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A Collatz cycle scale

🔗Gene Ward Smith <gwsmith@svpal.org>

8/26/2005 4:06:31 PM

Collatz sequences can cycle when started from negative integers; I
don't know what the conditions are, perhaps Jeff Lagarias does. I
can't find any 12 note scales, but starting from -17 gives a 7 note
scale. It's CS,
and strictly proper, and might be fun for someone to play with who
wants a variant of 7-equal.

! coll7.scl
Seven note Collatz cycle scale, -17 starting point
7
!
37/34
41/34
91/68
25/17
55/34
61/34
2