2023edo: Difference between revisions

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 {{Infobox ET}}
-{{EDO intro|2023}}
+{{ED intro}}
 == Theory ==
-{{Harmonics in equal|2023}}
+edo is [[enfactoring|enfactored]] in the 5-limit, with the same mapping and commas as [[289edo]].
-edo is enfactored in the 5-limit, with the same mapping as [[289edo]].
-In the 17-limit on the patent val, it is a tuning for the [[leaves]] temperament. It is also period-17, and maps the period to 25/24, which means [[septendecima]] is also tempered out.
 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}}
-The divisors of 2023 are {{EDOs|1, 7, 17, 119, 289}}. It factors as 7 * 17<sup>2</sup>.
+=== Subsets and supersets ===
+Since 2023 factors as {{factorization|2023}}, 2023edo has subset edos {{EDOs| 7, 17, 119, and 289 }}.
-== Regular temperament properties ==
+=== Other uses ===
+edo also supports a high badness 323 & 2023 temperament, which [[Eliora]] designated as [[User:Eliora/Leaves|leaves]].
-=== Rank-2 temperaments ===
-Note: 5-limit temperaments represented by 289edo are not included.
-{| class="wikitable center-all left-4"
-!Periods
-per 8ve
-!Generator
-(Reduced)
-!Cents
-(Reduced)
-!Associated
-Ratio
-!Temperament
-|-
-|17
-|144\2023
-(25\2023)
-|85.417
-(14.829)
-|1024/975
-(?)
-|[[Leaves]]
-|}
 == Music ==
+; [[Eliora]]
+* [https://www.youtube.com/watch?v=8K2RYO_oCnM ''Bagatelle in 11/8♭ Leaves''] (2023)
-* [https://www.youtube.com/watch?v=8K2RYO_oCnM Bagatelle in 11/8♭ Leaves, (Op. 2, No. 2)] by [[Eliora]]
+[[Category:Listen]]
-[[Category:Equal divisions of the octave|####]]<!-- 4-digit number -->
-[[Category:Quartismic]]