Catfish - Revision history

FloraC: Collect non-octave temperaments in one category

2025-04-29T09:22:02Z

Collect non-octave temperaments in one category

← Older revision		Revision as of 09:22, 29 April 2025
Line 55:		Line 55:
	[[Category:Catfish\| ]] <!-- main article -->		[[Category:Catfish\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:~~Subgroup~~ temperaments]]		[[Category:Non-octave temperaments]]
	~~[[Category:Nonoctave~~]]

FloraC: - parent category

2025-04-28T13:57:34Z

- parent category

← Older revision		Revision as of 13:57, 28 April 2025
Line 3:		Line 3:

	[[20ed11/5]] is one of the best tunings for this temperament, although it does noticeably flatten the [[13/11]] in the 11:13:17 chord.		[[20ed11/5]] is one of the best tunings for this temperament, although it does noticeably flatten the [[13/11]] in the 11:13:17 chord.

	== Interval chain (CTE tuning) ==		== Interval chain (CTE tuning) ==
	{\|class="wikitable"		{\|class="wikitable"
	\|-		\|-
	!Generators up		! Generators up
	!Cents		! Cents
	\|-		\|-
	\|0		\| 0
	\|0.0		\| 0.0
	\|-		\|-
	\|1		\| 1
	\|613.3		\| 613.3
	\|-		\|-
	\|2		\| 2
	\|1226.6		\| 1226.6
	\|-		\|-
	\|3		\| 3
	\|474.9		\| 474.9
	\|-		\|-
	\|4		\| 4
	\|1088.2		\| 1088.2
	\|-		\|-
	\|5		\| 5
	\|336.5		\| 336.5
	\|-		\|-
	\|6		\| 6
	\|949.8		\| 949.8
	\|-		\|-
	\|7		\| 7
	\|198.1		\| 198.1
	\|}		\|}
	==[[Ed11/5]] tunings ==		== Ed11/5 tunings ==
	*[[9ed11/5]] using 4\9ed11/5		*[[9ed11/5]] using 4\9ed11/5
	*[[11ed11/5]] using 5\11ed11/5		*[[11ed11/5]] using 5\11ed11/5
	*[[20ed11/5]] using 9\20ed11/5		*[[20ed11/5]] using 9\20ed11/5
	*[[29ed11/5]] using 13\29ed11/5		*[[29ed11/5]] using 13\29ed11/5
	==Scales==
	*[[Catfish7]]		== Scales ==
	*[[Catfish9]]		* [[Catfish7]]
	==Temperament data==		* [[Catfish9]]

			== Temperament data ==
	[[Subgroup]]: 11/5.11.13.17		[[Subgroup]]: 11/5.11.13.17

Line 50:		Line 53:
	[[Constrained tuning\|CTE generator]]: ~121/85 = 613.305		[[Constrained tuning\|CTE generator]]: ~121/85 = 613.305

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

Lériendil at 23:01, 19 April 2025

2025-04-19T23:01:55Z

← Older revision		Revision as of 23:01, 19 April 2025
Line 51:		Line 51:

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

CompactStar at 17:55, 17 March 2023

2023-03-17T17:55:17Z

← Older revision		Revision as of 17:55, 17 March 2023
Line 42:		Line 42:
	*[[Catfish9]]		*[[Catfish9]]
	==Temperament data==		==Temperament data==
	Subgroup: 11/5.11.13.17		[[Subgroup]]: 11/5.11.13.17

	[[Comma list]]: 2093663/2088025, 54925/54043		[[Comma list]]: 2093663/2088025, 54925/54043

	Mapping: [⟨1 -1 1 4], ⟨0 9 5 -1]]		[[Mapping]]: [⟨1 -1 1 4], ⟨0 9 5 -1]]

	[[Constrained tuning\|CTE generator]]: ~121/85 = 613.305		[[Constrained tuning\|CTE generator]]: ~121/85 = 613.305

CompactStar at 07:37, 17 March 2023

2023-03-17T07:37:13Z

← Older revision		Revision as of 07:37, 17 March 2023
Line 48:		Line 48:
	Mapping: [⟨1 -1 1 4], ⟨0 9 5 -1]]		Mapping: [⟨1 -1 1 4], ⟨0 9 5 -1]]

	[[Constrained tuning\|CTE generator]]: 613.305		[[Constrained tuning\|CTE generator]]: ~121/85 = 613.305

	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]

CompactStar at 07:36, 17 March 2023

2023-03-17T07:36:58Z

← Older revision		Revision as of 07:36, 17 March 2023
Line 48:		Line 48:
	Mapping: [⟨1 -1 1 4], ⟨0 9 5 -1]]		Mapping: [⟨1 -1 1 4], ⟨0 9 5 -1]]

	[[Constrained tuning\|CTE generator]]: 613.3		[[Constrained tuning\|CTE generator]]: 613.305

	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]

CompactStar at 07:36, 17 March 2023

2023-03-17T07:36:40Z

← Older revision		Revision as of 07:36, 17 March 2023
Line 47:		Line 47:

	Mapping: [⟨1 -1 1 4], ⟨0 9 5 -1]]		Mapping: [⟨1 -1 1 4], ⟨0 9 5 -1]]

			[[Constrained tuning\|CTE generator]]: 613.3

	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]

CompactStar at 07:35, 17 March 2023

2023-03-17T07:35:51Z

← Older revision		Revision as of 07:35, 17 March 2023
Line 1:		Line 1:
	[[File:Salmon7.wav\|thumb\|Catfish[7] scale and 11:13:17 chord on A in 20ed11/5 tuning]]		[[File:Salmon7.wav\|thumb\|Catfish[7] scale and 11:13:17 chord on A in 20ed11/5 tuning]]
	'''Catfish''' is a [[11/5]]-repeating no-twos-or-threes [[rank-2 temperament]] which tempers out the commas 2093663/2088025 and 54925/54043 in the 5.11.13.17 subgroup. This implies a generator approximating [[17/11]] or its inverse 121/85. It can be viewed as the no-twos-or-threes analog to [[meantone]] with 11:13:17 being the substitute for 4:5:6. It possesses MOS scales of the families 2L 3s<11/5>, 2L 5s<11/5>, 2L 7s<11/5>, and 9L 2s<11/5>.		'''Catfish''' is a [[11/5]]-repeating no-twos-or-threes [[rank-2 temperament]] which tempers out the commas 2093663/2088025 and 54925/54043 in the 11/5.11.13.17 fractional subgroup (equatable to 5.11.13.17). This implies a generator approximating [[17/11]] or its inverse 121/85. It can be viewed as the no-twos-or-threes analog to [[meantone]] with 11:13:17 being the substitute for 4:5:6. It possesses MOS scales of the families 2L 3s<11/5>, 2L 5s<11/5>, 2L 7s<11/5>, and 9L 2s<11/5>.

	[[20ed11/5]] is one of the best tunings for this temperament, although it does noticeably flatten the [[13/11]] in the 11:13:17 chord.		[[20ed11/5]] is one of the best tunings for this temperament, although it does noticeably flatten the [[13/11]] in the 11:13:17 chord.
Line 41:		Line 41:
	*[[Catfish7]]		*[[Catfish7]]
	*[[Catfish9]]		*[[Catfish9]]
			==Temperament data==
			Subgroup: 11/5.11.13.17

			[[Comma list]]: 2093663/2088025, 54925/54043

			Mapping: [⟨1 -1 1 4], ⟨0 9 5 -1]]

	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]

CompactStar at 03:43, 11 March 2023

2023-03-11T03:43:11Z

← Older revision		Revision as of 03:43, 11 March 2023
Line 1:		Line 1:
	[[File:Salmon7.wav\|thumb\|~~Salmon~~[7] scale and 11:13:17 chord on A in 20ed11/5 tuning]]		[[File:Salmon7.wav\|thumb\|Catfish[7] scale and 11:13:17 chord on A in 20ed11/5 tuning]]
	'''Catfish''' is a [[11/5]]-repeating no-twos-or-threes [[rank-2 temperament]] which tempers out the commas 2093663/2088025 and 54925/54043 in the 5.11.13.17 subgroup. This implies a generator approximating [[17/11]] or its inverse 121/85. It can be viewed as the no-twos-or-threes analog to [[meantone]] with 11:13:17 being the substitute for 4:5:6. It possesses MOS scales of the families 2L 3s<11/5>, 2L 5s<11/5>, 2L 7s<11/5>, and 9L 2s<11/5>.		'''Catfish''' is a [[11/5]]-repeating no-twos-or-threes [[rank-2 temperament]] which tempers out the commas 2093663/2088025 and 54925/54043 in the 5.11.13.17 subgroup. This implies a generator approximating [[17/11]] or its inverse 121/85. It can be viewed as the no-twos-or-threes analog to [[meantone]] with 11:13:17 being the substitute for 4:5:6. It possesses MOS scales of the families 2L 3s<11/5>, 2L 5s<11/5>, 2L 7s<11/5>, and 9L 2s<11/5>.

CompactStar at 03:37, 11 March 2023

2023-03-11T03:37:23Z

← Older revision		Revision as of 03:37, 11 March 2023
Line 39:		Line 39:
	*[[29ed11/5]] using 13\29ed11/5		*[[29ed11/5]] using 13\29ed11/5
	==Scales==		==Scales==
	*[[~~Salmon7~~]]		*[[Catfish7]]
	*[[~~Salmon9~~]]		*[[Catfish9]]
	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]