379edo - 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"

2026-03-13T13:32:10Z

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 13:32, 13 March 2026
Line 99:		Line 99:
	\| [[Langwidge]]		\| [[Langwidge]]
	\|}		\|}
	<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

	== Scales ==		== Scales ==

ArrowHead294 at 12:39, 21 February 2025

2025-02-21T12:39:14Z

← Older revision		Revision as of 12:39, 21 February 2025
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	== Regular temperament properties ==		== Regular temperament properties ==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"
			\|-
	! rowspan="2" \| [[Subgroup]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \| [[Comma list~~\|Comma List~~]]		! rowspan="2" \| [[Comma list]]
	! rowspan="2" \| [[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \| Optimal<br>8ve ~~Stretch~~ (¢)		! rowspan="2" \| Optimal<br />8ve stretch (¢)
	! colspan="2" \| Tuning ~~Error~~		! colspan="2" \| Tuning error
	\|-		\|-
	! [[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
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	\| {{monzo\| 601 -379 }}		\| {{monzo\| 601 -379 }}
	\| {{mapping\| 379 601 }}		\| {{mapping\| 379 601 }}
	\| -0.2989		\| −0.2989
	\| 0.2988		\| 0.2988
	\| 9.43		\| 9.43
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	\| {{monzo\| 35 -25 2 }}, {{monzo\| 38 -2 -15 }}		\| {{monzo\| 35 -25 2 }}, {{monzo\| 38 -2 -15 }}
	\| {{mapping\| 379 601 880 }}		\| {{mapping\| 379 601 880 }}
	\| -0.1944		\| −0.1944
	\| 0.2852		\| 0.2852
	\| 9.01		\| 9.01
Line 39:		Line 40:
	\| 5120/5103, 2401/2400, {{monzo\| -23 -11 15 2 }}		\| 5120/5103, 2401/2400, {{monzo\| -23 -11 15 2 }}
	\| {{mapping\| 379 601 880 1064 }}		\| {{mapping\| 379 601 880 1064 }}
	\| -0.1493		\| −0.1493
	\| 0.2591		\| 0.2591
	\| 8.18		\| 8.18
Line 46:		Line 47:
	\| 2401/2400, 5120/5103, 5632/5625, 14641/14580		\| 2401/2400, 5120/5103, 5632/5625, 14641/14580
	\| {{mapping\| 379 601 880 1064 1311 }}		\| {{mapping\| 379 601 880 1064 1311 }}
	\| -0.0967		\| −0.0967
	\| 0.2545		\| 0.2545
	\| 8.04		\| 8.04
Line 53:		Line 54:
	\| 325/324, 1001/1000, 1716/1715, 5120/5103, 6656/6655		\| 325/324, 1001/1000, 1716/1715, 5120/5103, 6656/6655
	\| {{mapping\| 379 601 880 1064 1311 1402 }} (379)		\| {{mapping\| 379 601 880 1064 1311 1402 }} (379)
	\| -0.014		\| −0.014
	\| 0.2969		\| 0.2969
	\| 9.38		\| 9.38
Line 60:		Line 61:
	=== Rank-2 temperaments ===		=== Rank-2 temperaments ===
	{\| class="wikitable center-all left-5"		{\| class="wikitable center-all left-5"
	\|+Table of rank-2 temperaments by generator		\|+ style="font-size: 105%;" \| Table of rank-2 temperaments by generator
	! Periods<br>per 8ve		\|-
			! Periods<br />per 8ve
	! Generator*		! Generator*
	! Cents*		! Cents*
	! Associated<br>~~Ratio~~*		! Associated<br />ratio*
	! Temperaments		! Temperaments
	\|-		\|-
Line 97:		Line 99:
	\| [[Langwidge]]		\| [[Langwidge]]
	\|}		\|}
			<nowiki />* [[Normal lists\|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists\|minimal form]] in parentheses if distinct

	== Scales ==		== Scales ==

Francium: changed EDO intro to ED intro

2025-02-21T06:06:42Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:06, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|379~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: /* Music */ +music

2024-11-27T13:26:28Z

Music: +music

← Older revision		Revision as of 13:26, 27 November 2024
Line 105:		Line 105:
	* [https://www.youtube.com/watch?v=SDE2Nb7crIU ''Subneutral Funk''] (2023)		* [https://www.youtube.com/watch?v=SDE2Nb7crIU ''Subneutral Funk''] (2023)
	* "Blindfolded, Ordinary" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/0Ron6qIepdAdTfAnKaKPfS Spotify] \| [https://francium223.bandcamp.com/track/blindfolded-ordinary Bandcamp] \| [https://www.youtube.com/watch?v=uuFcSrCfA00 YouTube]		* "Blindfolded, Ordinary" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/0Ron6qIepdAdTfAnKaKPfS Spotify] \| [https://francium223.bandcamp.com/track/blindfolded-ordinary Bandcamp] \| [https://www.youtube.com/watch?v=uuFcSrCfA00 YouTube]
			* "Bread That Was Brought To Life" from ''Naughty Girl Era'' (2024) – [https://open.spotify.com/track/2mVUbNEBX6FPRqjTJ3fyMh Spotify] \| [https://francium223.bandcamp.com/track/bread-that-was-brought-to-life Bandcamp] \| [https://www.youtube.com/watch?v=bfw1PUNV930 YouTube] – bronxic in 379edo

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

Francium: /* Music */ +music

2024-09-08T12:21:51Z

Music: +music

← Older revision		Revision as of 12:21, 8 September 2024
Line 104:		Line 104:
	; [[Francium]]		; [[Francium]]
	* [https://www.youtube.com/watch?v=SDE2Nb7crIU ''Subneutral Funk''] (2023)		* [https://www.youtube.com/watch?v=SDE2Nb7crIU ''Subneutral Funk''] (2023)
			* "Blindfolded, Ordinary" from ''Take Advantage'' (2024) – [https://open.spotify.com/track/0Ron6qIepdAdTfAnKaKPfS Spotify] \| [https://francium223.bandcamp.com/track/blindfolded-ordinary Bandcamp] \| [https://www.youtube.com/watch?v=uuFcSrCfA00 YouTube]

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

Francium: +categories

2024-02-13T18:04:25Z

+categories

← Older revision		Revision as of 18:04, 13 February 2024
Line 102:		Line 102:

	== Music ==		== Music ==
	; [[~~User:Francium\|~~Francium]]		; [[Francium]]
	* [https://www.youtube.com/watch?v=SDE2Nb7crIU ''Subneutral Funk''] (2023)		* [https://www.youtube.com/watch?v=SDE2Nb7crIU ''Subneutral Funk''] (2023)

			[[Category:Listen]]

FloraC: Comma basis

2023-11-09T14:25:55Z

Comma basis

← Older revision		Revision as of 14:25, 9 November 2023
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	== Theory ==		== Theory ==
	Using the [[patent val]], the equal temperament [[tempering out\|tempers out]] [[2401/2400]], [[5120/5103]], and [[10976/10935]] in the 7-limit; [[5632/5625]], [[6250/6237]], [[14641/14580]], 42875/42768, and 43923/43904 in the 11-limit. It [[support]]s ~~the~~ [[subneutral]] ~~temperament~~.		Using the [[patent val]], the equal temperament [[tempering out\|tempers out]] [[2401/2400]], [[5120/5103]], and [[10976/10935]] in the 7-limit; [[5632/5625]], [[6250/6237]], [[14641/14580]], 42875/42768, and 43923/43904 in the 11-limit. It [[support]]s [[hemififths]] and [[subneutral]].

	=== Odd harmonics ===		=== Odd harmonics ===
Line 38:		Line 38:
	\| 2.3.5.7		\| 2.3.5.7
	\| 5120/5103, 2401/2400, {{monzo\| -23 -11 15 2 }}		\| 5120/5103, 2401/2400, {{monzo\| -23 -11 15 2 }}
	\| {{mapping\| 379 601 880 1064} }		\| {{mapping\| 379 601 880 1064 }}
	\| -0.1493		\| -0.1493
	\| 0.2591		\| 0.2591
Line 44:		Line 44:
	\|-		\|-
	\| 2.3.5.7.11		\| 2.3.5.7.11
	\| 2401/2400, 5120/5103, 5632/5625, ~~166375~~/~~165888~~		\| 2401/2400, 5120/5103, 5632/5625, 14641/14580
	\| {{mapping\| 379 601 880 1064 1311 }}		\| {{mapping\| 379 601 880 1064 1311 }}
	\| -0.0967		\| -0.0967

FloraC: Review

2023-11-09T14:23:35Z

Review

← Older revision		Revision as of 14:23, 9 November 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|379}}		{{EDO intro\|379}}
	==Theory==
	~~379~~ tempers out ~~4096000~~/~~4084101~~, [[5120/5103]] and [[~~2401~~/~~2400~~]] in the 7-limit; ~~2097152~~/~~2096325, 1953125/1951488~~, [[6250/6237]]~~, 42875/42768, 5767168/5764801, 180224/180075~~, [[~~5632~~/~~5625~~]], ~~537109375~~/~~536870912, 422576/421875, 9453125/9437184, 166375/165888, 67110351/67108864, 3294225/3294172~~, 43923/43904~~, 102487/102400, 20614528/20588575, 644204/643125 and 781258401/781250000~~ in the 11-limit. It ~~provides the optimal patent val for~~ the [[subneutral]] temperament.		== Theory ==
			Using the [[patent val]], the equal temperament [[tempering out\|tempers out]] [[2401/2400]], [[5120/5103]], and [[10976/10935]] in the 7-limit; [[5632/5625]], [[6250/6237]], [[14641/14580]], 42875/42768, and 43923/43904 in the 11-limit. It [[support]]s the [[subneutral]] temperament.

			=== Odd harmonics ===
			{{Harmonics in equal\|379}}

			=== Subsets and supersets ===
	379edo is the 75th [[prime edo]].		379edo is the 75th [[prime edo]].
	~~{{Harmonics in equal\|379}}~~
	==Regular temperament properties==		== Regular temperament properties ==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"
	! rowspan="2" \|[[Subgroup]]		! rowspan="2" \| [[Subgroup]]
	! rowspan="2" \|[[Comma list\|Comma List]]		! rowspan="2" \| [[Comma list\|Comma List]]
	! rowspan="2" \|[[Mapping]]		! rowspan="2" \| [[Mapping]]
	! rowspan="2" \|Optimal<br>8ve Stretch (¢)		! rowspan="2" \| Optimal<br>8ve Stretch (¢)
	! colspan="2" \|Tuning Error		! colspan="2" \| Tuning Error
	\|-		\|-
	![[TE error\|Absolute]] (¢)		! [[TE error\|Absolute]] (¢)
	![[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
	\|-		\|-
	\|2.3		\| 2.3
	\|{{monzo\| 601 -379}}		\| {{monzo\| 601 -379 }}
	\|{{~~val~~\| 379 601}}		\| {{mapping\| 379 601 }}
	\| -0.2989		\| -0.2989
	\|0.2988		\| 0.2988
	\|9.43		\| 9.43
	\|-		\|-
	\|2.3.5		\| 2.3.5
	\|{{monzo\| 35 -25 2}}, {{monzo\| 38 -2 -15}}		\| {{monzo\| 35 -25 2 }}, {{monzo\| 38 -2 -15 }}
	\|{{~~val~~\| 379 601 880}}		\| {{mapping\| 379 601 880 }}
	\| -0.1944		\| -0.1944
	\|0.2852		\| 0.2852
	\|9.01		\| 9.01
	\|-		\|-
	\|2.3.5.7		\| 2.3.5.7
	\|5120/5103, 2401/2400, {{monzo\| -23 -11 15 2}}		\| 5120/5103, 2401/2400, {{monzo\| -23 -11 15 2 }}
	\|{{~~val~~\| 379 601 880 1064}}		\| {{mapping\| 379 601 880 1064} }
	\| -0.1493		\| -0.1493
	\|0.2591		\| 0.2591
	\|8.18		\| 8.18
	\|-		\|-
	\|2.3.5.7.11		\| 2.3.5.7.11
	\|5120/5103, 5632/5625~~, 2401/2400~~, 166375/165888		\| 2401/2400, 5120/5103, 5632/5625, 166375/165888
	\|{{~~val~~\| 379 601 880 1064 ~~1311~~}}		\| {{mapping\| 379 601 880 1064 1311 }}
	\| -0.0967		\| -0.0967
	\|0.2545		\| 0.2545
	\|8.04		\| 8.04
	\|-		\|-
	\|2.3.5.7.11.13		\| 2.3.5.7.11.13
	\|325/324, 1001/1000, 1716/1715, 5120/5103, 6656/6655		\| 325/324, 1001/1000, 1716/1715, 5120/5103, 6656/6655
	\|{{~~val~~\| 379 601 880 1064 1311 1402}}		\| {{mapping\| 379 601 880 1064 1311 1402 }} (379)
	\| -0.014		\| -0.014
	\|0.2969		\| 0.2969
	\|9.38		\| 9.38
	\|}		\|}

Line 56:		Line 62:
	\|+Table of rank-2 temperaments by generator		\|+Table of rank-2 temperaments by generator
	! Periods<br>per 8ve		! Periods<br>per 8ve
	! Generator~~<br>(reduced)~~		! Generator*
	! Cents~~<br>(reduced)~~		! Cents*
	! Associated<br>~~ratio~~		! Associated<br>Ratio*
	! Temperaments		! Temperaments
	\|-		\|-
	\|1		\| 1
	\|61\379		\| 61\379
	\|193.14		\| 193.14
	\|262144/234375		\| 262144/234375
	\|[[Luna]]		\| [[Luna]]
	\|-		\|-
	\|1		\| 1
	\|110\379		\| 110\379
	\|348.28		\| 348.28
	\|57344/46875		\| 57344/46875
	\|[[Subneutral]]		\| [[Subneutral]]
	\|-		\|-
	\|1		\| 1
	\|111\379		\| 111\379
	\|351.45		\| 351.45
	\|49/40		\| 49/40
	\|[[Hemififths]]		\| [[Hemififths]]
	\|-		\|-
	\|1		\| 1
	\|143\379		\| 143\379
	\|452.77		\| 452.77
	\|162/125		\| 162/125
	\|[[Maja]]		\| [[Maja]] (5-limit)
	\|-		\|-
	\|1		\| 1
	\|221\379		\| 221\379
	\|699.74		\| 699.74
	\|8192/6137		\| 8192/6137
	\|[[Langwidge]]		\| [[Langwidge]]
	\|}		\|}

	==Scales==		== Scales ==
	*[[Subneutral31]]		* [[Subneutral31]]

	==Music==		== Music ==
	*[https://www.youtube.com/watch?v=SDE2Nb7crIU Subneutral Funk] ~~by Francium~~		; [[User:Francium\|Francium]]
			* [https://www.youtube.com/watch?v=SDE2Nb7crIU ''Subneutral Funk''] (2023)

Francium: /* Rank-2 temperaments */

2023-05-14T14:10:18Z

Rank-2 temperaments

@@ Line 60: / Line 60: @@
 ! Associated<br>ratio
 ! Temperaments
 |-
 |1
@@ Line 66: / Line 72: @@
 |57344/46875
 |[[Subneutral]]
 |-
 |1

Eliora: /* Rank-2 temperaments */ langwidge

2023-05-09T12:46:20Z

Rank-2 temperaments: langwidge

← Older revision		Revision as of 12:46, 9 May 2023
Line 65:		Line 65:
	\|348.28		\|348.28
	\|57344/46875		\|57344/46875
	\|Subneutral		\|[[Subneutral]]
			\|-
			\|1
			\|221\379
			\|699.74
			\|8192/6137
			\|[[Langwidge]]
	\|}		\|}