42edo: Difference between revisions
→Music: Bryan Deister's ''A Hunger Awakes'' (2026): Have both short (Lumatone view) and full (music video) versions; ''Waltz in 42edo'' (2026): Fix formatting to be consistent with the above |
→Theory: →Subsets and supersets: Add 84edo as superset. |
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 42 factors into {{factorization|42}}, 42edo contains subset edos {{EDOs| 2, 3, 6, 7, 14, and 21 }}. | Since 42 factors into {{factorization|42}}, 42edo contains subset edos {{EDOs| 2, 3, 6, 7, 14, and 21 }}. Doubling it produces [[84edo]], which has excellent corrections for the 3rd, 5th, 13th, and 19th harmonics, as well as a partial correction to the 17th harmonic. | ||
== Intervals == | == Intervals == | ||
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; [[Stephen Weigel]] | ; [[Stephen Weigel]] | ||
* [https://www.youtube.com/watch?v=tLmaQK10aYM ''Ĥ̶̩̠̐Ä̶̝͙́̓Ȑ̸̢͒K̷̥̩͌͑!̵̙͆̄ THE BIBLICALLY ACCURATE ANGELS SING!''] (2025; mostly in 42edo, but also some in 40edo) | * [https://www.youtube.com/watch?v=tLmaQK10aYM ''Ĥ̶̩̠̐Ä̶̝͙́̓Ȑ̸̢͒K̷̥̩͌͑!̵̙͆̄ THE BIBLICALLY ACCURATE ANGELS SING!''] (2025; mostly in 42edo, but also some in 40edo) | ||
** [https://www.youtube.com/watch?v=NE77rwCsGHw live performance of the above in Munich, Germany] (2026) | |||
[[Category:Augmented]] | [[Category:Augmented]] | ||
{{Todo|review|add rank 2 temperaments table}} | {{Todo|review|add rank 2 temperaments table}} | ||