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My mother played on a piano with 96 keys (the conventional has 88). As far as I know, no music was ever scored for the additional keys, all of which were on the bass end of the instrument. My understanding was that they were added due to sympathic vibrations for the other keys.
Resonance is achieved from the fractional components of the fundamental tone (1/2, 1/3, 1/4, 1/5, and so on). Due longer strings contribute more, less, or the same as shorter strings in this process?
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.



Mathematically they may all contribute the same, but part of that would involve some sophistry about infinitessimals.
Longer strings probably contribute more, as the higher strings are stiffer, but of course the ones contributed by the higher strings tend to be inaudible as their pitch is so much higher, hence high strings sound more like sine waves. Also where the hammers hit will affect things. If the hammers hit the higher strings closer to their middles, then it might produce fewer harmonics.
And it is said that we can't hear the fundamentals of the lower strings, we construct them from the overtones.
Andrew
Verified human - the ignominy!











Irv -
I remember being surprised upon first playing my 5-string violin just how much the C string contributed to the sound when I wasn't even playing on that string. Thinking, "I would miss out on this if I had a bought a regular violin"!
Now, I swear I notice even more resonance across ALL my strings after I just changed out that C for a different one.
No difference in length of string... maybe we hear the longer wavelength differently? I think we "feel" longer wavelengths more.
I regret not studying more about sound waves. I've always been drawn to waves/ripples of all kinds - very evident in most of the artwork I created with glass (after my time in the military & before my health issues). Wave forms/edges, wave/ripple textures, role of light & color, even water... and I had been wanting to incorporate sound waves because of my love of music (and what about ripples in time?).
Sorry, I digress...
Gordon Shumway - sorry, I didn't see your post.
- Emily



Of course a piano's strings are damped, so in theory the bass strings won't contribute any true sympathetic sound, just possible muddiness because the damping is limited (I can't even remember what a piano sounds like - these things aren't programmed into electric pianos!).
Andrew
Verified human - the ignominy!



A good pianist is sparing with the pedals, otherwise everything really will sound like mud!
I grant you may have a point, but an 88-key piano has more than enough such "resonance" with the pedal down. 8 more won't add to it, and if the pedal is used too much, those extra 8 keys will be the straw that broke the camel's back!
Narciso Yépes played on a 10-string guitar for the resonance of the extra 4 bass strings (their tuning was odd - you'll have to Google it), but that was a different kettle of fish - a guitar's 6 strings offer a much more limited range of sympathetic resonance than a piano's 88 (pretending there's only one string per note)
Andrew
Verified human - the ignominy!











Irv, Gordon Shumway - okay, now I'm really curious - why 96 keys?
Here's what I found!
https://www.pianistmagazine.co.....and-piano/
- Emily

Member

I've been researching Carleen Hutchins and her contributions to the stringed instrument world and the Violin Octet family of instruments. She spent many years studying the acoustical science behind the sounds we hear on our "axes". I would be so bold as to suggest that Fiddlerman give some consideration to a trial-basis construction of some of the Violin Octet family of instruments. Don't know if there would be a market for them, but I would love to do a side-by-side comparison with these instruments against standard instruments. Resonance and harmonics- the search for tone is never-ending.



@JohnBAngel and others. Yo Yo Ma used a Hutchins viola when he recorded the Bela Bartok Viola Concerto (The New York Album). I believe it was considered blasphemous at the time by viola performers, but he won a Grammy for the album.
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.



@Mouse and @JohnBAngel , and others. I had a thought, which might be of use to someone.
A viola should have a body length of about 20 inches. Carleen Hutchins never made a viola of this length, but one of her violin octet was very close.
A 1/8 cello with an extended tail pin and suitable viola strings could be used as a full acoustic sized viola, using existing instrument moulds and patterns. Obviously, it would need to be played as if a cello. Obtaining strings the required length might be a problem. I do not see any problems with the physics.
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.



@Mouse . Cello strings on a viola would cause a lot more strain than viola strings on a cello. I would think that the base of the instrument could rest on the thighs. Without trying it, I am not quite sure about the ergonomics.
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.



Hi @ELCBK . Another poster mentioned the possibility of making instruments along a pattern originally created by Cathleen Hutchins. From that, I began to think it possible to create an acoustically superior viola starting with a “standard” sized 1/8 cello and recorded those thoughts here.
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.

Member

Irv,
Going back to your original post on resonance, it is possible that you have asked a question that is not that easy to answer. I have been looking around on the internet and it seems that there is a lot of information to sift through. My opinion right now is that the longer strings would contribute more sympathetic resonance than the shorter strings because more fractional tones would be available in our (human) sonic frequencies. There may be the same number of overtones on a higher string, however, the range may extend beyond our capacity to hear it. It is possible that something like this would drive a dog crazy, or any other creature that can hear ranges higher than humans.
I have noticed that my dogs react ambitiously when I play my harmonicas and we do harmonica jams regularly. They do not respond in this fashion to my stringed instruments. I think it may be due to overtones at higher frequencies.
I am going to look around some more but I am pretty sure that you have it figured out correctly. Take a look at the Wikipedia information about resonance- I found it interesting.



@JohnBAngel and others. We had pets growing up but I do not remember any having discomfort when she played. I remember my grandfather tuned the piano on alternate weeks and the lower keys had a quite visceral quality, more felt than actually heard. Each key had several strings (I think 3 each), which needed to be slightly out of phase with each other but not enough to beat.
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.
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