30edo: Difference between revisions

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However, 5\30 is 200 cents, which is a good (and familiar) approximation for 9/8, and hence 30edo can be viewed inconsistently, as having a 9/1 at 95\30 as well as 96\30. Instead of the 18\30 fifth of 720 cents, 30edo also makes available a 17\30 fifth of 680 cents. This is an ideal tuning for pelogic (5-limit mavila), which tempers out 135/128. When 30edo is used for pelogic, 5\30 can again be used inconsistently as a 9/8.

Being the smallest positive integer with three distinct prime factors, 30edo is the smallest EDO that supports [[perfectly balanced]] scales that are minimal and not equally spaced. See the article on perfect balance.

30edo is the smallest 5n-EDO that offers a workable alternative to the sharp 720-cent fifth, this being a flat 680-cent about equally far from just which can be used to generate an antidiatonic [[2L 5s]] scale.

== Intervals ==

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 However, 5\30 is 200 cents, which is a good (and familiar) approximation for 9/8, and hence 30edo can be viewed inconsistently, as having a 9/1 at 95\30 as well as 96\30. Instead of the 18\30 fifth of 720 cents, 30edo also makes available a 17\30 fifth of 680 cents. This is an ideal tuning for pelogic (5-limit mavila), which tempers out 135/128. When 30edo is used for pelogic, 5\30 can again be used inconsistently as a 9/8.
 Being the smallest positive integer with three distinct prime factors, 30edo is the smallest EDO that supports [[perfectly balanced]] scales that are minimal and not equally spaced. See the article on perfect balance.
+edo is the smallest 5n-EDO that offers a workable alternative to the sharp 720-cent fifth, this being a flat 680-cent about equally far from just which can be used to generate an antidiatonic [[2L 5s]] scale.
 == Intervals ==