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RE: [tuning] Re: Paul Erlich's terrific ET chart

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

8/24/2000 3:18:01 PM

>What surprised me, though, was the satisfactory results for 26, 27
>and 29. Have many people discussed these temperaments?? What am I
>missing??

I've discussed 26, which has the amazing property that when you take two
diatonic scales a half-octave apart, each scale can have all six of its
complete 5-limit triads completed into a 7-limit tetrad using one note from
the other scale!!! This would be a superb basis for a composition;
unfortunately, 14 or 26 tones are hard to map onto a keyboard. If I had two
keyboards, though, I'd be golden . . .

🔗Kraig Grady <kraiggrady@anaphoria.com>

8/24/2000 4:12:00 PM

Dear Paul H. Erlich;
You might find the 3/8 keyboard at http://www.anaphoria.com/key.html would work well for
many 14 tone scales and for the 26 we would first try the 3/7 keyboard. Just continue the
series until you have 14 and 26 notes respectfully.

"Paul H. Erlich" wrote: This would be a superb basis for a composition;

> unfortunately, 14 or 26 tones are hard to map onto a keyboard.

-- Kraig Grady
North American Embassy of Anaphoria island
www.anaphoria.com

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

8/25/2000 10:42:05 AM

Kraig Grady (or Banashphu?) wrote,

>You might find the 3/8 keyboard at http://www.anaphoria.com/key.html
<http://www.anaphoria.com/key.html> would work well for many 14 tone
scales and for the 26 >we would first try the 3/7 keyboard. Just continue
the series until you have 14 and 26 notes respectfully.

Perhaps the 26, yes. Unfortunately, the 14 doesn't conform to the logic of
the scale I mentioned (two interlocking diatonic scales), since rather than
14 consecutive notes in a chain of fifths, it's two disjoint sets of 7
consecutive notes, much like my decatonic scales in 22 are two disjoint sets
of 5 consecutive notes.