Address correction

I apologize. I obviously belong to those who don't even know their own
address. In my case it should read:

Heinz Bohlen
1200 Dale Avenue, #109
Mountain View, CA 94040

And yes, this is California, USA.

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Ah, so there _are_ perfect fifths!


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When I visited Johnny last weekend, he played me some very beautiful music
his wife had composed and the couple had performed together. He couldn't
tell me offhand what the tuning was, except that it used the number 13
predominantly.

Let me assume that the scales Mayumi used were entirely built on cycles of
13:8 plus all octave equivalents. There would be no 13:6's or any prime
numbers besides 2 and 13, and thus no possible perfect fifths. A cycle of
seven 13:8s would produce the scale

0 121.6 359.5 481.1 718.9 840.5 962.1 (1200)

which resembles a neutral diatonic scale and has quite a few usable
harmonies, unlike a cycle of seven 11:8s

0 97.4 454.0 551.3 648.7 1005.3 1102.6 (1200), (sounds like 13-tET)

seven 9:8s

0 203.9 407.8 611.7 792.2 815.6 996.1 (1200), (sounds like 6-tET)

seven 7:4s

0 231.2 275.3 462.3 506.5 737.7 968.8 (1200),


or seven 5:4s

0 345.3 386.3 427.4 772.6 813.7 1158.9 (1200).


Johnny, I wonder if this has anything to do with what you were saying about
the 13th harmonic at the Japanese restaurant. If so, I would decribe this as
a "number-theoretic fluke" (to quote Manfred Schroeder) rather than anything
intrinsic to the sound of 13:8 itself.


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