Miscellaneous 5-limit temperaments - Revision history

CompactStar: /* Kangaroo */

2026-10-14T22:51:50Z

Kangaroo

← Older revision		Revision as of 22:51, 14 October 2026
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	== Kangaroo ==		== Kangaroo ==
	: ''For extensions, see [[Trienstonic clan #Parakangaroo]].''		: ''For extensions, see [[Trienstonic clan #Parakangaroo]] and [[Archytas clan#Kangaroo]].''

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

2026-09-15T09:10:45Z

Octoid: update

← Older revision		Revision as of 09:10, 15 September 2026
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	== Octoid ==		== Octoid ==
	: ''For extensions, see [[~~Ragismic microtemperaments~~ #Octoid]].''		: ''For extensions, see [[Stearnsmic clan #Octoid]].''

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

2026-09-15T09:10:13Z

Wizard: update

← Older revision		Revision as of 09:10, 15 September 2026
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	== Wizard ==		== Wizard ==
	: ''For extensions, see [[~~Marvel temperaments~~ #Wizard]].''		: ''For extensions, see [[Stearnsmic clan #Wizard]].''

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

2026-09-14T08:44:38Z

Vinegar: - non-existent link

← Older revision		Revision as of 08:44, 14 September 2026
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	== Vinegar ==		== Vinegar ==
	~~: ''For extensions, see [[Starling temperaments #Vinegar]].''~~

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

2026-08-08T10:07:52Z

Leapday: update

← Older revision		Revision as of 10:07, 8 August 2026
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	== Leapday ==		== Leapday ==
	: ''For extensions, see [[~~Hemifamity~~ temperaments #Leapday]] and [[Porwell temperaments #Polypyth]].''		: ''For extensions, see [[Sengic temperaments #Leapday]] and [[Porwell temperaments #Polypyth]].''

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

2026-08-06T21:37:42Z

Aluminium

← Older revision		Revision as of 21:37, 6 August 2026
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	[[Badness]] (Sintel): 2.88		[[Badness]] (Sintel): 2.88

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

	~~Aluminium tempers out {{monzo\| 92 -39 -13 }} in the 5-limit, and sets [[135/128]] to 1/13 of an [[octave]].~~

	~~[[Subgroup]]: 2.3.5~~

	~~[[Comma list]]: {{monzo\| 92 -39 -13 }}~~

	~~{{Mapping\|legend=1\| 13 0 92 \| 0 1 -3 }}~~
	~~: mapping generators: ~135/128, ~3~~

	~~[[Optimal tuning]]s:~~
	* [[WE]]: ~135/128 = 92.3068{{c}}, ~3/2 = 701.9791{{c}}
	~~: [[error map]]: {{val\| -0.012 +0.012 +0.009 }}~~
	* [[CWE]]: ~135/128 = 92.3077{{c}}, ~3/2 = 701.9897{{c}}
	~~: error map: {{val\| 0.000 +0.032 +0.033 }}~~

	~~{{Optimal ET sequence\|legend=1\| 65, 299, 364, 429, 494, 559, 1053, 1612, 5889, 7501, 9113, 10725, 23062bc, 33787bcc, 44512bbcc }}~~

	~~[[Badness]] (Sintel): 2.89~~

	== Avila ==		== Avila ==

2026-08-01T19:07:02Z

neon is of importance to 10edo

← Older revision		Revision as of 19:07, 1 August 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]].''~~
	~~{{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.~~

	~~[[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 ==

2026-07-22T19:09:43Z

Shibboleth

← Older revision		Revision as of 19:09, 22 July 2026
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	== Shibboleth ==		== Shibboleth ==
	: ''For extensions, see [[Gamelismic clan #Superkleismic]]~~, [[Starling temperaments #Gilead]],~~ and [[Sensamagic clan #Superthird]].''		: ''For extensions, see [[Gamelismic clan #Superkleismic]] and [[Sensamagic clan #Superthird]].''

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

2026-07-21T03:48:42Z

Move aluminium, tridecatonic, and triskaidekic here

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 [[Badness]] (Sintel): 2.88
 == Avila ==
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 Scales (Scala files): [[wizard22]]
 == Merman ==
@@ Line 1,282: / Line 1,326: @@
 [[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