Mabila family - Revision history

FloraC: Re-organize the page. Note the equivalence continuum it belongs to. + overview to extensions

2026-06-23T03:11:46Z

Re-organize the page. Note the equivalence continuum it belongs to. + overview to extensions

← Older revision		Revision as of 03:11, 23 June 2026
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	{{Technical data page}}		{{Technical data page}}
	The '''mabila family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[mabila comma]] ({{monzo\|legend=1\| 28 -3 -10 }}, [[ratio]]: 268435456/263671875) in the [[5-limit]]. This gives a temperament structure superficially similar to [[mavila]], with extremely sharp fourths/flat fifths, three of which make a major third. However, unlike mavila, 10 of these bad fifths reach a more in tune one, which is useful for creating resolutions when using a large enough gamut, such as the [[9L 7s]] [[mos]] which has 3 good major and minor chords.		The '''mabila family''' of [[regular temperament\|temperaments]] [[tempering out\|tempers out]] the [[mabila comma]] ({{monzo\|legend=1\| 28 -3 -10 }}, [[ratio]]: 268435456/263671875) in the [[5-limit]].

	== Mabila ==		== Mabila ==
	: ''"Mabila" redirects here. For the temperaments that used to go by this name, see [[Semabila]] and [[Mabilic]].''		: ''"Mabila" redirects here. For the temperaments that used to go by this name, see [[Semabila]] and [[Mabilic]].''

			Mabila has a temperament structure superficially similar to [[mavila]], with extremely sharp fourths/flat fifths, three of which make a major third. However, unlike mavila, 10 of these bad fifths reach a more in tune one, which is useful for creating resolutions when using a large enough gamut, such as the [[9L 7s]] [[mos]] which has 3 good major and minor chords.

			Mabila is part of the [[diaschismic–gothmic equivalence continuum]] with {{nowrap\| ''n'' {{=}} 5 }}.

	[[Subgroup]]: 2.3.5		[[Subgroup]]: 2.3.5
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	[[Badness]] (Sintel): 5.45		[[Badness]] (Sintel): 5.45

			=== Overview to extensions ===
			The second comma in the comma list defines which 7-limit family member we are looking at. Amavil (9 & 43) adds [[225/224]], semabila (9 & 25) adds [[49/48]], tuscaloosa (77 & 111) adds [[19683/19600]], muscogee (43 & 77) adds [[126/125]]. These all use the same generators as mabila.

			Cohemimabila (25 & 43) tempers out [[3136/3125]], splitting the subfifth in two. Hemimabila (9 & 68) tempers out [[6144/6125]], splitting the subtwelfth in two. Trimabila (9 & 111) tempers out [[1728/1715]], with a 1/3-octave period.

	== Amavil ==		== Amavil ==
	Named by [[Petr Pařízek]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group \| ''Suggested names for the unclasified temperaments'']</ref>, amavil tempers out [[225/224]] and may be described as the {{nowrap\| ~~34d~~ & 43 }} temperament.		Named by [[Petr Pařízek]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group \| ''Suggested names for the unclasified temperaments'']</ref>, amavil tempers out [[225/224]] and may be described as the {{nowrap\| 9 & 43 }} temperament.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	{{See also\| No-threes subgroup temperaments #Mabilic }}		{{See also\| No-threes subgroup temperaments #Mabilic }}

	Semabila tempers out [[49/48]] and may be described as the {{nowrap\| 25 ~~& 34~~ }} temperament.		Semabila tempers out [[49/48]] and may be described as the {{nowrap\| 9 & 25 }} temperament.

	This temperament used to known as ''septimal mabila''. Semabila, by [[Lériendil]] in 2024, was so named because it was a semaphore temperament.		This temperament used to known as ''septimal mabila''. Semabila, by [[Lériendil]] in 2024, was so named because it was a semaphore temperament.

FloraC: /* Mabila */ fix an error

2026-06-22T19:28:28Z

Mabila: fix an error

← Older revision		Revision as of 19:28, 22 June 2026
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	: [[error map]]: {{val\| -0.646 +0.173 +1.240 }}		: [[error map]]: {{val\| -0.646 +0.173 +1.240 }}
	* [[CWE]]: ~2 = 1200.0000{{c}}, ~375/256 = 670.2921{{c}}		* [[CWE]]: ~2 = 1200.0000{{c}}, ~375/256 = 670.2921{{c}}
	: error map: {{val\| -0.~~646~~ +0.~~173~~ +1.~~240~~ }}		: error map: {{val\| 0.000 +0.966 +2.810 }}

	{{Optimal ET sequence\|legend=1\| 9, 25, 34, 77, 111, 145, 256c }}		{{Optimal ET sequence\|legend=1\| 9, 25, 34, 77, 111, 145, 256c }}

FloraC: + intros

2026-02-26T11:52:22Z

+ intros

← Older revision		Revision as of 11:52, 26 February 2026
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	== Mabila ==		== Mabila ==
			: ''"Mabila" redirects here. For the temperaments that used to go by this name, see [[Semabila]] and [[Mabilic]].''

	[[Subgroup]]: 2.3.5		[[Subgroup]]: 2.3.5

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	{{See also\| No-threes subgroup temperaments #Mabilic }}		{{See also\| No-threes subgroup temperaments #Mabilic }}

	Semabila is so named because it is a semaphore temperament.		Semabila tempers out [[49/48]] and may be described as the {{nowrap\| 25 & 34 }} temperament.

			This temperament used to known as ''septimal mabila''. Semabila, by [[Lériendil]] in 2024, was so named because it was a semaphore temperament.

	[[Subgroup]]: 2.3.5.7		[[Subgroup]]: 2.3.5.7
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	== Tuskaloosa ==		== Tuskaloosa ==
			Named by [[Xenllium]] in 2022, tuskaloosa tempers out [[19683/19600]] and may be described as the {{nowrap\| 34d & 77 }} temperament.

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

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	== Muscogee ==		== Muscogee ==
			Named by [[Xenllium]] in 2022, muscogee tempers out [[126/125]] and may be described as the {{nowrap\| 43 & 77 }} temperament.

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

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	== Cohemimabila ==		== Cohemimabila ==
			Named by [[Xenllium]] in 2022, cohemimabila tempers out [[3136/3125]] as well as [[65536/64827]] and may be described as the {{nowrap\| 43 & 68 }} temperament.

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

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	== Trimabila ==		== Trimabila ==
			Named by [[Xenllium]] in 2022, trimabila tempers out [[1728/1715]] and may be described as the {{nowrap\| 9 & 111 }} temperament.

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

FloraC: Sorting

2026-02-26T11:35:50Z

Sorting

Show changes

FloraC: - redundant category

2026-02-25T19:56:07Z

- redundant category

← Older revision		Revision as of 19:56, 25 February 2026
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	[[Category:Temperament families]]		[[Category:Temperament families]]
	[[Category:Mabila family\| ]] <!-- main article -->		[[Category:Mabila family\| ]] <!-- main article -->
	~~[[Category:Mabila\| ]] <!-- key article -->~~
	[[Category:Rank 2]]		[[Category:Rank 2]]

FloraC: - POTE tunings

2026-02-25T19:55:50Z

- POTE tunings

Show changes

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

2026-02-25T19:54:24Z

Switch to Sintel's badness, WE & CWE tunings

Show changes

FloraC: Source for amavil

2026-02-23T10:57:50Z

Source for *amavil*

← Older revision		Revision as of 10:57, 23 February 2026
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	== Amavil ==		== Amavil ==
			Named by [[Petr Pařízek]] in 2011<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_101780.html Yahoo! Tuning Group \| ''Suggested names for the unclasified temperaments'']</ref>, amavil tempers out [[225/224]] and may be described as the {{nowrap\| 34d & 43 }} temperament.

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

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	Badness (Smith): 0.022851		Badness (Smith): 0.022851

			== References ==

	[[Category:Temperament families]]		[[Category:Temperament families]]

FloraC: Units & misc. cleanup

2026-02-23T10:54:13Z

Units & misc. cleanup

Show changes

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

2025-11-27T12:21:27Z

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

← Older revision		Revision as of 12:21, 27 November 2025
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	[[Category:Temperament families]]		[[Category:Temperament families]]
	~~[[Category:Pages with mostly numerical content]]~~
	[[Category:Mabila family\| ]] <!-- main article -->		[[Category:Mabila family\| ]] <!-- main article -->
	[[Category:Mabila\| ]] <!-- key article -->		[[Category:Mabila\| ]] <!-- key article -->
	[[Category:Rank 2]]		[[Category:Rank 2]]

Mabila family - Revision history

FloraC: Re-organize the page. Note the equivalence continuum it belongs to. + overview to extensions

FloraC: /* Mabila */ fix an error

FloraC: + intros

FloraC: Sorting

FloraC: - redundant category

FloraC: - POTE tunings

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

FloraC: Source for *amavil*

FloraC: Units & misc. cleanup

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

FloraC: Source for amavil