147edo: Difference between revisions

Link to the 41 & 106 temp; sectioning; style
Note its accurate fifth and misc. cleanup
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== Theory ==
== Theory ==
147edo [[tempering out|tempers out]] [[32805/32768]] in the [[5-limit]]; [[225/224]] and [[3125/3087]] in the [[7-limit]]; [[243/242]] in the [[11-limit]]; [[364/363]] in the [[13-limit]]; [[442/441]] and [[595/594]] in the [[17-limit]]. It is the [[optimal patent val]] for 11-limit [[karadeniz]], the 41 & 106 temperament.
147edo has a very accurate fifth. Using the [[patent val]], the equal temperament [[tempering out|tempers out]] [[32805/32768]] in the [[5-limit]]; [[225/224]] and [[3125/3087]] in the [[7-limit]]; [[243/242]] in the [[11-limit]]; [[364/363]] in the [[13-limit]]; [[442/441]] and [[595/594]] in the [[17-limit]]. It is the [[optimal patent val]] for 11-limit [[karadeniz]], the 41 & 106 temperament.


=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|147|columns=11}}
{{Harmonics in equal|147}}


=== Miscellaneous properties ===
=== Subsets and supersets ===
Since 147 = 3 × 7<sup>2</sup>, 147edo has subset edos {{EDOs| 3, 7, 21 and 49 }}.
Since 147 = 3 × 7<sup>2</sup>, 147edo has subset edos {{EDOs| 3, 7, 21 and 49 }}.


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* [[Baldy17]]
* [[Baldy17]]


[[Category:147edo| ]] <!-- main arcticle -->
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
[[Category:Baldy]]
[[Category:Baldy]]