30edo: Difference between revisions
→Theory: + ''See regular temperament for more about what all this means and how to use it.'' |
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=== Harmonics === | === Harmonics === | ||
{{Harmonics in equal|30}} | {{Harmonics in equal|30}} | ||
[[File:Plot30.png|alt=plot30.png|thumb|A plot of the Z function around 30.]] | |||
=== RTT === | === RTT === | ||
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Its [[patent val]] is a doubled version of the patent val for [[15edo]] through the 11-limit, so 30 can be viewed as a [[contorted]] version of 15. In the 13-limit it supplies the optimal patent val for [[quindecic]] temperament. | Its [[patent val]] is a doubled version of the patent val for [[15edo]] through the 11-limit, so 30 can be viewed as a [[contorted]] version of 15. In the 13-limit it supplies the optimal patent val for [[quindecic]] temperament. | ||
However, 5\30 is 200{{c}}, 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. | However, 5\30 is 200{{c}}, 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. | ||