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A piano "string" which is actually just a metal hoop. No tension need be added because the structure of the "hooped string" is such that it will vibrate like a bell when struck thus remaining permanently tuned.
The different sizes could be lined up inside the piano concentrically and played by the
same hammer/damping mechanism of a regular piano.
Optional: You could have the hammers located at the harmonic points so you could partially dampen the strings to get a neat effect. You'd have to stagger the locations of the hammer/damper mechanisms anyway so this could be kind of cool.
In-plane vibrations of annular rings
http://imechanica.o...eVibrations1976.pdf
The vibrational modes of rings are inharmonic. [spidermother, Dec 05 2013]
Toy piano
http://en.wikipedia.org/wiki/Toy_piano
[pocmloc, Dec 05 2013]
[link]
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This is a baby step away from a glockenspiel, which I understand to be a pianoid arrangement where the hammer hits chimes. Is there not another such device where the hammer hits a bell? |
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You could have the hammers hit all sorts of things. I like as an art project a varied assortment of objects, hanging, mounted and otherwise, with the only commonality that when struck they produce a tone of the appropriate pitch. |
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One could also do it with a line of chorus members. Maybe in the second act. The show could be called "Piano Mutations". |
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Bungston got in ahead of me. This is essentially a
keyed glockenspiel. If you lengthen the hoops, it
becomes chimes or tubular bells. If you close off the
top, it becomes a carillon. |
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I'm thinking a hoop would offer sustain characteristics more simliar to a string than would the bell or bar of a glockenspiel. |
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I'm not convinced of that, it would depend on the
mounting. If you can get it free hanging, then yes it
would probably more closely approach the chimes. |
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Well, correct me if I'm wrong, but it seems like a closed vibraty thing like a loop or a string would use it's energy more effeciently than a bar on a glockenspiel with one loose end. The vibration energy of a string or loop bounces back into itself rather than just vibrating in space. |
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" just vibrating in space " |
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Ah yes, part of the niche interplanetary pornography series. |
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But that effect can also produce destructive
interference, or weird overtones. Now the hoops
are going to be relatively small for a given pitch, and
getting enough metal in them to sustain an audible
volume is going to be difficult. |
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I'm suggesting the circumference of the hoop would be the same as the length of the piano string it was replacing. Hang them in a series of concentric hoops with the minimum attachment you need to keep them from swinging around. |
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I think you'd get the same resonance characteristics as a string of the same length with regard to wave properties, harmonics, etc. Instead of the wave hitting a peg at the end of the string, changing phase and bouncing back, it would just hit the wave coming from the other side of the hoop, the far end of the point from where you struck it forming the first octive and do the same thing with regard to bouncing back, forming standing waves etc. |
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Interesting question. What's the difference between a string and a hoop? I'm not sure. Well, for starters the hoop would have to supply it's own tension whereas you pull the string on either side. But other than that, it seems like it would be the similar with regard to the way it rings when you hit it. |
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(mind wandering) I wonder if you could replace strings on a piano with wide strips of metal pulled taught to get a richer sound? Ehh, one dumb idea at a time. Plus, I should probably get back to work here and try to do something productive today. |
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Almost definitely not the same length for a given
pitch. Remember that tension affects frequency,
which is pitch, and piano wires are under a huge
amount of tension (seriously, if the harp fails, pianos
essentially implode). An unconstrained loop will be (I
believe) a much lower pitch for the same length. |
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If you took a closed hoop and pressurized it ... |
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//An unconstrained loop will be (I believe) a much lower pitch for the same length.// |
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Yea, I think you're right. |
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Wonder if you could do that post tension slab thing that they do with concrete. Not sure what the point would be though. |
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I do want to go find a metal hoop and hit it to compare with a string sometime. I'll put that on my bucket list in the "less than exciting" category. |
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//wider strips of metal pulled tight// |
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Like a bandsaw? Ben awhile since I played one of
those. |
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Yes the thing about strings is the tension; the wave is propagated along the string by the elastic stretching of the string resisting sideways deformation. An ideal string is totally flexible so there is no stiffness and no bending forces, only elastic tension. This is the complete opposite to a hoop, tube or bar, where there is no tension, and which vibrates purely from its stiffness. |
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So you could make your loop of piano wire but to tension it you need to have it magnetically levitated and spun at a ferocious RPM, so it becomes tensioned by centriputal force. Then how do you excite it without deforming it too much? A very fast hammer? The hammer usually bounces off the string... might work. Perhaps the hammer needs to move on a trajectory so that it is moving tangentially at the same speed as the wire. |
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Also how do you get the sound out? Vibrating strings themselves do not make much sound, because they displace little air. Think of an electric guitar played unplugged. Usually you attach one end to a wooden box or sheet which is excited by the string and which moves the air. Or you can have electric pickups, but they would have to be spinning at the same speed as the wire as well. |
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So each string has an enclosure that spins at ferocious RPM, the enclosure containing the levitating magnets, the pickup and the hammer. |
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I presume the string is rotated by eddy currents? Not sure how that works? How does the eddy and the levitating magnets interfere with electric pickups? Perhaps an optical pickup which shines a laser onto the string to detect its vibrations? |
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So you could raise and lower the pitch by increasing and decreasing the RPM of the spinning lasso string deal. Clever. |
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//f you close off the top, it becomes a carillon. |
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With an animal, when you do that, it becomes carrion. Strange that. |
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But anyway, yes this could work, but it looks like some kind of duplication, If you really wanted to tension a wire, best to stick a weight on the end and spin it, suggest hammer/wire/hammer/wire configuration. |
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Sounds similar to the design of electric pianos from several decades ago, which used metal tines. |
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Ahh, it's a sign of the tines. |
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Now, to simulate an early electric piano, you'd use a
reverse Fourier transform. Ah, it's a sine of the tines. |
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//This is essentially a keyed glockenspiel// - otherwise known as a 'celesta'. |
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[spidermother] that paper addresses stiff rings, rather than tensioned flexible loops? I presume they behave rather differently (as tensioned strings and stiff bars do)? |
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My question is how much can you ape the qualities of a string under tension by bending a cast metal wire. I know it would by necessity be thicker than a piano string, but when you bend it you'd be putting tension on it, like when you bow a saw and flex it to raise the pitch. |
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I'm wondering if you can do the post tension slab thing where you have a string in a string, the inside string being pulled very tight and kept in place by the outside part. If you had this thing under enough tension you might get the sustain qualities of a piano string. Glocks and carollions have very short sustain times, they just "chime", and in fact sound like somebody playing a bunch of doorbells. A piano can go on for a long time like the end of "A Day In The Life" by the Beatles. |
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Anyway, can you have the convenience and portability of a glockenspiel or celesta with the sustain of a piano? So the party's getting dull, you pull out your Remumax 9000 piano, everybody says "Look out! He's got a glockenspiel!" then you say "Uh uh! It's a piano!" |
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Women will want you, men will want to BE you. |
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//how much can you ape the qualities of a string under tension by bending a cast metal wire// Not very much - some of us have been chattering away up above about how these two things behave differently. We can carry on down below if you really want. |
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//Women will want you, men will want to BE you//
What about those of us to whom this already applies, what further effect will your confused invention have? |
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Missed the idea of putting tension on the wire with a core that's pulled taught. Not sure if it would work but that was the latest concept. |
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As for your having reached the saturation point of desirability, I'm afraid there's probably not much you could gain from a miniature piano. |
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[Insert 12-inch pianist joke] |
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[pocmloc] //that paper addresses stiff rings,
rather than tensioned flexible loops?// |
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I thought stiff rings was precisely what the idea
proposed. As discussed above, a ring shape can
only be maintained by stiffness, or by applying a
force to create tension (e.g. by spinning). |
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It might indeed be possible to create harmonic
overtones in rings, using sophisticated materials
and manufacturing. After all, the first harmonic
bell-shaped bells were only made a decade or so
ago. |
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Anyway, (1) pianos aren't quite harmonic in the
first place (because the strings are relatively
thick), and (2) What's the obsession with pianos,
and the need to copy them? A good digital piano
will sound much closer to a real piano than any
mechanical simulade, whereas a bunch of rings
struck by hammers would be a fun thing in its own
right. |
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