2023edo: Difference between revisions

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 {{Infobox ET}}
-{{EDO intro|2023}}
+{{ED intro}}
 == Theory ==
+edo is [[enfactoring|enfactored]] in the 5-limit, with the same mapping and commas as [[289edo]].
+If we impose a stricter harmonic approach, and require all errors to be below 25%, the subgroup consisting of first 7 such harmonics for 2023edo is 2.13.17.23.47.61.71.
+In the 2023e val, it supports the altierran rank-3 temperament tempering out the [[schisma]] and the [[quartisma]].
+=== Prime harmonics ===
 {{Harmonics in equal|2023}}
-First 7 primes with less than 1 standard deviation error in 2023edo are: 2, 13, 17, 23, 47, 61, 71.
-In the 2023e val, it supports the altierran rank-3 temperament tempering out the [[schisma]] and the [[quartisma]].
+=== Subsets and supersets ===
+Since 2023 factors as {{factorization|2023}}, 2023edo has subset edos {{EDOs| 7, 17, 119, and 289 }}.
+=== Other uses ===
+edo also supports a high badness 323 & 2023 temperament, which [[Eliora]] designated as [[User:Eliora/Leaves|leaves]].
-The divisors of 2023 are {{EDOs|1, 7, 17, 119, 289}}. It factors as 7 * 17<sup>2</sup>.
+== Music ==
+; [[Eliora]]
+* [https://www.youtube.com/watch?v=8K2RYO_oCnM ''Bagatelle in 11/8♭ Leaves''] (2023)
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+[[Category:Listen]]
-[[Category:Quartismic]]