Aldebaran - Revision history

FloraC: Collect non-octave temperaments in one category

2025-04-29T09:17:15Z

Collect non-octave temperaments in one category

← Older revision		Revision as of 09:17, 29 April 2025
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	'''Aldebaran''' is the [[non-octave]] [[rank-2 temperament\|rank-2]] [[regular temperament\|temperament]] of the 3.5.13 [[subgroup]] that [[tempering out\|tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families {{nowrap\|2L 5s{{angbr\|3/1}}\|2L 7s{{angbr\|3/1}}\|2L 9s{{angbr\|3/1}}\|2L 11s{{angbr\|3/1}}\|13L 2s{{angbr\|3/1}}\|and 15L 13s{{angbr\|3/1}}}}. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.		'''Aldebaran''' is the [[non-octave]] [[rank-2 temperament\|rank-2]] [[regular temperament\|temperament]] of the 3.5.13 [[subgroup]] that [[tempering out\|tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families {{nowrap\|2L 5s{{angbr\|3/1}}\|2L 7s{{angbr\|3/1}}\|2L 9s{{angbr\|3/1}}\|2L 11s{{angbr\|3/1}}\|13L 2s{{angbr\|3/1}}\|and 15L 13s{{angbr\|3/1}}}}. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.

	{{~~tdhat~~\|No-twos subgroup temperaments #Aldebaran}}		{{Tdhat\|No-twos subgroup temperaments #Aldebaran}}

	== Etymology ==		== Etymology ==
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	[[Category:Aldebaran\| ]] <!-- main article -->		[[Category:Aldebaran\| ]] <!-- main article -->
	~~[[Category:Subgroup temperaments]]~~
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:~~Tritave~~-~~equivalent~~ temperaments]]		[[Category:Non-octave temperaments]]

FloraC: - parent category

2025-04-28T13:41:02Z

- parent category

← Older revision		Revision as of 13:41, 28 April 2025
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	\|}		\|}

	[[Category:~~Temperaments~~]]		[[Category:Aldebaran\| ]] <!-- main article -->
	[[Category:Subgroup temperaments]]		[[Category:Subgroup temperaments]]
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:Tritave-equivalent temperaments]]		[[Category:Tritave-equivalent temperaments]]

Lériendil: creating new cat

2025-04-19T22:57:06Z

creating new cat

← Older revision		Revision as of 22:57, 19 April 2025
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	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Subgroup temperaments]]		[[Category:Subgroup temperaments]]
			[[Category:Rank-2 temperaments]]
	[[Category:Tritave-equivalent temperaments]]		[[Category:Tritave-equivalent temperaments]]

FloraC: Cleanup

2025-01-17T17:02:45Z

Cleanup

← Older revision		Revision as of 17:02, 17 January 2025
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	'''Aldebaran''' is the [[non-octave]] [[rank]]-2 [[regular temperament]] of the 3.5.13 [[subgroup]] that [[tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[~~Arcturus~~]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families {{nowrap\|2L 5s{{angbr\|3/1}}\|2L 7s{{angbr\|3/1}}\|2L 9s{{angbr\|3/1}}\|2L 11s{{angbr\|3/1}}\|13L 2s{{angbr\|3/1}}\|and 15L 13s{{angbr\|3/1}}}}. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.		'''Aldebaran''' is the [[non-octave]] [[rank-2 temperament\|rank-2]] [[regular temperament\|temperament]] of the 3.5.13 [[subgroup]] that [[tempering out\|tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families {{nowrap\|2L 5s{{angbr\|3/1}}\|2L 7s{{angbr\|3/1}}\|2L 9s{{angbr\|3/1}}\|2L 11s{{angbr\|3/1}}\|13L 2s{{angbr\|3/1}}\|and 15L 13s{{angbr\|3/1}}}}. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.

	{{tdhat\|No-twos subgroup temperaments #Aldebaran}}		{{tdhat\|No-twos subgroup temperaments #Aldebaran}}

ArrowHead294 at 20:47, 23 November 2024

2024-11-23T20:47:25Z

← Older revision		Revision as of 20:47, 23 November 2024
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	'''Aldebaran''' is the [[rank]]-2 [[regular temperament]] of the 3.5.13 [[subgroup]] that [[tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[Arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families 2L 5s<3/1>, 2L 7s<3/1>, 2L 9s<3/1>, 2L 11s<3/1>, 13L 2s<3/1>, and 15L 13s<3/1>. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.		'''Aldebaran''' is the [[non-octave]] [[rank]]-2 [[regular temperament]] of the 3.5.13 [[subgroup]] that [[tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[Arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families {{nowrap\|2L 5s{{angbr\|3/1}}\|2L 7s{{angbr\|3/1}}\|2L 9s{{angbr\|3/1}}\|2L 11s{{angbr\|3/1}}\|13L 2s{{angbr\|3/1}}\|and 15L 13s{{angbr\|3/1}}}}. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.

	{{tdhat\|No-twos subgroup temperaments #Aldebaran}}		{{tdhat\|No-twos subgroup temperaments #Aldebaran}}

	== Etymology ==		== Etymology ==
	This temperament is named after the star {{w\|Aldebaran}}, following a series of ~~[[nonoctave]]~~ temperaments that are named after stars.		This temperament is named after the star {{w\|Aldebaran}}, following a series of non-octave temperaments that are named after stars.
	{{todo\|add etymology\|inline=1\|text=Add name (person who coined the term) and year (when it was coined).}}		{{todo\|add etymology\|inline=1\|text=Add name (person who coined the term) and year (when it was coined).}}

	== Interval chain ==		== Interval chain ==
	{\|class="wikitable"		{\| class="wikitable"
	\|-		\|-
	\|1393.52		\| 1393.52
	\|379.32		\| 379.32
	\|1267.08		\| 1267.08
	\|252.88		\| 252.88
	\|1140.64		\| 1140.64
	\|126.44		\| 126.44
	\|1014.20		\| 1014.20
	\|0.00		\| 0.00
	\|887.76		\| 887.76
	\|1775.52		\| 1775.52
	\|761.32		\| 761.32
	\|1649.08		\| 1649.08
	\|634.88		\| 634.88
	\|1522.64		\| 1522.64
	\|508.44		\| 508.44
	\|-		\|-
	\|729/325		\| 729/325
	\|81/65		\| 81/65
	\|[[27/13]]		\| [[27/13]]
	\|[[15/13]]		\| [[15/13]]
	\|243/125		\| 243/125
	\|[[27/25]]		\| [[27/25]]
	\|[[9/5]]		\| [[9/5]]
	\|[[1/1]]		\| [[1/1]]
	\|[[5/3]]		\| [[5/3]]
	\|25/9		\| 25/9
	\|125/81		\| 125/81
	\|[[13/5]]		\| [[13/5]]
	\|[[13/9]]		\| [[13/9]]
	\|65/27		\| 65/27
	\|325/243		\| 325/243
	\|}		\|}

Fredg999: tdhat -> tdlink

2024-08-27T04:51:13Z

tdhat -> tdlink

← Older revision		Revision as of 04:51, 27 August 2024
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			'''Aldebaran''' is the [[rank]]-2 [[regular temperament]] of the 3.5.13 [[subgroup]] that [[tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[Arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families 2L 5s<3/1>, 2L 7s<3/1>, 2L 9s<3/1>, 2L 11s<3/1>, 13L 2s<3/1>, and 15L 13s<3/1>. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.

	{{tdhat\|No-twos subgroup temperaments #Aldebaran}}		{{tdhat\|No-twos subgroup temperaments #Aldebaran}}
	'''Aldebaran''' is the [[rank]]-2 [[regular temperament]] of the 3.5.13 [[subgroup]] that [[tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[Arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families 2L 5s<3/1>, 2L 7s<3/1>, 2L 9s<3/1>, 2L 11s<3/1>, 13L 2s<3/1>, and 15L 13s<3/1>. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.

	== Etymology ==		== Etymology ==

Fredg999: Grammar

2024-08-27T04:35:55Z

Grammar

← Older revision		Revision as of 04:35, 27 August 2024
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	{{tdhat\|No-twos subgroup temperaments #Aldebaran}}		{{tdhat\|No-twos subgroup temperaments #Aldebaran}}
	'''Aldebaran''' is the [[rank]]-2 [[regular temperament]] on the 3.5.13 [[subgroup]] that [[tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[Arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families 2L 5s<3/1>, 2L 7s<3/1>, 2L 9s<3/1>, 2L 11s<3/1>, 13L 2s<3/1>, and 15L 13s<3/1>. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.		'''Aldebaran''' is the [[rank]]-2 [[regular temperament]] of the 3.5.13 [[subgroup]] that [[tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[Arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families 2L 5s<3/1>, 2L 7s<3/1>, 2L 9s<3/1>, 2L 11s<3/1>, 13L 2s<3/1>, and 15L 13s<3/1>. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.

	== Etymology ==		== Etymology ==

Fredg999: Todo add etymology (name, year)

2024-08-23T05:52:04Z

Todo add etymology (name, year)

← Older revision		Revision as of 05:52, 23 August 2024
Line 4:		Line 4:
	== Etymology ==		== Etymology ==
	This temperament is named after the star {{w\|Aldebaran}}, following a series of [[nonoctave]] temperaments that are named after stars.		This temperament is named after the star {{w\|Aldebaran}}, following a series of [[nonoctave]] temperaments that are named after stars.
			{{todo\|add etymology\|inline=1\|text=Add name (person who coined the term) and year (when it was coined).}}

	== Interval chain ==		== Interval chain ==

Fredg999: Internal link

2024-08-23T04:52:01Z

Internal link

← Older revision		Revision as of 04:52, 23 August 2024
Line 3:		Line 3:

	== Etymology ==		== Etymology ==
	This temperament is named after the star {{w\|Aldebaran}}, following a series of nonoctave temperaments that are named after stars.		This temperament is named after the star {{w\|Aldebaran}}, following a series of [[nonoctave]] temperaments that are named after stars.

	== Interval chain ==		== Interval chain ==

Fredg999: Add space before # (for readability)

2024-08-23T04:15:39Z

Add space before # (for readability)

← Older revision		Revision as of 04:15, 23 August 2024
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	{{tdhat\|No-twos subgroup temperaments#Aldebaran}}		{{tdhat\|No-twos subgroup temperaments #Aldebaran}}
	'''Aldebaran''' is the [[rank]]-2 [[regular temperament]] on the 3.5.13 [[subgroup]] that [[tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[Arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families 2L 5s<3/1>, 2L 7s<3/1>, 2L 9s<3/1>, 2L 11s<3/1>, 13L 2s<3/1>, and 15L 13s<3/1>. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.		'''Aldebaran''' is the [[rank]]-2 [[regular temperament]] on the 3.5.13 [[subgroup]] that [[tempers out]] [[3159/3125]]. It has a generator of [[5/3]] (similar to [[Arcturus]]) and equates 5 of them with [[13/9]]. It possesses non-trivial MOS of the families 2L 5s<3/1>, 2L 7s<3/1>, 2L 9s<3/1>, 2L 11s<3/1>, 13L 2s<3/1>, and 15L 13s<3/1>. Aldebaran temperament can accurately approximate the chord 9:13:15, which could be viewed as the "fundamental" chord of the 3.5.13 subgroup (similar to 4:5:6 for the 5-limit or 3:5:7 for the no-twos 7-limit) due to being tritave-equivalent to 3:5:13. [[15edt]]'s major sixth is near the optimal tuning for Aldebaran.