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.

~~Below is a plot of the Z function around 30:~~

~~[[File:plot30.png|alt=plot30.png|plot30.png]]~~

== Intervals ==

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| C#, D

|}

== JI approximation ==

=== Zeta function ===

Below is a plot of the Z function around 30:

[[File:plot30.png|alt=plot30.png|plot30.png]]

== Rank-2 temperaments ==

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* [https://youtu.be/tAxEetp1TaE No.27.62] by [https://www.youtube.com/@Micronaive Micronaive]

~~[[Category:Equal divisions of the octave|##]] ~~

[[Category:Pelogic]]

~~[[Category:Zeta]]~~

{{Todo

@@ Line 8: / Line 8: @@
 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.
-Below is a plot of the Z function around 30:
-[[File:plot30.png|alt=plot30.png|plot30.png]]
 == Intervals ==
@@ Line 206: / Line 202: @@
 | C#, D
 |}
+== JI approximation ==
+=== Zeta function ===
+Below is a plot of the Z function around 30:
+[[File:plot30.png|alt=plot30.png|plot30.png]]
 == Rank-2 temperaments ==
@@ Line 398: / Line 400: @@
 * [https://youtu.be/tAxEetp1TaE No.27.62] by [https://www.youtube.com/@Micronaive Micronaive]
-[[Category:Equal divisions of the octave|##]] <!-- 2-digit number -->
 [[Category:Pelogic]]
-[[Category:Zeta]]
 {{Todo