Jubilismic clan - Revision history

FloraC: /* Jubilic */ + links to antitonic, charon, and codex

2026-10-19T12:42:20Z

Jubilic: + links to antitonic, charon, and codex

← Older revision		Revision as of 12:42, 19 October 2026
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	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:
			* ''[[Antitonic]]'' (+9/8) → [[Very low accuracy temperaments #Antitonic\|Very low accuracy temperaments]]
			* ''[[Charon]]'' (+10/9) → [[Very low accuracy temperaments #Charon\|Very low accuracy temperaments]]
			* ''[[Codex (temperament)\|Codex]]'' (+27/25) → [[Very low accuracy temperaments #Codex\|Very low accuracy temperaments]]
	* [[Decimal]] (+25/24) → [[Dicot family #Decimal\|Dicot family]]		* [[Decimal]] (+25/24) → [[Dicot family #Decimal\|Dicot family]]
	* [[Diminished (temperament)\|Diminished]] (+36/35) → [[Diminished family #Septimal diminished\|Diminished family]]		* [[Diminished (temperament)\|Diminished]] (+36/35) → [[Diminished family #Septimal diminished\|Diminished family]]

FloraC: Text replacement - "{{Mapping|legend=2| " to "{{Mapping|legend=3| "

2026-09-30T17:39:08Z

Text replacement - "{{Mapping|legend=2| " to "{{Mapping|legend=3| "

← Older revision		Revision as of 17:39, 30 September 2026
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	[[Comma list]]: 50/49		[[Comma list]]: 50/49

	{{Mapping\|legend=2\| 2 0 1 \| 0 1 1 }}		{{Mapping\|legend=3\| 2 0 1 \| 0 1 1 }}

	{{Mapping\|legend=5\| 2 0 0 1 \| 0 0 1 1 }}		{{Mapping\|legend=5\| 2 0 0 1 \| 0 0 1 1 }}
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	[[Comma list]]: 50/49, 64/63		[[Comma list]]: 50/49, 64/63

	{{Mapping\|legend=2\| 2 0 11 12 \| 0 1 -1 -1 }}		{{Mapping\|legend=3\| 2 0 11 12 \| 0 1 -1 -1 }}

	{{Mapping\|legend=5\| 2 0 11 12 \| 0 1/2 -1 -1 }}		{{Mapping\|legend=5\| 2 0 11 12 \| 0 1/2 -1 -1 }}

FloraC: Text replacement - "{{Mapping|legend=3| " to "{{Mapping|legend=5| "

2026-09-30T17:34:00Z

Text replacement - "{{Mapping|legend=3| " to "{{Mapping|legend=5| "

← Older revision		Revision as of 17:34, 30 September 2026
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	{{Mapping\|legend=2\| 2 0 1 \| 0 1 1 }}		{{Mapping\|legend=2\| 2 0 1 \| 0 1 1 }}

	{{Mapping\|legend=3\| 2 0 0 1 \| 0 0 1 1 }}		{{Mapping\|legend=5\| 2 0 0 1 \| 0 0 1 1 }}

	: mapping generators: ~7/5, ~5		: mapping generators: ~7/5, ~5
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	{{Mapping\|legend=2\| 2 0 11 12 \| 0 1 -1 -1 }}		{{Mapping\|legend=2\| 2 0 11 12 \| 0 1 -1 -1 }}

	{{Mapping\|legend=3\| 2 0 11 12 \| 0 1/2 -1 -1 }}		{{Mapping\|legend=5\| 2 0 11 12 \| 0 1/2 -1 -1 }}

	: mapping generators: ~7/5, ~9		: mapping generators: ~7/5, ~9

FloraC: Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "

2026-09-24T12:32:42Z

Text replacement - "Mapping: {{mapping| " to "{{Mapping|legend=0| "

← Older revision		Revision as of 12:32, 24 September 2026
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	Comma list: 45/44, 50/49, 385/384		Comma list: 45/44, 50/49, 385/384

	~~Mapping:~~ {{~~mapping~~\| 2 2 5 6 5 \| 0 3 -1 -1 5 }}		{{Mapping\|legend=0\| 2 2 5 6 5 \| 0 3 -1 -1 5 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 45/44, 50/49, 65/64, 78/77		Comma list: 45/44, 50/49, 65/64, 78/77

	~~Mapping:~~ {{~~mapping~~\| 2 2 5 6 5 7 \| 0 3 -1 -1 5 1 }}		{{Mapping\|legend=0\| 2 2 5 6 5 7 \| 0 3 -1 -1 5 1 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 50/49, 121/120, 176/175		Comma list: 50/49, 121/120, 176/175

	~~Mapping:~~ {{~~mapping~~\| 2 0 4 5 5 \| 0 5 1 1 3 }}		{{Mapping\|legend=0\| 2 0 4 5 5 \| 0 5 1 1 3 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 50/49, 65/64, 78/77, 121/120		Comma list: 50/49, 65/64, 78/77, 121/120

	~~Mapping:~~ {{~~mapping~~\| 2 0 4 5 5 8 \| 0 5 1 1 3 -1 }}		{{Mapping\|legend=0\| 2 0 4 5 5 8 \| 0 5 1 1 3 -1 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 50/49, 66/65, 105/104, 121/120		Comma list: 50/49, 66/65, 105/104, 121/120

	~~Mapping:~~ {{~~mapping~~\| 2 0 4 5 5 3 \| 0 5 1 1 3 7 }}		{{Mapping\|legend=0\| 2 0 4 5 5 3 \| 0 5 1 1 3 7 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 16/15, 22/21, 50/49		Comma list: 16/15, 22/21, 50/49

	~~Mapping:~~ {{~~mapping~~\| 2 0 8 9 7 \| 0 1 -1 -1 0 }}		{{Mapping\|legend=0\| 2 0 8 9 7 \| 0 1 -1 -1 0 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 50/49, 99/98, 385/384		Comma list: 50/49, 99/98, 385/384

	~~Mapping:~~ {{~~mapping~~\| 2 1 3 4 8 \| 0 4 3 3 -2 }}		{{Mapping\|legend=0\| 2 1 3 4 8 \| 0 4 3 3 -2 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 50/49, 55/54, 176/175		Comma list: 50/49, 55/54, 176/175

	~~Mapping:~~ {{~~mapping~~\| 2 1 3 4 2 \| 0 4 3 3 9 }}		{{Mapping\|legend=0\| 2 1 3 4 2 \| 0 4 3 3 9 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 50/49, 55/54, 65/63, 176/175		Comma list: 50/49, 55/54, 65/63, 176/175

	~~Mapping:~~ {{~~mapping~~\| 2 1 3 4 2 3 \| 0 4 3 3 9 8 }}		{{Mapping\|legend=0\| 2 1 3 4 2 3 \| 0 4 3 3 9 8 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 45/44, 50/49, 875/864		Comma list: 45/44, 50/49, 875/864

	~~Mapping:~~ {{~~mapping~~\| 2 1 3 4 1 \| 0 4 3 3 11 }}		{{Mapping\|legend=0\| 2 1 3 4 1 \| 0 4 3 3 11 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 45/44, 50/49, 78/77, 325/324		Comma list: 45/44, 50/49, 78/77, 325/324

	~~Mapping:~~ {{~~mapping~~\| 2 1 3 4 1 2 \| 0 4 3 3 11 10 }}		{{Mapping\|legend=0\| 2 1 3 4 1 2 \| 0 4 3 3 11 10 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 45/44, 50/49, 1344/1331		Comma list: 45/44, 50/49, 1344/1331

	~~Mapping:~~ {{~~mapping~~\| 2 1 10 11 8 \| 0 2 -5 -5 -1 }}		{{Mapping\|legend=0\| 2 1 10 11 8 \| 0 2 -5 -5 -1 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 45/44, 50/49, 78/77, 1053/1024		Comma list: 45/44, 50/49, 78/77, 1053/1024

	~~Mapping:~~ {{~~mapping~~\| 2 1 10 11 8 16 \| 0 2 -5 -5 -1 -8 }}		{{Mapping\|legend=0\| 2 1 10 11 8 16 \| 0 2 -5 -5 -1 -8 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 50/49, 99/98, 2662/2625		Comma list: 50/49, 99/98, 2662/2625

	~~Mapping:~~ {{~~mapping~~\| 2 1 -3 -2 -4 \| 0 2 7 7 10 }}		{{Mapping\|legend=0\| 2 1 -3 -2 -4 \| 0 2 7 7 10 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 50/49, 65/63, 99/98, 968/945		Comma list: 50/49, 65/63, 99/98, 968/945

	~~Mapping:~~ {{~~mapping~~\| 2 1 -3 -2 -4 3 \| 0 2 7 7 10 4 }}		{{Mapping\|legend=0\| 2 1 -3 -2 -4 3 \| 0 2 7 7 10 4 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 50/49, 121/120, 896/891		Comma list: 50/49, 121/120, 896/891

	~~Mapping:~~ {{~~mapping~~\| 2 0 -24 -23 -9 \| 0 1 9 9 5 }}		{{Mapping\|legend=0\| 2 0 -24 -23 -9 \| 0 1 9 9 5 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 50/49, 385/384, 1331/1323		Comma list: 50/49, 385/384, 1331/1323

	~~Mapping:~~ {{~~mapping~~\| 16 0 37 45 30 \| 0 1 0 0 1 }}		{{Mapping\|legend=0\| 16 0 37 45 30 \| 0 1 0 0 1 }}

	Optimal tunings:		Optimal tunings:

FloraC: /* Jubilic */ + link to vishy

2026-09-17T06:33:42Z

Jubilic: + link to vishy

← Older revision		Revision as of 06:33, 17 September 2026
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	Lemba finds the perfect fifth three steps away by tempering out [[1029/1024]]. Astrology, five steps away by tempering out [[3125/3072]]. Decimal, two steps away by tempering out [[25/24]] and [[49/48]]. Walid merges ~5/4 and ~4/3 by tempering out [[16/15]].		Lemba finds the perfect fifth three steps away by tempering out [[1029/1024]]. Astrology, five steps away by tempering out [[3125/3072]]. Decimal, two steps away by tempering out [[25/24]] and [[49/48]]. Walid merges ~5/4 and ~4/3 by tempering out [[16/15]].

	Diminished adds 36/35 and splits the ~7/5 period in a further two. Pajara adds 64/63 and slices the ~7/4 in two, with antikythera being every other step thereof. Dubbla adds 78125/73728 and slices the ~5/4 in two. Injera adds 81/80 and slices the ~5/1 in four. Octokaidecal adds 28/27. Bipelog adds 135/128. Those splits the generator into three in various ways. Hexe adds 128/125 and slices the period in three. Hedgehog adds 250/243. Elvis adds 8505/8192. Those slice the generator in five. Comic adds 2240/2187. Crepuscular adds 4375/4374. Those slice the generator in seven. Byhearted adds 19683/19208. Bipyth adds 20480/19683. Those slice the generator in nine.		Diminished adds 36/35 and splits the ~7/5 period in a further two. Pajara adds 64/63 and slices the ~7/4 in two, with antikythera being every other step thereof. Dubbla adds 78125/73728 and slices the ~5/4 in two. Injera adds 81/80 and slices the ~5/1 in four. Octokaidecal adds 28/27. Bipelog adds 135/128. Vishy adds 110592/109375. Those splits the generator into three in various ways. Hexe adds 128/125 and slices the period in three. Hedgehog adds 250/243. Elvis adds 8505/8192. Those slice the generator in five. Comic adds 2240/2187. Crepuscular adds 4375/4374. Those slice the generator in seven. Byhearted adds 19683/19208. Bipyth adds 20480/19683. Those slice the generator in nine.

	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:
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	* ''[[Octokaidecal]]'' (+28/27) → [[Trienstonic clan #Octokaidecal\|Trienstonic clan]]		* ''[[Octokaidecal]]'' (+28/27) → [[Trienstonic clan #Octokaidecal\|Trienstonic clan]]
	* ''[[Bipelog]]'' (+135/128) → [[Mavila #Bipelog\|Mavila family]]		* ''[[Bipelog]]'' (+135/128) → [[Mavila #Bipelog\|Mavila family]]
			* ''[[Vishy]]'' (+110592/109375) → [[Vishnu family #Vishy\|Vishnu family]]
	* ''[[Hexe]]'' (+128/125) → [[Augmented family #Hexe\|Augmented family]]		* ''[[Hexe]]'' (+128/125) → [[Augmented family #Hexe\|Augmented family]]
	* ''[[Hedgehog]]'' (+245/243) → [[Stearnsmic clan #Hedgehog\|Stearnsmic clan]]		* ''[[Hedgehog]]'' (+245/243) → [[Stearnsmic clan #Hedgehog\|Stearnsmic clan]]

FloraC: /* Jubilic */ update

2026-09-15T10:02:18Z

Jubilic: update

← Older revision		Revision as of 10:02, 15 September 2026
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	* ''[[Bipelog]]'' (+135/128) → [[Mavila #Bipelog\|Mavila family]]		* ''[[Bipelog]]'' (+135/128) → [[Mavila #Bipelog\|Mavila family]]
	* ''[[Hexe]]'' (+128/125) → [[Augmented family #Hexe\|Augmented family]]		* ''[[Hexe]]'' (+128/125) → [[Augmented family #Hexe\|Augmented family]]
	* ''[[Hedgehog]]'' (+~~250~~/243) → [[~~Porcupine family~~ #Hedgehog\|~~Porcupine family~~]]		* ''[[Hedgehog]]'' (+245/243) → [[Stearnsmic clan #Hedgehog\|Stearnsmic clan]]
	* ''[[Crepuscular]]'' (+4375/4374) → [[Fifive family #Crepuscular\|Fifive family]]		* ''[[Crepuscular]]'' (+4375/4374) → [[Fifive family #Crepuscular\|Fifive family]]
	* ''[[Weasel]]'' (+19683/19208) → [[Tetracot family #Byhearted\|Tetracot family]]		* ''[[Weasel]]'' (+19683/19208) → [[Tetracot family #Byhearted\|Tetracot family]]

FloraC: Recategorize

2026-08-15T07:36:22Z

Recategorize

← Older revision		Revision as of 07:36, 15 August 2026
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	== References ==		== References ==

			[[Category:Jubilismic clan\| ]] <!-- main article -->
	[[Category:Temperament clans]]		[[Category:Temperament clans]]
	[[Category:~~Jubilismic clan\| ]] <!~~-~~- main article -->~~		[[Category:Catalogs of rank-2 temperaments]]
	~~[[Category:Rank~~ 2]]

FloraC: /* Subgroup extensions */ correct source of name

2026-03-14T10:24:43Z

Subgroup extensions: correct source of name

← Older revision		Revision as of 10:24, 14 March 2026
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	== Subgroup extensions ==		== Subgroup extensions ==
	=== Antikythera (2.9.5.7) ===		=== Antikythera (2.9.5.7) ===
	~~Named~~ by [[~~Gene Ward Smith~~]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101481.html Yahoo! Tuning Group \| ''Antikythera'']</ref>~~, antikythera is every other step of [[pajara]]~~.		Antikythera is every other step of [[pajara]]. It was allegedly named by [[Keenan Pepper]] in 2011 after the {{w\|Antikythera mechanism}} for its association with [[astrology]] and [[machine]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101481.html Yahoo! Tuning Group \| ''Antikythera'']</ref>.

	[[Subgroup]]: 2.9.5.7		[[Subgroup]]: 2.9.5.7

FloraC: /* Doublewide */ expand

2026-02-25T06:14:32Z

Doublewide: expand

← Older revision		Revision as of 06:14, 25 February 2026
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	: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Doublewide]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Doublewide]].''

	Doublewide is generated by a sharply tuned ~6/5 minor third, four of which and a semi-octave period give the 3rd harmonic~~. It may be described as the {{nowrap\| 22 & 26 }} temperament;~~ its ploidacot is diploid alpha-tetracot. An 11-limit extension is immediately available by identifying two generator steps as ~16/11. [[48edo]] makes for an excellent tuning.		Doublewide tempers out not only the keema, [[875/864]], but the orwellisma, [[1728/1715]], and may be described as the {{nowrap\| 22 & 26 }} temperament. It is the unique temperament that equates the classical chroma ([[25/24]]), the large septimal diesis ([[49/48]]), and the interval between the classical and septimal thirds ([[36/35]]). It is generated by a sharply tuned [[~]][[6/5]] minor third, four of which and a [[semi-octave]] period give the [[3/1\|3rd]] [[harmonic]], so its [[ploidacot]] is diploid alpha-tetracot. An [[11-limit]] extension is immediately available by identifying two generator steps as ~[[16/11]]. [[48edo]] makes for an excellent tuning.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

FloraC: /* Doublewide */

2026-02-25T06:07:18Z

Doublewide

← Older revision		Revision as of 06:07, 25 February 2026
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	== Doublewide ==		== Doublewide ==
	: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Doublewide ~~(5-limit)~~]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Doublewide]].''

	Doublewide is generated by a sharply tuned ~6/5 minor third, four of which and a semi-octave period give the 3rd harmonic. It may be described as the {{nowrap\| 22 & 26 }} temperament; its ploidacot is diploid alpha-tetracot. An 11-limit extension is immediately available by identifying two generator steps as ~16/11. [[48edo]] makes for an excellent tuning.		Doublewide is generated by a sharply tuned ~6/5 minor third, four of which and a semi-octave period give the 3rd harmonic. It may be described as the {{nowrap\| 22 & 26 }} temperament; its ploidacot is diploid alpha-tetracot. An 11-limit extension is immediately available by identifying two generator steps as ~16/11. [[48edo]] makes for an excellent tuning.

← Older revision		Revision as of 12:42, 19 October 2026
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	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:
			* ''[[Antitonic]]'' (+9/8) → [[Very low accuracy temperaments #Antitonic\|Very low accuracy temperaments]]
			* ''[[Charon]]'' (+10/9) → [[Very low accuracy temperaments #Charon\|Very low accuracy temperaments]]
			* ''[[Codex (temperament)\|Codex]]'' (+27/25) → [[Very low accuracy temperaments #Codex\|Very low accuracy temperaments]]
	* [[Decimal]] (+25/24) → [[Dicot family #Decimal\|Dicot family]]		* [[Decimal]] (+25/24) → [[Dicot family #Decimal\|Dicot family]]
	* [[Diminished (temperament)\|Diminished]] (+36/35) → [[Diminished family #Septimal diminished\|Diminished family]]		* [[Diminished (temperament)\|Diminished]] (+36/35) → [[Diminished family #Septimal diminished\|Diminished family]]

← Older revision		Revision as of 10:02, 15 September 2026
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	* ''[[Bipelog]]'' (+135/128) → [[Mavila #Bipelog\|Mavila family]]		* ''[[Bipelog]]'' (+135/128) → [[Mavila #Bipelog\|Mavila family]]
	* ''[[Hexe]]'' (+128/125) → [[Augmented family #Hexe\|Augmented family]]		* ''[[Hexe]]'' (+128/125) → [[Augmented family #Hexe\|Augmented family]]
	* ''[[Hedgehog]]'' (+~~250~~/243) → [[~~Porcupine family~~ #Hedgehog\|~~Porcupine family~~]]		* ''[[Hedgehog]]'' (+245/243) → [[Stearnsmic clan #Hedgehog\|Stearnsmic clan]]
	* ''[[Crepuscular]]'' (+4375/4374) → [[Fifive family #Crepuscular\|Fifive family]]		* ''[[Crepuscular]]'' (+4375/4374) → [[Fifive family #Crepuscular\|Fifive family]]
	* ''[[Weasel]]'' (+19683/19208) → [[Tetracot family #Byhearted\|Tetracot family]]		* ''[[Weasel]]'' (+19683/19208) → [[Tetracot family #Byhearted\|Tetracot family]]