I’m not going to pretend I followed much of the math or music theory stuff in there, but I do have and love my 16x18”. That being said If your hoping to emulate timpani sounds I think you’ll be dissapointed, the response will be far more in line with a bass drum or tom. If you want to fake a timpani vibe maybe try out a bigger timbaleThanks for all of the thoughtful replies. I'm mostly trying to talk myself out of buying a 16" (depth) x 18" (diameter) that I don't need. I mostly want it to emulate a timpani and/or pow wow type sound with the timpani mallets. I already have a 13x14 and a 14x16 and I like them both and they're basically good enough for this purpose.
I would like to be able to tune them to either a perfect fourth apart or a tri-tone apart. The two that I have sit comfortably closer to a major third apart; if I tune the big one low and the small one high, I can get a perfect fourth, but not quite a tri-tone. I'm hoping that the 16x18 and 14x16 would sit right between a perfect fourth and a tri-tone, since the ratio between the volumes is bigger than the ratio between the volumes of the 13x14 and 14x16 (1.446 versus 1.306). It's the volume of the bigger one divided by the volume of the smaller one that I'm talking about.
I sort of wish I had gotten a 16x16 instead of 14x16, and that would probably tune with the 13x14 the way I want it (a volume ratio of 1.493); also, many people seem to agree that 16x16 is the most standard and/or versatile. But, now I also just want the bigger deeper boom of the 16x18 and hope that the volume ratio is big enough between it and the 14x16. Then, I might try mounting the 13x14 as a rack tom.
I know this is very cerebral and totally a 'first world problem', especially considering that I'm not even gigging on drum set right now. I did use them with timpani mallets for drum rolls to introduce my piano students for my recent piano recital, of course while wearing a wolfman mask. I appreciate any input. Thanks.
Yes, 15" floors are available on custom Ludwig Classic Maple, and Legacy Maple.I think Ludwig makes, or made, a 15” floor tom.