Breed family - Revision history

FloraC: Restore the category of the corresponding temp

2026-10-19T12:01:33Z

Restore the category of the corresponding temp

← Older revision		Revision as of 12:01, 19 October 2026
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	[[Category:Breed family\| ]] <!-- main article -->		[[Category:Breed family\| ]] <!-- main article -->
			[[Category:Breed\| ]] <!-- key article -->
	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:Catalogs of rank-3 temperaments]]		[[Category:Catalogs of rank-3 temperaments]]

FloraC: Text replacement - "Subgroup-val mapping: {{mapping| " to "{{Mapping|legend=2| "

2026-09-30T17:44:22Z

Text replacement - "Subgroup-val mapping: {{mapping| " to "{{Mapping|legend=2| "

← Older revision		Revision as of 17:44, 30 September 2026
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	Comma list: 1216/1215, 1729/1728, 2080/2079, 2401/2400		Comma list: 1216/1215, 1729/1728, 2080/2079, 2401/2400

	~~Subgroup-val mapping:~~ {{~~mapping~~\| 1 1 1 2 8 7 0 \| 0 2 1 1 -12 -6 11 \| 0 0 2 1 -2 -3 2 }}		{{Mapping\|legend=2\| 1 1 1 2 8 7 0 \| 0 2 1 1 -12 -6 11 \| 0 0 2 1 -2 -3 2 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 1540/1539, 2080/2079, 2401/2400, 3025/3024		Comma list: 1540/1539, 2080/2079, 2401/2400, 3025/3024

	~~Subgroup-val mapping:~~ {{~~mapping~~\| 1 1 -1 1 5 5 3 \| 0 2 3 2 1 6 -2 \| 0 0 4 2 -3 -5 3 }}		{{Mapping\|legend=2\| 1 1 -1 1 5 5 3 \| 0 2 3 2 1 6 -2 \| 0 0 4 2 -3 -5 3 }}

	Optimal tunings:		Optimal tunings:

FloraC: - complexity spectra (relocated to the main article for it)

2026-09-26T13:35:44Z

- complexity spectra (relocated to the main article for it)

← Older revision		Revision as of 13:35, 26 September 2026
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	Badness (Sintel): 0.415		Badness (Sintel): 0.415

	~~Complexity spectrum: 15/13, 7/5, 8/7, 7/6, 4/3, 15/14, 5/4, 18/13, 13/12, 14/13, 13/10, 6/5, 16/15, 11/10, 9/7, 9/8, 16/13, 10/9, 14/11, 11/8, 15/11, 12/11, 13/11, 11/9~~

	Projection pairs: <code>2 19600/9801, 3 676/225, 5 10400/2079, 7 20384000/2910897, 11 19208000000000000/1750211597736459, 13 5026736/385875</code> to 10/7.200/99.26/15		Projection pairs: <code>2 19600/9801, 3 676/225, 5 10400/2079, 7 20384000/2910897, 11 19208000000000000/1750211597736459, 13 5026736/385875</code> to 10/7.200/99.26/15

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

2026-09-24T12:32:34Z

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

← Older revision		Revision as of 12:32, 24 September 2026
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	Comma list: 243/242, 364/363, 441/440		Comma list: 243/242, 364/363, 441/440

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 243/242, 364/363, 441/440, 595/594		Comma list: 243/242, 364/363, 441/440, 595/594

	~~Mapping:~~ {{~~mapping~~\| 1 1 1 2 2 1 3 \| 0 2 1 1 5 11 9 \| 0 0 2 1 0 -1 -3 }}		{{Mapping\|legend=0\| 1 1 1 2 2 1 3 \| 0 2 1 1 5 11 9 \| 0 0 2 1 0 -1 -3 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 243/242, 364/363, 441/440, 1452/1445		Comma list: 243/242, 364/363, 441/440, 1452/1445

	~~Mapping:~~ {{~~mapping~~\| 1 1 1 2 2 1 3 \| 0 4 0 1 10 23 12 \| 0 0 2 1 0 -1 -1 }}		{{Mapping\|legend=0\| 1 1 1 2 2 1 3 \| 0 4 0 1 10 23 12 \| 0 0 2 1 0 -1 -1 }}
	: Mapping generators: ~2, ~119/108, ~27/17		: Mapping generators: ~2, ~119/108, ~27/17

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	Comma list: 171/170, 243/242, 324/323, 364/363, 441/440		Comma list: 171/170, 243/242, 324/323, 364/363, 441/440

	~~Mapping:~~ {{~~mapping~~\| 1 1 1 2 2 1 3 3 \| 0 4 0 1 10 23 12 4 \| 0 0 2 1 0 -1 -1 1 }}		{{Mapping\|legend=0\| 1 1 1 2 2 1 3 3 \| 0 4 0 1 10 23 12 4 \| 0 0 2 1 0 -1 -1 1 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 243/242, 351/350, 441/440		Comma list: 243/242, 351/350, 441/440

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 144/143, 196/195, 243/242		Comma list: 144/143, 196/195, 243/242

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 243/242, 441/440, 676/675		Comma list: 243/242, 441/440, 676/675

	~~Mapping:~~ {{~~mapping~~\| 2 0 1 3 -1 -1 \| 0 2 1 1 5 4 \| 0 0 2 1 0 2 }}		{{Mapping\|legend=0\| 2 0 1 3 -1 -1 \| 0 2 1 1 5 4 \| 0 0 2 1 0 2 }}
	: mapping generators: ~55/39, ~26/15, ~10/7		: mapping generators: ~55/39, ~26/15, ~10/7

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	Comma list: 385/384, 625/624, 1375/1372		Comma list: 385/384, 625/624, 1375/1372

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 325/324, 385/384, 1375/1372		Comma list: 325/324, 385/384, 1375/1372

	~~Mapping:~~ {{~~mapping~~\| 1 1 1 2 5 4 \| 0 2 1 1 0 6 \| 0 0 2 1 -3 -4 }}		{{Mapping\|legend=0\| 1 1 1 2 5 4 \| 0 2 1 1 0 6 \| 0 0 2 1 -3 -4 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 1001/1000, 1716/1715, 4096/4095		Comma list: 1001/1000, 1716/1715, 4096/4095

	~~Mapping:~~ {{~~mapping~~\| 1 1 1 2 -3 7 \| 0 2 1 1 8 -6 \| 0 0 2 1 8 -3 }}		{{Mapping\|legend=0\| 1 1 1 2 -3 7 \| 0 2 1 1 8 -6 \| 0 0 2 1 8 -3 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 2080/2079, 2401/2400, 4096/4095		Comma list: 2080/2079, 2401/2400, 4096/4095

	~~Mapping:~~ {{~~mapping~~\| 1 1 1 2 8 7 \| 0 2 1 1 -12 -6 \| 0 0 2 1 -2 -3 }}		{{Mapping\|legend=0\| 1 1 1 2 8 7 \| 0 2 1 1 -12 -6 \| 0 0 2 1 -2 -3 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 2080/2079, 2401/2400, 10648/10647		Comma list: 2080/2079, 2401/2400, 10648/10647

	~~Mapping:~~ {{~~mapping~~\| 1 1 1 2 -1 -2 \| 0 2 1 1 17 23 \| 0 0 2 1 -1 -2 }}		{{Mapping\|legend=0\| 1 1 1 2 -1 -2 \| 0 2 1 1 17 23 \| 0 0 2 1 -1 -2 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 1216/1215, 1540/1539, 2080/2079, 2401/2400		Comma list: 1216/1215, 1540/1539, 2080/2079, 2401/2400

	~~Mapping:~~ {{~~mapping~~\| 1 1 1 2 -1 -2 0 \| 0 2 1 1 17 23 11 \| 0 0 2 1 -1 -2 2 }}		{{Mapping\|legend=0\| 1 1 1 2 -1 -2 0 \| 0 2 1 1 17 23 11 \| 0 0 2 1 -1 -2 2 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 676/675, 1001/1000, 1716/1715		Comma list: 676/675, 1001/1000, 1716/1715

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 289/288, 442/441, 561/560, 676/675		Comma list: 289/288, 442/441, 561/560, 676/675

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 2401/2400, 3025/3024, 4096/4095		Comma list: 2401/2400, 3025/3024, 4096/4095

	~~Mapping:~~ {{~~mapping~~\| 1 1 -1 1 5 10 \| 0 2 3 2 1 -9 \| 0 0 4 2 -3 -6 }}		{{Mapping\|legend=0\| 1 1 -1 1 5 10 \| 0 2 3 2 1 -9 \| 0 0 4 2 -3 -6 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 2080/2079, 2401/2400, 3025/3024		Comma list: 2080/2079, 2401/2400, 3025/3024

	~~Mapping:~~ {{~~mapping~~\| 1 1 -1 1 5 5 \| 0 2 3 2 1 6 \| 0 0 4 2 -3 -5 }}		{{Mapping\|legend=0\| 1 1 -1 1 5 5 \| 0 2 3 2 1 6 \| 0 0 4 2 -3 -5 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 1001/1000, 1716/1715, 3025/3024		Comma list: 1001/1000, 1716/1715, 3025/3024

	~~Mapping:~~ {{~~mapping~~\| 1 1 -1 1 5 -6 \| 0 2 3 2 1 6 \| 0 0 4 2 -3 13 }}		{{Mapping\|legend=0\| 1 1 -1 1 5 -6 \| 0 2 3 2 1 6 \| 0 0 4 2 -3 13 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 1001/1000, 1716/1715, 4225/4224		Comma list: 1001/1000, 1716/1715, 4225/4224

	~~Mapping:~~ {{~~mapping~~\| 1 1 -1 1 -4 3 \| 0 2 3 2 6 1 \| 0 0 6 3 14 1 }}		{{Mapping\|legend=0\| 1 1 -1 1 -4 3 \| 0 2 3 2 6 1 \| 0 0 6 3 14 1 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 1001/1000, 1716/1715, 10648/10647		Comma list: 1001/1000, 1716/1715, 10648/10647

	~~Mapping:~~ {{~~mapping~~\| 1 1 -7 -2 -7 -9 \| 0 2 3 2 4 3 \| 0 0 10 5 11 14 }}		{{Mapping\|legend=0\| 1 1 -7 -2 -7 -9 \| 0 2 3 2 4 3 \| 0 0 10 5 11 14 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 2080/2079, 2401/2400, 4375/4374		Comma list: 2080/2079, 2401/2400, 4375/4374

	~~Mapping:~~ {{~~mapping~~\| 9 1 1 12 0 -31 \| 0 2 3 2 0 5 \| 0 0 0 0 1 1 }}		{{Mapping\|legend=0\| 9 1 1 12 0 -31 \| 0 2 3 2 0 5 \| 0 0 0 0 1 1 }}

	Optimal tunings:		Optimal tunings:

FloraC: /* Agni */ - typo

2026-09-08T12:17:51Z

Agni: - typo

← Older revision		Revision as of 12:17, 8 September 2026
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	Agni tempers out [[385/384]] and [[1375/1372]], so that a stack of three 10/7 generators is identified with [[16/11]] plus an octave. [[140edo]], [[212edo]] and [[284edo]] show how it can be tuned distinctly from [[#Jove\|jove]].		Agni tempers out [[385/384]] and [[1375/1372]], so that a stack of three 10/7 generators is identified with [[16/11]] plus an octave. [[140edo]], [[212edo]] and [[284edo]] show how it can be tuned distinctly from [[#Jove\|jove]].

	This temperament suggests at least two extensions to the 13-limit: pavaka (31 & 68 & 72), named after an alias of Agni, tempers out [[625/624]]; and svaha (41 & 68 & 72), named after Agni's wife, tempers out [[325/324]]. The edos above can be used to tune both, which reduce them to [[quadritikleismic]] without much additional damage, but note pavaka is a detemperament [[benediction]] whereas svaha is a detemperament [[manna]].		This temperament suggests at least two extensions to the 13-limit: pavaka (31 & 68 & 72), named after an alias of Agni, tempers out [[625/624]]; and svaha (41 & 68 & 72), named after Agni's wife, tempers out [[325/324]]. The edos above can be used to tune both, which reduce them to [[quadritikleismic]] without much additional damage, but note pavaka is a detemperament of [[benediction]] whereas svaha is a detemperament of [[manna]].

	[[Subgroup]]: 2.3.5.7.11		[[Subgroup]]: 2.3.5.7.11

FloraC: /* Agni */ explain what this is all about

2026-09-07T10:19:13Z

Agni: explain what this is all about

← Older revision		Revision as of 10:19, 7 September 2026
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	== Agni ==		== Agni ==
			Agni tempers out [[385/384]] and [[1375/1372]], so that a stack of three 10/7 generators is identified with [[16/11]] plus an octave. [[140edo]], [[212edo]] and [[284edo]] show how it can be tuned distinctly from [[#Jove\|jove]].

			This temperament suggests at least two extensions to the 13-limit: pavaka (31 & 68 & 72), named after an alias of Agni, tempers out [[625/624]]; and svaha (41 & 68 & 72), named after Agni's wife, tempers out [[325/324]]. The edos above can be used to tune both, which reduce them to [[quadritikleismic]] without much additional damage, but note pavaka is a detemperament [[benediction]] whereas svaha is a detemperament [[manna]].

	[[Subgroup]]: 2.3.5.7.11		[[Subgroup]]: 2.3.5.7.11

FloraC: Implement the proposed changes (see talk)

2026-09-07T10:16:04Z

Implement the proposed changes (see talk)

← Older revision		Revision as of 10:16, 7 September 2026
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	: [[eigenmonzo basis\|unchanged-interval (eigenmonzo) basis]]: 2.3.11/5		: [[eigenmonzo basis\|unchanged-interval (eigenmonzo) basis]]: 2.3.11/5

	{{Optimal ET sequence\|legend=1\| ~~27,~~ 31, 41, 68, 72, 140, 171e, 212, 284, 496ce, 527cee, 739cdeee, 811ccdeee, 1023ccdeee }}		{{Optimal ET sequence\|legend=1\| 31, 41, 68, 72, 140, 171e, 212, 284, 496ce, 527cee, 739cdeee, 811ccdeee, 1023ccdeee }}

	[[Badness]] (Sintel): 0.593		[[Badness]] (Sintel): 0.593

	=== ~~13-limit~~ ===		=== Pavaka ===
	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13

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	Badness (Sintel): 0.863		Badness (Sintel): 0.863

			=== Svaha ===
			Subgroup: 2.3.5.7.11.13

			Comma list: 325/324, 385/384, 1375/1372

			Mapping: {{mapping\| 1 1 1 2 5 4 \| 0 2 1 1 0 6 \| 0 0 2 1 -3 -4 }}

			Optimal tunings:
			* WE: ~2 = 1200.3582{{c}}, ~49/40 = 351.0784{{c}}, ~10/7 = 617.0054{{c}}
			* CWE: ~2 = 1200.0000{{c}}, ~49/40 = 351.0491{{c}}, ~10/7 = 616.8317{{c}}

			{{Optimal ET sequence\|legend=0\| 41, 68, 72, 140, 212, 393ce, 465cef, 677cdeeff }}

			Badness (Sintel): 0.997

	== Zisa ==		== Zisa ==
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	=== 13-limit ===		=== 13-limit ===
	~~Freya's canonical 13-limit extension~~ maps [[352/351]] to the half-kleisma. It has [[miraculous]] as a sub-temperament.		Tridecimal freya maps [[352/351]] to the half-kleisma. It has [[miraculous]] as a sub-temperament.

	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13
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	=== Eir ===		=== Eir ===
	~~[[User:VIxen\|VIxen]] named this extension after a healer goddess or valkyrie from the Norse mythology, as it is an extension of freya with the [[ibnsinma]] that evokes associations with medicine. It~~ maps [[325/324]], [[364/363]], and [[729/728]] to the half-kleisma and has [[manna]] as a sub-temperament.		Eir maps [[325/324]], [[364/363]], and [[729/728]] to the half-kleisma and has [[manna]] as a sub-temperament. {{U\|VIxen}} named this extension after a healer goddess or valkyrie from the Norse mythology, as it extends freya via the [[ibnsinma]], which evokes associations with medicine.

	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13
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	* CWE: ~2 = 1200.0000{{c}}, ~49/40 = 351.0880{{c}}, ~84/55 = 733.2482{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~49/40 = 351.0880{{c}}, ~84/55 = 733.2482{{c}}

	{{Optimal ET sequence\|legend=0\| ~~13cdf, 31f,~~ 41, 72, 157, 185cf, 198, 270, 581, 851, 1504, 1774f, 2085, 2355f }}		{{Optimal ET sequence\|legend=0\| 41, 72, 157, 185cf, 198, 270, 581, 851, 1504, 1774f, 2085, 2355f }}

	Badness (Sintel): 0.543		Badness (Sintel): 0.543

	==== ~~17-limit ====~~		==== 2.3.5.7.11.13.19 subgroup ====
	~~Subgroup:~~ 2.3.5.7.11.13.17		Subgroup: 2.3.5.7.11.13.19

	~~Comma list: 1225/1224, 2058/2057, 2080/2079, 2401/2400~~

	~~Mapping~~: ~~{{mapping\| 1 1 -1 1 5 5 -5 \| 0~~ 2 3 ~~2 1 6 6 \| 0 0 4 2 -3 -~~5 ~~12 }}~~

	~~Optimal tunings:~~
	* WE: ~2 = 1200.~~0038{{c}}, ~49/40 = 351~~.~~0756{{c}}, ~84/55 = 733~~.~~2270{{c}}~~
	* CWE: ~2 = 1200.~~0000{{c}}, ~49/40 = 351.0755{{c}}, ~84/55 = 733.2246{{c}}~~

	~~{{Optimal ET sequence\|legend=0\| 41g, 72, 198g, 239f, 270, 311, 509, 581, 1234, 1815 }}~~

	~~Badness (Sintel)~~: ~~0.665~~		Comma list: 1540/1539, 2080/2079, 2401/2400, 3025/3024

	~~==== 19~~-~~limit ====~~		Subgroup-val mapping: {{mapping\| 1 1 -1 1 5 5 3 \| 0 2 3 2 1 6 -2 \| 0 0 4 2 -3 -5 3 }}
	~~Subgroup: 2.3.5.7.11.13.17.19~~

	~~Comma list: 1225/1224, 1540/1539, 2080/2079, 3136/3135, 4200/4199~~

	~~Mapping~~: {{mapping\| 1 1 -1 1 5 ~~5 -~~5 3 \| 0 2 3 2 1 6 6 -2 \| 0 0 4 2 -3 -5 12 3 }}

	Optimal tunings:		Optimal tunings:
	* WE: ~2 = ~~1200~~.~~0015~~{{c}}, ~49/40 = 351.~~0770~~{{c}}, ~84/55 = 733.~~2252~~{{c}}		* WE: ~2 = 1199.9951{{c}}, ~49/40 = 351.0906{{c}}, ~84/55 = 733.2475{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~49/40 = 351.~~0768~~{{c}}, ~84/55 = 733.~~2243~~{{c}}		* CWE: ~2 = 1200.0000{{c}}, ~49/40 = 351.0913{{c}}, ~84/55 = 733.2473{{c}}

	{{Optimal ET sequence\|legend=0\| ~~41g~~, 72, ~~198g~~, ~~239f~~, 270, ~~311~~, ~~581~~, ~~1234~~, ~~1815~~ }}		{{Optimal ET sequence\|legend=0\| 41, 72, 113, 157, 198, 270, 581, 851, 2085, 2355f }}

	Badness (Sintel): 0.~~712~~		Badness (Sintel): 0.500

	=== Heimlaug ===		=== Heimlaug ===
	VIxen named this extension after a völva (seeress) from the Gull-Þóris saga of Icelanders~~. It is an extension of~~ freya ~~with~~ the [[1001/1000\|fairytale comma~~]] and the [[936/935\|ainisma~~]], ~~both~~ adding to the mystical theme~~. The one of prophecy is bolstered by that this extension has [[benediction]] as a subtemperament. It maps [[351/350]] and [[625/624]] to the half-kleisma~~.		Heimlaug maps [[351/350]] and [[625/624]] to the half-kleisma and has [[benediction]] as a subtemperament. VIxen named this extension after a völva (seeress) from the Gull-Þóris saga of Icelanders, as it extends freya via the [[1001/1000\|fairytale comma]], adding to the mystical theme.

	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13
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	Badness (Sintel): 0.562		Badness (Sintel): 0.562

	~~==== 17-limit ====~~
	~~Subgroup: 2.3.5.7.11.13.17~~

	~~Comma list: 715/714, 936/935, 1001/1000, 1225/1224~~

	~~Mapping: {{mapping\| 1 1 -1 1 5 -6 -5 \| 0 2 3 2 1 6 6 \| 0 0 4 2 -3 13 12 }}~~

	~~Optimal tunings:~~
	* WE: ~2 = 1200.0446{{c}}, ~49/40 = 350.9662{{c}}, ~26/17 = 733.3826{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~49/40 = 350.9724{{c}}, ~26/17 = 733.3515{{c}}

	~~{{Optimal ET sequence\|legend=0\| 31, 64be, 72, 103, 167, 198g, 239, 270 }}~~

	~~Badness (Sintel): 0.789~~

	== Vili ==		== Vili ==

FloraC: /* Freyr */ notation

2026-08-31T07:45:45Z

Freyr: notation

← Older revision		Revision as of 07:45, 31 August 2026
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	Freyr tempers out the [[symbiotic comma]], so that the [[rastma]] is split in halves with each part standing in not only for [[441/440]][[~]][[540/539]], but the [[5120/5103\|aberschisma]]. Freyr easily extends to the [[13-limit]], equating the [[352/351\|major minthma]] with the aberschisma, and the no-17 [[19-limit]], equating the [[513/512\|undevicesimal schisma]] with it too.		Freyr tempers out the [[symbiotic comma]], so that the [[rastma]] is split in halves with each part standing in not only for [[441/440]][[~]][[540/539]], but the [[5120/5103\|aberschisma]]. Freyr easily extends to the [[13-limit]], equating the [[352/351\|major minthma]] with the aberschisma, and the no-17 [[19-limit]], equating the [[513/512\|undevicesimal schisma]] with it too.

	This temperament was named by [[Flora Canou]] in 2026, under the impression that it functions a counterpart of [[#Freya\|freya]].		It can be notated with [[neutral chain-of-fifths notation]] with two additional sets of accidentals, one for the generic comma step, and the other for the generic aberschisma step.

			This temperament was named by [[Flora Canou]] in 2026, under the impression that it functions as a counterpart of [[#Freya\|freya]].

	[[Subgroup]]: 2.3.5.7.11		[[Subgroup]]: 2.3.5.7.11

Godtone: /* Jove */ clarification, in case helpful

2026-08-27T20:50:34Z

Jove: clarification, in case helpful

← Older revision		Revision as of 20:50, 27 August 2026
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	{{Main\| Jove }}		{{Main\| Jove }}

	Jove (formerly known as wonder) tempers out [[243/242]], [[441/440]], and [[540/539]]. Jove converts breed into an 11-limit temperament via 441/440, which equates [[49/40]] with [[11/9]], and 243/242, which tells us 11/9 can serve as a neutral third. While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. [[72edo\|72]], [[130edo\|130]], [[171edo\|171]] and [[202edo\|202]] are good edo tunings for jove.		Jove (formerly known as wonder) tempers out [[243/242]], [[441/440]], and [[540/539]]. Jove converts breed into an 11-limit temperament via 441/440, which equates [[49/40]] with [[11/9]], and 243/242, which tells us 11/9 can serve as a neutral third (as in exactly half of [[~]][[3/2]]). While jove is no longer a super-accurate microtemperament like breed, it has the advantage of adjusting its tuning to deal with the 11-limit. [[72edo\|72]], [[130edo\|130]], [[171edo\|171]] and [[202edo\|202]] are good edo tunings for jove.

	[[Subgroup]]: 2.3.5.7.11		[[Subgroup]]: 2.3.5.7.11

FloraC: Recategorize

2026-08-14T11:51:18Z

Recategorize

← Older revision		Revision as of 11:51, 14 August 2026
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			[[Category:Breed family\| ]] <!-- main article -->
	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:~~Breed family\| ]] <!~~-~~- main article -->~~		[[Category:Catalogs of rank-3 temperaments]]
	~~[[Category:Rank~~ 3]]