This reminds me of a tongue drum I have. Have you thought about building an iterative solver for specific scales?

It would be interesting if you could simulate and then print (or laser cut) your own instrument on demand.

Those ads are nasty and really take away from the cool stuff you build!

I just entertained myself with this for 30 minutes.

Can you do this for a didgeridoo?

This is very cool stuff, indeed!

I didn’t get any sound on an iPhone either

there's an amazing video on youtube about how metal bar/gong instruments (like gamelans) have different overtones, and regular western intervals instead of being consonant (like with vibrating strings) are dissonant - even perfect 5ths - and a totally different set of intervals are consonant (slendro and pelog tunings are a bit different for this reason).

thinking about it, each drum here would have totally different ideal scales to the others.

this is cool.

Selecting different materials would not change much. Call the frequencies \lambda_1, \lambda_2, \lambda_3...

You can prove that changing the material has no effect on the relative frequencies: \lambda_2 / \lambda_1, \lambda_3 / \lambda_1, etc. are completely independent of the material.

The shape is the determining factor; changing the materials (and hence the wave speed) just dilates the whole spectrum.

There's actually a "ring-out" slider and a "mallet" width slider under the drum already.

Ring out controls how fast the higher modes decay (basically stiff vs soft material), The mallet width controls how many modes a strike can even reach, since a real mallet can't drive the high frequency ones very hard.

No labeled presets like "wood" or "metal" though, just raw sliders. Would be a fun addition if someone wants to map a few physically sensible combos to buttons. PRs Welcome!