324edo: Difference between revisions
324edo |
Cleanup and +subsets and supersets |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|324}} | {{EDO intro|324}} | ||
324edo is in[[consistent]] to the [[5-odd-limit]] and [[harmonic]] [[3/1|3]] is about halfway between its steps, making it a [[dual-fifth system]], with the flat fifth being the 700-cent fifth coming from 12edo, and the sharp fifth coming from 162edo. | |||
324edo is a dual-fifth system, with the flat fifth being the 700 cent fifth coming from 12edo, and the sharp fifth coming from 162edo. | |||
It is an excellent 2.9.11.13 | It is nonetheless an excellent 2.9.15.21.11.13 [[subgroup]] tuning. | ||
=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|324}} | {{Harmonics in equal|324}} | ||
=== Subsets and supersets === | |||
Since 324 factors into {{factorization|324}}, 324edo has subset edos {{EDOs| 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, and 162 }}. [[648edo]], which doubles it, gives a possible correction to its harmonic 3. | |||