Topic: A Collatz cycle scale

1 scales

File Description Notes Period (ยข) Limit
coll7 Seven note Collatz cycle scale, -17 starting point 7 1200.0 61

Thread (1 messages)

From: Gene Ward Smith (2005-08-26)
Subject: A Collatz cycle scale

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