Lehmerismic temperaments - Revision history

FloraC: Restore key category

2026-11-03T06:15:27Z

Restore key category

← Older revision		Revision as of 06:15, 3 November 2026
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	[[Category:Lehmerismic temperaments\| ]] <!-- main article -->		[[Category:Lehmerismic temperaments\| ]] <!-- main article -->
			[[Category:Lehmerismic\| ]] <!-- key article -->
	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	[[Category:Catalogs of rank-3 temperaments]]		[[Category:Catalogs of rank-3 temperaments]]

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

2026-09-24T12:33:03Z

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

← Older revision		Revision as of 12:33, 24 September 2026
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	Comma list: 625/624, 1575/1573, 2080/2079		Comma list: 625/624, 1575/1573, 2080/2079

	~~Mapping:~~ {{~~mapping~~\| 1 2 0 -8 1 -6 \| 0 -3 0 11 1 3 \| 0 0 1 4 1 4 }}		{{Mapping\|legend=0\| 1 2 0 -8 1 -6 \| 0 -3 0 11 1 3 \| 0 0 1 4 1 4 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 1716/1715, 3025/3024, 4225/4224		Comma list: 1716/1715, 3025/3024, 4225/4224

	~~Mapping:~~ {{~~mapping~~\| 1 0 -4 10 11 13 \| 0 1 3 -3 -3 -4 \| 0 0 9 -14 -16 -17 }}		{{Mapping\|legend=0\| 1 0 -4 10 11 13 \| 0 1 3 -3 -3 -4 \| 0 0 9 -14 -16 -17 }}

	Optimal tunings:		Optimal tunings:
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	Comma list: 715/714, 936/935, 1225/1224, 4225/4224		Comma list: 715/714, 936/935, 1225/1224, 4225/4224

	~~Mapping:~~ {{~~mapping~~\| 1 0 -4 10 11 13 9 \| 0 1 3 -3 -3 -4 -2 \| 0 0 9 -14 -16 -17 -10 }}		{{Mapping\|legend=0\| 1 0 -4 10 11 13 9 \| 0 1 3 -3 -3 -4 -2 \| 0 0 9 -14 -16 -17 -10 }}

	Optimal tunings:		Optimal tunings:

FloraC: - ganesha, - lux (more properly addressed in other pages)

2026-09-08T12:44:01Z

- ganesha, - lux (more properly addressed in other pages)

@@ Line 12: / Line 12: @@
 * ''[[Triglav]]'' (+3136/3125) → [[Hemimean family #Triglav|Hemimean family]]
 * ''[[Thor]]'' (+4375/4374) → [[Ragismic family #Thor|Ragismic family]]
-* ''[[Kapo]]'' (+5120/5103) → [[Hemifamity family #Kapo|Hemifamity family]]
+* ''[[Kapo]]'' (+5120/5103) → [[Aberschismic family #Kapo|Aberschismic family]]
 * ''[[Tyr]]'' (+102487/102400) → [[Landscape family #Tyr|Landscape family]]
-Considered below are skadi, ganesha, hanuman, lux, and galaxy, in the order of increasing [[badness]]. For the rank-4 temperament, see [[Rank-4 temperament #Lehmerismic (3025/3024)]].
+Considered below are skadi, hanuman, and galaxy, in the order of increasing [[badness]]. For the rank-4 temperament, see [[Rank-4 temperament #Lehmerismic (3025/3024)]].
 == Skadi ==
@@ Line 34: / Line 36: @@
 [[Badness]] (Sintel): 0.419
 == Hanuman ==
@@ Line 86: / Line 69: @@
 Badness (Sintel): 0.610
 == Galaxy ==

FloraC: Recategorize

2026-08-15T07:57:34Z

Recategorize

← Older revision		Revision as of 07:57, 15 August 2026
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	Badness (Sintel): 0.888		Badness (Sintel): 0.888

			[[Category:Lehmerismic temperaments\| ]] <!-- main article -->
	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	[[Category:~~Lehmerismic temperaments\| ]] <!~~-~~- main article -->~~		[[Category:Catalogs of rank-3 temperaments]]
	~~[[Category:Rank~~ 3]]

FloraC: Update

2026-06-06T12:15:35Z

Update

← Older revision		Revision as of 12:15, 6 June 2026
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	* ''[[Spectacle]]'' (+225/224 or 243/242) → [[Rastmic rank-3 clan #Spectacle\|Rastmic rank-3 clan]]		* ''[[Spectacle]]'' (+225/224 or 243/242) → [[Rastmic rank-3 clan #Spectacle\|Rastmic rank-3 clan]]
	* ''[[Portent]]'' (+385/384 or 441/440) → [[Gamelismic family #Portent\|Gamelismic family]]		* ''[[Portent]]'' (+385/384 or 441/440) → [[Gamelismic family #Portent\|Gamelismic family]]
	* ''[[Indra]]'' (+540/539) → [[~~Mirkwai family~~ #Indra\|~~Mirkwai family~~]]		* ''[[Indra]]'' (+540/539) → [[Swetismic temperaments #Indra\|Swetismic temperaments]]
	* ''[[Tolerant]]'' (+896/891) → [[Pentacircle clan #Tolerant\|Pentacircle clan]]		* ''[[Tolerant]]'' (+896/891) → [[Pentacircle clan #Tolerant\|Pentacircle clan]]
	* ''[[Freya]]'' (+2401/2400) → [[Breed family #Freya\|Breed family]]		* ''[[Freya]]'' (+2401/2400) → [[Breed family #Freya\|Breed family]]

FloraC: And the reason

2026-04-20T15:05:15Z

And the reason

← Older revision		Revision as of 15:05, 20 April 2026
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	The last generator of lux, represented by [[55/48]], exceeds [[8/7]] by [[385/384]], which is equated with a number of important [[superparticular ratio]]s in the [[13-limit]]: [[325/324]], [[352/351]], [[364/363]], and [[441/440]].		The last generator of lux, represented by [[55/48]], exceeds [[8/7]] by [[385/384]], which is equated with a number of important [[superparticular ratio]]s in the [[13-limit]]: [[325/324]], [[352/351]], [[364/363]], and [[441/440]].

	This temperament was first considered by [[Flora Canou]] in 2021. After a few attempts to come up with a memorable name, ''lux'', suggested by [[Godtone]], who associated certain intervals of 13 with light, was adopted.		This ultra-efficient full 13-limit temperament was first considered by [[Flora Canou]] in 2021. After a few attempts to come up with a memorable name, ''lux'', suggested by [[Godtone]], who associated certain intervals of 13 with light, was adopted.

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

FloraC: Name of lux

2026-04-20T15:03:33Z

Name of lux

← Older revision		Revision as of 15:03, 20 April 2026
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	== Lux ==		== Lux ==
	The last generator of lux, represented by [[55/48]], exceeds [[8/7]] by [[385/384]], which is equated with a number of important [[superparticular ratio]]s in the [[13-limit]]: [[325/324]], [[352/351]], [[364/363]], and [[441/440]].		The last generator of lux, represented by [[55/48]], exceeds [[8/7]] by [[385/384]], which is equated with a number of important [[superparticular ratio]]s in the [[13-limit]]: [[325/324]], [[352/351]], [[364/363]], and [[441/440]].

			This temperament was first considered by [[Flora Canou]] in 2021. After a few attempts to come up with a memorable name, ''lux'', suggested by [[Godtone]], who associated certain intervals of 13 with light, was adopted.

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

FloraC: + link to tyr and others

2026-04-20T14:57:11Z

+ link to tyr and others

← Older revision		Revision as of 14:57, 20 April 2026
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	* ''[[Thor]]'' (+4375/4374) → [[Ragismic family #Thor\|Ragismic family]]		* ''[[Thor]]'' (+4375/4374) → [[Ragismic family #Thor\|Ragismic family]]
	* ''[[Kapo]]'' (+5120/5103) → [[Hemifamity family #Kapo\|Hemifamity family]]		* ''[[Kapo]]'' (+5120/5103) → [[Hemifamity family #Kapo\|Hemifamity family]]
			* ''[[Tyr]]'' (+102487/102400) → [[Landscape family #Tyr\|Landscape family]]

	Considered below are skadi, ganesha, hanuman, lux, and galaxy, in the order of increasing badness. For the rank-4 temperament, see [[Rank-4 temperament #Lehmerismic (3025/3024)]].		Considered below are skadi, ganesha, hanuman, lux, and galaxy, in the order of increasing [[badness]]. For the rank-4 temperament, see [[Rank-4 temperament #Lehmerismic (3025/3024)]].

	== Skadi ==		== Skadi ==
Line 87:		Line 88:

	== Lux ==		== Lux ==
	The last generator of lux, represented by 55/48, exceeds 8/7 by 385/384, which is equated with a number of important superparticular ~~ratios~~ in the 13-limit: 325/324, 352/351, 364/363, and 441/440.		The last generator of lux, represented by [[55/48]], exceeds [[8/7]] by [[385/384]], which is equated with a number of important [[superparticular ratio]]s in the [[13-limit]]: [[325/324]], [[352/351]], [[364/363]], and [[441/440]].

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

FloraC: - tyr (moved to landscape family)

2026-04-20T13:26:04Z

- tyr (moved to landscape family)

@@ Line 14: / Line 14: @@
 * ''[[Kapo]]'' (+5120/5103) → [[Hemifamity family #Kapo|Hemifamity family]]
-Considered below are tyr, skadi, ganesha, hanuman, lux, and galaxy. For the rank-4 temperament, see [[Rank-4 temperament #Lehmerismic (3025/3024)]].
+Considered below are skadi, ganesha, hanuman, lux, and galaxy, in the order of increasing badness. For the rank-4 temperament, see [[Rank-4 temperament #Lehmerismic (3025/3024)]].
 == Skadi ==

FloraC: Switch to Sintel's badness, WE & CWE tunings

2026-04-19T15:36:47Z

Switch to Sintel's badness, WE & CWE tunings

Show changes

← Older revision		Revision as of 12:15, 6 June 2026
Line 7:		Line 7:
	* ''[[Spectacle]]'' (+225/224 or 243/242) → [[Rastmic rank-3 clan #Spectacle\|Rastmic rank-3 clan]]		* ''[[Spectacle]]'' (+225/224 or 243/242) → [[Rastmic rank-3 clan #Spectacle\|Rastmic rank-3 clan]]
	* ''[[Portent]]'' (+385/384 or 441/440) → [[Gamelismic family #Portent\|Gamelismic family]]		* ''[[Portent]]'' (+385/384 or 441/440) → [[Gamelismic family #Portent\|Gamelismic family]]
	* ''[[Indra]]'' (+540/539) → [[~~Mirkwai family~~ #Indra\|~~Mirkwai family~~]]		* ''[[Indra]]'' (+540/539) → [[Swetismic temperaments #Indra\|Swetismic temperaments]]
	* ''[[Tolerant]]'' (+896/891) → [[Pentacircle clan #Tolerant\|Pentacircle clan]]		* ''[[Tolerant]]'' (+896/891) → [[Pentacircle clan #Tolerant\|Pentacircle clan]]
	* ''[[Freya]]'' (+2401/2400) → [[Breed family #Freya\|Breed family]]		* ''[[Freya]]'' (+2401/2400) → [[Breed family #Freya\|Breed family]]