439edo - Revision history

ArrowHead294 at 12:41, 21 February 2025

2025-02-21T12:41:39Z

← Older revision		Revision as of 12:41, 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\| 696 -439 }}		\| {{monzo\| 696 -439 }}
	\| {{mapping\| 439 696 }}		\| {{mapping\| 439 696 }}
	\| -0.1737		\| −0.1737
	\| 0.1737		\| 0.1737
	\| 6.36		\| 6.36
	\|-		\|- style="border-top: double;"
	\| style="border-top: double;" \| 2.3.5		\| 2.3.5
	~~\| style="border-top: double;"~~ \| 15625/15552, {{monzo\| 115 -74 1 }}		\| 15625/15552, {{monzo\| 115 -74 1 }}
	~~\| style="border-top: double;"~~ \| {{mapping\| 439 696 1019 }} (439)		\| {{mapping\| 439 696 1019 }} (439)
	~~\| style="border-top: double;"~~ \| +0.0122		\| +0.0122
	~~\| style="border-top: double;"~~ \| 0.2988		\| 0.2988
	~~\| style="border-top: double;"~~ \| 10.9		\| 10.9
	\|-		\|-
	\| 2.3.5.7		\| 2.3.5.7
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	\| 0.3127		\| 0.3127
	\| 11.4		\| 11.4
	\|-		\|- style="border-top: double;"
	\| style="border-top: double;" \| 2.3.5		\| 2.3.5
	~~\| style="border-top: double;"~~ \| {{monzo\| 24 -21 4 }}, {{monzo\| 36 11 -23 }}		\| {{monzo\| 24 -21 4 }}, {{monzo\| 36 11 -23 }}
	~~\| style="border-top: double;"~~ \| {{mapping\| 439 696 1020 }} (439c)		\| {{mapping\| 439 696 1020 }} (439c)
	\| ~~style="border-top: double;" \| -0~~.3801		\| −0.3801
	~~\| style="border-top: double;"~~ \| 0.3244		\| 0.3244
	~~\| style="border-top: double;"~~ \| 11.9		\| 11.9
	\|-		\|-
	\| 2.3.5.7		\| 2.3.5.7
	\| 3136/3125, 2097152/2083725, 43046721/42875000		\| 3136/3125, 2097152/2083725, 43046721/42875000
	\| {{mapping\| 439 696 1020 1233 }} (439cd)		\| {{mapping\| 439 696 1020 1233 }} (439cd)
	\| -0.4241		\| −0.4241
	\| 0.2911		\| 0.2911
	\| 10.7		\| 10.7

Francium: changed EDO intro to ED intro

2025-02-21T06:04:37Z

changed EDO intro to ED intro

← Older revision		Revision as of 06:04, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|439~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +categories

2024-02-13T18:10:27Z

+categories

← Older revision		Revision as of 18:10, 13 February 2024
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	; [[Francium]]		; [[Francium]]
	* "In The Black Hole" from ''Helayo EP'' (2023) – [https://open.spotify.com/track/3M2keEmTeY1J1j4cugAjXG Spotify] \| [https://francium223.bandcamp.com/track/in-the-black-hole Bandcamp] \| [https://youtu.be/ouGndPvLLso?si=fEI5pzfIydWHPF2l YouTube] – helayo in 439edo tuning		* "In The Black Hole" from ''Helayo EP'' (2023) – [https://open.spotify.com/track/3M2keEmTeY1J1j4cugAjXG Spotify] \| [https://francium223.bandcamp.com/track/in-the-black-hole Bandcamp] \| [https://youtu.be/ouGndPvLLso?si=fEI5pzfIydWHPF2l YouTube] – helayo in 439edo tuning

			[[Category:Listen]]

Francium: +scales

2023-11-27T06:56:38Z

+scales

← Older revision		Revision as of 06:56, 27 November 2023
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	\| 10.7		\| 10.7
	\|}		\|}

			== Scales ==
			* [[Helayo24]]

	== Music ==		== Music ==
	; [[~~User:Francium\|~~Francium]]		; [[Francium]]
	* "In The Black Hole" from ''Helayo EP'' (2023) – [https://open.spotify.com/track/3M2keEmTeY1J1j4cugAjXG Spotify] \| [https://francium223.bandcamp.com/track/in-the-black-hole Bandcamp] \| [https://youtu.be/ouGndPvLLso?si=fEI5pzfIydWHPF2l YouTube] – helayo in 439edo tuning		* "In The Black Hole" from ''Helayo EP'' (2023) – [https://open.spotify.com/track/3M2keEmTeY1J1j4cugAjXG Spotify] \| [https://francium223.bandcamp.com/track/in-the-black-hole Bandcamp] \| [https://youtu.be/ouGndPvLLso?si=fEI5pzfIydWHPF2l YouTube] – helayo in 439edo tuning

FloraC: Cleanup and linking

2023-10-21T13:18:04Z

Cleanup and linking

← Older revision		Revision as of 13:18, 21 October 2023
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	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|439}}		{{EDO intro\|439}}

	== Theory ==		== Theory ==
	439edo is in[[consistent]] in the 5-odd-limit. In the 7-limit, the [[patent val]] {{val\| 439 696 1019 1232 }}, and the 439cd val {{val\| 439 696 '''1020''' '''1233''' }} are about as viable.		439edo is in[[consistent]] in the 5-odd-limit. In the 7-limit, the [[patent val]] {{val\| 439 696 1019 1232 }}, and the 439cd val {{val\| 439 696 '''1020''' '''1233''' }} are about as viable.
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	\| 2.3		\| 2.3
	\| {{monzo\| 696 -439 }}		\| {{monzo\| 696 -439 }}
	\| {{~~val~~\| 439 696 }}		\| {{mapping\| 439 696 }}
	\| -0.1737		\| -0.1737
	\| 0.1737		\| 0.1737
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	\| style="border-top: double;" \| 2.3.5		\| style="border-top: double;" \| 2.3.5
	\| style="border-top: double;" \| 15625/15552, {{monzo\| 115 -74 1 }}		\| style="border-top: double;" \| 15625/15552, {{monzo\| 115 -74 1 }}
	\| style="border-top: double;" \| {{~~val~~\| 439 696 1019 }} (439)		\| style="border-top: double;" \| {{mapping\| 439 696 1019 }} (439)
	\| style="border-top: double;" \| +0.0122		\| style="border-top: double;" \| +0.0122
	\| style="border-top: double;" \| 0.2988		\| style="border-top: double;" \| 0.2988
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	\| 2.3.5.7		\| 2.3.5.7
	\| 10976/10935, 15625/15552, {{monzo\| -25 6 -3 8 }}		\| 10976/10935, 15625/15552, {{monzo\| -25 6 -3 8 }}
	\| {{~~val~~\| 439 696 1019 1232 }} (439)		\| {{mapping\| 439 696 1019 1232 }} (439)
	\| +0.1135		\| +0.1135
	\| 0.3127		\| 0.3127
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	\| style="border-top: double;" \| 2.3.5		\| style="border-top: double;" \| 2.3.5
	\| style="border-top: double;" \| {{monzo\| 24 -21 4 }}, {{monzo\| 36 11 -23 }}		\| style="border-top: double;" \| {{monzo\| 24 -21 4 }}, {{monzo\| 36 11 -23 }}
	\| style="border-top: double;" \| {{~~val~~\| 439 696 1020 }} (439c)		\| style="border-top: double;" \| {{mapping\| 439 696 1020 }} (439c)
	\| style="border-top: double;" \| -0.3801		\| style="border-top: double;" \| -0.3801
	\| style="border-top: double;" \| 0.3244		\| style="border-top: double;" \| 0.3244
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	\| 2.3.5.7		\| 2.3.5.7
	\| 3136/3125, 2097152/2083725, 43046721/42875000		\| 3136/3125, 2097152/2083725, 43046721/42875000
	\| {{~~val~~\| 439 696 1020 1233 }} (439cd)		\| {{mapping\| 439 696 1020 1233 }} (439cd)
	\| -0.4241		\| -0.4241
	\| 0.2911		\| 0.2911
Line 62:		Line 63:

	== Music ==		== Music ==
	* [https://~~www~~.~~youtube~~.com/~~watch?v=ouGndPvLLso In The Black Hole~~] by [[~~Francium]~~]		; [[User:Francium\|Francium]]
			* "In The Black Hole" from ''Helayo EP'' (2023) – [https://open.spotify.com/track/3M2keEmTeY1J1j4cugAjXG Spotify] \| [https://francium223.bandcamp.com/track/in-the-black-hole Bandcamp] \| [https://youtu.be/ouGndPvLLso?si=fEI5pzfIydWHPF2l YouTube] – helayo in 439edo tuning

Francium: /* Music */

2023-07-09T09:35:45Z

Music

← Older revision		Revision as of 09:35, 9 July 2023
Line 62:		Line 62:

	== Music ==		== Music ==
	* [https://www.youtube.com/watch?v=ouGndPvLLso In The Black Hole] by [[~~User.Francium\|~~Francium]]		* [https://www.youtube.com/watch?v=ouGndPvLLso In The Black Hole] by [[Francium]]

BudjarnLambeth at 06:34, 9 July 2023

2023-07-09T06:34:19Z

← Older revision		Revision as of 06:34, 9 July 2023
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	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|439}}		{{EDO intro\|439}}
	== Theory ==		== Theory ==

BudjarnLambeth at 05:52, 9 July 2023

2023-07-09T05:52:49Z

← Older revision		Revision as of 05:52, 9 July 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|439}}		{{EDO intro\|439}}
	== Theory ==		== Theory ==

Francium: Added music section

2023-04-29T11:11:38Z

Added music section

← Older revision		Revision as of 11:11, 29 April 2023
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	\| 10.7		\| 10.7
	\|}		\|}

			== Music ==
			* [https://www.youtube.com/watch?v=ouGndPvLLso In The Black Hole] by [[User.Francium\|Francium]]

FloraC: /* Theory */ rework to address alternative vals

2023-04-22T19:59:32Z

Theory: rework to address alternative vals

← Older revision		Revision as of 19:59, 22 April 2023
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	{{EDO intro\|439}}		{{EDO intro\|439}}
	== Theory ==		== Theory ==
	~~439et~~ tempers out [[703125/702464]] in the 7-limit; ~~55296000~~/~~55240493, 100663296/100656875~~, ~~820125~~/~~819896~~, ~~2097152~~/~~2096325~~, ~~759375~~/~~758912~~, [[131072/130977]], ~~352947~~/~~352000~~, ~~85937500~~/~~85766121~~, ~~1879453125~~/~~1879048192, 184549376~~/~~184528125~~, ~~184877~~/~~184320~~, [[~~3025~~/~~3024~~]] ~~and~~ [[~~1771561~~/~~1771470~~]] in the 11-limit.		439edo is in[[consistent]] in the 5-odd-limit. In the 7-limit, the [[patent val]] {{val\| 439 696 1019 1232 }}, and the 439cd val {{val\| 439 696 '''1020''' '''1233''' }} are about as viable.
	===Prime harmonics===
			The patent val tempers out [[10976/10935]], [[15625/15552]] and [[703125/702464]] in the 7-limit; [[3025/3024]], 4375/4356, 14700/14641, 59290/59049, [[131072/130977]], and 184877/184320 in the 11-limit.

			The 439cd val tempers out [[3136/3125]], 2097152/2083725, and 4096000/4084101 in the 7-limit; 3136/3125, 15488/15435, [[16384/16335]], [[19712/19683]], 24057/24010, 43923/43750, 43923/43904, and 46656/46585 in the 11-limit.

			=== Prime harmonics ===
	{{Harmonics in equal\|439}}		{{Harmonics in equal\|439}}
	===Subsets and supersets===
			=== Subsets and supersets ===
	439edo is the 85th [[prime edo]].		439edo is the 85th [[prime edo]].

	== Regular temperament properties ==		== Regular temperament properties ==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"