The Mudcat Café TM
Thread #137393   Message #3146089
Posted By: Jack Campin
01-May-11 - 07:57 PM
Thread Name: Easy way to draw a circle of 5ths
Subject: RE: Easy way to draw a circle of 5ths
The point is that the ET circle of fifths relates to other temperaments, and in fact the only use for a precise construction is if you're going to calculate such comparisons. So it is perfectly reasonable to be interested in both at once. (As I pointed out in my first post in this thread - that boxwood slide rule dated from the 1880s and there are tables equivalent to it in Helmholtz's book, this is not a new idea).

There is no such thing as a "modal tuning". I presume "twelve fifths tuning" is a subliterate description of Pythagorean intonation.

Just intonation has lots of well-established uses in folk idioms worldwide. The commonest musical instrument in the world uses just intervals.