Re: [tuning-math] Re: ET's, unison vectors (and other equivalences)

----- Original Message -----
From: D.Stearns <STEARNS@CAPECOD.NET>
To: <tuning-math@yahoogroups.com>
Sent: Tuesday, June 26, 2001 5:27 PM
Subject: Re: [tuning-math] Re: ET's, unison vectors (and other equivalences)

> Hi Paul and everyone,
>
> You can also use the 2d lattice as a basic model for plotting
> coordinates other that 3 and 5.
>
> Earlier I gave the [4,3] 7-tone, neutral third scale as an example
> with the unison vectors 52/49

= 2^2 * 7^-2 * 13^1 = [ 2 0 0 -2 0 1]

> and 28672/28561.

= 2^12 * 7^1 * 13^-4 = [ 12 0 0 1 0 -4]

> This would be an example of plugging 13 and 7 into
> a 2D lattice space while retaining the diatonic matrix.

As cab be seen at a glance in either of the prime-factor notations.

-monz
http://www.monz.org
"All roads lead to n^0"

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