Meanquad - Revision history

FloraC: Collect non-octave temperaments in one category

2025-04-29T09:25:05Z

Collect non-octave temperaments in one category

← Older revision		Revision as of 09:25, 29 April 2025
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	[[Category:Meanquad\| ]] <!-- main article -->		[[Category:Meanquad\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:~~Subgroup~~ temperaments]]		[[Category:Non-octave temperaments]]
	~~[[Category:Nonoctave~~]]

FloraC: - parent category

2025-04-28T14:22:29Z

- parent category

← Older revision		Revision as of 14:22, 28 April 2025
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	'''Meanquad''' is a [[4/1\|double octave]]-repeating [[rank-2 temperament]] that tempers [[81/80]] in the 4.5.6 subgroup. Similarly to [[meantone]], it has a flat [[3/2]] as generator and equates [[5/4]] and [[81/64]]. It possesses [[MOS scales]] of the forms [[3L 4s (4/1-equivalent)\|3L 4s<4/1>]], [[7L 3s (4/1-equivalent)\|7L 3s<4/1>]], and [[7L 10s (4/1-equivalent)\|7L 10s<4/1>]], which could be viewed as equivalents to the pentatonic, diatonic, and meantone chromatic scales respectively. For more techincal data, see [[7L 3s (4/1-equivalent)#Meanquad]].		'''Meanquad''' is a [[4/1\|double octave]]-repeating [[rank-2 temperament]] that tempers [[81/80]] in the 4.5.6 subgroup. Similarly to [[meantone]], it has a flat [[3/2]] as generator and equates [[5/4]] and [[81/64]]. It possesses [[MOS scales]] of the forms [[3L 4s (4/1-equivalent)\|3L 4s<4/1>]], [[7L 3s (4/1-equivalent)\|7L 3s<4/1>]], and [[7L 10s (4/1-equivalent)\|7L 10s<4/1>]], which could be viewed as equivalents to the pentatonic, diatonic, and meantone chromatic scales respectively. For more techincal data, see [[7L 3s (4/1-equivalent)#Meanquad]].

	== Interval chain (POTE tuning) ==		== Interval chain (POTE tuning) ==
	{\|class="wikitable"		{\|class="wikitable"
	\|-		\|-
	!Generators up		! Generators up
	!Cents		! Cents
	\|-		\|-
	\|0		\| 0
	\|0.0		\| 0.0
	\|-		\|-
	\|1		\| 1
	\|696.8		\| 696.8
	\|-		\|-
	\|2		\| 2
	\|1393.6		\| 1393.6
	\|-		\|-
	\|3		\| 3
	\|2090.4		\| 2090.4
	\|-		\|-
	\|4		\| 4
	\|387.2		\| 387.2
	\|-		\|-
	\|5		\| 5
	\|1084.0		\| 1084.0
	\|-		\|-
	\|6		\| 6
	\|1780.8		\| 1780.8
	\|-		\|-
	\|7		\| 7
	\|77.6		\| 77.6
	\|-		\|-
	\|8		\| 8
	\|774.4		\| 774.4
	\|-		\|-
	\|9		\| 9
	\|1471.2		\| 1471.2
	\|-		\|-
	\|10		\| 10
	\|2168.0		\| 2168.0
	\|-		\|-
	\|11		\| 11
	\|464.8		\| 464.8
	\|-		\|-
	\|12		\| 12
	\|1161.6		\| 1161.6
	\|}		\|}

	== Tunings ==		== Tunings ==
	[[17ed4]] is the smallest tuning that [[support]]s this temperament and features the decatonic scale. Like [[12edo]], it can be viewed as the boundary between meanquad and the double-octave version of [[archy]]. Larger options include 24ed4 (12edo duplicate), [[31ed4]] and [[55ed4]].		[[17ed4]] is the smallest tuning that [[support]]s this temperament and features the decatonic scale. Like [[12edo]], it can be viewed as the boundary between meanquad and the double-octave version of [[archy]]. Larger options include 24ed4 (12edo duplicate), [[31ed4]] and [[55ed4]].

	== Scales ==		== Scales ==
	* [[Meanquad10]]		* [[Meanquad10]]

	[[Category:~~Temperaments]]~~		[[Category:Meanquad\| ]] <!-- main article -->
	~~[[Category:Rank 2~~]]
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
			[[Category:Subgroup temperaments]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]

Lériendil at 23:13, 19 April 2025

2025-04-19T23:13:36Z

← Older revision		Revision as of 23:13, 19 April 2025
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	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Rank 2]]		[[Category:Rank 2]]
			[[Category:Rank-2 temperaments]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]

CompactStar at 02:08, 8 June 2023

2023-06-08T02:08:04Z

← Older revision		Revision as of 02:08, 8 June 2023
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	\|}		\|}
	== Tunings ==		== Tunings ==
	[[17ed4]] is the smallest tuning that ~~can be said to~~ support this temperament ~~at all~~. Like [[12edo]], it can be viewed as the boundary between meanquad and the double-octave version of [[archy]]. Larger options include 24ed4 (12edo duplicate), [[31ed4]] and [[55ed4]].		[[17ed4]] is the smallest tuning that [[support]]s this temperament and features the decatonic scale. Like [[12edo]], it can be viewed as the boundary between meanquad and the double-octave version of [[archy]]. Larger options include 24ed4 (12edo duplicate), [[31ed4]] and [[55ed4]].
	== Scales ==		== Scales ==
	* [[Meanquad10]]		* [[Meanquad10]]

CompactStar at 03:15, 7 May 2023

2023-05-07T03:15:50Z

← Older revision		Revision as of 03:15, 7 May 2023
Line 1:		Line 1:
	'''Meanquad''' is a [[4/1\|double octave]]-repeating [[rank-2 temperament]] that tempers [[81/80]] in the 4.5.6 subgroup. Similarly to [[meantone]], it has a flat [[3/2]] as generator and equates [[5/4]] and [[81/64]]. It possesses [[MOS scales]] of the forms [[3L 4s (4/1-equivalent)\|3L 4s<4/1>]], [[7L 3s (4/1-equivalent)\|7L 3s<4/1>]], and [[7L 10s (4/1-equivalent)\|7L 10s<4/1>]], which could be viewed as equivalents to the pentatonic, diatonic, and meantone chromatic scales respectively.		'''Meanquad''' is a [[4/1\|double octave]]-repeating [[rank-2 temperament]] that tempers [[81/80]] in the 4.5.6 subgroup. Similarly to [[meantone]], it has a flat [[3/2]] as generator and equates [[5/4]] and [[81/64]]. It possesses [[MOS scales]] of the forms [[3L 4s (4/1-equivalent)\|3L 4s<4/1>]], [[7L 3s (4/1-equivalent)\|7L 3s<4/1>]], and [[7L 10s (4/1-equivalent)\|7L 10s<4/1>]], which could be viewed as equivalents to the pentatonic, diatonic, and meantone chromatic scales respectively. For more techincal data, see [[7L 3s (4/1-equivalent)#Meanquad]].
	== Interval chain (POTE tuning) ==		== Interval chain (POTE tuning) ==
	{\|class="wikitable"		{\|class="wikitable"

CompactStar: Temperament data now in the 7L 3s page

2023-05-07T03:15:17Z

Temperament data now in the 7L 3s page

← Older revision		Revision as of 03:15, 7 May 2023
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	== Scales ==		== Scales ==
	* [[Meanquad10]]		* [[Meanquad10]]
	~~== Temperament data ==~~
	~~[[Subgroup]]: 4.5.6~~

	~~[[Comma list]]: [[81/80]]~~

	~~[[Mapping]]: [{{val\|1 0 1}},{{val\|1 4 1}}]~~

	~~[[POTE generator]]: ~[[3/2]] = 696.837~~

	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Rank 2]]		[[Category:Rank 2]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]

Fredg999 category edits: Moving from Category:Rank-2 temperaments to Category:Rank 2 using Cat-a-lot

2023-04-24T03:22:23Z

Moving from Category:Rank-2 temperaments to Category:Rank 2 using Cat-a-lot

← Older revision		Revision as of 03:22, 24 April 2023
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	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Rank-2 ~~temperaments~~]]		[[Category:Rank 2]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]

CompactStar at 01:33, 4 April 2023

2023-04-04T01:33:13Z

← Older revision		Revision as of 01:33, 4 April 2023
Line 1:		Line 1:
	'''Meanquad''' is a [[4/1\|double octave]]-repeating [[rank-2 temperament]] that tempers [[81/80]] in the 4.5.6 subgroup. Similarly to [[meantone]], it has a flat [[3/2]] as generator and equates [[5/4]] and [[81/64]]. It possesses [[MOS scales]] of the forms [[3L 4s (4/1-equivalent)\|3L 4s<4/1>]], [[7L 3s (4/1-equivalent)\|7L 3s<4/1>]], and [[7L 10s (4/1-equivalent)\|7L 10s<4/1>]], which could be viewed as equivalents to the diatonic, meantone chromatic~~, and meantone enharmonic~~ scales respectively.		'''Meanquad''' is a [[4/1\|double octave]]-repeating [[rank-2 temperament]] that tempers [[81/80]] in the 4.5.6 subgroup. Similarly to [[meantone]], it has a flat [[3/2]] as generator and equates [[5/4]] and [[81/64]]. It possesses [[MOS scales]] of the forms [[3L 4s (4/1-equivalent)\|3L 4s<4/1>]], [[7L 3s (4/1-equivalent)\|7L 3s<4/1>]], and [[7L 10s (4/1-equivalent)\|7L 10s<4/1>]], which could be viewed as equivalents to the pentatonic, diatonic, and meantone chromatic scales respectively.
	== Interval chain (POTE tuning) ==		== Interval chain (POTE tuning) ==
	{\|class="wikitable"		{\|class="wikitable"

CompactStar at 07:23, 21 March 2023

2023-03-21T07:23:13Z

← Older revision		Revision as of 07:23, 21 March 2023
Line 46:		Line 46:
	\|}		\|}
	== Tunings ==		== Tunings ==
	~~10ed4 ([[5edo]] duplicate) is a non-modal equalized tuning similar to [[7edo]] for meantone.~~ [[17ed4]] is the smallest tuning that can be said to support this temperament at all. Like [[12edo]], it can be viewed as the boundary between meanquad and the double-octave version of [[archy]]. Larger options include 24ed4 (12edo duplicate), [[31ed4]] and [[55ed4]].		[[17ed4]] is the smallest tuning that can be said to support this temperament at all. Like [[12edo]], it can be viewed as the boundary between meanquad and the double-octave version of [[archy]]. Larger options include 24ed4 (12edo duplicate), [[31ed4]] and [[55ed4]].
	== Scales ==		== Scales ==
	* [[Meanquad10]]		* [[Meanquad10]]

CompactStar: After experimenting with this tuning in 17ed4, I think the decatonic scale is actually quite tonally ambiguous much like the chromatic scale, so I am calling it a chromatic-analog rather than a diatonic-analog

2023-03-21T07:21:58Z

After experimenting with this tuning in 17ed4, I think the decatonic scale is actually quite tonally ambiguous much like the chromatic scale, so I am calling it a chromatic-analog rather than a diatonic-analog

← Older revision		Revision as of 07:21, 21 March 2023
Line 1:		Line 1:
	'''Meanquad''' is a [[4/1\|double octave]]-repeating [[rank-2 temperament]] that tempers [[81/80]] in the 4.5.6 subgroup. Similarly to [[meantone]], it has a flat [[3/2]] as generator and equates [[5/4]] and [[81/64]]. It possesses [[MOS scales]] of the forms [[3L 4s (4/1-equivalent)\|3L 4s<4/1>]], [[7L 3s (4/1-equivalent)\|7L 3s<4/1>]], and [[7L 10s (4/1-equivalent)\|7L 10s<4/1>]], which could be viewed as ~~analogues~~ to the ~~pentatonic~~, ~~diatonic~~, and meantone ~~chromatic~~ scales respectively.		'''Meanquad''' is a [[4/1\|double octave]]-repeating [[rank-2 temperament]] that tempers [[81/80]] in the 4.5.6 subgroup. Similarly to [[meantone]], it has a flat [[3/2]] as generator and equates [[5/4]] and [[81/64]]. It possesses [[MOS scales]] of the forms [[3L 4s (4/1-equivalent)\|3L 4s<4/1>]], [[7L 3s (4/1-equivalent)\|7L 3s<4/1>]], and [[7L 10s (4/1-equivalent)\|7L 10s<4/1>]], which could be viewed as equivalents to the diatonic, meantone chromatic, and meantone enharmonic scales respectively.
	== Interval chain (POTE tuning) ==		== Interval chain (POTE tuning) ==
	{\|class="wikitable"		{\|class="wikitable"