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58-tET and 68-tET "bikes"

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

4/25/2001 1:27:10 PM

Like 72-tET, 58-tET and 68-tET can be thought of as polypythagorean "bikes".

In 58-tET (15-limit consistent), 29-tET acts as the Pythagorean chain. There
are two such chains. Factors of 5, 7, 11, or 13 take you from one chain to
the other.

In 68-tET (9-limit consistent), 17-tET acts as the Pythagorean chain. There
are four such chains. Two equidistant ones give you 34-tET, which is 5-limit
consistent, and factors of 7 give you the intervening two chains.