Metric microtemperaments - Revision history

FloraC: Sort by badness

2026-06-09T05:58:48Z

Sort by badness

Show changes

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

2026-06-09T05:55:59Z

Switch to Sintel's badness, WE & CWE tunings

Show changes

FloraC: Rework on intro. + units. - redundant categories

2026-06-03T15:34:22Z

Rework on intro. + units. - redundant categories

Show changes

FloraC: Update the links

2026-04-19T11:02:35Z

Update the links

← Older revision		Revision as of 11:02, 19 April 2026
Line 1:		Line 1:
	{{Technical data page}}		{{Technical data page}}
	These are [[~~Rank~~-2 temperament\|rank-2]] [[temperament]]s that [[~~Tempering~~ out\|temper out]] the [[meter]], 703125/702464 = {{monzo\| -11 2 7 -3 }}.		These are [[rank-2 temperament\|rank-2]] [[temperament]]s that [[tempering out\|temper out]] the [[meter]], 703125/702464 = {{monzo\| -11 2 7 -3 }}.

	Temperaments discussed elsewhere include:		Temperaments discussed elsewhere include:
	* ''[[Meantone]]'' (+81/80 or 126/125) → [[Meantone family #Septimal meantone\|Meantone family]]		* [[Meantone]] (+81/80 or 126/125) → [[Meantone family #Septimal meantone\|Meantone family]]
	* ''[[Triwell]]'' (+1029/1024) → [[Semicomma family #Triwell\|Semicomma family]]		* ''[[Triwell]]'' (+1029/1024) → [[Semicomma family #Triwell\|Semicomma family]]
	* ''[[Tertiaseptal]]'' (+2401/2400) → [[Breedsmic temperaments #Tertiaseptal\|Breedsmic temperaments]]		* [[Tertiaseptal]] (+2401/2400) → [[Breedsmic temperaments #Tertiaseptal\|Breedsmic temperaments]]
	* ''[[Quintupole]]'' (+4000/3969) → [[Quintaleap family #Quintupole\|Quintaleap family]]		* ''[[Quintupole]]'' (+4000/3969) → [[Quintaleap family #Quintupole\|Quintaleap family]]
	* ''[[Enneadecal]]'' (+4375/4374) → [[Ragismic microtemperaments #Enneadecal\|Ragismic microtemperaments]]		* ''[[Enneadecal]]'' (+4375/4374) → [[Ragismic microtemperaments #Enneadecal\|Ragismic microtemperaments]]
	* ''[[Undim]]'' (+5120/5103) → [[Undim family #Septimal undim\|Undim family]]		* ''[[Undim]]'' (+5120/5103) → [[Undim family #Septimal undim\|Undim family]]
	* ''[[Grendel]]'' (+6144/6125) → [[~~Mirkwai clan~~ #Grendel\|~~Mirkwai clan~~]]		* ''[[Grendel]]'' (+6144/6125) → [[Porwell temperaments #Grendel\|Porwell temperaments]]
	* ''[[Marfifths]]'' (+10976/10935) → [[Kleismic family #Marfifths\|Kleismic family]]		* ''[[Marfifths]]'' (+10976/10935) → [[Kleismic family #Marfifths\|Kleismic family]]
	* ''[[Term]]'' (+32805/32768) → [[Schismatic family #Term\|Schismatic family]]		* ''[[Term]]'' (+32805/32768) → [[Schismatic family #Term\|Schismatic family]]

FloraC: Text replacement - "Category:Temperament collections↵Category:Pages with mostly numerical content" to "Category:Temperament collections"

2025-11-27T12:27:22Z

Text replacement - "Category:Temperament collections↵Category:Pages with mostly numerical content" to "Category:Temperament collections"

← Older revision		Revision as of 12:27, 27 November 2025
Line 195:		Line 195:

	[[Category:Temperament collections]]		[[Category:Temperament collections]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Metric microtemperaments\| ]] <!-- main article -->		[[Category:Metric microtemperaments\| ]] <!-- main article -->
	[[Category:Metric\| ]] <!-- key article -->		[[Category:Metric\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]
	[[Category:Microtemperaments]]		[[Category:Microtemperaments]]

BudjarnLambeth at 01:14, 20 October 2025

2025-10-20T01:14:10Z

← Older revision		Revision as of 01:14, 20 October 2025
Line 180:		Line 180:
	: ''For the 5-limit version, see [[Syntonic–chromatic equivalence continuum #Geb (5-limit)]].''		: ''For the 5-limit version, see [[Syntonic–chromatic equivalence continuum #Geb (5-limit)]].''

	The geb temperament (171 & 506, named after the earth god of ancient Egyptian religion) tempers out the meter and the [[euzenius comma]] (78125000/78121827) as well as [[~~skeetsma~~]] (14348907/14336000) in the 7-limit. [[Osiris]] (171 & 670, named after the eldest son of Geb) tempers out the same 5-limit comma as the geb, but with the [[2401/2400\|breedsma]] rather than the meter tempered out.		The geb temperament (171 & 506, named after the earth god of ancient Egyptian religion) tempers out the meter and the [[euzenius comma]] (78125000/78121827) as well as [[scheme comma]] (14348907/14336000) in the 7-limit. [[Osiris]] (171 & 670, named after the eldest son of Geb) tempers out the same 5-limit comma as the geb, but with the [[2401/2400\|breedsma]] rather than the meter tempered out.

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

FloraC: Move 5-limit geb to 7et's continuum

2025-09-06T11:08:42Z

Move 5-limit geb to 7et's continuum

← Older revision		Revision as of 11:08, 6 September 2025
Line 178:		Line 178:

	== Geb ==		== Geb ==
	~~The geb temperament (171 & 506, named after the earth god of ancient Egyptian religion) tempers out {{monzo\| -31 43 -16 }} (quadla-quadquadgu) in~~ the 5-limit~~; the meter and the euzenius comma, 78125000/78121827 as well as skeetsma (14348907/14336000~~, ~~lalarutrigu) in the 7-limit.~~ [[~~Breedsmic temperaments~~ #~~Osiris\|Osiris temperament]]~~ (~~171&670, named after the eldest son of Geb) tempers out the same~~ 5-limit ~~comma as the geb, but with the [[2401/2400\|breedsma~~]] ~~rather than the meter tempered out~~.		: ''For the 5-limit version, see [[Syntonic–chromatic equivalence continuum #Geb (5-limit)]].''

	[[~~Subgroup~~]]~~: 2~~.3.5		The geb temperament (171 & 506, named after the earth god of ancient Egyptian religion) tempers out the meter and the [[euzenius comma]] (78125000/78121827) as well as [[skeetsma]] (14348907/14336000) in the 7-limit. [[Osiris]] (171 & 670, named after the eldest son of Geb) tempers out the same 5-limit comma as the geb, but with the [[2401/2400\|breedsma]] rather than the meter tempered out.

	~~[[Comma list]]: {{monzo\| -31 43 -16 }}~~

	~~{{Mapping\|legend=1\| 1 -3 -10 \| 0 16 43 }}~~

	~~[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8000/6561 = 343.868~~

	~~{{Optimal ET sequence\|legend=1\| 7, 143c, 150c, 157, 164, 171, 506, 677, 848 }}~~

	~~[[Badness]]: 0.118577~~

	~~=== 7-limit ===~~
	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7

Lériendil: Text replacement - "Category:Temperament collections" to "Category:Temperament collections Category:Pages with mostly numerical content"

2025-06-24T00:37:07Z

Text replacement - "Category:Temperament collections" to "Category:Temperament collections Category:Pages with mostly numerical content"

← Older revision		Revision as of 00:37, 24 June 2025
Line 206:		Line 206:

	[[Category:Temperament collections]]		[[Category:Temperament collections]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Metric microtemperaments\| ]] <!-- main article -->		[[Category:Metric microtemperaments\| ]] <!-- main article -->
	[[Category:Metric\| ]] <!-- key article -->		[[Category:Metric\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]
	[[Category:Microtemperaments]]		[[Category:Microtemperaments]]

VectorGraphics at 04:45, 12 June 2025

2025-06-12T04:45:22Z

← Older revision		Revision as of 04:45, 12 June 2025
Line 23:		Line 23:

	{{Mapping\|legend=1\| 1 0 5 8 \| 0 29 -49 -95 }}		{{Mapping\|legend=1\| 1 0 5 8 \| 0 29 -49 -95 }}

	~~{{Multival\|legend=1\| 29 -49 -95 -145 -232 -82 }}~~

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8505/8192 = 65.5883		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8505/8192 = 65.5883
Line 79:		Line 77:

	{{Mapping\|legend=1\| 10 3 20 12 \| 0 4 1 5 }}		{{Mapping\|legend=1\| 10 3 20 12 \| 0 4 1 5 }}

	~~{{Multival\|legend=1\| 40 10 50 -77 -33 88 }}~~

	[[Optimal tuning]] ([[POTE]]): ~15/14 = 1\10, ~5/4 = 385.495		[[Optimal tuning]] ([[POTE]]): ~15/14 = 1\10, ~5/4 = 385.495
Line 135:		Line 131:

	{{Mapping\|legend=1\| 1 4 0 -1 \| 0 -26 25 41 }}		{{Mapping\|legend=1\| 1 4 0 -1 \| 0 -26 25 41 }}

	~~{{Multival\|legend=1\| 26 -25 -41 -100 -138 -25 }}~~

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~16/15 = 111.453		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~16/15 = 111.453
Line 204:		Line 198:

	{{Mapping\|legend=1\| 1 -3 -10 -29 \| 0 16 43 111 }}		{{Mapping\|legend=1\| 1 -3 -10 -29 \| 0 16 43 111 }}

	~~{{Multival\|legend=1\| 16 43 111 31 131 137 }}~~

	[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8000/6561 = 343.863		[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8000/6561 = 343.863

FloraC: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"

2025-04-13T13:43:14Z

Text replacement - "{{Technical data page}}<br><br>" to "{{Technical data page}}"

← Older revision		Revision as of 13:43, 13 April 2025
Line 1:		Line 1:
	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	These are [[Rank-2 temperament\|rank-2]] [[temperament]]s that [[Tempering out\|temper out]] the [[meter]], 703125/702464 = {{monzo\| -11 2 7 -3 }}.		These are [[Rank-2 temperament\|rank-2]] [[temperament]]s that [[Tempering out\|temper out]] the [[meter]], 703125/702464 = {{monzo\| -11 2 7 -3 }}.

← Older revision		Revision as of 11:02, 19 April 2026
Line 1:		Line 1:
	{{Technical data page}}		{{Technical data page}}
	These are [[~~Rank~~-2 temperament\|rank-2]] [[temperament]]s that [[~~Tempering~~ out\|temper out]] the [[meter]], 703125/702464 = {{monzo\| -11 2 7 -3 }}.		These are [[rank-2 temperament\|rank-2]] [[temperament]]s that [[tempering out\|temper out]] the [[meter]], 703125/702464 = {{monzo\| -11 2 7 -3 }}.

	Temperaments discussed elsewhere include:		Temperaments discussed elsewhere include:
	* ''[[Meantone]]'' (+81/80 or 126/125) → [[Meantone family #Septimal meantone\|Meantone family]]		* [[Meantone]] (+81/80 or 126/125) → [[Meantone family #Septimal meantone\|Meantone family]]
	* ''[[Triwell]]'' (+1029/1024) → [[Semicomma family #Triwell\|Semicomma family]]		* ''[[Triwell]]'' (+1029/1024) → [[Semicomma family #Triwell\|Semicomma family]]
	* ''[[Tertiaseptal]]'' (+2401/2400) → [[Breedsmic temperaments #Tertiaseptal\|Breedsmic temperaments]]		* [[Tertiaseptal]] (+2401/2400) → [[Breedsmic temperaments #Tertiaseptal\|Breedsmic temperaments]]
	* ''[[Quintupole]]'' (+4000/3969) → [[Quintaleap family #Quintupole\|Quintaleap family]]		* ''[[Quintupole]]'' (+4000/3969) → [[Quintaleap family #Quintupole\|Quintaleap family]]
	* ''[[Enneadecal]]'' (+4375/4374) → [[Ragismic microtemperaments #Enneadecal\|Ragismic microtemperaments]]		* ''[[Enneadecal]]'' (+4375/4374) → [[Ragismic microtemperaments #Enneadecal\|Ragismic microtemperaments]]
	* ''[[Undim]]'' (+5120/5103) → [[Undim family #Septimal undim\|Undim family]]		* ''[[Undim]]'' (+5120/5103) → [[Undim family #Septimal undim\|Undim family]]
	* ''[[Grendel]]'' (+6144/6125) → [[~~Mirkwai clan~~ #Grendel\|~~Mirkwai clan~~]]		* ''[[Grendel]]'' (+6144/6125) → [[Porwell temperaments #Grendel\|Porwell temperaments]]
	* ''[[Marfifths]]'' (+10976/10935) → [[Kleismic family #Marfifths\|Kleismic family]]		* ''[[Marfifths]]'' (+10976/10935) → [[Kleismic family #Marfifths\|Kleismic family]]
	* ''[[Term]]'' (+32805/32768) → [[Schismatic family #Term\|Schismatic family]]		* ''[[Term]]'' (+32805/32768) → [[Schismatic family #Term\|Schismatic family]]

Metric microtemperaments - Revision history

FloraC: Sort by badness

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

FloraC: Rework on intro. + units. - redundant categories

FloraC: Update the links

FloraC: Text replacement - "Category:Temperament collections↵Category:Pages with mostly numerical content" to "Category:Temperament collections"

BudjarnLambeth at 01:14, 20 October 2025

FloraC: Move 5-limit geb to 7et's continuum

Lériendil: Text replacement - "Category:Temperament collections" to "Category:Temperament collections Category:Pages with mostly numerical content"

VectorGraphics at 04:45, 12 June 2025

FloraC: Text replacement - "{{Technical data page}}" to "{{Technical data page}}"

FloraC: Text replacement - "{{Technical data page}}

" to "{{Technical data page}}"