Mckyyy's LCMs

Mckyyy said:
> There are many ways to arrive at the "most consonant" just
> intervals. The following is the output of a program that
> approaches that subject from the perspective of least common
> multiple. As most of you must know by now, I favor this as a
> measure because it correlates with a physical property of the
> composite sound, i. e. the length of the pattern. Also, the
> concept is independent of "limits" as in 5-limit, 7-limit, etc.

I vaguely recall something in Mersenne to this effect, back in the 17th
century; Euler used this principle also, I think, but maybe in a
different context. It certainly is one of the traditional methods of
evaluating consonance. It definitely has problems though, but perhaps
not insuperable problems. For example, 9:2 is certainly not consonant,
even though the product of its ratio members is less than that of 5:4
for example. But probably my comments are nothing new to you. I tried to
use this once, but could never reconcile my ears with the resulting
numbers. But there may be a way.


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