RE: TUNING digest 1225

Paul Fly wrote,

>Also, I'm interested in learning more, but need a primer on the
>mathematical aspects (ie, what is "5-limit" exactly, etc), any
>suggestions?

I think it is fair to say that Harry Partch's _Genesis of a Music_, for
all its inconsistencies, forms a common grounding for a great many of us
on this list in our discussions. By the way, I intend to model Partch's
"one-footed bride" with a sort of octave-equivalent harmonic entropy
function; that is, rather than using a Farey series (or a series such as
used by Mann where the sum of numerator and denominator does not exceed
a certain limit), using instead the ratios up to a given Partch limit
("odd limit", that is, the largest odd factor of either the numerator or
denominator does not exceed a certain limit). Instead of letting the
order of the Farey series approach infinity, I will let the odd limit
approach infinity, and I expect that for some realistic assumption about
pitch resolution, the one-footed bride will emerge.


SMTPOriginator: tuning@eartha.mills.edu
From: "Paul H. Erlich"
Subject: RE: Erlich's Theory
PostedDate: 03-11-97 20:43:54
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