Quartonic family - Revision history

FloraC: Recategorize

2026-08-14T12:17:12Z

Recategorize

← Older revision		Revision as of 12:17, 14 August 2026
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	Badness (Sintel): 3.42		Badness (Sintel): 3.42

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

FloraC: Switch to Sintel's badness, WE & CWE tunings (2/2)

2026-08-03T06:13:35Z

Switch to Sintel's badness, WE & CWE tunings (2/2)

Show changes

FloraC: Switch to Sintel's badness, WE & CWE tunings (1/)

2026-08-03T05:32:41Z

Switch to Sintel's badness, WE & CWE tunings (1/)

Show changes

FloraC: Units; misc. cleanup; - redundant category

2026-08-02T15:46:52Z

Units; misc. cleanup; - redundant category

Show changes

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

2025-11-27T12:19:13Z

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

← Older revision		Revision as of 12:19, 27 November 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Quartonic family\| ]] <!-- main article -->		[[Category:Quartonic family\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

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

2025-06-24T00:32:31Z

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

← Older revision		Revision as of 00:32, 24 June 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
			[[Category:Pages with mostly numerical content]]
	[[Category:Quartonic family\| ]] <!-- main article -->		[[Category:Quartonic family\| ]] <!-- main article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

VectorGraphics at 04:46, 12 June 2025

2025-06-12T04:46:55Z

← Older revision		Revision as of 04:46, 12 June 2025
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	{{Mapping\|legend=1\| 1 2 3 3 \| 0 -11 -18 -5 }}		{{Mapping\|legend=1\| 1 2 3 3 \| 0 -11 -18 -5 }}

	~~{{Multival\|legend=1\| 11 18 5 3 -23 -39 }}~~

	[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~36/35 = 45.2652		[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~36/35 = 45.2652
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	{{Mapping\|legend=1\| 1 2 3 4 \| 0 -33 -54 -95 }}		{{Mapping\|legend=1\| 1 2 3 4 \| 0 -33 -54 -95 }}

	~~{{Multival\|legend=1\| 33 54 95 9 58 69 }}~~

	[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~126/125 = 15.0714		[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~126/125 = 15.0714
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	{{Mapping\|legend=1\| 1 2 3 2 \| 0 -33 -54 64 }}		{{Mapping\|legend=1\| 1 2 3 2 \| 0 -33 -54 64 }}

	~~{{Multival\|legend=1\| 33 54 -64 9 -194 -300 }}~~

	[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~875/864 = 15.0995		[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~875/864 = 15.0995
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	{{Mapping\|legend=1\| 1 13 21 15 \| 0 -44 -72 -47 }}		{{Mapping\|legend=1\| 1 13 21 15 \| 0 -44 -72 -47 }}

	~~{{Multival\|legend=1\| 44 72 47 12 -49 -93 }}~~

	[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~875/729 = 311.308		[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~875/729 = 311.308
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	{{Mapping\|legend=1\| 3 6 9 10 \| 0 -11 -18 -14 }}		{{Mapping\|legend=1\| 3 6 9 10 \| 0 -11 -18 -14 }}

	~~{{Multival\|legend=1\| 33 54 42 9 -26 -54 }}~~

	[[Optimal tuning]] ([[CTE]]): ~63/50 = 1\3, ~250/243 = 45.2083		[[Optimal tuning]] ([[CTE]]): ~63/50 = 1\3, ~250/243 = 45.2083
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	{{Mapping\|legend=1\| 4 8 12 15 \| 0 -11 -18 -25 }}		{{Mapping\|legend=1\| 4 8 12 15 \| 0 -11 -18 -25 }}

	~~{{Multival\|legend=1\| 44 72 100 12 35 30 }}~~

	[[Optimal tuning]] ([[CTE]]): ~25/21 = 1\4, ~250/243 = 45.2411		[[Optimal tuning]] ([[CTE]]): ~25/21 = 1\4, ~250/243 = 45.2411
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	{{Mapping\|legend=1\| 5 10 15 18 \| 0 -11 -18 -21 }}		{{Mapping\|legend=1\| 5 10 15 18 \| 0 -11 -18 -21 }}

	~~{{Multival\|legend=1\| 55 90 105 15 12 -9 }}~~

	[[Optimal tuning]] ([[CTE]]): ~35721/31250 = 1\5, ~250/243 = 45.2563		[[Optimal tuning]] ([[CTE]]): ~35721/31250 = 1\5, ~250/243 = 45.2563

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

" to "{{Technical data page}}"

2025-04-13T13:46:21Z

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

← Older revision		Revision as of 13:46, 13 April 2025
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	{{Technical data page}}~~<br><br>~~		{{Technical data page}}
	The '''quartonic family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[quartonic comma]], {{monzo\| 3 -18 11 }} = 390625000/387420489.		The '''quartonic family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[quartonic comma]], {{monzo\| 3 -18 11 }} = 390625000/387420489.

BudjarnLambeth: {{Technical data page}}

2025-04-13T05:36:49Z

{{Technical data page}}<br><br>

← Older revision		Revision as of 05:36, 13 April 2025
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			{{Technical data page}}<br><br>
	The '''quartonic family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[quartonic comma]], {{monzo\| 3 -18 11 }} = 390625000/387420489.		The '''quartonic family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[quartonic comma]], {{monzo\| 3 -18 11 }} = 390625000/387420489.

FloraC: +a note on an extra comma tempered out by septimal quartonic. Fix grammar.

2024-09-18T10:11:38Z

+a note on an extra comma tempered out by septimal quartonic. Fix grammar.

← Older revision		Revision as of 10:11, 18 September 2024
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	The '''quartonic family''' of [[regular temperament\|temperaments]] [[tempering out\|~~temper~~ out]] the [[quartonic comma]], {{monzo\| 3 -18 11 }} = 390625000/387420489.		The '''quartonic family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[quartonic comma]], {{monzo\| 3 -18 11 }} = 390625000/387420489.

	== Quartonic ==		== Quartonic ==
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	=== Overview to extensions ===		=== Overview to extensions ===
	The second comma of the [[Normal lists #Normal interval list\|normal comma list]] defines which 7-limit family member we are looking at.		The second comma of the [[Normal lists #Normal interval list\|normal comma list]] defines which 7-limit family member we are looking at.
	* [[1728/1715]] or [[4000/3969]] gives septimal quartonic, with interpretation of the generator ~36/35.		* [[1728/1715]] or [[4000/3969]] gives septimal quartonic, with interpretation of the generator ~36/35. It also tempers out [[4375/4374]].
	* [[Hemimage comma\|10976/10935]] gives yarman I (80 & 159) and slices the quartonic generator in three.		* [[Hemimage comma\|10976/10935]] gives yarman I (80 & 159) and slices the quartonic generator in three.
	* 5359375/5308416 gives yarman II (79 & 159) and slices the quartonic generator in three.		* 5359375/5308416 gives yarman II (79 & 159) and slices the quartonic generator in three.

Quartonic family - Revision history

FloraC: Recategorize

FloraC: Switch to Sintel's badness, WE & CWE tunings (2/2)

FloraC: Switch to Sintel's badness, WE & CWE tunings (1/)

FloraC: Units; misc. cleanup; - redundant category

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

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

VectorGraphics at 04:46, 12 June 2025

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

BudjarnLambeth: {{Technical data page}}

FloraC: +a note on an extra comma tempered out by septimal quartonic. Fix grammar.

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

" to "{{Technical data page}}"