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reply to bram

🔗"Paul H. Erlich" <PErlich@...>

12/4/1998 12:20:39 PM
Bram wrote,

>I have an idea.

>Consider the following 13-tone tuning, which I have split into two
>diagrams, each of which is missing some notes:


> 5:4---------5:3
> / \'-. .-'/ \
> / \ 7:4 / \
> / \ /|\ / \
> / X | X \
> / / \|/ \ \
> 4:3------/--1:1--\------3:2
> \'-. /.-'/ \'-.\ .-'/
> \ 7:5---------7:6 /
> \ | / \ | /
> \ | / \ | /
> \|/ \|/
> 6:5---------8:5


> 5:4---------5:3
> /|\ /|\
> / | \ / | \
> / | \ / | \
> / 10:7--\---/--7:6 \
> /.-' \'-.\ /.-'/ '-.\
> 4:3---------1:1---------3:2
> \ \ /|\ / /
> \ X | X /
> \ / \|/ \ /
> \ / 8:7 \ /
> \ /.-' '-.\ /
> 6:5---------8:5

This 13-note tuning is a 7-limit tonality diamond, using Harry Partch's
terminology (which is pretty standard around here). It is al the tones
within the 7-odd-limit from 1/1. Partch never depicted it in this way,
though; Erv Wilson may have been the first, though I did it
independently of him.