h a l f b a k e r y
Not so much a thought experiment as a single neuron misfire.
add, search, annotate, link, view, overview, recent, by name, random
news, help, about, links, report a problem
or get an account
one soundbox, with the strings stretched beetween it.
The soundbox of this harp is a long thin wooden torus, formed into a figure 8 and folded back on itself.
Then a series of strings can be stretched between adjacent sections of the box, so that their plane forms a Möbius strip.
Classified as a harp not a zither because the strings are perpendicular
to the wooden surface they attach to, not parallel. And because attaching both ends of a string to the same soundboard on a zither is trivial.
You could reinforce this thing with struts and braces but I would prefer the soundbox to be self-supporting.
Not sure where the tuning keys would fit...
(?) Möbius planetary gears
Just found this - if you replace the blue and white gears with strings, this kind of shows the geometry of my instrument. [pocmloc, Apr 02 2011, last modified Apr 03 2011]
Top view, side view, front view. [pocmloc, Apr 04 2011]
Chorus or Sambuca
A Renaissance fantasy biblical wind instrument, could be the basis of a Klein bottle horn? [pocmloc, Apr 05 2011]
||Love it! I wonder whether the standing wave in a
Möbius shaped soundbox would form a deeper
resonance than one in an equally sized non-Möbius
||Well, [zt], unless I am misremembering youthful experiments with paper, tape and scissors, the soundbox of this device would not be a Möbius strip, it would be a double length strip / rod with two twists. i.e. if in cross section we make it D section, with the flat part of the D the soundbox and the curved part the laminated back, then it would just twist twice as it curled around?
||If we can figure out how to turn a Klein Bottle into some
kind of wind intsrument, we'll have the makings of a pretty
decent quantum band...
||The Klein bottle could be an ocarina, but only if the mouthpiece were constricted enough to blow into - taking away some of its Kleininess.
||The sphericon could be made of sheet metal and with a small pebble inside, as a kind of rattling bell.
||Love the sketch.