of their shape, the overtones are actually many octaves above the keynote scale.






      share|improve this answer





















      • 12





        The whole reason we call those instruments "unpitched" is because of their numerous inharmonic overtones. +1

        – user45266
        Jun 1 at 20:25











      • Sine waves from synths and unpitched percussion would have been my guess as well. Nice answer

        – Shevliaskovic
        Jun 2 at 8:05






      • 3





        @Shevliaskovic Synths yes (or at least maybe) - unpitched no. As user45266 says: unpitched instruments have many overtones but they are not integer multiples of the fundamental as usual. It is these non-integer harmonics that make it "untuned". The ear cannot make sense of these harmonics.

        – badjohn
        Jun 3 at 15:35















      12


















      As far as I know every instrument produces overtones. Some might think that unpitched percussion don't have overtone, but they produce them as well.



      However, there are some electronic instruments, such as synthesizers (sine waves) which can be played without producing any overtones, but every acoustic instrument does.



      If I'm correct the ocarina might be the instrument which come as close as possible to creating 'no overtones'. In fact, they do create overtones as well, but because of their shape, the overtones are actually many octaves above the keynote scale.






      share|improve this answer





















      • 12





        The whole reason we call those instruments "unpitched" is because of their numerous inharmonic overtones. +1

        – user45266
        Jun 1 at 20:25











      • Sine waves from synths and unpitched percussion would have been my guess as well. Nice answer

        – Shevliaskovic
        Jun 2 at 8:05






      • 3





        @Shevliaskovic Synths yes (or at least maybe) - unpitched no. As user45266 says: unpitched instruments have many overtones but they are not integer multiples of the fundamental as usual. It is these non-integer harmonics that make it "untuned". The ear cannot make sense of these harmonics.

        – badjohn
        Jun 3 at 15:35













      12














      12










      12









      As far as I know every instrument produces overtones. Some might think that unpitched percussion don't have overtone, but they produce them as well.



      However, there are some electronic instruments, such as synthesizers (sine waves) which can be played without producing any overtones, but every acoustic instrument does.



      If I'm correct the ocarina might be the instrument which come as close as possible to creating 'no overtones'. In fact, they do create overtones as well, but because of their shape, the overtones are actually many octaves above the keynote scale.






      share|improve this answer














      As far as I know every instrument produces overtones. Some might think that unpitched percussion don't have overtone, but they produce them as well.



      However, there are some electronic instruments, such as synthesizers (sine waves) which can be played without producing any overtones, but every acoustic instrument does.



      If I'm correct the ocarina might be the instrument which come as close as possible to creating 'no overtones'. In fact, they do create overtones as well, but because of their shape, the overtones are actually many octaves above the keynote scale.







      share|improve this answer













      share|improve this answer




      share|improve this answer










      answered Jun 1 at 18:52









      AndyAndy

      2,3602 silver badges32 bronze badges




      2,3602 silver badges32 bronze badges










      • 12





        The whole reason we call those instruments "unpitched" is because of their numerous inharmonic overtones. +1

        – user45266
        Jun 1 at 20:25











      • Sine waves from synths and unpitched percussion would have been my guess as well. Nice answer

        – Shevliaskovic
        Jun 2 at 8:05






      • 3





        @Shevliaskovic Synths yes (or at least maybe) - unpitched no. As user45266 says: unpitched instruments have many overtones but they are not integer multiples of the fundamental as usual. It is these non-integer harmonics that make it "untuned". The ear cannot make sense of these harmonics.

        – badjohn
        Jun 3 at 15:35












      • 12





        The whole reason we call those instruments "unpitched" is because of their numerous inharmonic overtones. +1

        – user45266
        Jun 1 at 20:25











      • Sine waves from synths and unpitched percussion would have been my guess as well. Nice answer

        – Shevliaskovic
        Jun 2 at 8:05






      • 3





        @Shevliaskovic Synths yes (or at least maybe) - unpitched no. As user45266 says: unpitched instruments have many overtones but they are not integer multiples of the fundamental as usual. It is these non-integer harmonics that make it "untuned". The ear cannot make sense of these harmonics.

        – badjohn
        Jun 3 at 15:35







      12




      12





      The whole reason we call those instruments "unpitched" is because of their numerous inharmonic overtones. +1

      – user45266
      Jun 1 at 20:25





      The whole reason we call those instruments "unpitched" is because of their numerous inharmonic overtones. +1

      – user45266
      Jun 1 at 20:25













      Sine waves from synths and unpitched percussion would have been my guess as well. Nice answer

      – Shevliaskovic
      Jun 2 at 8:05





      Sine waves from synths and unpitched percussion would have been my guess as well. Nice answer

      – Shevliaskovic
      Jun 2 at 8:05




      3




      3





      @Shevliaskovic Synths yes (or at least maybe) - unpitched no. As user45266 says: unpitched instruments have many overtones but they are not integer multiples of the fundamental as usual. It is these non-integer harmonics that make it "untuned". The ear cannot make sense of these harmonics.

      – badjohn
      Jun 3 at 15:35





      @Shevliaskovic Synths yes (or at least maybe) - unpitched no. As user45266 says: unpitched instruments have many overtones but they are not integer multiples of the fundamental as usual. It is these non-integer harmonics that make it "untuned". The ear cannot make sense of these harmonics.

      – badjohn
      Jun 3 at 15:35











      7


















      It is worth looking at the reason WHY there are so few instruments that produce sine waves. It is clearly fairly difficult, from the point of view of physics, to make a sine wave without electronics, but people could have tried to get close if they wanted to.



      The psycho-acoustic answer is that few attempted this because it does not sound interesting. It is notable that, of the examples suggested, most are:




      Not designed for human entertainment (e.g. tuning fork)

      Designed as part of something (e.g. one stop on a synthesizer, to be played with others)

      Designed with other features to make the sound more interesting (e.g. theramin)




      One instrument that gets fairly close is the Stylophone. This produces a sine wave - in theory - simply because this was the cheapest sound to aim for in an electronic instrument. Any deviation from the sine wave is not caused by aesthetic considerations, but by an over-riding desire for cheapness in the design brief. That is to say, the overtones are caused entirely by the cheap amplifier, cheap speaker and cheap plastic case.






      share|improve this answer





















      • 1





        Circuits to produce clean sine waves whose amplitude is consistent over a range of frequencies are nowhere near as cheap as circuits to produce pulses at an adjustable rate. Pulse waves and square waves are much cheaper and easier to produce, and are what I'd expect from a simple stylophone circuit.

        – supercat
        Jun 3 at 19:39











      • @supercat But the problem with pulses is that you would get a huge amount of higher harmonics and you would need to attenuate these. Doing this in a way that produced a similar tone at different frequencies would have been very difficult. In my experience a harmonic oscillator was the standard frequency generator before ICs and I am reasonably certain this is what the link means by a voltage control oscillator, even though I cannot find this stated specifically.

        – David Robinson
        Jun 3 at 21:25






      • 2





        An LC harmonic oscillator using a tuned coil can be a very stable way of generating a continuous reasonably-clean sine wave at one particular amplitude and frequency, but there are trade-offs between speed of start-up, ability to adjust the output frequency, and purity of the output waveform. Toys like otamatones use relaxation oscillators (such oscillators have a distinctive, decidedly non-sinusoidal sound), and I would expect that stylophones would too.

        – supercat
        Jun 3 at 22:25






      • 2





        You win. @supercat. I have managed to find a website where it has been reverse engineered and it was a relaxation circuit powered by a Programmable Uni-junction Transistor. Not surprisingly, it was replaced with a 555 at some stage after the invention of the most successful chip ever.

        – David Robinson
        Jun 4 at 0:05











      • I'd not seen the actual schematic for the original Stylophone, but it's interesting to note that the output of the vibrato circuit is much closer to sinusoidal than the audio output of the Stylophone (possible because it only has to operate at one rate). To help it start quickly, though, the loop gain is set high enough to cause distortion which is visible on the scope trace.

        – supercat
        Jun 4 at 15:39















      7


















      It is worth looking at the reason WHY there are so few instruments that produce sine waves. It is clearly fairly difficult, from the point of view of physics, to make a sine wave without electronics, but people could have tried to get close if they wanted to.



      The psycho-acoustic answer is that few attempted this because it does not sound interesting. It is notable that, of the examples suggested, most are:




      Not designed for human entertainment (e.g. tuning fork)

      Designed as part of something (e.g. one stop on a synthesizer, to be played with others)

      Designed with other features to make the sound more interesting (e.g. theramin)




      One instrument that gets fairly close is the Stylophone. This produces a sine wave - in theory - simply because this was the cheapest sound to aim for in an electronic instrument. Any deviation from the sine wave is not caused by aesthetic considerations, but by an over-riding desire for cheapness in the design brief. That is to say, the overtones are caused entirely by the cheap amplifier, cheap speaker and cheap plastic case.






      share|improve this answer





















      • 1





        Circuits to produce clean sine waves whose amplitude is consistent over a range of frequencies are nowhere near as cheap as circuits to produce pulses at an adjustable rate. Pulse waves and square waves are much cheaper and easier to produce, and are what I'd expect from a simple stylophone circuit.

        – supercat
        Jun 3 at 19:39











      • @supercat But the problem with pulses is that you would get a huge amount of higher harmonics and you would need to attenuate these. Doing this in a way that produced a similar tone at different frequencies would have been very difficult. In my experience a harmonic oscillator was the standard frequency generator before ICs and I am reasonably certain this is what the link means by a voltage control oscillator, even though I cannot find this stated specifically.

        – David Robinson
        Jun 3 at 21:25






      • 2





        An LC harmonic oscillator using a tuned coil can be a very stable way of generating a continuous reasonably-clean sine wave at one particular amplitude and frequency, but there are trade-offs between speed of start-up, ability to adjust the output frequency, and purity of the output waveform. Toys like otamatones use relaxation oscillators (such oscillators have a distinctive, decidedly non-sinusoidal sound), and I would expect that stylophones would too.

        – supercat
        Jun 3 at 22:25






      • 2





        You win. @supercat. I have managed to find a website where it has been reverse engineered and it was a relaxation circuit powered by a Programmable Uni-junction Transistor. Not surprisingly, it was replaced with a 555 at some stage after the invention of the most successful chip ever.

        – David Robinson
        Jun 4 at 0:05











      • I'd not seen the actual schematic for the original Stylophone, but it's interesting to note that the output of the vibrato circuit is much closer to sinusoidal than the audio output of the Stylophone (possible because it only has to operate at one rate). To help it start quickly, though, the loop gain is set high enough to cause distortion which is visible on the scope trace.

        – supercat
        Jun 4 at 15:39













      7














      7










      7









      It is worth looking at the reason WHY there are so few instruments that produce sine waves. It is clearly fairly difficult, from the point of view of physics, to make a sine wave without electronics, but people could have tried to get close if they wanted to.



      The psycho-acoustic answer is that few attempted this because it does not sound interesting. It is notable that, of the examples suggested, most are:




      Not designed for human entertainment (e.g. tuning fork)

      Designed as part of something (e.g. one stop on a synthesizer, to be played with others)

      Designed with other features to make the sound more interesting (e.g. theramin)




      One instrument that gets fairly close is the Stylophone. This produces a sine wave - in theory - simply because this was the cheapest sound to aim for in an electronic instrument. Any deviation from the sine wave is not caused by aesthetic considerations, but by an over-riding desire for cheapness in the design brief. That is to say, the overtones are caused entirely by the cheap amplifier, cheap speaker and cheap plastic case.






      share|improve this answer














      It is worth looking at the reason WHY there are so few instruments that produce sine waves. It is clearly fairly difficult, from the point of view of physics, to make a sine wave without electronics, but people could have tried to get close if they wanted to.



      The psycho-acoustic answer is that few attempted this because it does not sound interesting. It is notable that, of the examples suggested, most are:




      Not designed for human entertainment (e.g. tuning fork)

      Designed as part of something (e.g. one stop on a synthesizer, to be played with others)

      Designed with other features to make the sound more interesting (e.g. theramin)




      One instrument that gets fairly close is the Stylophone. This produces a sine wave - in theory - simply because this was the cheapest sound to aim for in an electronic instrument. Any deviation from the sine wave is not caused by aesthetic considerations, but by an over-riding desire for cheapness in the design brief. That is to say, the overtones are caused entirely by the cheap amplifier, cheap speaker and cheap plastic case.







      share|improve this answer













      share|improve this answer




      share|improve this answer










      answered Jun 3 at 14:14









      David RobinsonDavid Robinson

      1711 bronze badge




      1711 bronze badge










      • 1





        Circuits to produce clean sine waves whose amplitude is consistent over a range of frequencies are nowhere near as cheap as circuits to produce pulses at an adjustable rate. Pulse waves and square waves are much cheaper and easier to produce, and are what I'd expect from a simple stylophone circuit.

        – supercat
        Jun 3 at 19:39











      • @supercat But the problem with pulses is that you would get a huge amount of higher harmonics and you would need to attenuate these. Doing this in a way that produced a similar tone at different frequencies would have been very difficult. In my experience a harmonic oscillator was the standard frequency generator before ICs and I am reasonably certain this is what the link means by a voltage control oscillator, even though I cannot find this stated specifically.

        – David Robinson
        Jun 3 at 21:25






      • 2





        An LC harmonic oscillator using a tuned coil can be a very stable way of generating a continuous reasonably-clean sine wave at one particular amplitude and frequency, but there are trade-offs between speed of start-up, ability to adjust the output frequency, and purity of the output waveform. Toys like otamatones use relaxation oscillators (such oscillators have a distinctive, decidedly non-sinusoidal sound), and I would expect that stylophones would too.

        – supercat
        Jun 3 at 22:25






      • 2





        You win. @supercat. I have managed to find a website where it has been reverse engineered and it was a relaxation circuit powered by a Programmable Uni-junction Transistor. Not surprisingly, it was replaced with a 555 at some stage after the invention of the most successful chip ever.

        – David Robinson
        Jun 4 at 0:05











      • I'd not seen the actual schematic for the original Stylophone, but it's interesting to note that the output of the vibrato circuit is much closer to sinusoidal than the audio output of the Stylophone (possible because it only has to operate at one rate). To help it start quickly, though, the loop gain is set high enough to cause distortion which is visible on the scope trace.

        – supercat
        Jun 4 at 15:39












      • 1





        Circuits to produce clean sine waves whose amplitude is consistent over a range of frequencies are nowhere near as cheap as circuits to produce pulses at an adjustable rate. Pulse waves and square waves are much cheaper and easier to produce, and are what I'd expect from a simple stylophone circuit.

        – supercat
        Jun 3 at 19:39











      • @supercat But the problem with pulses is that you would get a huge amount of higher harmonics and you would need to attenuate these. Doing this in a way that produced a similar tone at different frequencies would have been very difficult. In my experience a harmonic oscillator was the standard frequency generator before ICs and I am reasonably certain this is what the link means by a voltage control oscillator, even though I cannot find this stated specifically.

        – David Robinson
        Jun 3 at 21:25






      • 2





        An LC harmonic oscillator using a tuned coil can be a very stable way of generating a continuous reasonably-clean sine wave at one particular amplitude and frequency, but there are trade-offs between speed of start-up, ability to adjust the output frequency, and purity of the output waveform. Toys like otamatones use relaxation oscillators (such oscillators have a distinctive, decidedly non-sinusoidal sound), and I would expect that stylophones would too.

        – supercat
        Jun 3 at 22:25






      • 2





        You win. @supercat. I have managed to find a website where it has been reverse engineered and it was a relaxation circuit powered by a Programmable Uni-junction Transistor. Not surprisingly, it was replaced with a 555 at some stage after the invention of the most successful chip ever.

        – David Robinson
        Jun 4 at 0:05











      • I'd not seen the actual schematic for the original Stylophone, but it's interesting to note that the output of the vibrato circuit is much closer to sinusoidal than the audio output of the Stylophone (possible because it only has to operate at one rate). To help it start quickly, though, the loop gain is set high enough to cause distortion which is visible on the scope trace.

        – supercat
        Jun 4 at 15:39







      1




      1





      Circuits to produce clean sine waves whose amplitude is consistent over a range of frequencies are nowhere near as cheap as circuits to produce pulses at an adjustable rate. Pulse waves and square waves are much cheaper and easier to produce, and are what I'd expect from a simple stylophone circuit.

      – supercat
      Jun 3 at 19:39





      Circuits to produce clean sine waves whose amplitude is consistent over a range of frequencies are nowhere near as cheap as circuits to produce pulses at an adjustable rate. Pulse waves and square waves are much cheaper and easier to produce, and are what I'd expect from a simple stylophone circuit.

      – supercat
      Jun 3 at 19:39













      @supercat But the problem with pulses is that you would get a huge amount of higher harmonics and you would need to attenuate these. Doing this in a way that produced a similar tone at different frequencies would have been very difficult. In my experience a harmonic oscillator was the standard frequency generator before ICs and I am reasonably certain this is what the link means by a voltage control oscillator, even though I cannot find this stated specifically.

      – David Robinson
      Jun 3 at 21:25





      @supercat But the problem with pulses is that you would get a huge amount of higher harmonics and you would need to attenuate these. Doing this in a way that produced a similar tone at different frequencies would have been very difficult. In my experience a harmonic oscillator was the standard frequency generator before ICs and I am reasonably certain this is what the link means by a voltage control oscillator, even though I cannot find this stated specifically.

      – David Robinson
      Jun 3 at 21:25




      2




      2





      An LC harmonic oscillator using a tuned coil can be a very stable way of generating a continuous reasonably-clean sine wave at one particular amplitude and frequency, but there are trade-offs between speed of start-up, ability to adjust the output frequency, and purity of the output waveform. Toys like otamatones use relaxation oscillators (such oscillators have a distinctive, decidedly non-sinusoidal sound), and I would expect that stylophones would too.

      – supercat
      Jun 3 at 22:25





      An LC harmonic oscillator using a tuned coil can be a very stable way of generating a continuous reasonably-clean sine wave at one particular amplitude and frequency, but there are trade-offs between speed of start-up, ability to adjust the output frequency, and purity of the output waveform. Toys like otamatones use relaxation oscillators (such oscillators have a distinctive, decidedly non-sinusoidal sound), and I would expect that stylophones would too.

      – supercat
      Jun 3 at 22:25




      2




      2





      You win. @supercat. I have managed to find a website where it has been reverse engineered and it was a relaxation circuit powered by a Programmable Uni-junction Transistor. Not surprisingly, it was replaced with a 555 at some stage after the invention of the most successful chip ever.

      – David Robinson
      Jun 4 at 0:05





      You win. @supercat. I have managed to find a website where it has been reverse engineered and it was a relaxation circuit powered by a Programmable Uni-junction Transistor. Not surprisingly, it was replaced with a 555 at some stage after the invention of the most successful chip ever.

      – David Robinson
      Jun 4 at 0:05













      I'd not seen the actual schematic for the original Stylophone, but it's interesting to note that the output of the vibrato circuit is much closer to sinusoidal than the audio output of the Stylophone (possible because it only has to operate at one rate). To help it start quickly, though, the loop gain is set high enough to cause distortion which is visible on the scope trace.

      – supercat
      Jun 4 at 15:39





      I'd not seen the actual schematic for the original Stylophone, but it's interesting to note that the output of the vibrato circuit is much closer to sinusoidal than the audio output of the Stylophone (possible because it only has to operate at one rate). To help it start quickly, though, the loop gain is set high enough to cause distortion which is visible on the scope trace.

      – supercat
      Jun 4 at 15:39











      6


















      You can create pure a sine wave with some electronic generators. Another way is to use software. I created a series of pure sine waves in wav files at various frequencies for a hearing test. They don't sound like any real instrument that I have ever heard. So, that says that no instrument that I have heard produces a pure sine wave. Of course, I have not heard all instruments but I have heard many. The closest might be a flute but it still was recognisably different. I do not find a pure sine wave appealing.



      Note that there is more to the difference between the sounds of various instruments than the harmonics: e.g. attack, decay, stability of pitch, etc. Back in the days of cassette tapes I had a tape of piano music stretch badly. It no longer sounded at all like a piano, it sounded like a musical saw. The harmonics would not have been changed (much) by the stretching. It indicated that an essential part of the piano sound is the stability of the pitch. For that reason, since then, I always used solo piano music to assess turntables. It is a long time since I did that though as I was an immediate convert to CDs. Partly due to this experience.






      share|improve this answer























      • 1





        I can confirm your observations about piano: it's an instrument that always makes it obvious when a turntable isn't spinning at a perfectly steady rate.

        – jberryman
        Jun 2 at 20:10











      • One reason your sine waves may not sound like any real instruments is because musical instruments can be distinguished by any other factors. (Check this out: youtu.be/thD6TNUoyIk)

        – user45266
        Jun 3 at 1:05












      • @user45266 Did you read my second paragraph?

        – badjohn
        Jun 3 at 6:41











      • @badjohn Yes. Just wanted an excuse to drop that link there :)

        – user45266
        Jun 3 at 14:56















      6


















      You can create pure a sine wave with some electronic generators. Another way is to use software. I created a series of pure sine waves in wav files at various frequencies for a hearing test. They don't sound like any real instrument that I have ever heard. So, that says that no instrument that I have heard produces a pure sine wave. Of course, I have not heard all instruments but I have heard many. The closest might be a flute but it still was recognisably different. I do not find a pure sine wave appealing.



      Note that there is more to the difference between the sounds of various instruments than the harmonics: e.g. attack, decay, stability of pitch, etc. Back in the days of cassette tapes I had a tape of piano music stretch badly. It no longer sounded at all like a piano, it sounded like a musical saw. The harmonics would not have been changed (much) by the stretching. It indicated that an essential part of the piano sound is the stability of the pitch. For that reason, since then, I always used solo piano music to assess turntables. It is a long time since I did that though as I was an immediate convert to CDs. Partly due to this experience.






      share|improve this answer























      • 1





        I can confirm your observations about piano: it's an instrument that always makes it obvious when a turntable isn't spinning at a perfectly steady rate.

        – jberryman
        Jun 2 at 20:10











      • One reason your sine waves may not sound like any real instruments is because musical instruments can be distinguished by any other factors. (Check this out: youtu.be/thD6TNUoyIk)

        – user45266
        Jun 3 at 1:05












      • @user45266 Did you read my second paragraph?

        – badjohn
        Jun 3 at 6:41











      • @badjohn Yes. Just wanted an excuse to drop that link there :)

        – user45266
        Jun 3 at 14:56













      6














      6










      6









      You can create pure a sine wave with some electronic generators. Another way is to use software. I created a series of pure sine waves in wav files at various frequencies for a hearing test. They don't sound like any real instrument that I have ever heard. So, that says that no instrument that I have heard produces a pure sine wave. Of course, I have not heard all instruments but I have heard many. The closest might be a flute but it still was recognisably different. I do not find a pure sine wave appealing.



      Note that there is more to the difference between the sounds of various instruments than the harmonics: e.g. attack, decay, stability of pitch, etc. Back in the days of cassette tapes I had a tape of piano music stretch badly. It no longer sounded at all like a piano, it sounded like a musical saw. The harmonics would not have been changed (much) by the stretching. It indicated that an essential part of the piano sound is the stability of the pitch. For that reason, since then, I always used solo piano music to assess turntables. It is a long time since I did that though as I was an immediate convert to CDs. Partly due to this experience.






      share|improve this answer
















      You can create pure a sine wave with some electronic generators. Another way is to use software. I created a series of pure sine waves in wav files at various frequencies for a hearing test. They don't sound like any real instrument that I have ever heard. So, that says that no instrument that I have heard produces a pure sine wave. Of course, I have not heard all instruments but I have heard many. The closest might be a flute but it still was recognisably different. I do not find a pure sine wave appealing.



      Note that there is more to the difference between the sounds of various instruments than the harmonics: e.g. attack, decay, stability of pitch, etc. Back in the days of cassette tapes I had a tape of piano music stretch badly. It no longer sounded at all like a piano, it sounded like a musical saw. The harmonics would not have been changed (much) by the stretching. It indicated that an essential part of the piano sound is the stability of the pitch. For that reason, since then, I always used solo piano music to assess turntables. It is a long time since I did that though as I was an immediate convert to CDs. Partly due to this experience.







      share|improve this answer















      share|improve this answer




      share|improve this answer








      edited Jun 2 at 20:14

























      answered Jun 2 at 10:08









      badjohnbadjohn

      2,4117 silver badges27 bronze badges




      2,4117 silver badges27 bronze badges










      • 1





        I can confirm your observations about piano: it's an instrument that always makes it obvious when a turntable isn't spinning at a perfectly steady rate.

        – jberryman
        Jun 2 at 20:10











      • One reason your sine waves may not sound like any real instruments is because musical instruments can be distinguished by any other factors. (Check this out: youtu.be/thD6TNUoyIk)

        – user45266
        Jun 3 at 1:05












      • @user45266 Did you read my second paragraph?

        – badjohn
        Jun 3 at 6:41











      • @badjohn Yes. Just wanted an excuse to drop that link there :)

        – user45266
        Jun 3 at 14:56












      • 1





        I can confirm your observations about piano: it's an instrument that always makes it obvious when a turntable isn't spinning at a perfectly steady rate.

        – jberryman
        Jun 2 at 20:10











      • One reason your sine waves may not sound like any real instruments is because musical instruments can be distinguished by any other factors. (Check this out: youtu.be/thD6TNUoyIk)

        – user45266
        Jun 3 at 1:05












      • @user45266 Did you read my second paragraph?

        – badjohn
        Jun 3 at 6:41











      • @badjohn Yes. Just wanted an excuse to drop that link there :)

        – user45266
        Jun 3 at 14:56







      1




      1





      I can confirm your observations about piano: it's an instrument that always makes it obvious when a turntable isn't spinning at a perfectly steady rate.

      – jberryman
      Jun 2 at 20:10





      I can confirm your observations about piano: it's an instrument that always makes it obvious when a turntable isn't spinning at a perfectly steady rate.

      – jberryman
      Jun 2 at 20:10













      One reason your sine waves may not sound like any real instruments is because musical instruments can be distinguished by any other factors. (Check this out: youtu.be/thD6TNUoyIk)

      – user45266
      Jun 3 at 1:05






      One reason your sine waves may not sound like any real instruments is because musical instruments can be distinguished by any other factors. (Check this out: youtu.be/thD6TNUoyIk)

      – user45266
      Jun 3 at 1:05














      @user45266 Did you read my second paragraph?

      – badjohn
      Jun 3 at 6:41





      @user45266 Did you read my second paragraph?

      – badjohn
      Jun 3 at 6:41













      @badjohn Yes. Just wanted an excuse to drop that link there :)

      – user45266
      Jun 3 at 14:56





      @badjohn Yes. Just wanted an excuse to drop that link there :)

      – user45266
      Jun 3 at 14:56











      6



















      frequencies other than the dominant frequency of the note




      Any finite wave has frequencies other than the dominant frequency. Single frequency is only possible for a sinusoid that has lasted since forever with constant amplitude and will continue to do so.



      For any finite wave you will be able to perceive (with your ear or any physical measuring device) a bundle of neighbouring frequencies like seen in the image included in another answer. The width of the bundle is limited by duration of the signal.



      NOTE:
      This answer does not discuss overtones in the common meaning of the term (multiples of fundamental frequency) but the definition from the question (quoted above).






      share|improve this answer























      • 3





        Yeah, though this is a bit pedantic. By making the tone last long you can easily push all the “side channel” content below the audibility threshold.

        – leftaroundabout
        Jun 2 at 11:05











      • @leftaroundabout That's why I added "much" in my answer.

        – badjohn
        Jun 2 at 12:40






      • 1





        Is this really true from the point of view of a listener? I'd find a little more explanation useful here.

        – topo morto
        Jun 2 at 20:27











      • @topomorto It is true from a mathematical point of view, not from a listener's point of view. It's trivial to develop sounds whose harmonics due to this effect are so far outside the human hearing range that we can effectively ignore them. But when doing other things (such as working with pulsed lasers), these extra harmonics are an incredibly important nuance.

        – Cort Ammon
        Jun 3 at 4:35











      • @CortAmmon what I'm wondering is whether it really is philosophically true from a mathematical point of view, or if it's only true from the point of view of a certain analysis technique. It's possible to generate a finite number of cycles of a sine wave of any frequency; that will be heard as a sine wave persisting for a certain duration. If there's any energy at a different frequency, where has it come from?

        – topo morto
        Jun 3 at 5:45















      6



















      frequencies other than the dominant frequency of the note




      Any finite wave has frequencies other than the dominant frequency. Single frequency is only possible for a sinusoid that has lasted since forever with constant amplitude and will continue to do so.



      For any finite wave you will be able to perceive (with your ear or any physical measuring device) a bundle of neighbouring frequencies like seen in the image included in another answer. The width of the bundle is limited by duration of the signal.



      NOTE:
      This answer does not discuss overtones in the common meaning of the term (multiples of fundamental frequency) but the definition from the question (quoted above).






      share|improve this answer























      • 3





        Yeah, though this is a bit pedantic. By making the tone last long you can easily push all the “side channel” content below the audibility threshold.

        – leftaroundabout
        Jun 2 at 11:05











      • @leftaroundabout That's why I added "much" in my answer.

        – badjohn
        Jun 2 at 12:40






      • 1





        Is this really true from the point of view of a listener? I'd find a little more explanation useful here.

        – topo morto
        Jun 2 at 20:27











      • @topomorto It is true from a mathematical point of view, not from a listener's point of view. It's trivial to develop sounds whose harmonics due to this effect are so far outside the human hearing range that we can effectively ignore them. But when doing other things (such as working with pulsed lasers), these extra harmonics are an incredibly important nuance.

        – Cort Ammon
        Jun 3 at 4:35











      • @CortAmmon what I'm wondering is whether it really is philosophically true from a mathematical point of view, or if it's only true from the point of view of a certain analysis technique. It's possible to generate a finite number of cycles of a sine wave of any frequency; that will be heard as a sine wave persisting for a certain duration. If there's any energy at a different frequency, where has it come from?

        – topo morto
        Jun 3 at 5:45













      6














      6










      6










      frequencies other than the dominant frequency of the note




      Any finite wave has frequencies other than the dominant frequency. Single frequency is only possible for a sinusoid that has lasted since forever with constant amplitude and will continue to do so.



      For any finite wave you will be able to perceive (with your ear or any physical measuring device) a bundle of neighbouring frequencies like seen in the image included in another answer. The width of the bundle is limited by duration of the signal.



      NOTE:
      This answer does not discuss overtones in the common meaning of the term (multiples of fundamental frequency) but the definition from the question (quoted above).






      share|improve this answer

















      frequencies other than the dominant frequency of the note




      Any finite wave has frequencies other than the dominant frequency. Single frequency is only possible for a sinusoid that has lasted since forever with constant amplitude and will continue to do so.



      For any finite wave you will be able to perceive (with your ear or any physical measuring device) a bundle of neighbouring frequencies like seen in the image included in another answer. The width of the bundle is limited by duration of the signal.



      NOTE:
      This answer does not discuss overtones in the common meaning of the term (multiples of fundamental frequency) but the definition from the question (quoted above).







      share|improve this answer















      share|improve this answer




      share|improve this answer








      edited Jun 3 at 20:23

























      answered Jun 2 at 9:38









      DžurisDžuris

      2401 silver badge6 bronze badges




      2401 silver badge6 bronze badges










      • 3





        Yeah, though this is a bit pedantic. By making the tone last long you can easily push all the “side channel” content below the audibility threshold.

        – leftaroundabout
        Jun 2 at 11:05











      • @leftaroundabout That's why I added "much" in my answer.

        – badjohn
        Jun 2 at 12:40






      • 1





        Is this really true from the point of view of a listener? I'd find a little more explanation useful here.

        – topo morto
        Jun 2 at 20:27











      • @topomorto It is true from a mathematical point of view, not from a listener's point of view. It's trivial to develop sounds whose harmonics due to this effect are so far outside the human hearing range that we can effectively ignore them. But when doing other things (such as working with pulsed lasers), these extra harmonics are an incredibly important nuance.

        – Cort Ammon
        Jun 3 at 4:35











      • @CortAmmon what I'm wondering is whether it really is philosophically true from a mathematical point of view, or if it's only true from the point of view of a certain analysis technique. It's possible to generate a finite number of cycles of a sine wave of any frequency; that will be heard as a sine wave persisting for a certain duration. If there's any energy at a different frequency, where has it come from?

        – topo morto
        Jun 3 at 5:45












      • 3





        Yeah, though this is a bit pedantic. By making the tone last long you can easily push all the “side channel” content below the audibility threshold.

        – leftaroundabout
        Jun 2 at 11:05











      • @leftaroundabout That's why I added "much" in my answer.

        – badjohn
        Jun 2 at 12:40






      • 1





        Is this really true from the point of view of a listener? I'd find a little more explanation useful here.

        – topo morto
        Jun 2 at 20:27











      • @topomorto It is true from a mathematical point of view, not from a listener's point of view. It's trivial to develop sounds whose harmonics due to this effect are so far outside the human hearing range that we can effectively ignore them. But when doing other things (such as working with pulsed lasers), these extra harmonics are an incredibly important nuance.

        – Cort Ammon
        Jun 3 at 4:35











      • @CortAmmon what I'm wondering is whether it really is philosophically true from a mathematical point of view, or if it's only true from the point of view of a certain analysis technique. It's possible to generate a finite number of cycles of a sine wave of any frequency; that will be heard as a sine wave persisting for a certain duration. If there's any energy at a different frequency, where has it come from?

        – topo morto
        Jun 3 at 5:45







      3




      3





      Yeah, though this is a bit pedantic. By making the tone last long you can easily push all the “side channel” content below the audibility threshold.

      – leftaroundabout
      Jun 2 at 11:05





      Yeah, though this is a bit pedantic. By making the tone last long you can easily push all the “side channel” content below the audibility threshold.

      – leftaroundabout
      Jun 2 at 11:05













      @leftaroundabout That's why I added "much" in my answer.

      – badjohn
      Jun 2 at 12:40





      @leftaroundabout That's why I added "much" in my answer.

      – badjohn
      Jun 2 at 12:40




      1




      1





      Is this really true from the point of view of a listener? I'd find a little more explanation useful here.

      – topo morto
      Jun 2 at 20:27





      Is this really true from the point of view of a listener? I'd find a little more explanation useful here.

      – topo morto
      Jun 2 at 20:27













      @topomorto It is true from a mathematical point of view, not from a listener's point of view. It's trivial to develop sounds whose harmonics due to this effect are so far outside the human hearing range that we can effectively ignore them. But when doing other things (such as working with pulsed lasers), these extra harmonics are an incredibly important nuance.

      – Cort Ammon
      Jun 3 at 4:35





      @topomorto It is true from a mathematical point of view, not from a listener's point of view. It's trivial to develop sounds whose harmonics due to this effect are so far outside the human hearing range that we can effectively ignore them. But when doing other things (such as working with pulsed lasers), these extra harmonics are an incredibly important nuance.

      – Cort Ammon
      Jun 3 at 4:35













      @CortAmmon what I'm wondering is whether it really is philosophically true from a mathematical point of view, or if it's only true from the point of view of a certain analysis technique. It's possible to generate a finite number of cycles of a sine wave of any frequency; that will be heard as a sine wave persisting for a certain duration. If there's any energy at a different frequency, where has it come from?

      – topo morto
      Jun 3 at 5:45





      @CortAmmon what I'm wondering is whether it really is philosophically true from a mathematical point of view, or if it's only true from the point of view of a certain analysis technique. It's possible to generate a finite number of cycles of a sine wave of any frequency; that will be heard as a sine wave persisting for a certain duration. If there's any energy at a different frequency, where has it come from?

      – topo morto
      Jun 3 at 5:45











      3


















      There are already quite a number of "instruments" listed in other answers but I think a subset of organs may reproduce an sinusoid approximate.



      On the electrical side of things the Hammond organ used a spinning tonewheel and electrical pickup to generate near sines. Each key had several wheels spinning at multiples of the fundamental frequency. You could adjust valves controlling the strength (amplitude) of each harmonics -- an early prototype of additive synthesizers. Hence I will argue that the Hammond organ, unlike other instruments, was designed with sinusoidal production in mind. You could also argue that the Hammond was simply an attempt to replicate the fuller feel of true pipe organ.1 A live demonstration of can be found on youtube (with accompanying spectrogram).



      There's also the original Telharmonium, a gargantuan factory-sized machine that produced near sines in a similar way.



      On the Aerophone side of the things, there are certain pipes which are highly sinusoidal including the Tibia pipes of which you can hear a bit in the first 30 seconds of this video.



      1You could also argue that the Hammond was simply an attempt to replicate the fuller feel of true pipe organ.






      share|improve this answer






























        3


















        There are already quite a number of "instruments" listed in other answers but I think a subset of organs may reproduce an sinusoid approximate.



        On the electrical side of things the Hammond organ used a spinning tonewheel and electrical pickup to generate near sines. Each key had several wheels spinning at multiples of the fundamental frequency. You could adjust valves controlling the strength (amplitude) of each harmonics -- an early prototype of additive synthesizers. Hence I will argue that the Hammond organ, unlike other instruments, was designed with sinusoidal production in mind. You could also argue that the Hammond was simply an attempt to replicate the fuller feel of true pipe organ.1 A live demonstration of can be found on youtube (with accompanying spectrogram).



        There's also the original Telharmonium, a gargantuan factory-sized machine that produced near sines in a similar way.



        On the Aerophone side of the things, there are certain pipes which are highly sinusoidal including the Tibia pipes of which you can hear a bit in the first 30 seconds of this video.



        1You could also argue that the Hammond was simply an attempt to replicate the fuller feel of true pipe organ.






        share|improve this answer




























          3














          3










          3









          There are already quite a number of "instruments" listed in other answers but I think a subset of organs may reproduce an sinusoid approximate.



          On the electrical side of things the Hammond organ used a spinning tonewheel and electrical pickup to generate near sines. Each key had several wheels spinning at multiples of the fundamental frequency. You could adjust valves controlling the strength (amplitude) of each harmonics -- an early prototype of additive synthesizers. Hence I will argue that the Hammond organ, unlike other instruments, was designed with sinusoidal production in mind. You could also argue that the Hammond was simply an attempt to replicate the fuller feel of true pipe organ.1 A live demonstration of can be found on youtube (with accompanying spectrogram).



          There's also the original Telharmonium, a gargantuan factory-sized machine that produced near sines in a similar way.



          On the Aerophone side of the things, there are certain pipes which are highly sinusoidal including the Tibia pipes of which you can hear a bit in the first 30 seconds of this video.



          1You could also argue that the Hammond was simply an attempt to replicate the fuller feel of true pipe organ.






          share|improve this answer














          There are already quite a number of "instruments" listed in other answers but I think a subset of organs may reproduce an sinusoid approximate.



          On the electrical side of things the Hammond organ used a spinning tonewheel and electrical pickup to generate near sines. Each key had several wheels spinning at multiples of the fundamental frequency. You could adjust valves controlling the strength (amplitude) of each harmonics -- an early prototype of additive synthesizers. Hence I will argue that the Hammond organ, unlike other instruments, was designed with sinusoidal production in mind. You could also argue that the Hammond was simply an attempt to replicate the fuller feel of true pipe organ.1 A live demonstration of can be found on youtube (with accompanying spectrogram).



          There's also the original Telharmonium, a gargantuan factory-sized machine that produced near sines in a similar way.



          On the Aerophone side of the things, there are certain pipes which are highly sinusoidal including the Tibia pipes of which you can hear a bit in the first 30 seconds of this video.



          1You could also argue that the Hammond was simply an attempt to replicate the fuller feel of true pipe organ.







          share|improve this answer













          share|improve this answer




          share|improve this answer










          answered Jun 2 at 20:43









          nabulatornabulator

          1315 bronze badges




          1315 bronze badges
























              2


















              See also the lasso d'amore at which reference is stated "the timbre of the notes [...] are 'almost all fundamental,' according to Fourier analysis (similar to sine waves)." It is possible to play the instrument at a speed so near the transition from one resonance to another that two simultaneous pitches are produced. (This tends to be possible at higher speeds, at which it is difficult to prevent having different speeds in different arcs of the arm movement producing different tones from each arc.)






              share|improve this answer


























              • Ouch! Almost as horrifying as those vuvuzelas :-)

                – Carl Witthoft
                Jun 3 at 13:40















              2


















              See also the lasso d'amore at which reference is stated "the timbre of the notes [...] are 'almost all fundamental,' according to Fourier analysis (similar to sine waves)." It is possible to play the instrument at a speed so near the transition from one resonance to another that two simultaneous pitches are produced. (This tends to be possible at higher speeds, at which it is difficult to prevent having different speeds in different arcs of the arm movement producing different tones from each arc.)






              share|improve this answer


























              • Ouch! Almost as horrifying as those vuvuzelas :-)

                – Carl Witthoft
                Jun 3 at 13:40













              2














              2










              2









              See also the lasso d'amore at which reference is stated "the timbre of the notes [...] are 'almost all fundamental,' according to Fourier analysis (similar to sine waves)." It is possible to play the instrument at a speed so near the transition from one resonance to another that two simultaneous pitches are produced. (This tends to be possible at higher speeds, at which it is difficult to prevent having different speeds in different arcs of the arm movement producing different tones from each arc.)






              share|improve this answer














              See also the lasso d'amore at which reference is stated "the timbre of the notes [...] are 'almost all fundamental,' according to Fourier analysis (similar to sine waves)." It is possible to play the instrument at a speed so near the transition from one resonance to another that two simultaneous pitches are produced. (This tends to be possible at higher speeds, at which it is difficult to prevent having different speeds in different arcs of the arm movement producing different tones from each arc.)







              share|improve this answer













              share|improve this answer




              share|improve this answer










              answered Jun 3 at 5:44









              Eric TowersEric Towers

              1692 bronze badges




              1692 bronze badges















              • Ouch! Almost as horrifying as those vuvuzelas :-)

                – Carl Witthoft
                Jun 3 at 13:40

















              • Ouch! Almost as horrifying as those vuvuzelas :-)

                – Carl Witthoft
                Jun 3 at 13:40
















              Ouch! Almost as horrifying as those vuvuzelas :-)

              – Carl Witthoft
              Jun 3 at 13:40





              Ouch! Almost as horrifying as those vuvuzelas :-)

              – Carl Witthoft
              Jun 3 at 13:40











              0


















              A pure sine wave is the only instrument that plays a tone without any overtones. This isn't a strange coincidence. An instrument's timbre is the consequence of its unique overtones - which ones it has, which ones are loudest, whether some overtones are slightly flat or sharp, and how the overtones mutate over time. Since there's only one timbre profile that can come from having no overtones, it shouldn't come as a surprise that there's only one sound that fits the bill. And when you strip all overtones from a sound wave, a sine wave is exactly what you get.






              share|improve this answer






























                0


















                A pure sine wave is the only instrument that plays a tone without any overtones. This isn't a strange coincidence. An instrument's timbre is the consequence of its unique overtones - which ones it has, which ones are loudest, whether some overtones are slightly flat or sharp, and how the overtones mutate over time. Since there's only one timbre profile that can come from having no overtones, it shouldn't come as a surprise that there's only one sound that fits the bill. And when you strip all overtones from a sound wave, a sine wave is exactly what you get.






                share|improve this answer




























                  0














                  0










                  0









                  A pure sine wave is the only instrument that plays a tone without any overtones. This isn't a strange coincidence. An instrument's timbre is the consequence of its unique overtones - which ones it has, which ones are loudest, whether some overtones are slightly flat or sharp, and how the overtones mutate over time. Since there's only one timbre profile that can come from having no overtones, it shouldn't come as a surprise that there's only one sound that fits the bill. And when you strip all overtones from a sound wave, a sine wave is exactly what you get.






                  share|improve this answer














                  A pure sine wave is the only instrument that plays a tone without any overtones. This isn't a strange coincidence. An instrument's timbre is the consequence of its unique overtones - which ones it has, which ones are loudest, whether some overtones are slightly flat or sharp, and how the overtones mutate over time. Since there's only one timbre profile that can come from having no overtones, it shouldn't come as a surprise that there's only one sound that fits the bill. And when you strip all overtones from a sound wave, a sine wave is exactly what you get.







                  share|improve this answer













                  share|improve this answer




                  share|improve this answer










                  answered Jun 3 at 18:38









                  KevinKevin

                  2,5523 gold badges17 silver badges33 bronze badges




                  2,5523 gold badges17 silver badges33 bronze badges
























                      -2


















                      By far, I'm no expert in this, but here's my best shot.



                      Timbre is the result of a specific series of overtones sounding off louder than others. We are looking for a timbre that only has the fundamental sounding off and nothing sounding above it. I suppose anything that could produce a single sine wave would be your answer. Perhaps an organ with only one tone sounding?






                      share|improve this answer























                      • 2





                        No, because even a single organ pipe (a giant whistle) will generate some overtones.

                        – Carl Witthoft
                        Jun 3 at 13:39











                      • As @CarlWitthoft noted, organ pipes generate overtones, too. In fact, the organ stops (registers) are distinguished by their overtones. See pykett.org.uk/tonal-structure-of-organ-strings.htm#ToneQuality for a few examples.

                        – Melebius
                        Jun 4 at 12:34















                      -2


















                      By far, I'm no expert in this, but here's my best shot.



                      Timbre is the result of a specific series of overtones sounding off louder than others. We are looking for a timbre that only has the fundamental sounding off and nothing sounding above it. I suppose anything that could produce a single sine wave would be your answer. Perhaps an organ with only one tone sounding?






                      share|improve this answer























                      • 2





                        No, because even a single organ pipe (a giant whistle) will generate some overtones.

                        – Carl Witthoft
                        Jun 3 at 13:39











                      • As @CarlWitthoft noted, organ pipes generate overtones, too. In fact, the organ stops (registers) are distinguished by their overtones. See pykett.org.uk/tonal-structure-of-organ-strings.htm#ToneQuality for a few examples.

                        – Melebius
                        Jun 4 at 12:34













                      -2














                      -2










                      -2









                      By far, I'm no expert in this, but here's my best shot.



                      Timbre is the result of a specific series of overtones sounding off louder than others. We are looking for a timbre that only has the fundamental sounding off and nothing sounding above it. I suppose anything that could produce a single sine wave would be your answer. Perhaps an organ with only one tone sounding?






                      share|improve this answer
















                      By far, I'm no expert in this, but here's my best shot.



                      Timbre is the result of a specific series of overtones sounding off louder than others. We are looking for a timbre that only has the fundamental sounding off and nothing sounding above it. I suppose anything that could produce a single sine wave would be your answer. Perhaps an organ with only one tone sounding?







                      share|improve this answer















                      share|improve this answer




                      share|improve this answer








                      edited Jun 1 at 19:36

























                      answered Jun 1 at 17:52









                      Adam PetersAdam Peters

                      365 bronze badges




                      365 bronze badges










                      • 2





                        No, because even a single organ pipe (a giant whistle) will generate some overtones.

                        – Carl Witthoft
                        Jun 3 at 13:39











                      • As @CarlWitthoft noted, organ pipes generate overtones, too. In fact, the organ stops (registers) are distinguished by their overtones. See pykett.org.uk/tonal-structure-of-organ-strings.htm#ToneQuality for a few examples.

                        – Melebius
                        Jun 4 at 12:34












                      • 2





                        No, because even a single organ pipe (a giant whistle) will generate some overtones.

                        – Carl Witthoft
                        Jun 3 at 13:39











                      • As @CarlWitthoft noted, organ pipes generate overtones, too. In fact, the organ stops (registers) are distinguished by their overtones. See pykett.org.uk/tonal-structure-of-organ-strings.htm#ToneQuality for a few examples.

                        – Melebius
                        Jun 4 at 12:34







                      2




                      2





                      No, because even a single organ pipe (a giant whistle) will generate some overtones.

                      – Carl Witthoft
                      Jun 3 at 13:39





                      No, because even a single organ pipe (a giant whistle) will generate some overtones.

                      – Carl Witthoft
                      Jun 3 at 13:39













                      As @CarlWitthoft noted, organ pipes generate overtones, too. In fact, the organ stops (registers) are distinguished by their overtones. See pykett.org.uk/tonal-structure-of-organ-strings.htm#ToneQuality for a few examples.

                      – Melebius
                      Jun 4 at 12:34





                      As @CarlWitthoft noted, organ pipes generate overtones, too. In fact, the organ stops (registers) are distinguished by their overtones. See pykett.org.uk/tonal-structure-of-organ-strings.htm#ToneQuality for a few examples.

                      – Melebius
                      Jun 4 at 12:34


















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