Mavila - Revision history

Fitzgerald Lee: /* Tuning spectrum */Added 11edo

2026-03-07T10:01:34Z

Tuning spectrum: Added 11edo

← Older revision		Revision as of 10:01, 7 March 2026
Line 160:		Line 160:
	\| 648.682		\| 648.682
	\|		\|
			\|-
			\| 6\11
			\|
			\| 654.545
			\|
	\|-		\|-
	\|		\|

FloraC: Cleanup on infobox

2026-02-09T09:23:58Z

Cleanup on infobox

← Older revision		Revision as of 09:23, 9 February 2026
Line 7:		Line 7:
	\| Mapping = 1; 1 -3 -1		\| Mapping = 1; 1 -3 -1
	\| Edo join 1 = 7 \| Edo join 2 = 9		\| Edo join 1 = 7 \| Edo join 2 = 9
	\| ~~Generator~~ = 3/2		\| Generators = 3/2
	\| ~~Generator~~ tuning = 679.0		\| Generators tuning = 679.0
	\| Optimization method = CWE		\| Optimization method = CWE
	\| Pergen = (P8, P5)		\| Pergen = (P8, P5)
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	\| MOS scales = [[2L 3s]], [[2L 5s]], [[7L 2s]]		\| MOS scales = [[2L 3s]], [[2L 5s]], [[7L 2s]]
	\| Odd limit 1 = 5 \| Mistuning 1 = 23.0 \| Complexity 1 = 5		\| Odd limit 1 = 5 \| Mistuning 1 = 23.0 \| Complexity 1 = 5
	\| Odd limit 2 = (2.3.5.11) 11 \| Mistuning 2 = 36.9 \| Complexity 2 = 7		\| Odd limit 2 = 2.3.5.11 11 \| Mistuning 2 = 36.9 \| Complexity 2 = 7
	}}		}}
	'''Mavila''' is a [[regular temperament\|temperament]] where the major chroma, [[135/128]], is [[tempering out\|tempered out]]. Like [[meantone]], mavila is based on the [[chain of fifths]], but as a result of tempering out 135/128 rather than [[81/80]], the fifths are supposedly very flat ({{nowrap\|~{{dash\|670, 680}}}}{{c}} or so), flatter than even that of [[7edo]] (4\7). Consequently, stacking 7 of these fifths gives you an [[2L 5s\|antidiatonic]] [[mos scale]], where in a certain sense, major and minor intervals get reversed. For example, stacking four fifths and octave-reducing now gets you a [[6/5]] ''minor'' third, whereas stacking three fourths and octave-reducing now gets you a [[5/4]] ''major'' third. Note that since we have a heptatonic scale, terms like ''fifths'', ''thirds'', etc. make perfect sense and really are the fifth, third, etc. steps in the antidiatonic scale.		'''Mavila''' is a [[regular temperament\|temperament]] where the major chroma, [[135/128]], is [[tempering out\|tempered out]]. Like [[meantone]], mavila is based on the [[chain of fifths]], but as a result of tempering out 135/128 rather than [[81/80]], the fifths are supposedly very flat ({{nowrap\|~{{dash\|670, 680}}}}{{c}} or so), flatter than even that of [[7edo]] (4\7). Consequently, stacking 7 of these fifths gives you an [[2L 5s\|antidiatonic]] [[mos scale]], where in a certain sense, major and minor intervals get reversed. For example, stacking four fifths and octave-reducing now gets you a [[6/5]] ''minor'' third, whereas stacking three fourths and octave-reducing now gets you a [[5/4]] ''major'' third. Note that since we have a heptatonic scale, terms like ''fifths'', ''thirds'', etc. make perfect sense and really are the fifth, third, etc. steps in the antidiatonic scale.

FloraC: /* Tunings */ I'm not fond these parentheses

2025-12-13T06:47:56Z

Tunings: I'm not fond these parentheses

← Older revision		Revision as of 06:47, 13 December 2025
Line 219:		Line 219:
	\| 9/5		\| 9/5
	\| 683.519		\| 683.519
	\| 1/5 comma, (5-limit) 9-odd-limit minimax		\| 1/5 comma, 5-limit 9-odd-limit minimax
	\|-		\|-
	\|		\|
Line 229:		Line 229:
	\|		\|
	\| 685.714		\| 685.714
	\| Upper bound of 5-odd-limit diamond monotone<br />(5-limit) 9-odd-limit~~, (~~2.3.5.11) 11-odd-limit diamond monotone (singleton)		\| Upper bound of 5-odd-limit diamond monotone<br>5-limit 9-odd-limit and 2.3.5.11-subgroup 11-odd-limit diamond monotone (singleton)
	\|-		\|-
	\|		\|

Overthink: /* Tuning spectrum */ + parentheses

2025-12-12T23:06:09Z

Tuning spectrum: + parentheses

← Older revision		Revision as of 23:06, 12 December 2025
Line 219:		Line 219:
	\| 9/5		\| 9/5
	\| 683.519		\| 683.519
	\| 1/5 comma, 5-limit 9-odd-limit minimax		\| 1/5 comma, (5-limit) 9-odd-limit minimax
	\|-		\|-
	\|		\|
Line 229:		Line 229:
	\|		\|
	\| 685.714		\| 685.714
	\| Upper bound of 5-odd-limit diamond monotone<br />5-limit 9-odd-limit, (2.3.5.11) 11-odd-limit diamond monotone (singleton)		\| Upper bound of 5-odd-limit diamond monotone<br />(5-limit) 9-odd-limit, (2.3.5.11) 11-odd-limit diamond monotone (singleton)
	\|-		\|-
	\|		\|

Overthink: /* Tuning spectrum */ added (2.3.5.11) 11-odd-limit monotone note

2025-12-12T23:05:22Z

Tuning spectrum: added (2.3.5.11) 11-odd-limit monotone note

← Older revision		Revision as of 23:05, 12 December 2025
Line 229:		Line 229:
	\|		\|
	\| 685.714		\| 685.714
	\| Upper bound of 5-odd-limit diamond monotone<br />5-limit 9-odd-limit diamond monotone (singleton)		\| Upper bound of 5-odd-limit diamond monotone<br />5-limit 9-odd-limit, (2.3.5.11) 11-odd-limit diamond monotone (singleton)
	\|-		\|-
	\|		\|

Overthink: updated info

2025-12-12T23:03:06Z

updated info

← Older revision		Revision as of 23:03, 12 December 2025
Line 13:		Line 13:
	\| Color name = Layobiti		\| Color name = Layobiti
	\| MOS scales = [[2L 3s]], [[2L 5s]], [[7L 2s]]		\| MOS scales = [[2L 3s]], [[2L 5s]], [[7L 2s]]
	\| Odd limit 1 = 5 \| Mistuning 1 = 23.0 \| Complexity 1 = 9		\| Odd limit 1 = 5 \| Mistuning 1 = 23.0 \| Complexity 1 = 5
	\| Odd limit 2 = (5~~-limit~~) 9 \| Mistuning 2 = 36.9 \| Complexity 2 = 16		\| Odd limit 2 = (2.3.5.11) 11 \| Mistuning 2 = 36.9 \| Complexity 2 = 7
	}}		}}
	'''Mavila''' is a [[regular temperament\|temperament]] where the major chroma, [[135/128]], is [[tempering out\|tempered out]]. Like [[meantone]], mavila is based on the [[chain of fifths]], but as a result of tempering out 135/128 rather than [[81/80]], the fifths are supposedly very flat ({{nowrap\|~{{dash\|670, 680}}}}{{c}} or so), flatter than even that of [[7edo]] (4\7). Consequently, stacking 7 of these fifths gives you an [[2L 5s\|antidiatonic]] [[mos scale]], where in a certain sense, major and minor intervals get reversed. For example, stacking four fifths and octave-reducing now gets you a [[6/5]] ''minor'' third, whereas stacking three fourths and octave-reducing now gets you a [[5/4]] ''major'' third. Note that since we have a heptatonic scale, terms like ''fifths'', ''thirds'', etc. make perfect sense and really are the fifth, third, etc. steps in the antidiatonic scale.		'''Mavila''' is a [[regular temperament\|temperament]] where the major chroma, [[135/128]], is [[tempering out\|tempered out]]. Like [[meantone]], mavila is based on the [[chain of fifths]], but as a result of tempering out 135/128 rather than [[81/80]], the fifths are supposedly very flat ({{nowrap\|~{{dash\|670, 680}}}}{{c}} or so), flatter than even that of [[7edo]] (4\7). Consequently, stacking 7 of these fifths gives you an [[2L 5s\|antidiatonic]] [[mos scale]], where in a certain sense, major and minor intervals get reversed. For example, stacking four fifths and octave-reducing now gets you a [[6/5]] ''minor'' third, whereas stacking three fourths and octave-reducing now gets you a [[5/4]] ''major'' third. Note that since we have a heptatonic scale, terms like ''fifths'', ''thirds'', etc. make perfect sense and really are the fifth, third, etc. steps in the antidiatonic scale.

FloraC: Just pointless rhetorics

2025-11-22T16:07:48Z

Just pointless rhetorics

← Older revision		Revision as of 16:07, 22 November 2025
Line 16:		Line 16:
	\| Odd limit 2 = (5-limit) 9 \| Mistuning 2 = 36.9 \| Complexity 2 = 16		\| Odd limit 2 = (5-limit) 9 \| Mistuning 2 = 36.9 \| Complexity 2 = 16
	}}		}}

	'''Mavila''' is a [[regular temperament\|temperament]] where the major chroma, [[135/128]], is [[tempering out\|tempered out]]. Like [[meantone]], mavila is based on the [[chain of fifths]], but as a result of tempering out 135/128 rather than [[81/80]], the fifths are supposedly very flat ({{nowrap\|~{{dash\|670, 680}}}}{{c}} or so), flatter than even that of [[7edo]] (4\7). Consequently, stacking 7 of these fifths gives you an [[2L 5s\|antidiatonic]] [[mos scale]], where in a certain sense, major and minor intervals get reversed. For example, stacking four fifths and octave-reducing now gets you a [[6/5]] ''minor'' third, whereas stacking three fourths and octave-reducing now gets you a [[5/4]] ''major'' third. Note that since we have a heptatonic scale, terms like ''fifths'', ''thirds'', etc. make perfect sense and really are the fifth, third, etc. steps in the antidiatonic scale.		'''Mavila''' is a [[regular temperament\|temperament]] where the major chroma, [[135/128]], is [[tempering out\|tempered out]]. Like [[meantone]], mavila is based on the [[chain of fifths]], but as a result of tempering out 135/128 rather than [[81/80]], the fifths are supposedly very flat ({{nowrap\|~{{dash\|670, 680}}}}{{c}} or so), flatter than even that of [[7edo]] (4\7). Consequently, stacking 7 of these fifths gives you an [[2L 5s\|antidiatonic]] [[mos scale]], where in a certain sense, major and minor intervals get reversed. For example, stacking four fifths and octave-reducing now gets you a [[6/5]] ''minor'' third, whereas stacking three fourths and octave-reducing now gets you a [[5/4]] ''major'' third. Note that since we have a heptatonic scale, terms like ''fifths'', ''thirds'', etc. make perfect sense and really are the fifth, third, etc. steps in the antidiatonic scale.

Line 26:		Line 25:

	See [[Mavila family #Mavila]] for more technical data.		See [[Mavila family #Mavila]] for more technical data.

	As an exotemperament, mavila represents [[7L 2s]] and [[2L 5s]], and more generally [[Ploidacot/Monocot\|monocot]] (alongside temperaments like [[meantone]]) and [[Ploidacot/Alpha-triseph\|alpha-triseph]].

	== Notation ==		== Notation ==

VectorGraphics at 01:33, 22 November 2025

2025-11-22T01:33:47Z

← Older revision		Revision as of 01:33, 22 November 2025
Line 26:		Line 26:

	See [[Mavila family #Mavila]] for more technical data.		See [[Mavila family #Mavila]] for more technical data.

			As an exotemperament, mavila represents [[7L 2s]] and [[2L 5s]], and more generally [[Ploidacot/Monocot\|monocot]] (alongside temperaments like [[meantone]]) and [[Ploidacot/Alpha-triseph\|alpha-triseph]].

	== Notation ==		== Notation ==

FloraC: /* Tunings */ + HC11 eigen-interval tunings

2025-10-24T12:44:08Z

Tunings: + HC11 eigen-interval tunings

← Older revision		Revision as of 12:44, 24 October 2025
Line 156:		Line 156:
	\| 600.000		\| 600.000
	\| Lower bound of 5-odd-limit diamond monotone		\| Lower bound of 5-odd-limit diamond monotone
			\|-
			\|
			\| 11/8
			\| 648.682
			\|
	\|-		\|-
	\|		\|
Line 161:		Line 166:
	\| 655.866		\| 655.866
	\| 1/2 comma		\| 1/2 comma
			\|-
			\|
			\| 15/11
			\| 663.049
			\|
	\|-		\|-
	\| 5\9		\| 5\9
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	\|		\|
	\| 675.000		\| 675.000
			\|
			\|-
			\|
			\| 11/6
			\| 675.319
	\|		\|
	\|-		\|-
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	\| 678.910		\| 678.910
	\| 1/4 comma, 5-odd-limit minimax		\| 1/4 comma, 5-odd-limit minimax
			\|-
			\|
			\| 11/10
			\| 682.502
			\|
	\|-		\|-
	\|		\|
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	\| 683.519		\| 683.519
	\| 1/5 comma, 5-limit 9-odd-limit minimax		\| 1/5 comma, 5-limit 9-odd-limit minimax
			\|-
			\|
			\| 11/9
			\| 684.197
			\|
	\|-		\|-
	\| 4\7		\| 4\7

FloraC: /* Tunings */ + comments

2025-10-24T12:39:07Z

Tunings: + comments

← Older revision		Revision as of 12:39, 24 October 2025
Line 160:		Line 160:
	\| 15/8		\| 15/8
	\| 655.866		\| 655.866
	\|		\| 1/2 comma
	\|-		\|-
	\| 5\9		\| 5\9
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	\| 5/4		\| 5/4
	\| 671.229		\| 671.229
	\|		\| 1/3 comma
	\|-		\|-
	\| 9\16		\| 9\16
Line 180:		Line 180:
	\| 25/24		\| 25/24
	\| 675.618		\| 675.618
	\|		\| 2/7 comma
	\|-		\|-
	\|		\|
	\|		\| ''f''<sup>4</sup> + ''f''<sup>3</sup> - 8 = 0
	\| 676.337		\| 676.337
	\| ~~octave mirror to~~ Wilson's ~~523.662~~ meta-mavila		\| 1–3–5 equal-beating tuning, Erv Wilson's meta-mavila
	\|-		\|-
	\| 13\23		\| 13\23
Line 195:		Line 195:
	\| 5/3		\| 5/3
	\| 678.910		\| 678.910
	\| 5-odd-limit minimax		\| 1/4 comma, 5-odd-limit minimax
	\|-		\|-
	\|		\|
	\| 9/5		\| 9/5
	\| 683.519		\| 683.519
	\| 5-limit 9-odd-limit minimax		\| 1/5 comma, 5-limit 9-odd-limit minimax
	\|-		\|-
	\| 4\7		\| 4\7