Miscellaneous 5-limit temperaments - Revision history

FloraC: /* Satin */ update

2026-05-16T08:53:31Z

Satin: update

← Older revision		Revision as of 08:53, 16 May 2026
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	== Satin ==		== Satin ==
	: ''For extensions, see [[~~Canousmic temperaments~~ #Satin]].''		: ''For extensions, see [[Garischismic clan #Satin]].''

	[[Subgroup]]: 2.3.5		[[Subgroup]]: 2.3.5
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	{{Mapping\|legend=1\| 1 2 12 \| 0 -3 -70 }}		{{Mapping\|legend=1\| 1 2 12 \| 0 -3 -70 }}
			: mapping generators: ~2, ~{{monzo\| -34 23 -1 }}

	[[Optimal tuning]]s:		[[Optimal tuning]]s:
	* [[~~CTE~~]]: ~2 = ~~1200~~.~~000~~{{c}}, ~{{monzo\| -34 23 -1 }} = 165.~~910~~{{c}}		* [[WE]]: ~2 = 1199.9008{{c}}, ~{{monzo\| -34 23 -1 }} = 165.8930{{c}}
	* [[~~POTE~~]]: ~2 = 1200.~~000~~{{c}}, ~{{monzo\| -34 23 -1 }} = 165.~~907~~{{c}}		: [[error map]]: {{val\| -0.099 +0.168 -0.015 }}
			* [[CWE]]: ~2 = 1200.0000{{c}}, ~{{monzo\| -34 23 -1 }} = 165.9079{{c}}
			: error map: {{val\| 0.000 +0.321 +0.130 }}

	{{Optimal ET sequence\|legend=1\| 94, 217, 528, 745, 1273 }}		{{Optimal ET sequence\|legend=1\| 94, 217, 528, 745, 1273, 2018b }}

	[[Badness]] (Sintel): 66.9		[[Badness]] (Sintel): 66.9

2026-03-31T13:37:43Z

Move 5-limit quasithird here

← Older revision		Revision as of 13:37, 31 March 2026
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	[[Badness]] (Sintel): 1.93		[[Badness]] (Sintel): 1.93

			== Quasithird ==
			: ''For extensions, see [[Ragismic microtemperaments #Quasithird]].''

			[[Subgroup]]: 2.3.5

			[[Comma list]]: {{monzo\| 55 -64 20 }}

			{{Mapping\|legend=1\| 4 0 -11 \| 0 5 16 }}
			: mapping generators: ~51200000/43046721, ~1594323/1280000

			[[Optimal tuning]]s:
			* [[WE]]: ~51200000/43046721 = 299.9990{{c}}, ~1594323/1280000 = 380.3934{{c}}
			: [[error map]]: {{val\| -0.004 +0.012 -0.008 }}
			* [[CWE]]: ~51200000/43046721 = 300.0000{{c}}, ~1594323/1280000 = 380.3944{{c}}
			: error map: {{val\| 0.000 +0.017 -0.004 }}

			{{Optimal ET sequence\|legend=1\| 60, 104c, 164, 224, 388, 612, 1612, 2224, 2836, 6284, 9120, 15404 }}

			[[Badness]] (Sintel): 2.33

	== Supersharp ==		== Supersharp ==

2026-03-16T11:48:47Z

- hogzilla, stump, unsmate, counterhanson, and countermeantone (addressed in the equivalence continuum of 19et)

@@ Line 104: / Line 104: @@
 [[Badness]] (Sintel): 4.70
 == Dodifo ==
@@ Line 345: / Line 328: @@
 [[Badness]] (Sintel): 7.20
 == Nessafof ==
@@ Line 467: / Line 433: @@
 [[Badness]] (Sintel): 8.45
 == Tritonic ==
@@ Line 519: / Line 470: @@
 Scales (Scala files): [[wizard22]]
 == Merman ==
@@ Line 553: / Line 487: @@
 [[Badness]] (Sintel): 10.6
 == Nusecond ==

2026-03-16T10:20:27Z

Units

2026-03-16T09:57:01Z

Thuja: + see also

← Older revision		Revision as of 09:57, 16 March 2026
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	== Thuja ==		== Thuja ==
	: ''For extensions, see [[Buzzardsmic clan #Thuja]].''		: ''For extensions, see [[Buzzardsmic clan #Thuja]].''
			{{See also\| Hypovishnuzma }}

	[[Subgroup]]: 2.3.5		[[Subgroup]]: 2.3.5

2026-02-15T14:33:47Z

This page should precede fractional-octave temps

← Older revision		Revision as of 14:33, 15 February 2026
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	* Individual [[temperament families and clans]]		* Individual [[temperament families and clans]]
	* Individual [[equivalence continuum\|equivalence continua]]		* Individual [[equivalence continuum\|equivalence continua]]
	* [[Fractional-octave temperaments]]
	* [[Very low accuracy temperaments]]		* [[Very low accuracy temperaments]]
	* [[Very high accuracy temperaments]]		* [[Very high accuracy temperaments]]

2026-02-06T12:25:14Z

Mowgli moved

← Older revision		Revision as of 12:25, 6 February 2026
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	[[Badness]] (Sintel): 14.8		[[Badness]] (Sintel): 14.8

	~~== Mowgli ==~~
	~~: ''For extensions, see [[Hemimean clan #Mowglic]].''~~

	~~[[Subgroup]]: 2.3.5~~

	~~[[Comma list]]: 31381059609/30517578125~~

	~~{{Mapping\|legend=1\| 1 0 0 \| 0 15 22 }}~~

	~~[[Optimal tuning]]s:~~
	* [[CTE]] and [[POTE]]: ~2 = 1200.000, ~27/25 = 126.724

	~~{{Optimal ET sequence\|legend=1\| 19, 85c, 104c, 123, 142, 161, 303 }}~~

	~~[[Badness]] (Sintel): 15.3~~

	== Septimin ==		== Septimin ==

2026-01-21T22:33:02Z

← Older revision		Revision as of 22:33, 21 January 2026
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	[[Badness]] (Sintel): 52.3		[[Badness]] (Sintel): 52.3

	~~== Triskaidekic ==~~
	~~: ''For extensions, see [[Orwellismic temperaments #Triskaidekic]].''~~

	~~[[Subgroup]]: 2.3.5~~

	~~[[Comma list]]: 1220703125/1073741824~~

	~~{{Mapping\|legend=1\| 13 0 30 \| 0 1 0 }}~~

	~~[[Optimal tuning]]s:~~
	* [[CTE]]: ~128/125 = 92.308, ~3/2 = 701.955
	* [[POTE]]: ~128/125 = 92.308, ~3/2 = 696.142

	~~{{Optimal ET sequence\|legend=1\| 13, 26, 91cc }}~~

	~~[[Badness]] (Sintel): 52.6~~

	== Satin ==		== Satin ==

2026-01-21T22:14:12Z

← Older revision		Revision as of 22:14, 21 January 2026
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	[[Badness]] (Sintel): 16.2		[[Badness]] (Sintel): 16.2

			== Anthoine ==
			: ''For extensions, see [[Buzzardsmic clan #Anthoine]].''

			[[Subgroup]]: 2.3.5

			[[Comma list]]: 286102294921875/281474976710656

			{{Mapping\|legend=1\| 1 8 2 \| 0 -20 1 }}

			[[Optimal tuning]]s:
			* [[WE]]: ~2 = 1200.303, ~5/4 = 385.024
			* [[CWE]]: ~2 = 1200.000, ~5/4 = 384.920

			{{Optimal ET sequence\|legend=1\| 25, 28, 53 }}

			[[Badness]] (Sintel): 16.5

	== Sentinel ==		== Sentinel ==

2025-11-27T12:24:17Z

← Older revision		Revision as of 12:24, 27 November 2025
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	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	~~[[Category:Pages with mostly numerical content]]~~