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RE: [tuning] re: Bizarre periodicity blocks found in 5 dimensions

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

4/24/2000 12:09:51 PM

>>Instead of being an approximation of 20-tET, it's an double approximation
of
>>10-tET with 539:540 and 880:881 pairs.

>Paul, could you explain what you mean by "539:540 and 880:881 pairs" here?
>Are you saying you found a 20-tone periodicity block that can be viewed as
two
>smaller blocks connected by some sort of meta unison vectors?

I just meant that of the pairs of notes associated with each 10-tET degree,
five were 539:540 apart, and five were 881:880 apart.

>Do I understand you to imply that there are a number of different smaller
>blocks (each approximating 10-tet) that could be used here, which, taken
all
>together, outline a single 7-D block?

No. There are only 5 dimensions in 13-limit tuning.