373edo - Revision history

FloraC: Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

2026-03-13T13:31:59Z

Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"

← Older revision		Revision as of 13:31, 13 March 2026
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	\| [[Untriton]] (5-limit)		\| [[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 ==		== Music ==

Francium: /* Music */ +music

2025-04-19T11:29:31Z

Music: +music

← Older revision		Revision as of 11:29, 19 April 2025
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	; [[Francium]]		; [[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]		* "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] – ~~in Kunijic, 373edo tuning~~		* "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]]		[[Category:Listen]]

Francium: /* Music */ +music

2025-03-07T12:10:54Z

Music: +music

← Older revision		Revision as of 12:10, 7 March 2025
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	; [[Francium]]		; [[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]		* "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] – in Kunijic, 373edo tuning

	[[Category:Listen]]		[[Category:Listen]]

Francium: +link to table of intervals

2025-03-02T10:56:24Z

+link to table of intervals

← Older revision		Revision as of 10:56, 2 March 2025
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	=== Subsets and supersets ===		=== Subsets and supersets ===
	373edo is the 74th [[prime edo]].		373edo is the 74th [[prime edo]].

			== Intervals ==
			{{Main\|Table of 373edo intervals}}

	== Regular temperament properties ==		== Regular temperament properties ==

ArrowHead294 at 22:40, 20 February 2025

2025-02-20T22:40:55Z

← Older revision		Revision as of 22:40, 20 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|373~~}}		{{ED intro}}

	== Theory ==		== Theory ==

FloraC: /* Theory */ cleanup

2025-01-17T15:58:38Z

Theory: cleanup

← Older revision		Revision as of 15:58, 17 January 2025
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	== Theory ==		== 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 ===		=== Prime harmonics ===

ArrowHead294 at 18:58, 15 January 2025

2025-01-15T18:58:19Z

← Older revision		Revision as of 18:58, 15 January 2025
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	== Theory ==		== 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. ~~The equal temperament~~ [[~~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 [[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. 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]].

	=== Prime harmonics ===		=== Prime harmonics ===
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	\| [[Untriton]] (5-limit)		\| [[Untriton]] (5-limit)
	\|}		\|}
	<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if ~~it is~~ distinct		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

	== Music ==		== Music ==
	; [[Francium]]		; [[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]		* "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]

	[[Category:Listen]]		[[Category:Listen]]

ArrowHead294: Partial undo

2024-11-16T12:42:57Z

Partial undo

← Older revision		Revision as of 12:42, 16 November 2024
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	== Regular temperament properties ==		== Regular temperament properties ==
	{~~{comma basis begin}}~~		{\| class="wikitable center-4 center-5 center-6"
			\|-
			! rowspan="2" \| [[Subgroup]]
			! rowspan="2" \| [[Comma list]]
			! rowspan="2" \| [[Mapping]]
			! rowspan="2" \| Optimal<br />8ve stretch (¢)
			! colspan="2" \| Tuning error
			\|-
			! [[TE error\|Absolute]] (¢)
			! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\| 2.3		\| 2.3
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	\| 0.1327		\| 0.1327
	\| 4.12		\| 4.12
	~~{{comma basis end}~~}		\|}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{{rank-2 ~~begin}}~~		{\| class="wikitable center-all left-5"
			\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
			\|-
			! Periods<br />per 8ve
			! Generator*
			! Cents*
			! Associated<br />ratio*
			! Temperaments
	\|-		\|-
	\| 1		\| 1
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	\| 45/32		\| 45/32
	\| [[Untriton]] (5-limit)		\| [[Untriton]] (5-limit)
	~~{{rank-2 end}~~}		\|}
	~~{{orf}}~~		<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct

	== Music ==		== Music ==

ArrowHead294 at 04:06, 16 November 2024

2024-11-16T04:06:48Z

← Older revision		Revision as of 04:06, 16 November 2024
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	== Regular temperament properties ==		== Regular temperament properties ==
	{~~\| class="wikitable center-4 center-5 center-6"~~		{{comma basis begin}}
	~~! rowspan="2" \| [[Subgroup]]~~
	~~! rowspan="2" \| [[Comma list\|Comma List]]~~
	~~! rowspan="2" \| [[Mapping]]~~
	~~! rowspan="2" \| Optimal<br>8ve Stretch (¢)~~
	~~! colspan="2" \| Tuning Error~~
	\|-
	~~! [[TE error\|Absolute]] (¢)~~
	~~! [[TE simple badness\|Relative]] (%)~~
	\|-		\|-
	\| 2.3		\| 2.3
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	\| 0.1327		\| 0.1327
	\| 4.12		\| 4.12
	\|}		{{comma basis end}}

	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{~~\| class="wikitable center-all left-5"~~		{{rank-2 begin}}
	~~\|+Table of~~ rank-2 ~~temperaments by generator~~
	~~! Periods<br>per 8ve~~
	! Generator*
	! Cents*
	! Associated<br>Ratio*
	~~! Temperaments~~
	\|-		\|-
	\| 1		\| 1
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	\| 45/32		\| 45/32
	\| [[Untriton]] (5-limit)		\| [[Untriton]] (5-limit)
	\|}		{{rank-2 end}}
	~~<nowiki>*</nowiki> [[Normal lists\|octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if it is distinct~~		{{orf}}

	== Music ==		== Music ==
	; [[Francium]]		; [[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]		* "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]

			[[Category:Listen]]

Francium: +music

2024-07-18T13:11:40Z

+music

← Older revision		Revision as of 13:11, 18 July 2024
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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		<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 ==
			; [[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]