Generator of 643:430

Hello, there, everyone, and you might find it fun to try a rational
tuning with a generator of 643:430.

For a "near-JI" system in the meaning of some "perceptibly just"
ratios, try two chains of 643:430 generators at a 645:643 apart.

Does this remind anyone of a certain type of "n-limit JI system"
often discussed here (not necessarily a "classic" one, but an
historical one)?

Most appreciatively,

Margo Schulter
mschulter@value.net

--- In tuning@y..., mschulter <MSCHULTER@V...> wrote:

> For a "near-JI" system in the meaning of some "perceptibly just"
> ratios, try two chains of 643:430 generators at a 645:643 apart.

I'm not sure I believe in the 643-limit. I'm not sure even Jacky is
ready for that, in fact. I *am* willing to believe in two 1/4 comma
meantone scales a quarter comma apart, and am willing to put up with
a difference of 1/14884th of a cent.

Hello, there, Gene Ward Smith, and congratulations on very quickly
getting the point of my generator of 643:430.

Strictly speaking, I would say that we can make a prime-limit or
odd-limit as high as we like, although both the restricted nature of
the range of audible frequencies and the question of aural
distinctness may make lots of rational and irrational systems closely
synonymous in practice.

Most appreciatively,

Margo Schulter
mschulter@value.net