Miscellaneous 5-limit temperaments - Revision history

FloraC: Move aluminium, tridecatonic, and triskaidekic here

2026-07-21T03:48:42Z

Move aluminium, tridecatonic, and triskaidekic here

@@ Line 89: / Line 89: @@
 [[Badness]] (Sintel): 2.88
 == Avila ==
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 Scales (Scala files): [[wizard22]]
 == Merman ==
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 [[Badness]] (Sintel): 52.3
 == Satin ==

2026-07-14T14:15:08Z

Text replacement - "octave" to "octave"

← Older revision		Revision as of 14:15, 14 July 2026
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	: ''For extensions, see [[Porwell temperaments #Hendecatonic]] and [[Marvel temperaments #Hendeca]].''		: ''For extensions, see [[Porwell temperaments #Hendecatonic]] and [[Marvel temperaments #Hendeca]].''

	The 5-limit version of hendecatonic simply equates a stack of eleven [[16/15]]'s with the [[~~2/1\|~~octave]].		The 5-limit version of hendecatonic simply equates a stack of eleven [[16/15]]'s with the [[octave]].

	[[Subgroup]]: 2.3.5		[[Subgroup]]: 2.3.5
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	: ''For extensions, see [[Keemic temperaments #Undeka]].''		: ''For extensions, see [[Keemic temperaments #Undeka]].''

	Undeka has a period of 1/11 octave, like [[#Hendecatonic\|hendecatonic]], but this temperament equates a stack of eleven 6/5's and three [[~~2/1\|~~octave]]s, so that three periods represent [[6/5]].		Undeka has a period of 1/11 octave, like [[#Hendecatonic\|hendecatonic]], but this temperament equates a stack of eleven 6/5's and three [[octave]]s, so that three periods represent [[6/5]].

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

2026-07-05T10:54:42Z

Move hendecatonic, undeka, and elven here

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 [[Badness]] (Sintel): 10.6
 == Nusecond ==
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 [[Badness]] (Sintel): 17.0
 == Kumonga ==
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 [[Badness]] (Sintel): 203
 == References ==
 [[Category:Temperament collections]]

2026-07-05T07:42:02Z

Neon: + see also

← Older revision		Revision as of 07:42, 5 July 2026
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	== Neon ==		== Neon ==
	: For extensions, see [[Ragismic microtemperaments #Deca]], [[Landscape microtemperaments #Zinc]], and [[20th-octave temperaments #Calcium]].''		: ''For extensions, see [[Ragismic microtemperaments #Deca]], [[Landscape microtemperaments #Zinc]], and [[20th-octave temperaments #Calcium]].''
			{{See also\| Neon comma }}

	Neon tempers out {{monzo\| 21 60 -50 }} in the 5-limit, equating [[3125/2916]] with one step of [[10edo]]. It was named by [[Eliora]] in 2023 after the 10th element.		Neon tempers out {{monzo\| 21 60 -50 }} in the 5-limit, equating [[3125/2916]] with one step of [[10edo]]. It was named by [[Eliora]] in 2023 after the 10th element.

2026-07-05T07:37:15Z

Move neon here

← Older revision		Revision as of 07:37, 5 July 2026
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	[[Badness]] (Sintel): 4.70		[[Badness]] (Sintel): 4.70

			== Neon ==
			: For extensions, see [[Ragismic microtemperaments #Deca]], [[Landscape microtemperaments #Zinc]], and [[20th-octave temperaments #Calcium]].''

			Neon tempers out {{monzo\| 21 60 -50 }} in the 5-limit, equating [[3125/2916]] with one step of [[10edo]]. It was named by [[Eliora]] in 2023 after the 10th element.

			[[Subgroup]]: 2.3.5

			[[Comma list]]: {{monzo\| 21 60 -50 }}

			{{Mapping\|legend=1\| 10 4 9 \| 0 5 6 }}
			: mapping generators: ~3125/2916, {{monzo\| 10 29 -24 }}

			[[Optimal tuning]]s:
			* [[WE]]: ~3125/2916 = 119.9999{{c}}, {{monzo\| 10 29 -24 }} = 284.3890{{c}}
			: [[error map]]: {{val\| -0.001 -0.011 +0.019 }}
			* [[CWE]]: ~3125/2916 = 120.0000{{c}}, {{monzo\| 10 29 -24 }} = 284.3891{{c}}
			: error map: {{val\| 0.000 -0.010 +0.021 }}

			{{Optimal ET sequence\|legend=1\| 80, 190, 270, 460, 730, 1730, 2460, 3190, 5650 }}

			[[Badness]] (Sintel): 4.85

	== Dodifo ==		== Dodifo ==

2026-07-03T16:49:44Z

Move 5-limit octoid here

← Older revision		Revision as of 16:49, 3 July 2026
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	[[Badness]] (Sintel): 6.65		[[Badness]] (Sintel): 6.65

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

			[[Subgroup]]: 2.3.5

			[[Comma list]]: {{monzo\| -5 -32 24 }}

			{{Mapping\|legend=1\| 8 1 3 \| 0 3 4 }}
			: Mapping generators: ~2125764/1953125, ~4374/3125

			[[Optimal tuning]]s:
			* [[WE]]: ~2125764/1953125 = 150.001{{c}}, ~4374/3125 = 584.027{{c}}
			* [[CWE]]: ~2125764/1953125 = 150.000{{c}}, ~4374/3125 = 584.025{{c}}

			{{Optimal ET sequence\|legend=1\| 8, 56bcc, 64c, 72, 152, 224, 376, 976 }}

			[[Badness]] (Sintel): 6.69

	== Kangaroo ==		== Kangaroo ==

2026-06-29T04:17:17Z

Move 5-limit ennealimmal here

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 * [[Very low accuracy temperaments]]
 * [[Very high accuracy temperaments]]
 == Unidecmic ==

2026-06-25T11:21:41Z

Update

← Older revision		Revision as of 11:21, 25 June 2026
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	== Pentadecal ==		== Pentadecal ==
	: ''For extensions, see [[~~Cloudy clan~~ #Pentadecal]].''		: ''For extensions, see [[Keemic temperaments #Pentadecal]].''

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

2026-06-22T09:53:09Z

+ sesesix

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 == Lafa ==
-This temperament was named by [[Petr Pařízek]] in 2011, referring to the characteristic that stacking 12 generators makes 6/1 – "l" for 12, "f" for 6<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>. Its ploidacot is therefore beta-dodecacot.
+This temperament was named by [[Petr Pařízek]] in 2011, referring to the characteristic that stacking 12 generators makes 6/1 – "l" for 12, "f" for 6<ref name="petr's long post">[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group | ''Suggested names for the unclasified temperaments'']</ref>. Its ploidacot is therefore beta-dodecacot.
 [[Subgroup]]: 2.3.5
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 [[Badness]] (Sintel): 12.0
 == Leapday ==

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