Temperaments for MOS shapes - Revision history

BudjarnLambeth: Todo expand

2026-04-08T23:34:43Z

Todo expand

← Older revision		Revision as of 23:34, 8 April 2026
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	[[Category:Lists of temperaments]]		[[Category:Lists of temperaments]]
	[[Category:MOS scale]]		[[Category:MOS scale]]
			{{todo\|expand}}

FloraC: Tabulate and try to update the names

2025-09-11T12:48:55Z

Tabulate and try to update the names

Show changes

Bcmills at 15:28, 23 August 2024

2024-08-23T15:28:42Z

← Older revision		Revision as of 15:28, 23 August 2024
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	4L3s <<2 1 3 -3 -1 4\|\| [[dicot]] {15/14, 25/24}		4L3s <<2 1 3 -3 -1 4\|\| [[dicot]] {15/14, 25/24}

	5L2s <<1 4 -2 4 -6 -16\|\| [[dominant]] {36/35, 64/63}		5L2s <<1 4 -2 4 -6 -16\|\| [[Dominant (temperament)\|dominant]] {36/35, 64/63}

	6L1s <<3 -2 1 -10 -7 8\|\| {15/14, 256/245}		6L1s <<3 -2 1 -10 -7 8\|\| {15/14, 256/245}

BudjarnLambeth: Added links to temperament names

2024-01-20T00:35:25Z

Added links to temperament names

Show changes

FloraC: +todo

2024-01-09T11:38:36Z

+todo

← Older revision		Revision as of 11:38, 9 January 2024
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	[[Category:Lists of temperaments]]		[[Category:Lists of temperaments]]
	[[Category:MOS scale]]		[[Category:MOS scale]]
			{{Todo\| cleanup }}

FloraC: Un-link and re-link; fix header levels

2024-01-09T11:38:05Z

Un-link and re-link; fix header levels

← Older revision		Revision as of 11:38, 9 January 2024
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	Below are listed [[temperament]]s of least [[TE~~]] [[~~complexity]] which result in a particular [[~~MOS~~]] shape, where "results in" is taken to mean that the [[POTE]] ~~tuning~~ has that shape.		Below are listed [[temperament]]s of least [[TE complexity]] which result in a particular [[mos]] shape, where "results in" is taken to mean that the [[POTE tuning]] has that shape.

	=[[7edo]]=		== 7edo ==
			=== 5-limit ===
	==[[5-limit]]==
	1L6s <<3 5 1\|\| porcupine 250/243		1L6s <<3 5 1\|\| porcupine 250/243

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	6L1s <<3 -2 -10\|\| enipucrop 1125/1024		6L1s <<3 -2 -10\|\| enipucrop 1125/1024

	==[[7-limit]] patent==		=== 7-limit patent ===
	1L6s <<3 5 1 1 -7 -12\|\| hystrix {36/35, 160/147}		1L6s <<3 5 1 1 -7 -12\|\| hystrix {36/35, 160/147}

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	6L1s <<3 -2 1 -10 -7 8\|\| {15/14, 256/245}		6L1s <<3 -2 1 -10 -7 8\|\| {15/14, 256/245}

	==7d==		=== 7d ===
	1L6s <<3 5 2 1 -5 -9\|\| oxygen {21/20, 175/162}		1L6s <<3 5 2 1 -5 -9\|\| oxygen {21/20, 175/162}

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	6L1s <<4 2 5 -6 -3 6\|\| {25/24, 49/45}		6L1s <<4 2 5 -6 -3 6\|\| {25/24, 49/45}

	=[[8edo]]=		== 8edo ==

	==5-limit==		=== 5-limit ===
	1L7s <<5 3 -7\|\| progression 3456/3125		1L7s <<5 3 -7\|\| progression 3456/3125

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	7L1s <<3 5 1\|\| porcupine 250/243		7L1s <<3 5 1\|\| porcupine 250/243

	==7-limit 8d==		=== 7-limit 8d ===
	1L7s <<5 3 7 -7 -3 8\|\| progression {36/35, 392/375}		1L7s <<5 3 7 -7 -3 8\|\| progression {36/35, 392/375}

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	7L1s <<3 5 1 1 -7 -12\|\| hystrix {36/35, 160/147}		7L1s <<3 5 1 1 -7 -12\|\| hystrix {36/35, 160/147}

	=[[9edo]]=		== 9edo ==

	==5-limit==		=== 5-limit ===
	1L8s <<4 -3 -14\|\| negri 16875/16384		1L8s <<4 -3 -14\|\| negri 16875/16384

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	8L1s <<5 3 -7\|\| progression 3456/3125		8L1s <<5 3 -7\|\| progression 3456/3125

	==7-limit==		=== 7-limit ===
	1L8s <<4 -3 2 -14 -8 13\|\| negri {49/48, 225/224}		1L8s <<4 -3 2 -14 -8 13\|\| negri {49/48, 225/224}

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	8L1s <<5 3 7 -7 -3 8\|\| progression {36/35, 392/375}		8L1s <<5 3 7 -7 -3 8\|\| progression {36/35, 392/375}

	=[[10edo]]=		== 10edo ==

	==5-limit==		=== 5-limit ===
	1L9s <<4 7 2\|\| 2500/2187		1L9s <<4 7 2\|\| 2500/2187

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	9L1s <<4 -3 -14\|\| negri 16875/16384		9L1s <<4 -3 -14\|\| negri 16875/16384

	==7-limit==		=== 7-limit ===
	1L9s <<4 7 2 2 -8 -15\|\| {49/48, 175/162}		1L9s <<4 7 2 2 -8 -15\|\| {49/48, 175/162}

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	9L1s <<4 -3 2 -14 -8 13\|\| negri {49/48, 225/224}		9L1s <<4 -3 2 -14 -8 13\|\| negri {49/48, 225/224}

	==[[11-limit]]==		=== 11-limit ===
	1L9s <<4 7 2 5 2 -8 -6 -15 -13 7\|\| {35/33, 49/48, 55/54}		1L9s <<4 7 2 5 2 -8 -6 -15 -13 7\|\| {35/33, 49/48, 55/54}

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	9L1s <<4 -3 2 5 -14 -8 -6 13 22 7\|\| negri {45/44, 49/48, 56/55}		9L1s <<4 -3 2 5 -14 -8 -6 13 22 7\|\| negri {45/44, 49/48, 56/55}

	=[[11edo]]=		== 11edo ==

	==5-limit 11b==		=== 5-limit 11b ===
	1L10s <<7 4 -10\|\| 82944/78125		1L10s <<7 4 -10\|\| 82944/78125

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	10L1s <<4 7 2\|\| 2500/2187		10L1s <<4 7 2\|\| 2500/2187

	==5-limit 11c==		=== 5-limit 11c ===
	1L10s <<5 8 1\|\| ripple 6561/6250		1L10s <<5 8 1\|\| ripple 6561/6250

Line 212:		Line 211:

	10L1s <<5 -14 -33\|\| 14946778125/8589934592		10L1s <<5 -14 -33\|\| 14946778125/8589934592
	~~[[Category:todo:link]]~~
	[[Category:Lists of temperaments]]		[[Category:Lists of temperaments]]
	[[Category:MOS scale]]		[[Category:MOS scale]]

BudjarnLambeth: Added links to dead end page

2024-01-09T07:05:47Z

Added links to dead end page

← Older revision		Revision as of 07:05, 9 January 2024
Line 1:		Line 1:
	Below are listed ~~temperaments~~ of least TE complexity which result in a particular MOS shape, where "results in" is taken to mean that the POTE tuning has that shape.		Below are listed [[temperament]]s of least [[TE]] [[complexity]] which result in a particular [[MOS]] shape, where "results in" is taken to mean that the [[POTE]] tuning has that shape.

	=7edo=		=[[7edo]]=

	==5-limit==		==[[5-limit]]==
	1L6s <<3 5 1\|\| porcupine 250/243		1L6s <<3 5 1\|\| porcupine 250/243

Line 16:		Line 16:
	6L1s <<3 -2 -10\|\| enipucrop 1125/1024		6L1s <<3 -2 -10\|\| enipucrop 1125/1024

	==7-limit patent==		==[[7-limit]] patent==
	1L6s <<3 5 1 1 -7 -12\|\| hystrix {36/35, 160/147}		1L6s <<3 5 1 1 -7 -12\|\| hystrix {36/35, 160/147}

Line 42:		Line 42:
	6L1s <<4 2 5 -6 -3 6\|\| {25/24, 49/45}		6L1s <<4 2 5 -6 -3 6\|\| {25/24, 49/45}

	=8edo=		=[[8edo]]=

	==5-limit==		==5-limit==
Line 74:		Line 74:
	7L1s <<3 5 1 1 -7 -12\|\| hystrix {36/35, 160/147}		7L1s <<3 5 1 1 -7 -12\|\| hystrix {36/35, 160/147}

	=9edo=		=[[9edo]]=

	==5-limit==		==5-limit==
Line 110:		Line 110:
	8L1s <<5 3 7 -7 -3 8\|\| progression {36/35, 392/375}		8L1s <<5 3 7 -7 -3 8\|\| progression {36/35, 392/375}

	=10edo=		=[[10edo]]=

	==5-limit==		==5-limit==
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	9L1s <<4 -3 2 -14 -8 13\|\| negri {49/48, 225/224}		9L1s <<4 -3 2 -14 -8 13\|\| negri {49/48, 225/224}

	==11-limit==		==[[11-limit]]==
	1L9s <<4 7 2 5 2 -8 -6 -15 -13 7\|\| {35/33, 49/48, 55/54}		1L9s <<4 7 2 5 2 -8 -6 -15 -13 7\|\| {35/33, 49/48, 55/54}

Line 169:		Line 169:
	9L1s <<4 -3 2 5 -14 -8 -6 13 22 7\|\| negri {45/44, 49/48, 56/55}		9L1s <<4 -3 2 5 -14 -8 -6 13 22 7\|\| negri {45/44, 49/48, 56/55}

	=11edo=		=[[11edo]]=

	==5-limit 11b==		==5-limit 11b==

BudjarnLambeth: Added 2 categories

2023-12-21T10:51:42Z

Added 2 categories

← Older revision		Revision as of 10:51, 21 December 2023
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	10L1s <<5 -14 -33\|\| 14946778125/8589934592		10L1s <<5 -14 -33\|\| 14946778125/8589934592
	[[Category:todo:link]]		[[Category:todo:link]]
			[[Category:Lists of temperaments]]
			[[Category:MOS scale]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>genewardsmith: Imported revision 388030896 - Original comment:

2012-12-01T15:11:27Z

**Imported revision 388030896 - Original comment: **

← Older revision		Revision as of 15:11, 1 December 2012
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
	: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-12-01 13:19:17 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-12-01 15:11:27 UTC</tt>.<br>
	: The original revision id was <tt>~~388009138~~</tt>.<br>		: The original revision id was <tt>388030896</tt>.<br>
	: The revision comment was: <tt></tt><br>		: The revision comment was: <tt></tt><br>
	The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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	2L9s <<1 -5 -10\|\| 1215/1024		2L9s <<1 -5 -10\|\| 1215/1024
	3L8s <<4 13 11\|\| 1594323/1280000		3L8s <<4 13 11\|\| 1594323/1280000
	4L7s		4L7s <<9 10 -5\|\| 1953125/1889568
	5L6s		5L6s <<3 7 4\|\| laconic 2187/2000
	6L5s		6L5s <<8 15 5\|\| 14348907/12500000
	7L4s		7L4s <<13 12 -11\|\| 1220703125/1088391168
	8L3s		8L3s <<7 9 -2\|\| sensi 78732/78125
	9L2s		9L2s <<1 6 7\|\| avila 729/640
	10L1s <<5 -14 -33\|\| 14946778125/8589934592</pre></div>		10L1s <<5 -14 -33\|\| 14946778125/8589934592</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
Line 250:		Line 250:
	2L9s &lt;&lt;1 -5 -10\|\| 1215/1024<br />		2L9s &lt;&lt;1 -5 -10\|\| 1215/1024<br />
	3L8s &lt;&lt;4 13 11\|\| 1594323/1280000<br />		3L8s &lt;&lt;4 13 11\|\| 1594323/1280000<br />
	4L7s<br />		4L7s &lt;&lt;9 10 -5\|\| 1953125/1889568<br />
	5L6s<br />		5L6s &lt;&lt;3 7 4\|\| laconic 2187/2000<br />
	6L5s<br />		6L5s &lt;&lt;8 15 5\|\| 14348907/12500000<br />
	7L4s<br />		7L4s &lt;&lt;13 12 -11\|\| 1220703125/1088391168<br />
	8L3s<br />		8L3s &lt;&lt;7 9 -2\|\| sensi 78732/78125<br />
	9L2s<br />		9L2s &lt;&lt;1 6 7\|\| avila 729/640<br />
	10L1s &lt;&lt;5 -14 -33\|\| 14946778125/8589934592</body></html></pre></div>		10L1s &lt;&lt;5 -14 -33\|\| 14946778125/8589934592</body></html></pre></div>

← Older revision		Revision as of 15:28, 23 August 2024
Line 24:		Line 24:
	4L3s <<2 1 3 -3 -1 4\|\| [[dicot]] {15/14, 25/24}		4L3s <<2 1 3 -3 -1 4\|\| [[dicot]] {15/14, 25/24}

	5L2s <<1 4 -2 4 -6 -16\|\| [[dominant]] {36/35, 64/63}		5L2s <<1 4 -2 4 -6 -16\|\| [[Dominant (temperament)\|dominant]] {36/35, 64/63}

	6L1s <<3 -2 1 -10 -7 8\|\| {15/14, 256/245}		6L1s <<3 -2 1 -10 -7 8\|\| {15/14, 256/245}

Temperaments for MOS shapes - Revision history

BudjarnLambeth: Todo expand

FloraC: Tabulate and try to update the names

Bcmills at 15:28, 23 August 2024

BudjarnLambeth: Added links to temperament names

FloraC: +todo

FloraC: Un-link and re-link; fix header levels

BudjarnLambeth: Added links to dead end page

BudjarnLambeth: Added 2 categories

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>genewardsmith: **Imported revision 388030896 - Original comment: **

Wikispaces>genewardsmith: Imported revision 388030896 - Original comment: