373edo: Difference between revisions

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== Theory ==

373edo is [[consistency|distinctly consistent]] to the [[15-odd-limit]]. It has a flat tendency, with [[harmonic]]s 3 through 13 all tuned flat. It [[tempers out]] {{monzo| 8 14 -13 }} ([[parakleisma]]) and {{monzo| -51 19 9 }} (untriton comma) in the 5-limit; 2401/2400 ([[breedsma]]), 65625/65536 ([[horwell comma]]), and 43046721/42875000 in the 7-limit; [[3025/3024]], [[8019/8000]], 24057/24010, and 496125/495616 in the 11-limit; [[729/728]], [[1001/1000]], [[1716/1715]], [[4225/4224]], and [[10648/10647]] in the 13-limit, enabling [[squbemic chords]] and [[sinbadmic chords]]. It also [[support]]s the [[~~Breedsmic~~ temperaments #Hemitert|hemitert temperament]].

373edo is [[consistency|distinctly consistent]] to the [[15-odd-limit]]. It has a flat tendency, with [[harmonic]]s 3 through 13 all tuned flat. As an equal temperament, it [[tempering out|tempers out]] {{monzo| 8 14 -13 }} ([[parakleisma]]) and {{monzo| -51 19 9 }} (untriton comma) in the 5-limit; 2401/2400 ([[breedsma]]), 65625/65536 ([[horwell comma]]), and 43046721/42875000 in the 7-limit; [[3025/3024]], [[8019/8000]], 24057/24010, and 496125/495616 in the 11-limit; [[729/728]], [[1001/1000]], [[1716/1715]], [[4225/4224]], and [[10648/10647]] in the 13-limit, enabling [[squbemic chords]] and [[sinbadmic chords]]. It also [[support]]s the [[breedsmic temperaments #Hemitert|hemitert temperament]].

=== Prime harmonics ===

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=== Subsets and supersets ===

373edo is the 74th [[prime edo]].

== Intervals ==

== Regular temperament properties ==

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| [[Untriton]] (5-limit)

|}

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

<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct

== Music ==

; [[Francium]]

* "Hi-Vis Dog In An Outfit" from ''You Are A...'' (2024) – [https://open.spotify.com/track/3h2LS9jR54sxEh1cpy0olI Spotify] | [https://francium223.bandcamp.com/track/hi-vis-dog-in-an-outfit Bandcamp] | [https://www.youtube.com/watch?v=z4I6CeiHC1M YouTube]

* "ambatukum" from ''wiloliquy'' (2025) – [https://open.spotify.com/track/74FOCnuxR4G6rfoq5uIE6y Spotify] | [https://francium223.bandcamp.com/track/ambatukum Bandcamp] | [https://www.youtube.com/watch?v=utDi9XY25K0 YouTube]

* "Onion?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/0HNcOEhQBPqFZeZ9kvhI1N Spotify] | [https://francium223.bandcamp.com/track/onion Bandcamp] | [https://www.youtube.com/watch?v=zvRUCarYJLI YouTube]

[[Category:Listen]]

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 {{Infobox ET}}
-{{EDO intro|373}}
+{{ED intro}}
 == Theory ==
-edo is [[consistency|distinctly consistent]] to the [[15-odd-limit]]. It has a flat tendency, with [[harmonic]]s 3 through 13 all tuned flat. It [[tempers out]] {{monzo| 8 14 -13 }} ([[parakleisma]]) and {{monzo| -51 19 9 }} (untriton comma) in the 5-limit; 2401/2400 ([[breedsma]]), 65625/65536 ([[horwell comma]]), and 43046721/42875000 in the 7-limit; [[3025/3024]], [[8019/8000]], 24057/24010, and 496125/495616 in the 11-limit; [[729/728]], [[1001/1000]], [[1716/1715]], [[4225/4224]], and [[10648/10647]] in the 13-limit, enabling [[squbemic chords]] and [[sinbadmic chords]]. It also [[support]]s the [[Breedsmic temperaments #Hemitert|hemitert temperament]].
+edo is [[consistency|distinctly consistent]] to the [[15-odd-limit]]. It has a flat tendency, with [[harmonic]]s 3 through 13 all tuned flat. As an equal temperament, it [[tempering out|tempers out]] {{monzo| 8 14 -13 }} ([[parakleisma]]) and {{monzo| -51 19 9 }} (untriton comma) in the 5-limit; 2401/2400 ([[breedsma]]), 65625/65536 ([[horwell comma]]), and 43046721/42875000 in the 7-limit; [[3025/3024]], [[8019/8000]], 24057/24010, and 496125/495616 in the 11-limit; [[729/728]], [[1001/1000]], [[1716/1715]], [[4225/4224]], and [[10648/10647]] in the 13-limit, enabling [[squbemic chords]] and [[sinbadmic chords]]. It also [[support]]s the [[breedsmic temperaments #Hemitert|hemitert temperament]].
 === Prime harmonics ===
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 === Subsets and supersets ===
 edo is the 74th [[prime edo]].
+== Intervals ==
+{{Main|Table of 373edo intervals}}
 == Regular temperament properties ==
@@ Line 105: / Line 108: @@
 | [[Untriton]] (5-limit)
 |}
-<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
+<nowiki />* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct
 == Music ==
 ; [[Francium]]
 * "Hi-Vis Dog In An Outfit" from ''You Are A...'' (2024) – [https://open.spotify.com/track/3h2LS9jR54sxEh1cpy0olI Spotify] | [https://francium223.bandcamp.com/track/hi-vis-dog-in-an-outfit Bandcamp] | [https://www.youtube.com/watch?v=z4I6CeiHC1M YouTube]
+* "ambatukum" from ''wiloliquy'' (2025) – [https://open.spotify.com/track/74FOCnuxR4G6rfoq5uIE6y Spotify] | [https://francium223.bandcamp.com/track/ambatukum Bandcamp] | [https://www.youtube.com/watch?v=utDi9XY25K0 YouTube]
+* "Onion?" from ''Questions, Vol. 2'' (2025) – [https://open.spotify.com/track/0HNcOEhQBPqFZeZ9kvhI1N Spotify] | [https://francium223.bandcamp.com/track/onion Bandcamp] | [https://www.youtube.com/watch?v=zvRUCarYJLI YouTube]
 [[Category:Listen]]