Gunn - Revision history

Zeta Function: /* Paly */ Moving temperament data

2026-08-10T16:44:03Z

Paly: Moving temperament data

@@ Line 15: / Line 15: @@
 Adding the [[syntonic comma]] or the [[schisma]] to the list of commas tempered out results in Paly, a meantone/compton temperament. Notably, this temperament performs much worse with prime 5 than Gunn, likely due to prime 5 being mapped onto the 24edo-ish structure.
-=== Technical temperament data ===
+''For technical temperament data, go to [[Compton family#Catler]].''
 == Etymology ==

Zeta Function: Moving temperament data

2026-08-10T16:06:02Z

Moving temperament data

@@ Line 10: / Line 10: @@
 '''Gunn''' is a [[fractional-octave temperaments|24th-octave]] [[rank-3 temperament]] that tempers out [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for [[24edo]] or [[72edo]] that tempers out many 19-limit commas such as the [[semitonisma]] and [[sylvisma]]. Furthermore, this temperament tempers out the [[rastma]], so it can be thought of as a very high-limit intersection of compton and rastmic. In addition, it tempers out the [[pythagorean comma]].
-== Technical temperament data ==
+''For technical temperament data, go to [[Rastmic rank-3 clan#Gunn]].''
 == Paly ==

Zeta Function: Fix sentence which is misleading

2026-08-10T02:25:52Z

Fix sentence which is misleading

← Older revision		Revision as of 02:25, 10 August 2026
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	\| Optimization method = CWE		\| Optimization method = CWE
	}}		}}
	'''Gunn''' is a [[fractional-octave temperaments\|24th-octave]] [[rank-3 temperament]] that tempers out ~~the [[Pythagorean comma]], as well as~~ [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for [[24edo]] or [[72edo]] that tempers out many 19-limit commas such as the [[semitonisma]] and [[sylvisma]]. Furthermore, this temperament tempers out the [[rastma]], so it can be thought of as a very high-limit intersection of compton and rastmic.		'''Gunn''' is a [[fractional-octave temperaments\|24th-octave]] [[rank-3 temperament]] that tempers out [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for [[24edo]] or [[72edo]] that tempers out many 19-limit commas such as the [[semitonisma]] and [[sylvisma]]. Furthermore, this temperament tempers out the [[rastma]], so it can be thought of as a very high-limit intersection of compton and rastmic. In addition, it tempers out the [[pythagorean comma]].

	== Technical temperament data ==		== Technical temperament data ==

Overthink: useful info

2026-08-10T02:18:42Z

useful info

← Older revision		Revision as of 02:18, 10 August 2026
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	\| Optimization method = CWE		\| Optimization method = CWE
	}}		}}
	'''Gunn''' is a [[rank-3 temperament]] that tempers out the [[Pythagorean comma]], as well as [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for [[24edo]] or [[72edo]] that tempers out many 19-limit commas such as the [[semitonisma]] and [[sylvisma]]. Furthermore, this temperament tempers out the [[rastma]], so it can be thought of as a very high-limit intersection of compton and rastmic.		'''Gunn''' is a [[fractional-octave temperaments\|24th-octave]] [[rank-3 temperament]] that tempers out the [[Pythagorean comma]], as well as [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for [[24edo]] or [[72edo]] that tempers out many 19-limit commas such as the [[semitonisma]] and [[sylvisma]]. Furthermore, this temperament tempers out the [[rastma]], so it can be thought of as a very high-limit intersection of compton and rastmic.

	== Technical temperament data ==		== Technical temperament data ==

Overthink: fix technical error (all temperaments in the same family have the same rank; compton family refers to rank-2)

2026-08-10T02:17:34Z

fix technical error (all temperaments in the same family have the same rank; compton family refers to rank-2)

← Older revision		Revision as of 02:17, 10 August 2026
Line 8:		Line 8:
	\| Optimization method = CWE		\| Optimization method = CWE
	}}		}}
	'''Gunn''' is a [[rank-3 temperament]] in the [[~~compton family~~]] ~~that tempers out~~ [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for [[24edo]] or [[72edo]] that tempers out many 19-limit commas such as the [[semitonisma]] and [[sylvisma]]. Furthermore, this temperament tempers out the [[rastma]], so it can be thought of as a very high-limit intersection of compton and rastmic.		'''Gunn''' is a [[rank-3 temperament]] that tempers out the [[Pythagorean comma]], as well as [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for [[24edo]] or [[72edo]] that tempers out many 19-limit commas such as the [[semitonisma]] and [[sylvisma]]. Furthermore, this temperament tempers out the [[rastma]], so it can be thought of as a very high-limit intersection of compton and rastmic.

	== Technical temperament data ==		== Technical temperament data ==

Overthink: change a few things

2026-08-10T01:54:55Z

change a few things

← Older revision		Revision as of 01:54, 10 August 2026
Line 8:		Line 8:
	\| Optimization method = CWE		\| Optimization method = CWE
	}}		}}
	Gunn ~~temperament~~ is a rank-3 temperament in the [[~~Compton~~ family]] that tempers out [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for 24edo or 72edo that tempers out many 19-limit commas such as the [[semitonisma]] and [[sylvisma]]. Furthermore, this temperament tempers out the [[rastma]], so it can be thought of as a very high-limit intersection of compton and rastmic.		'''Gunn''' is a [[rank-3 temperament]] in the [[compton family]] that tempers out [[729/728]], [[273/272]], [[153/152]], [[364/363]], and [[1729/1728]]. This temperament is notable for acting as a high-limit map for [[24edo]] or [[72edo]] that tempers out many 19-limit commas such as the [[semitonisma]] and [[sylvisma]]. Furthermore, this temperament tempers out the [[rastma]], so it can be thought of as a very high-limit intersection of compton and rastmic.

	== Technical temperament data ==		== Technical temperament data ==
	[[Subgroup]]: 2.3.5.7.11.13.17.19		[[Subgroup]]: 2.3.5.7.11.13.17.19
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	: error map: {{val\| -0.000 -1.955 -1.476 -3.690 -1.318 -5.663 -4.955 2.487 }}		: error map: {{val\| -0.000 -1.955 -1.476 -3.690 -1.318 -5.663 -4.955 2.487 }}

	{{~~Optimal ET sequence\|legend=1~~\| 24p, 72, 48f, 24c, 24df, 48cf, 48d, 96d, 48cd, 24cdf}}		Supporting ETs: {{Edos\| 24p, 72, 48f, 24c, 24df, 48cf, 48d, 96d, 48cd, 24cdf }}

	Badness (Sintel): 3.285		[[Badness]] (Sintel): 3.285

	== Paly ==		== Paly ==
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	Edo join: 24 & 48cf		Edo join: 24 & 48cf

	Badness (Sintel): 2.383		[[Badness]] (Sintel): 2.383

	== Etymology ==		== Etymology ==
	The name is coined after the name of [[User:Zeta Function]]'s former high school. In addition, its high complexity also accurately reflects the nerdy nature of Gunn HS and stands in contrast to the simplicity of Compton. The name of Paly is derived from Palo Alto High School, the other high school in Palo Alto.		The name is coined after the name of [[User:Zeta Function]]'s former high school. In addition, its high complexity also accurately reflects the nerdy nature of Gunn HS and stands in contrast to the simplicity of Compton. The name of Paly is derived from Palo Alto High School, the other high school in Palo Alto.
	[[Category:Rank-3 temperaments]] [[Category:Compton]]
			[[Category:Rank-3 temperaments]]
			[[Category:Compton]]

Overthink: reduced mappings don't include entries for prime 2; also unify precision

2026-08-10T01:48:23Z

reduced mappings don't include entries for prime 2; also unify precision

← Older revision		Revision as of 01:48, 10 August 2026
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	\| Comma basis = [[729/728]], [[273/272]], [[153/152]], [[364/363]], [[1729/1728]]		\| Comma basis = [[729/728]], [[273/272]], [[153/152]], [[364/363]], [[1729/1728]]
	\| Edo join 1 = 24c \| Edo join 2 = 24 \| Edo join 3 = 72		\| Edo join 1 = 24c \| Edo join 2 = 24 \| Edo join 3 = 72
	\| Mapping = 24; 0 0 1 0 0 0 0 0; 0 0 0 1 0 -1 0 0		\| Mapping = 24; 0 1 0 0 0 0 0; 0 0 1 0 -1 0 0
	\| Generators = 33/32, 5/4, 7/4 \| Generators tuning = 50.~~000~~; 384.84; 965.14		\| Generators = 33/32, 5/4, 7/4 \| Generators tuning = 50.00; 384.84; 965.14
	\| Optimization method = CWE		\| Optimization method = CWE
	}}		}}

Zeta Function: /* Technical temperament data */ Fix error in mapping

2026-08-09T22:12:41Z

Technical temperament data: Fix error in mapping

← Older revision		Revision as of 22:12, 9 August 2026
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	[[Comma list]]: 81/80, 91/90, 51/50, 128/125, 76/75, 121/120		[[Comma list]]: 81/80, 91/90, 51/50, 128/125, 76/75, 121/120

	{{Mapping\|legend=1\|24 38 56 48 83 108 98 102\|0 0 1 0 -1 0 0}}		{{Mapping\|legend=1\|24 38 56 48 83 108 98 102\|0 0 0 1 0 -1 0 0}}

	[[Optimal tuning]]s:		[[Optimal tuning]]s:

Zeta Function: /* Technical temperament data */ Add a derived temperament

2026-08-09T22:12:03Z

Technical temperament data: Add a derived temperament

@@ Line 25: / Line 25: @@
 Badness (Sintel): 3.285
 == Etymology ==
-The name is coined after the name of [[User:Zeta Function]]'s former high school. In addition, its high complexity also accurately reflects the nerdy nature of Gunn HS and stands in contrast to the simplicity of Compton.
+The name is coined after the name of [[User:Zeta Function]]'s former high school. In addition, its high complexity also accurately reflects the nerdy nature of Gunn HS and stands in contrast to the simplicity of Compton. The name of Paly is derived from Palo Alto High School, the other high school in Palo Alto.
 [[Category:Rank-3 temperaments]] [[Category:Compton]]

Zeta Function: Add Etymology of name

2026-08-09T16:53:20Z

Add Etymology of name

← Older revision		Revision as of 16:53, 9 August 2026
Line 26:		Line 26:
	Badness (Sintel): 3.285		Badness (Sintel): 3.285

			== Etymology ==
			The name is coined after the name of [[User:Zeta Function]]'s former high school. In addition, its high complexity also accurately reflects the nerdy nature of Gunn HS and stands in contrast to the simplicity of Compton.
	[[Category:Rank-3 temperaments]] [[Category:Compton]]		[[Category:Rank-3 temperaments]] [[Category:Compton]]