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14 note JI scales (was: RE: [tuning] Re: naughty and nice [12 not e scales])

🔗Paul H. Erlich <PERLICH@ACADIAN-ASSET.COM>

6/21/2000 2:54:09 PM

I wrote,

>For 7-limit, have a look at these:

> 4 -1 -4
> 0 -2 -3
> 2 -1 -3
> 1 -1 -2
> 3 0 -2
> -1 -1 -1
> 2 0 -1
> -2 -1 0
> 0 0 0
> 3 1 0
> -1 0 1
> 1 1 1
> -3 0 2
> -2 1 3

and

> -3 3 -3
> 1 1 -2
> -2 2 -2
> 2 0 -1
> -1 1 -1
> 3 -1 0
> 0 0 0
> -3 1 0
> 4 -2 1
> 1 -1 1
> -2 0 1
> 2 -2 2
> -1 -1 2
> 3 -3 3

>where the first column is the power of 3, the second column is the power of
>5, and the third column is the power of 7.

In sorted cents values, these scales are

0
92.179
168.21
266.87
342.91
435.08
511.12
609.78
688.88
777.99
857.09
946.2
1031.8
1120.9

and

0
84.467
168.93
253.4
350.62
435.08
519.55
604.02
680.45
764.92
849.38
946.6
1031.1
1115.5

respectively.

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🔗Zhang2323@aol.com

6/22/2000 2:44:41 PM

I have a large custom-made metallophone (made by Richard Cooke,
FreeNotes) that is in a 14 note JI scale:

1:1
21:20
7:6
32:25
21:16
11:8
7:5
3:2
13:8
12:7
7:4
16:9
9:5
2:1

zHANg