Odd limit

The q odd limit, where q is an odd positive integer, consists of everything of the form 2^i*u/v, or [math]\displaystyle{ 2^\mathbb Z\frac u v }[/math], where u and v are odd positive integers less than or equal to q. It may be identified with the q-limit diamond.

Examples

some ratios in the 9-limit are: 3/2, 5/4, 7/6, 10/7, 12/7, 9/8, 14/9,

but not 11/9 (11 is a prime greater than 9) nor 15/7 (since 15 is 3*5, both less then 9, but with product greater than 9)

See also

• p-limit - or prime harmonic limit
• 1-odd-limit
• 3-odd-limit
• 5-odd-limit
• 7-odd-limit
• 9-odd-limit
• 11-odd-limit
• 13-odd-limit
• 15-odd-limit
• Limit (music) - Wikipedia, the free encyclopedia (covers also the distinction between odd-limit and prime-limit)