Ragismic microtemperaments - Revision history

FloraC: /* Chlorine */

2026-08-20T09:34:45Z

Chlorine

← Older revision		Revision as of 09:34, 20 August 2026
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	== Chlorine ==		== Chlorine ==
	: ''For the 5-limit version, see [[17th-octave temperaments #Chlorine]].''		: ''For the 5-limit version, see [[17th-octave temperaments #Chlorine]].''

			Chlorine (named after the 17th element) tempers out the [[septendecima]] in the 5-limit, and {{monzo\| -49 4 22 -3 }} as well as the ragisma in the 7-limit. It has a 1/17-octave period, and can be described as {{nowrap\| 289 & 323 }} temperament. Not only the semitwelfth, but also the ~5/4 can be used as a generator.

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

FloraC: Move chlorine back according to XW:TEMPCAT now that everything is sorted out

2026-08-20T09:30:07Z

Move chlorine back according to XW:TEMPCAT now that everything is sorted out

@@ Line 29: / Line 29: @@
 * ''[[Vacuum]]'' (+{{monzo| -68 18 17 }}) → [[Vavoom family #Vacuum|Vavoom family]]
 * [[Ennealimmal]] (+2401/2400) → [[Septiennealimmal clan #Ennealimmal|Septiennealimmal clan]]
 * ''[[Dzelic]]'' (+{{monzo|-223 47 -11 62}}) → [[37th-octave temperaments #Dzelic|37th-octave temperaments]]
-Considered below, sorted by [[badness]], are supermajor, enneadecal, semidimi, brahmagupta, abigail, gamera, crazy, orga, octoid, seniority, monzismic, semidimfourth, acrokleismic, quasithird, quincy, deca, keenanose, counterkleismic, sfourth, aluminium, ragitritonic, quatracot, trideci, moulin, and palladium.
+Considered below, sorted by [[badness]], are supermajor, enneadecal, semidimi, brahmagupta, abigail, gamera, crazy, orga, chlorine, octoid, seniority, monzismic, semidimfourth, acrokleismic, quasithird, quincy, deca, keenanose, counterkleismic, sfourth, aluminium, ragitritonic, quatracot, trideci, moulin, and palladium.
 == Supermajor ==
@@ Line 499: / Line 498: @@
 Badness (Sintel): 0.899
 == Octoid ==

FloraC: Sort links by ploidacot

2026-08-17T12:01:16Z

Sort links by ploidacot

← Older revision		Revision as of 12:01, 17 August 2026
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	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:
			* [[Flattone]] (+81/80) → [[Meantone family #Flattone\|Meantone family]]
			* [[Pontiac]] (+32805/32768) → [[Schismatic family #Pontiac\|Schismatic family]]
			* ''[[Srutal]]'' (+2048/2025) → [[Diaschismic family #Srutal\|Diaschismic family]]
	* ''[[Hystrix]]'' (+36/35) → [[Porcupine family #Hystrix\|Porcupine family]]		* ''[[Hystrix]]'' (+36/35) → [[Porcupine family #Hystrix\|Porcupine family]]
	* ''[[~~Rhinoceros~~]]'' (+~~49/48) → [[Unicorn family #Rhinoceros~~\|~~Unicorn family]]~~		* ''[[Alphatrillium]]'' (+{{monzo\| 40 -22 -1 -1 }}) → [[Alphatricot family #Trillium\|Alphatricot family]]
	* ''[[Crepuscular]]'' (+50/49) → [[~~Fifive~~ family #~~Crepuscular~~\|~~Fifive~~ family]]
	* [[Modus]] (+64/63) → [[Tetracot family #Modus\|Tetracot family]]		* [[Modus]] (+64/63) → [[Tetracot family #Modus\|Tetracot family]]
	* [[Flattone]] (+81/80) → [[Meantone family #Flattone\|Meantone family]]
	* [[Sensi]] (+126/125 or 245/243) → [[Sensipent family #Sensi\|Sensipent family]]
	* [[Catakleismic]] (+225/224) → [[Kleismic family #Catakleismic\|Kleismic family]]
	* [[Unidec]] (+1029/1024) → [[Gamelismic clan #Unidec\|Gamelismic clan]]		* [[Unidec]] (+1029/1024) → [[Gamelismic clan #Unidec\|Gamelismic clan]]
	* ''[[~~Quartonic~~]]'' (+~~1728~~/~~1715 or 4000/3969~~) → [[~~Quartonic family]]~~		* ''[[Vulture]]'' (+33554432/33480783) → [[Vulture family #Septimal vulture\|Vulture family]]
	* ''[[Srutal]]'' (+2048/2025) → [[Diaschismic family #~~Srutal~~\|~~Diaschismic~~ family]]		* ''[[Unlit]]'' (+{{monzo\| 41 -20 -4 }}) → [[Undim family #Unlit\|Undim family]]
	* [[Ennealimmal]] (+2401/2400) → [[Septiennealimmal clan #Ennealimmal\|Septiennealimmal clan]]
	* ''[[~~Maja~~]]'' (+~~2430/2401 or 3125/3087) → [[Maja family #Septimal maja~~\|~~Maja family]]~~
	* [[Parakleismic]] (+3136/3125) → [[~~Parakleismic~~ family #~~Septimal parakleismic~~\|~~Parakleismic~~ family]]
	* [[Amity]] (+5120/5103) → [[Amity family #Septimal amity\|Amity family]]		* [[Amity]] (+5120/5103) → [[Amity family #Septimal amity\|Amity family]]
	* [[~~Pontiac~~]] (+~~32805~~/~~32768~~) → [[~~Schismatic~~ family #~~Pontiac~~\|~~Schismatic~~ family]]		* ''[[Quindro]]'' (+{{monzo\| 56 -28 -5 }}) → [[Quindromeda family #Quindro\|Quindromeda family]]
			* [[Catakleismic]] (+225/224) → [[Kleismic family #Catakleismic\|Kleismic family]]
	* ''[[Zarvo]]'' (+33075/32768) → [[Gravity family #Zarvo\|Gravity family]]		* ''[[Zarvo]]'' (+33075/32768) → [[Gravity family #Zarvo\|Gravity family]]
			* [[Sensi]] (+126/125 or 245/243) → [[Sensipent family #Sensi\|Sensipent family]]
			* ''[[Rhinoceros]]'' (+49/48) → [[Unicorn family #Rhinoceros\|Unicorn family]]
	* ''[[Whirrschmidt]]'' (+393216/390625) → [[Würschmidt family #Whirrschmidt\|Würschmidt family]]		* ''[[Whirrschmidt]]'' (+393216/390625) → [[Würschmidt family #Whirrschmidt\|Würschmidt family]]
	* ''[[~~Mitonic~~]]'' (+~~2100875~~/~~2097152~~) → [[~~Minortonic~~ family #~~Mitonic~~\|~~Minortonic~~ family]]		* ''[[Crepuscular]]'' (+50/49) → [[Fifive family #Crepuscular\|Fifive family]]
	* ''[[Vishnu]]'' (+29360128/29296875) → [[~~Vishnuzmic~~ family #Septimal vishnu\|~~Vishnuzmic~~ family]]		* ''[[Quartonic]]'' (+1728/1715 or 4000/3969) → [[Quartonic family]]
	* ''[[~~Vulture~~]]'' (+~~33554432~~/~~33480783~~) → [[~~Vulture~~ family #Septimal ~~vulture~~\|~~Vulture~~ family]]		* [[Parakleismic]] (+3136/3125) → [[Parakleismic family #Septimal parakleismic\|Parakleismic family]]
	* ''[[~~Alphatrillium~~]]'' (+~~{{monzo\| 40 -22 -1 -1 }}~~) → [[~~Alphatricot~~ family #~~Trillium~~\|~~Alphatricot~~ family]]		* ''[[Vishnu]]'' (+29360128/29296875) → [[Vishnu family #Septimal vishnu\|Vishnu family]]
			* ''[[Maja]]'' (+2430/2401 or 3125/3087) → [[Maja family #Septimal maja\|Maja family]]
			* ''[[Mitonic]]'' (+2100875/2097152) → [[Minortone family #Mitonic\|Minortone family]]
	* ''[[Vacuum]]'' (+{{monzo\| -68 18 17 }}) → [[Vavoom family #Vacuum\|Vavoom family]]		* ''[[Vacuum]]'' (+{{monzo\| -68 18 17 }}) → [[Vavoom family #Vacuum\|Vavoom family]]
	* ''[[~~Unlit~~]]'' (+~~{{monzo\| 41 -20 -4 }}~~) → [[~~Undim family~~ #~~Unlit~~\|~~Undim family~~]]		* [[Ennealimmal]] (+2401/2400) → [[Septiennealimmal clan #Ennealimmal\|Septiennealimmal clan]]
	* ''[[Chlorine]]'' (+{{monzo\| -52 -17 34}}) → [[17th-octave temperaments #Chlorine\|17th-octave temperaments]]		* ''[[Chlorine]]'' (+{{monzo\| -52 -17 34}}) → [[17th-octave temperaments #Chlorine\|17th-octave temperaments]]
	* ''[[Quindro]]'' (+{{monzo\| 56 -28 -5 }}) → [[Quindromeda family #Quindro\|Quindromeda family]]
	* ''[[Dzelic]]'' (+{{monzo\|-223 47 -11 62}}) → [[37th-octave temperaments #Dzelic\|37th-octave temperaments]]		* ''[[Dzelic]]'' (+{{monzo\|-223 47 -11 62}}) → [[37th-octave temperaments #Dzelic\|37th-octave temperaments]]

FloraC: Remove the distinction between microtemps and near-microtemps. No other pages have this distinction.

2026-08-17T11:52:53Z

Remove the distinction between microtemps and near-microtemps. No other pages have this distinction.

Show changes

FloraC: Recategorize

2026-08-15T08:00:38Z

Recategorize

← Older revision		Revision as of 08:00, 15 August 2026
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	== References ==		== References ==

			[[Category:Ragismic microtemperaments\| ]] <!-- main article -->
	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	[[Category:~~Ragismic microtemperaments\| ]] <!~~-~~- main article -->~~		[[Category:Catalogs of rank-2 temperaments]]
	~~[[Category:Rank~~ 2]]

FloraC: - parakleismic (addressed in its own family now)

2026-08-09T13:31:45Z

- parakleismic (addressed in its own family now)

Show changes

Eliora: /* Aluminium */

2026-08-06T21:38:08Z

Aluminium

← Older revision		Revision as of 21:38, 6 August 2026
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	== Aluminium ==		== Aluminium ==
	: ''For the 5-limit version, see [[~~Miscellaneous 5~~-~~limit~~ temperaments #Aluminium]].''		: ''For the 5-limit version, see [[13th-octave temperaments #Aluminium]].''

	Aluminium tempers out {{monzo\| 92 -39 -13 }} in the 5-limit and sets [[135/128]] to 1/13 of an [[octave]]. It was named by [[Eliora]] in 2023 after the 13th element.		Aluminium tempers out {{monzo\| 92 -39 -13 }} in the 5-limit and sets [[135/128]] to 1/13 of an [[octave]]. It was named by [[Eliora]] in 2023 after the 13th element.

Eliora: /* Deca */

2026-08-01T19:07:18Z

Deca

← Older revision		Revision as of 19:07, 1 August 2026
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	== Deca ==		== Deca ==
	: ''For 5-limit version, see [[~~Miscellaneous 5~~-~~limit~~ temperaments #Neon]].''		: ''For 5-limit version, see [[10th-octave temperaments#Neon]].''

	Deca has a period of 1/10 octave and tempers out the [[neon comma]] ({{monzo\| 21 60 -50 }}) in the 5-limit, the [[linus comma]] ({{monzo\| 11 -10 -10 10 }}) and {{monzo\| 12 -3 -14 9 }} (165288374272/164794921875) in the 7-limit. It may be described as the {{nowrap\| 80 & 190 }} temperament, and has a [[ploidacot]] of decaploid wau-pentacot.		Deca has a period of 1/10 octave and tempers out the [[neon comma]] ({{monzo\| 21 60 -50 }}) in the 5-limit, the [[linus comma]] ({{monzo\| 11 -10 -10 10 }}) and {{monzo\| 12 -3 -14 9 }} (165288374272/164794921875) in the 7-limit. It may be described as the {{nowrap\| 80 & 190 }} temperament, and has a [[ploidacot]] of decaploid wau-pentacot.

FloraC: /* Trideci */ update

2026-07-21T03:54:23Z

Trideci: update

← Older revision		Revision as of 03:54, 21 July 2026
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	== Trideci ==		== Trideci ==
	: ''For the 5-limit version, see [[~~13th~~-~~octave~~ temperaments #Tridecatonic]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Tridecatonic]].''

	The trideci temperament (26 & 65) has a period of 1/13 octave and tempers out 245/242 and 385/384 in the 11-limit. It tempers out the same 5-limit comma as the [[Octagar temperaments #Tridecatonic\|tridecatonic ~~temperament~~]], but with the ragisma (4375/4374) rather than the octagar (4000/3969) tempered out. The name ''trideci'' comes from ''tridecim'' (Latin for "thirteen").		The trideci temperament (26 & 65) has a period of 1/13 octave and tempers out 245/242 and 385/384 in the 11-limit. It tempers out the same 5-limit comma as the [[Octagar temperaments #Tridecatonic\|tridecatonic]] temperament, but with the ragisma (4375/4374) rather than the octagar comma (4000/3969) tempered out. The name ''trideci'' comes from ''tridecim'' (Latin for "thirteen").

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

FloraC: /* Aluminium */ improve intro & update link

2026-07-21T03:46:56Z

Aluminium: improve intro & update link

← Older revision		Revision as of 03:46, 21 July 2026
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	== Aluminium ==		== Aluminium ==
	: ''For the 5-limit version, see [[~~13th~~-~~octave~~ temperaments #Aluminium]].''		: ''For the 5-limit version, see [[Miscellaneous 5-limit temperaments #Aluminium]].''

	Aluminium ~~was named by [[Eliora]] in 2023 after the 13th element. It~~ tempers out ~~the~~ {{monzo\| 92 -39 -13 }} ~~comma, which~~ sets [[135/128]] ~~interval to be equal~~ to 1/~~13th~~ of the ~~octave~~.		Aluminium tempers out {{monzo\| 92 -39 -13 }} in the 5-limit and sets [[135/128]] to 1/13 of an [[octave]]. It was named by [[Eliora]] in 2023 after the 13th element.

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

← Older revision		Revision as of 12:01, 17 August 2026
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	Temperaments discussed elsewhere are:		Temperaments discussed elsewhere are:
			* [[Flattone]] (+81/80) → [[Meantone family #Flattone\|Meantone family]]
			* [[Pontiac]] (+32805/32768) → [[Schismatic family #Pontiac\|Schismatic family]]
			* ''[[Srutal]]'' (+2048/2025) → [[Diaschismic family #Srutal\|Diaschismic family]]
	* ''[[Hystrix]]'' (+36/35) → [[Porcupine family #Hystrix\|Porcupine family]]		* ''[[Hystrix]]'' (+36/35) → [[Porcupine family #Hystrix\|Porcupine family]]
	* ''[[~~Rhinoceros~~]]'' (+~~49/48) → [[Unicorn family #Rhinoceros~~\|~~Unicorn family]]~~		* ''[[Alphatrillium]]'' (+{{monzo\| 40 -22 -1 -1 }}) → [[Alphatricot family #Trillium\|Alphatricot family]]
	* ''[[Crepuscular]]'' (+50/49) → [[~~Fifive~~ family #~~Crepuscular~~\|~~Fifive~~ family]]
	* [[Modus]] (+64/63) → [[Tetracot family #Modus\|Tetracot family]]		* [[Modus]] (+64/63) → [[Tetracot family #Modus\|Tetracot family]]
	* [[Flattone]] (+81/80) → [[Meantone family #Flattone\|Meantone family]]
	* [[Sensi]] (+126/125 or 245/243) → [[Sensipent family #Sensi\|Sensipent family]]
	* [[Catakleismic]] (+225/224) → [[Kleismic family #Catakleismic\|Kleismic family]]
	* [[Unidec]] (+1029/1024) → [[Gamelismic clan #Unidec\|Gamelismic clan]]		* [[Unidec]] (+1029/1024) → [[Gamelismic clan #Unidec\|Gamelismic clan]]
	* ''[[~~Quartonic~~]]'' (+~~1728~~/~~1715 or 4000/3969~~) → [[~~Quartonic family]]~~		* ''[[Vulture]]'' (+33554432/33480783) → [[Vulture family #Septimal vulture\|Vulture family]]
	* ''[[Srutal]]'' (+2048/2025) → [[Diaschismic family #~~Srutal~~\|~~Diaschismic~~ family]]		* ''[[Unlit]]'' (+{{monzo\| 41 -20 -4 }}) → [[Undim family #Unlit\|Undim family]]
	* [[Ennealimmal]] (+2401/2400) → [[Septiennealimmal clan #Ennealimmal\|Septiennealimmal clan]]
	* ''[[~~Maja~~]]'' (+~~2430/2401 or 3125/3087) → [[Maja family #Septimal maja~~\|~~Maja family]]~~
	* [[Parakleismic]] (+3136/3125) → [[~~Parakleismic~~ family #~~Septimal parakleismic~~\|~~Parakleismic~~ family]]
	* [[Amity]] (+5120/5103) → [[Amity family #Septimal amity\|Amity family]]		* [[Amity]] (+5120/5103) → [[Amity family #Septimal amity\|Amity family]]
	* [[~~Pontiac~~]] (+~~32805~~/~~32768~~) → [[~~Schismatic~~ family #~~Pontiac~~\|~~Schismatic~~ family]]		* ''[[Quindro]]'' (+{{monzo\| 56 -28 -5 }}) → [[Quindromeda family #Quindro\|Quindromeda family]]
			* [[Catakleismic]] (+225/224) → [[Kleismic family #Catakleismic\|Kleismic family]]
	* ''[[Zarvo]]'' (+33075/32768) → [[Gravity family #Zarvo\|Gravity family]]		* ''[[Zarvo]]'' (+33075/32768) → [[Gravity family #Zarvo\|Gravity family]]
			* [[Sensi]] (+126/125 or 245/243) → [[Sensipent family #Sensi\|Sensipent family]]
			* ''[[Rhinoceros]]'' (+49/48) → [[Unicorn family #Rhinoceros\|Unicorn family]]
	* ''[[Whirrschmidt]]'' (+393216/390625) → [[Würschmidt family #Whirrschmidt\|Würschmidt family]]		* ''[[Whirrschmidt]]'' (+393216/390625) → [[Würschmidt family #Whirrschmidt\|Würschmidt family]]
	* ''[[~~Mitonic~~]]'' (+~~2100875~~/~~2097152~~) → [[~~Minortonic~~ family #~~Mitonic~~\|~~Minortonic~~ family]]		* ''[[Crepuscular]]'' (+50/49) → [[Fifive family #Crepuscular\|Fifive family]]
	* ''[[Vishnu]]'' (+29360128/29296875) → [[~~Vishnuzmic~~ family #Septimal vishnu\|~~Vishnuzmic~~ family]]		* ''[[Quartonic]]'' (+1728/1715 or 4000/3969) → [[Quartonic family]]
	* ''[[~~Vulture~~]]'' (+~~33554432~~/~~33480783~~) → [[~~Vulture~~ family #Septimal ~~vulture~~\|~~Vulture~~ family]]		* [[Parakleismic]] (+3136/3125) → [[Parakleismic family #Septimal parakleismic\|Parakleismic family]]
	* ''[[~~Alphatrillium~~]]'' (+~~{{monzo\| 40 -22 -1 -1 }}~~) → [[~~Alphatricot~~ family #~~Trillium~~\|~~Alphatricot~~ family]]		* ''[[Vishnu]]'' (+29360128/29296875) → [[Vishnu family #Septimal vishnu\|Vishnu family]]
			* ''[[Maja]]'' (+2430/2401 or 3125/3087) → [[Maja family #Septimal maja\|Maja family]]
			* ''[[Mitonic]]'' (+2100875/2097152) → [[Minortone family #Mitonic\|Minortone family]]
	* ''[[Vacuum]]'' (+{{monzo\| -68 18 17 }}) → [[Vavoom family #Vacuum\|Vavoom family]]		* ''[[Vacuum]]'' (+{{monzo\| -68 18 17 }}) → [[Vavoom family #Vacuum\|Vavoom family]]
	* ''[[~~Unlit~~]]'' (+~~{{monzo\| 41 -20 -4 }}~~) → [[~~Undim family~~ #~~Unlit~~\|~~Undim family~~]]		* [[Ennealimmal]] (+2401/2400) → [[Septiennealimmal clan #Ennealimmal\|Septiennealimmal clan]]
	* ''[[Chlorine]]'' (+{{monzo\| -52 -17 34}}) → [[17th-octave temperaments #Chlorine\|17th-octave temperaments]]		* ''[[Chlorine]]'' (+{{monzo\| -52 -17 34}}) → [[17th-octave temperaments #Chlorine\|17th-octave temperaments]]
	* ''[[Quindro]]'' (+{{monzo\| 56 -28 -5 }}) → [[Quindromeda family #Quindro\|Quindromeda family]]
	* ''[[Dzelic]]'' (+{{monzo\|-223 47 -11 62}}) → [[37th-octave temperaments #Dzelic\|37th-octave temperaments]]		* ''[[Dzelic]]'' (+{{monzo\|-223 47 -11 62}}) → [[37th-octave temperaments #Dzelic\|37th-octave temperaments]]