Re: [tuning] Re: Prime factorization and maqams

Splendid Gene, now suppose I want to temper out 4000:3993, what is the procedure to follow?

Cordially,
Ozan
----- Original Message -----
From: Gene Ward Smith
To: tuning@yahoogroups.com
Sent: 06 Mart 2005 Pazar 20:02
Subject: [tuning] Re: Prime factorization and maqams

--- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@s...> wrote:

> It takes a little algebra to find the generators, which is why I
> copied them from Gene's post :) But as you can see, I verified that
> these generators do satisfy the condition that 4000:3993 be tempered
> out . . . and it seems, from the below, that you may now understand
> this verification -- but let me know if I need to clarify further.

> But that is the crux of the issue! I want to know how to find the
generators, so that I can manage to temper any interval I choose after
that.

You might go over to tuning-math, give an example of what you want to
find generators for, and we could take it from there. In general,
however, finding generators depends on how you want to optimize--you
define what you mean by "best", and then calculate the tuning which is
"best" in that sense.