Porcupine family - Revision history

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

2026-09-30T17:44:25Z

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: 55/54, 100/99		Comma list: 55/54, 100/99

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

	{{Mapping\|legend=4\| 1 2 3 0 4 \| 0 -3 -5 0 -4 }}		{{Mapping\|legend=4\| 1 2 3 0 4 \| 0 -3 -5 0 -4 }}

FloraC: Text replacement - "Gencom mapping: {{mapping| " to "{{Mapping|legend=4| "

2026-09-30T17:43:32Z

Text replacement - "Gencom mapping: {{mapping| " to "{{Mapping|legend=4| "

← Older revision		Revision as of 17:43, 30 September 2026
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	Subgroup-val mapping: {{mapping\| 1 2 3 4 \| 0 -3 -5 -4 }}		Subgroup-val mapping: {{mapping\| 1 2 3 4 \| 0 -3 -5 -4 }}

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

	Optimal tunings:		Optimal tunings:

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

2026-09-24T12:33:17Z

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

← Older revision		Revision as of 12:33, 24 September 2026
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	Comma list: 55/54, 64/63, 100/99		Comma list: 55/54, 64/63, 100/99

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 40/39, 55/54, 64/63, 66/65		Comma list: 40/39, 55/54, 64/63, 66/65

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 64/63, 91/90, 100/99		Comma list: 55/54, 64/63, 91/90, 100/99

	~~Mapping:~~ {{~~mapping~~\| 1 2 3 2 4 6 \| 0 -3 -5 6 -4 -17 }}		{{Mapping\|legend=0\| 1 2 3 2 4 6 \| 0 -3 -5 6 -4 -17 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 64/63, 100/99, 196/195		Comma list: 55/54, 64/63, 100/99, 196/195

	~~Mapping:~~ {{~~mapping~~\| 1 2 3 2 4 1 \| 0 -3 -5 6 -4 20 }}		{{Mapping\|legend=0\| 1 2 3 2 4 1 \| 0 -3 -5 6 -4 20 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 64/63, 65/63, 100/99		Comma list: 55/54, 64/63, 65/63, 100/99

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 64/63, 100/99, 169/168		Comma list: 55/54, 64/63, 100/99, 169/168

	~~Mapping:~~ {{~~mapping~~\| 1 -1 -2 8 0 5 \| 0 6 10 -12 8 -3 }}		{{Mapping\|legend=0\| 1 -1 -2 8 0 5 \| 0 6 10 -12 8 -3 }}
	: mapping generators: ~2, ~35/26		: mapping generators: ~2, ~35/26

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	Comma list: 28/27, 55/54, 77/75		Comma list: 28/27, 55/54, 77/75

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 28/27, 40/39, 55/54, 66/65		Comma list: 28/27, 40/39, 55/54, 66/65

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 100/99, 225/224		Comma list: 55/54, 100/99, 225/224

	~~Mapping:~~ {{~~mapping~~\| 1 2 3 5 4 \| 0 -3 -5 -16 -4 }}		{{Mapping\|legend=0\| 1 2 3 5 4 \| 0 -3 -5 -16 -4 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 65/64, 91/90, 100/99		Comma list: 55/54, 65/64, 91/90, 100/99

	~~Mapping:~~ {{~~mapping~~\| 1 2 3 5 4 3 \| 0 -3 -5 -16 -4 5 }}		{{Mapping\|legend=0\| 1 2 3 5 4 3 \| 0 -3 -5 -16 -4 5 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 100/99, 525/512		Comma list: 55/54, 100/99, 525/512

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 65/64, 100/99, 105/104		Comma list: 55/54, 65/64, 100/99, 105/104

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 22/21, 36/35, 80/77		Comma list: 22/21, 36/35, 80/77

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

	Optimal tunings:		Optimal tunings:
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	Comma list: 49/48, 55/54, 245/242		Comma list: 49/48, 55/54, 245/242

	~~Mapping:~~ {{~~mapping~~\| 1 2 3 3 4 \| 0 -6 -10 -3 -8 }}		{{Mapping\|legend=0\| 1 2 3 3 4 \| 0 -6 -10 -3 -8 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 49/48, 55/54, 91/90, 100/99		Comma list: 49/48, 55/54, 91/90, 100/99

	~~Mapping:~~ {{~~mapping~~\| 1 2 3 3 4 5 \| 0 -6 -10 -3 -8 -19 }}		{{Mapping\|legend=0\| 1 2 3 3 4 5 \| 0 -6 -10 -3 -8 -19 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 40/39, 49/48, 55/54, 66/65		Comma list: 40/39, 49/48, 55/54, 66/65

	~~Mapping:~~ {{~~mapping~~\| 1 2 3 3 4 4 \| 0 -6 -10 -3 -8 -4 }}		{{Mapping\|legend=0\| 1 2 3 3 4 4 \| 0 -6 -10 -3 -8 -4 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 100/99, 686/675		Comma list: 55/54, 100/99, 686/675

	~~Mapping:~~ {{~~mapping~~\| 1 -4 -7 -9 -4 \| 0 9 15 19 12 }}		{{Mapping\|legend=0\| 1 -4 -7 -9 -4 \| 0 9 15 19 12 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 91/90, 100/99, 169/168		Comma list: 55/54, 91/90, 100/99, 169/168

	~~Mapping:~~ {{~~mapping~~\| 1 -4 -7 -9 -4 -5 \| 0 9 15 19 12 14 }}		{{Mapping\|legend=0\| 1 -4 -7 -9 -4 -5 \| 0 9 15 19 12 14 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 100/99, 352/343		Comma list: 55/54, 100/99, 352/343

	~~Mapping:~~ {{~~mapping~~\| 1 2 3 3 4 \| 0 -9 -15 -4 -12 }}		{{Mapping\|legend=0\| 1 2 3 3 4 \| 0 -9 -15 -4 -12 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 55/54, 65/63, 100/99, 352/343		Comma list: 55/54, 65/63, 100/99, 352/343

	~~Mapping:~~ {{~~mapping~~\| 1 2 3 3 4 4 \| 0 -9 -15 -4 -12 -7 }}		{{Mapping\|legend=0\| 1 2 3 3 4 4 \| 0 -9 -15 -4 -12 -7 }}

	Optimal tunings:		Optimal tunings:

FloraC: - hedgehog (strong extension of no-5 stearnsmic)

2026-09-15T09:29:42Z

- hedgehog (strong extension of no-5 stearnsmic)

@@ Line 39: / Line 39: @@
 Those all share the same generator with porcupine.
-[[#Nautilus|nautilus]] tempers out [[49/48]] and splits the generator in two. [[#Hedgehog|hedgehog]] tempers out [[50/49]] with a semi-octave period. Finally, [[#Ammonite|ammonite]] tempers out [[686/675]] and [[#Ceratitid|ceratitid]] tempers out [[1728/1715]]. Those split the generator in three.
+[[#Nautilus|Nautilus]] tempers out [[49/48]] and splits the generator in two. Hedgehog tempers out [[50/49]] with a semi-octave period. Finally, [[#Ammonite|ammonite]] tempers out [[686/675]] and [[#Ceratitid|ceratitid]] tempers out [[1728/1715]]. Those split the generator in three.
 Temperaments discussed elsewhere include:
-* ''[[Oxygen]]'' → [[Very low accuracy temperaments #Oxygen|Very low accuracy temperaments]]
+* ''[[Oxygen]]'' (+21/20) → [[Very low accuracy temperaments #Oxygen|Very low accuracy temperaments]]
-* ''[[Jamesbond]]'' → [[Whitewood family #Jamesbond|Whitewood family]]
+* ''[[Hedgehog]]'' (+50/49 or 245/243) → [[Stearnsmic clan #Hedgehog|Stearnsmic clan]]
 ==== Subgroup extensions ====
@@ Line 446: / Line 449: @@
 Badness (Sintel): 0.886
 == Nautilus ==

FloraC: Recategorize

2026-08-14T12:16:35Z

Recategorize

← Older revision		Revision as of 12:16, 14 August 2026
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	Badness (Sintel): 1.85		Badness (Sintel): 1.85

			[[Category:Porcupine family\| ]] <!-- main article -->
	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:~~Porcupine family\| ]] <!~~-~~- main article -->~~		[[Category:Catalogs of rank-2 temperaments]]
	~~[[Category:Rank~~ 2]]

FloraC: - interwiki (the German article corresponds to Porcupine); - redundant category

2026-07-02T07:55:56Z

- interwiki (the German article corresponds to Porcupine); - redundant category

← Older revision		Revision as of 07:55, 2 July 2026
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	~~{{interwiki~~
	~~\| de = Porcupine~~
	~~\| en = Porcupine family~~
	~~\| es =~~
	~~\| ja =~~
	}}
	{{Technical data page}}		{{Technical data page}}
	The '''porcupine family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[porcupine comma]], [[250/243]], also called the maximal diesis.		The '''porcupine family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[porcupine comma]], [[250/243]], also called the maximal diesis.
Line 715:		Line 709:
	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:Porcupine family\| ]] <!-- main article -->		[[Category:Porcupine family\| ]] <!-- main article -->
	~~[[Category:Porcupine\| ]] <!-- key article -->~~
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC: Review & make undecimation a septimal porcupine extension as it seems it was never explicitly no-7

2026-07-02T07:55:15Z

Review & make undecimation a septimal porcupine extension as it seems it was never explicitly no-7

← Older revision		Revision as of 07:55, 2 July 2026
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	Badness (Sintel): 0.303		Badness (Sintel): 0.303

	~~==== Undecimation (no-7s) ====~~
	~~Subgroup: 2.3.5.11.13~~

	~~Comma list: 55/54, 100/99, 512/507~~

	~~Subgroup-val mapping: {{mapping\| 1 -1 -2 0 5 \| 0 6 10 8 -3 }}~~

	~~: mapping generators: ~2, ~88/65~~

	~~Optimal tunings:~~
	* WE: ~2 = 1199.4791{{c}}, ~88/65 = 517.9845{{c}}
	* CWE: ~2 = 1200.0000{{c}}, ~88/65 = 518.1740{{c}}

	~~{{Optimal ET sequence\|legend=0\| 7, 23bc, 30, 37, 44 }}~~

	~~Badness (Sintel): 1.21~~

	== Septimal porcupine ==		== Septimal porcupine ==
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	Badness (Sintel): 1.08		Badness (Sintel): 1.08

	===== Undecimation =====		==== Undecimation ====
	This ~~temperament~~ is used by most patent ~~edos~~ that ~~have septimal~~ porcupine and tune 13 well.		This weak extension is used by most patent vals that support porcupine and tune 13 well.

	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13

	Comma list: 55/54, 64/63, 100/99, ~~512~~/~~507~~		Comma list: 55/54, 64/63, 100/99, 169/168

	Mapping: {{mapping\| 1 ~~5 8~~ -4 8 2\| 0 -6 -10 12 -8 3 }}		Mapping: {{mapping\| 1 -1 -2 8 0 5 \| 0 6 10 -12 8 -3 }}
			: mapping generators: ~2, ~35/26
	mapping generators: ~2, ~52/35

	Optimal tunings:		Optimal tunings:
			* WE: ~2 = 1198.4569{{c}}, ~35/26 = 517.9375{{c}}
			* CWE: ~2 = 1200.0000{{c}}, ~35/26 = 518.5822{{c}}

	*WE: ~2 = 1198.457{{c}}, ~52/35 = 680.519{{c}}		{{Optimal ET sequence\|legend=0\| 7, 30, 37, 81bd }}
	* CWE: ~2 = 1200.000{{c}}, ~52/35 = 681.418{{c}}

	{{Optimal ET sequence\|legend=0\|7, 30, 37, 44}}

	Badness (Sintel): 1.~~679~~		Badness (Sintel): 1.68

	== Opossum ==		== Opossum ==

VectorGraphics at 07:17, 2 July 2026

2026-07-02T07:17:04Z

← Older revision		Revision as of 07:17, 2 July 2026
Line 71:		Line 71:
	Badness (Sintel): 0.303		Badness (Sintel): 0.303

	==== Undecimation ====		==== Undecimation (no-7s) ====
	Subgroup: 2.3.5.11.13		Subgroup: 2.3.5.11.13

VectorGraphics at 07:16, 2 July 2026

2026-07-02T07:16:45Z

@@ Line 87: / Line 87: @@
 Badness (Sintel): 1.21
 == Septimal porcupine ==
@@ Line 252: / Line 232: @@
 Badness (Sintel): 1.08
 == Opossum ==

VectorGraphics at 06:30, 2 July 2026

2026-07-02T06:30:22Z

← Older revision		Revision as of 06:30, 2 July 2026
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	===== Full 13-limit =====		===== Full 13-limit =====
	This temperament is used by most edos that have porcupine and tune 13 well.		This temperament is used by most patent edos that have porcupine and tune 13 well.

	Subgroup: 2.3.5.7.11.13		Subgroup: 2.3.5.7.11.13