User:Francium/4243edo: Difference between revisions

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== Theory ==

4243edo is [[consistent]] to the [[9-odd-limit]], [[tempering out]] [[78125000/78121827]], {{monzo|46 -14 -3 -6}} and {{monzo|-14 26 4 -13}} in the [[7-limit]]. Its [[harmonic]] [[3/1|3]] has a remarkably low relative error of 0.4 percent. As an equal temperament, 4243edo is strong in the 2.3.5.13.17.19 [[subgroup]], tempering out 104976/104975, 28900/28899, 19922944/19921875, 8450649/8450000 and 18051780123/18050000000. It also tempers out the [[lakisma]] in the ~~full [[~~19~~-limit]]~~ and [[7956/7955]] in the 2.3.5.13.17.37.43 subgroup. 4243edo [[support]]s [[whoosh]].

4243edo is [[consistent]] to the [[9-odd-limit]], [[tempering out]] [[78125000/78121827]], {{monzo|46 -14 -3 -6}} and {{monzo|-14 26 4 -13}} in the [[7-limit]]. Its [[harmonic]] [[3/1|3]] has a remarkably low relative error of 0.4 percent. As an equal temperament, 4243edo is strong in the 2.3.5.13.17.19 [[subgroup]], tempering out 104976/104975, 28900/28899, 19922944/19921875, 8450649/8450000 and 18051780123/18050000000. It also tempers out the [[lakisma]] in the 2.3.5.17.19 subgroup and [[7956/7955]] in the 2.3.5.13.17.37.43 subgroup. 4243edo [[support]]s [[whoosh]].

=== Prime harmonics ===

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<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct

== Music ==

; "you ABSOLUTE GRAPE!!" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/18b08eK8l9HF1SrLozKCLr Spotify] | [https://francium223.bandcamp.com/track/you-absolute-grape Bandcamp] | [https://www.youtube.com/watch?v=CyfAURQlWrs YouTube]

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-{{Infobox ET}}
+{{Infobox ET|debug=1}}
 {{ED intro}}
 == Theory ==
-edo is [[consistent]] to the [[9-odd-limit]], [[tempering out]] [[78125000/78121827]], {{monzo|46 -14 -3 -6}} and {{monzo|-14 26 4 -13}} in the [[7-limit]]. Its [[harmonic]] [[3/1|3]] has a remarkably low relative error of 0.4 percent. As an equal temperament, 4243edo is strong in the 2.3.5.13.17.19 [[subgroup]], tempering out 104976/104975, 28900/28899, 19922944/19921875, 8450649/8450000 and 18051780123/18050000000. It also tempers out the [[lakisma]] in the full [[19-limit]] and [[7956/7955]] in the 2.3.5.13.17.37.43 subgroup. 4243edo [[support]]s [[whoosh]].
+edo is [[consistent]] to the [[9-odd-limit]], [[tempering out]] [[78125000/78121827]], {{monzo|46 -14 -3 -6}} and {{monzo|-14 26 4 -13}} in the [[7-limit]]. Its [[harmonic]] [[3/1|3]] has a remarkably low relative error of 0.4 percent. As an equal temperament, 4243edo is strong in the 2.3.5.13.17.19 [[subgroup]], tempering out 104976/104975, 28900/28899, 19922944/19921875, 8450649/8450000 and 18051780123/18050000000. It also tempers out the [[lakisma]] in the 2.3.5.17.19 subgroup and [[7956/7955]] in the 2.3.5.13.17.37.43 subgroup. 4243edo [[support]]s [[whoosh]].
 === Prime harmonics ===
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 |}
 <nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
+== Music ==
+; "you ABSOLUTE GRAPE!!" from ''Things to Scream at People'' (2025) – [https://open.spotify.com/track/18b08eK8l9HF1SrLozKCLr Spotify] | [https://francium223.bandcamp.com/track/you-absolute-grape Bandcamp] | [https://www.youtube.com/watch?v=CyfAURQlWrs YouTube]