2711edo - Revision history

ArrowHead294 at 12:53, 21 February 2025

2025-02-21T12:53:00Z

← Older revision		Revision as of 12:53, 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]] (¢)
	! [[TE simple badness\|Relative]] (%)		! [[TE simple badness\|Relative]] (%)
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	\| {{monzo\| 4297 -2711 }}		\| {{monzo\| 4297 -2711 }}
	\| {{mapping\| 2711 4297 }}		\| {{mapping\| 2711 4297 }}
	\| -0.0233		\| −0.0233
	\| 0.0233		\| 0.0233
	\| 5.26		\| 5.26
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	\| {{monzo\| 77 -31 -12 }}, {{monzo\| 18 -89 53 }}		\| {{monzo\| 77 -31 -12 }}, {{monzo\| 18 -89 53 }}
	\| {{mapping\| 2711 4297 6295 }}		\| {{mapping\| 2711 4297 6295 }}
	\| -0.0316		\| −0.0316
	\| 0.0223		\| 0.0223
	\| 5.04		\| 5.04
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	\| {{monzo\| 3 -13 10 -2 }}, {{monzo\| 37 -9 -11 1 }}, {{monzo\| 0 -11 -7 12 }}		\| {{monzo\| 3 -13 10 -2 }}, {{monzo\| 37 -9 -11 1 }}, {{monzo\| 0 -11 -7 12 }}
	\| {{mapping\| 2711 4297 6295 7611 }}		\| {{mapping\| 2711 4297 6295 7611 }}
	\| -0.0340		\| −0.0340
	\| 0.0198		\| 0.0198
	\| 4.47		\| 4.47
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	\| 151263/151250, 14348907/14348180, 2359296/2358125, 21437500/21434787		\| 151263/151250, 14348907/14348180, 2359296/2358125, 21437500/21434787
	\| {{mapping\| 2711 4297 6295 7611 9379 }}		\| {{mapping\| 2711 4297 6295 7611 9379 }}
	\| -0.0395		\| −0.0395
	\| 0.0209		\| 0.0209
	\| 4.72		\| 4.72
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	\| 4096/4095, 43940/43923, 67392/67375, 151263/151250, 4429568/4428675		\| 4096/4095, 43940/43923, 67392/67375, 151263/151250, 4429568/4428675
	\| {{mapping\| 2711 4297 6295 7611 9379 10032 }}		\| {{mapping\| 2711 4297 6295 7611 9379 10032 }}
	\| -0.0351		\| −0.0351
	\| 0.0215		\| 0.0215
	\| 4.86		\| 4.86

Francium: changed EDO intro to ED intro

2025-02-21T05:56:30Z

changed EDO intro to ED intro

← Older revision		Revision as of 05:56, 21 February 2025
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	{{Infobox ET}}		{{Infobox ET}}
	{{~~EDO~~ intro~~\|2711~~}}		{{ED intro}}

	== Theory ==		== Theory ==

Francium: +categories

2024-02-13T18:32:42Z

+categories

← Older revision		Revision as of 18:32, 13 February 2024
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	; [[User:Francium\|Francium]]		; [[User:Francium\|Francium]]
	* "Ballad From A Broken Record" from ''HemischisMatic EP'' (2023) – [https://open.spotify.com/track/3oiWeSOUJKFohcxBPcGjGt Spotify] \| [https://francium223.bandcamp.com/track/ballad-from-a-broken-record Bandcamp] \| [https://youtu.be/8prB_mBdKlo?si=os7KzZC6N8NWUFDe YouTube] – [[hemischis]] in 2711edo tuning		* "Ballad From A Broken Record" from ''HemischisMatic EP'' (2023) – [https://open.spotify.com/track/3oiWeSOUJKFohcxBPcGjGt Spotify] \| [https://francium223.bandcamp.com/track/ballad-from-a-broken-record Bandcamp] \| [https://youtu.be/8prB_mBdKlo?si=os7KzZC6N8NWUFDe YouTube] – [[hemischis]] in 2711edo tuning

			[[Category:Listen]]

Francium: +scales

2023-12-04T08:09:02Z

+scales

← Older revision		Revision as of 08:09, 4 December 2023
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	\| 4.86		\| 4.86
	\|}		\|}

			== Scales ==
			* [[Hemischis53]]

	== Music ==		== Music ==
	; [[User:Francium\|Francium]]		; [[User:Francium\|Francium]]
	* "Ballad From A Broken Record" from ''HemischisMatic EP'' (2023) – [https://open.spotify.com/track/3oiWeSOUJKFohcxBPcGjGt Spotify] \| [https://francium223.bandcamp.com/track/ballad-from-a-broken-record Bandcamp] \| [https://youtu.be/8prB_mBdKlo?si=os7KzZC6N8NWUFDe YouTube] – [[hemischis]] in 2711edo tuning		* "Ballad From A Broken Record" from ''HemischisMatic EP'' (2023) – [https://open.spotify.com/track/3oiWeSOUJKFohcxBPcGjGt Spotify] \| [https://francium223.bandcamp.com/track/ballad-from-a-broken-record Bandcamp] \| [https://youtu.be/8prB_mBdKlo?si=os7KzZC6N8NWUFDe YouTube] – [[hemischis]] in 2711edo tuning

FloraC: Expand

2023-10-30T10:19:36Z

Expand

← Older revision		Revision as of 10:19, 30 October 2023
Line 3:		Line 3:

	== Theory ==		== Theory ==
	~~2711et~~ tempers out [[78125000/78121827]] in the 7-limit; 35156250/35153041, 14348907/14348180, 21437500/21434787, 151263/151250, 2359296/2358125, 5767168/5764801 and 199297406/199290375 in the 11-limit.		2711edo is [[consistency\|distinctly consistent]] to the [[15-odd-limit]], or the no-11 [[19-odd-limit]]. The equal temperament [[tempering out\|tempers out]] [[78125000/78121827]] in the 7-limit; 35156250/35153041, 14348907/14348180, 21437500/21434787, 151263/151250, 2359296/2358125, 5767168/5764801 and 199297406/199290375 in the 11-limit.

	=== Prime harmonics ===		=== Prime harmonics ===

FloraC: Cleanup; linking

2023-10-21T12:42:07Z

Cleanup; linking

← Older revision		Revision as of 12:42, 21 October 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|2711}}		{{EDO intro\|2711}}

	== Theory ==		== Theory ==
	2711et tempers out [[78125000/78121827]] in the 7-limit; 35156250/35153041, 14348907/14348180, 21437500/21434787, 151263/151250, 2359296/2358125, 5767168/5764801 and 199297406/199290375 in the 11-limit.		2711et tempers out [[78125000/78121827]] in the 7-limit; 35156250/35153041, 14348907/14348180, 21437500/21434787, 151263/151250, 2359296/2358125, 5767168/5764801 and 199297406/199290375 in the 11-limit.
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	\| 2.3		\| 2.3
	\| {{monzo\| 4297 -2711 }}		\| {{monzo\| 4297 -2711 }}
	\| {{~~val~~\| 2711 4297 }}		\| {{mapping\| 2711 4297 }}
	\| -0.0233		\| -0.0233
	\| 0.0233		\| 0.0233
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	\| 2.3.5		\| 2.3.5
	\| {{monzo\| 77 -31 -12 }}, {{monzo\| 18 -89 53 }}		\| {{monzo\| 77 -31 -12 }}, {{monzo\| 18 -89 53 }}
	\| {{~~val~~\| 2711 4297 6295 }}		\| {{mapping\| 2711 4297 6295 }}
	\| -0.0316		\| -0.0316
	\| 0.0223		\| 0.0223
Line 37:		Line 38:
	\| 2.3.5.7		\| 2.3.5.7
	\| {{monzo\| 3 -13 10 -2 }}, {{monzo\| 37 -9 -11 1 }}, {{monzo\| 0 -11 -7 12 }}		\| {{monzo\| 3 -13 10 -2 }}, {{monzo\| 37 -9 -11 1 }}, {{monzo\| 0 -11 -7 12 }}
	\| {{~~val~~\| 2711 4297 6295 7611 }}		\| {{mapping\| 2711 4297 6295 7611 }}
	\| -0.0340		\| -0.0340
	\| 0.0198		\| 0.0198
Line 44:		Line 45:
	\| 2.3.5.7.11		\| 2.3.5.7.11
	\| 151263/151250, 14348907/14348180, 2359296/2358125, 21437500/21434787		\| 151263/151250, 14348907/14348180, 2359296/2358125, 21437500/21434787
	\| {{~~val~~\| 2711 4297 6295 7611 9379 }}		\| {{mapping\| 2711 4297 6295 7611 9379 }}
	\| -0.0395		\| -0.0395
	\| 0.0209		\| 0.0209
Line 51:		Line 52:
	\| 2.3.5.7.11.13		\| 2.3.5.7.11.13
	\| 4096/4095, 43940/43923, 67392/67375, 151263/151250, 4429568/4428675		\| 4096/4095, 43940/43923, 67392/67375, 151263/151250, 4429568/4428675
	\| {{~~val~~\| 2711 4297 6295 7611 9379 10032 }}		\| {{mapping\| 2711 4297 6295 7611 9379 10032 }}
	\| -0.0351		\| -0.0351
	\| 0.0215		\| 0.0215
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	== Music ==		== Music ==
	; [[User:Francium\|Francium]]		; [[User:Francium\|Francium]]
	* [https://~~www~~.~~youtube~~.com/~~watch~~?v=~~8prB_mBdKlo ''Ballad From A Broken Record''~~] ~~(2023)~~ – [[hemischis]] in 2711edo tuning		* "Ballad From A Broken Record" from ''HemischisMatic EP'' (2023) – [https://open.spotify.com/track/3oiWeSOUJKFohcxBPcGjGt Spotify] \| [https://francium223.bandcamp.com/track/ballad-from-a-broken-record Bandcamp] \| [https://youtu.be/8prB_mBdKlo?si=os7KzZC6N8NWUFDe YouTube] – [[hemischis]] in 2711edo tuning

FloraC: Cleanup

2023-10-15T11:54:45Z

Cleanup

← Older revision		Revision as of 11:54, 15 October 2023
Line 3:		Line 3:
	== Theory ==		== Theory ==
	2711et tempers out [[78125000/78121827]] in the 7-limit; 35156250/35153041, 14348907/14348180, 21437500/21434787, 151263/151250, 2359296/2358125, 5767168/5764801 and 199297406/199290375 in the 11-limit.		2711et tempers out [[78125000/78121827]] in the 7-limit; 35156250/35153041, 14348907/14348180, 21437500/21434787, 151263/151250, 2359296/2358125, 5767168/5764801 and 199297406/199290375 in the 11-limit.
	===Prime harmonics===
			=== Prime harmonics ===
	{{Harmonics in equal\|2711}}		{{Harmonics in equal\|2711}}
	===Subsets and supersets===
			=== Subsets and supersets ===
	2711edo is the 395th [[prime edo]].		2711edo is the 395th [[prime edo]].

	== Regular temperament properties ==		== Regular temperament properties ==
	{\| class="wikitable center-4 center-5 center-6"		{\| class="wikitable center-4 center-5 center-6"
Line 55:		Line 58:

	== Music ==		== Music ==
	*[https://www.youtube.com/watch?v=8prB_mBdKlo Ballad From A Broken Record] by [[~~User:Francium\|Francium~~]]		; [[User:Francium\|Francium]]
			* [https://www.youtube.com/watch?v=8prB_mBdKlo ''Ballad From A Broken Record''] (2023) – [[hemischis]] in 2711edo tuning

BudjarnLambeth at 07:02, 9 July 2023

2023-07-09T07:02:48Z

← Older revision		Revision as of 07:02, 9 July 2023
Line 1:		Line 1:
	~~{{novelty}}{{stub}}~~{{Infobox ET}}		{{Infobox ET}}
	{{EDO intro\|2711}}		{{EDO intro\|2711}}
	== Theory ==		== Theory ==

BudjarnLambeth at 04:35, 9 July 2023

2023-07-09T04:35:18Z

← Older revision		Revision as of 04:35, 9 July 2023
Line 1:		Line 1:
	{{Infobox ET}}		{{novelty}}{{stub}}{{Infobox ET}}
	{{EDO intro\|2711}}		{{EDO intro\|2711}}
	== Theory ==		== Theory ==

FloraC: /* Regular temperament properties */ review the comma bases. This et definitely doesn't support either hemischis or lafa in any obvious way (if it does in a certain val, the val should be given in the theory section)

2023-05-16T14:12:53Z

Regular temperament properties: review the comma bases. This et definitely doesn't support either hemischis or lafa in any obvious way (if it does in a certain val, the val should be given in the theory section)

← Older revision		Revision as of 14:12, 16 May 2023
Line 7:		Line 7:
	===Subsets and supersets===		===Subsets and supersets===
	2711edo is the 395th [[prime edo]].		2711edo is the 395th [[prime edo]].
	==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\|4297 -2711}}		\| {{monzo\| 4297 -2711 }}
	\|{{val\|2711 4297}}		\| {{val\| 2711 4297 }}
	\| -0.0233		\| -0.0233
	\| 0.0233		\| 0.0233
	\| 5.26		\| 5.26
	\|-		\|-
	\|2.3.5		\| 2.3.5
	\|{{monzo\|77 -31 -12}}, {{monzo\|18 -89 53}}		\| {{monzo\| 77 -31 -12 }}, {{monzo\| 18 -89 53 }}
	\|{{val\|2711 4297 6295}}		\| {{val\| 2711 4297 6295 }}
	\| -0.0316		\| -0.0316
	\| 0.0223		\| 0.0223
	\| 5.04		\| 5.04
	\|-		\|-
	\|2.3.5.7		\| 2.3.5.7
	\|{{monzo\|3 -13 10 -2}}, {{monzo\|37 -9 -11 1}}, {{monzo\|0 -11 -7 12}}		\| {{monzo\| 3 -13 10 -2 }}, {{monzo\| 37 -9 -11 1 }}, {{monzo\| 0 -11 -7 12 }}
	\|{{val\|2711 4297 6295 7611}}		\| {{val\| 2711 4297 6295 7611 }}
	\| -0.0340		\| -0.0340
	\| 0.0198		\| 0.0198
	\| 4.47		\| 4.47
	\|-		\|-
	\|2.3.5.7.11		\| 2.3.5.7.11
	\|151263/151250, 2359296/2358125, 21437500/21434787~~, 14348907/14348180~~		\| 151263/151250, 14348907/14348180, 2359296/2358125, 21437500/21434787
	\|{{val\|2711 4297 6295 7611 9379}}		\| {{val\| 2711 4297 6295 7611 9379 }}
	\| -0.0395		\| -0.0395
	\| 0.0209		\| 0.0209
	\| 4.72		\| 4.72
	\|-		\|-
	\|2.3.5.7.11.13		\| 2.3.5.7.11.13
	\|4096/4095, 43940/43923, 67392/67375~~, 123201/123200~~, 151263/151250~~, 1063348/1063125~~, 4429568/4428675		\| 4096/4095, 43940/43923, 67392/67375, 151263/151250, 4429568/4428675
	\|{{val\|2711 4297 6295 7611 9379 10032}}		\| {{val\| 2711 4297 6295 7611 9379 10032 }}
	\| -0.0351		\| -0.0351
	\| 0.0215		\| 0.0215
	\| 4.86		\| 4.86
	\|}

	~~=== Rank-2 temperaments ===~~
	~~{\| class="wikitable center-all left-5"~~
	~~\|+Table of rank-2 temperaments by generator~~
	~~! Periods<br>per 8ve~~
	~~! Generator<br>(reduced)~~
	~~! Cents<br>(reduced)~~
	~~! Associated<br>ratio~~
	~~! Temperaments~~
	\|-
	\|1
	~~\|563\2711~~
	~~\|249.207~~
	~~\|81/70~~
	~~\|[[Hemischis]]~~
	\|-
	\|1
	~~\|584\2711~~
	~~\|258.502~~
	~~\|{{monzo\|-32 13 5}}~~
	~~\|[[Lafa]]~~
	\|}		\|}

	== Music ==		== Music ==
	*[https://www.youtube.com/watch?v=8prB_mBdKlo Ballad From A Broken Record] by [[User:Francium\|Francium]]		*[https://www.youtube.com/watch?v=8prB_mBdKlo Ballad From A Broken Record] by [[User:Francium\|Francium]]