Deneb - Revision history

BudjarnLambeth: add links to mos scales

2026-03-23T04:28:34Z

add links to mos scales

← Older revision		Revision as of 04:28, 23 March 2026
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	'''Deneb''' is a [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma 6655/6561 in the 3.5.11 subgroup, the amount by which 4 [[11/9]]'s exceed [[11/5]]. Having a generator of ~[[11/9]], it possesses [[MOS scale]]s of the families {{~~nowrap~~\|1L 4s~~{{angbr\|~~3/1}}\|5L 1s~~{{angbr\|~~3/1}}\|6L 5s~~{{angbr\|~~3/1}}\|and ~~11L 6s~~{{~~angbr~~\|3/1}}}}. Good tunings for this temperament are [[11edt]], [[17edt]], [[28edt]], [[39edt]], and [[45edt]].		'''Deneb''' is a [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma 6655/6561 in the 3.5.11 subgroup, the amount by which 4 [[11/9]]'s exceed [[11/5]]. Having a generator of ~[[11/9]], it possesses [[MOS scale]]s of the families {{mos scalesig\|1L 4s<3/1>\|link=1}}, {{mos scalesig\|5L 1s<3/1>\|link=1}}, {{mos scalesig\|6L 5s<3/1>\|link=1}}, and {{mos scalesig\|11L 6s<3/1>\|link=1}}. Good tunings for this temperament are [[11edt]], [[17edt]], [[28edt]], [[39edt]], and [[45edt]].

	== Interval chain (POTE tuning) ==		== Interval chain (POTE tuning) ==

FloraC: Collect non-octave temperaments in one category

2025-04-29T09:22:27Z

Collect non-octave temperaments in one category

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

FloraC: - parent category

2025-04-28T14:01:22Z

- parent category

← Older revision		Revision as of 14:01, 28 April 2025
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	For formal temperament data, see [[No-twos subgroup temperaments#Deneb]].		For formal temperament data, see [[No-twos subgroup temperaments#Deneb]].

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

Lériendil at 23:03, 19 April 2025

2025-04-19T23:03:52Z

← Older revision		Revision as of 23:03, 19 April 2025
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	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Nonoctave]]		[[Category:Nonoctave]]
	[[Category:Rank 2]]		[[Category:Rank-2 temperaments]]
	[[Category:Tritave-equivalent temperaments]]		[[Category:Tritave-equivalent temperaments]]

ArrowHead294 at 20:33, 23 November 2024

2024-11-23T20:33:49Z

← Older revision		Revision as of 20:33, 23 November 2024
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	'''Deneb''' is a [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma 6655/6561 in the 3.5.11 subgroup, the amount by which 4 [[11/9]]'s exceed [[11/5]]. Having a generator of ~[[11/9]], it possesses [[MOS scale]]s of the families {{nowrap\|1L 4s~~<~~3/1~~>~~\|5L 1s~~<~~3/1~~>~~\|6L 5s~~<~~3/1~~>~~\|and 11L 6s~~<~~3/1~~>~~}}. Good tunings for this temperament are [[11edt]], [[17edt]], [[28edt]], [[39edt]] and [[45edt]].		'''Deneb''' is a [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma 6655/6561 in the 3.5.11 subgroup, the amount by which 4 [[11/9]]'s exceed [[11/5]]. Having a generator of ~[[11/9]], it possesses [[MOS scale]]s of the families {{nowrap\|1L 4s{{angbr\|3/1}}\|5L 1s{{angbr\|3/1}}\|6L 5s{{angbr\|3/1}}\|and 11L 6s{{angbr\|3/1}}}}. Good tunings for this temperament are [[11edt]], [[17edt]], [[28edt]], [[39edt]], and [[45edt]].

	== Interval chain (POTE tuning) ==		== Interval chain (POTE tuning) ==

ArrowHead294 at 02:21, 29 October 2024

2024-10-29T02:21:06Z

← Older revision		Revision as of 02:21, 29 October 2024
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	'''Deneb''' is a [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma 6655/6561 in the 3.5.11 subgroup, the amount by which 4 [[11/9]]'s exceed [[11/5]]. Having a generator of ~[[11/9]], it possesses [[MOS scale]]s of the families 1L 4s<3/1>, 5L 1s<3/1>, 6L 5s<3/1>, and 11L 6s<3/1>. Good tunings for this temperament are [[11edt]], [[17edt]], [[28edt]], [[39edt]] and [[45edt]].		'''Deneb''' is a [[tritave]]-repeating [[rank-2 temperament]] that tempers out the comma 6655/6561 in the 3.5.11 subgroup, the amount by which 4 [[11/9]]'s exceed [[11/5]]. Having a generator of ~[[11/9]], it possesses [[MOS scale]]s of the families {{nowrap\|1L 4s<3/1>\|5L 1s<3/1>\|6L 5s<3/1>\|and 11L 6s<3/1>}}. Good tunings for this temperament are [[11edt]], [[17edt]], [[28edt]], [[39edt]] and [[45edt]].

	== Interval chain (POTE tuning) ==		== Interval chain (POTE tuning) ==
	{\|class="wikitable"		{\| class="wikitable"
	\|-		\|-
	!Generators up		! Generators up
	!Cents		! Cents
	!Generators down		! Generators down
	!Cents		! Cents
	\|-		\|-
	\|0		\| 0
	\|0.00		\| 0.00
	\|0		\| 0
	\|0.00		\| 0.00
	\|-		\|-
	\|1		\| 1
	\|340.24		\| 340.24
	\|1		\| 1
	\|1561.72		\| 1561.72
	\|-		\|-
	\|2		\| 2
	\|680.48		\| 680.48
	\|2		\| 2
	\|1221.48		\| 1221.48
	\|-		\|-
	\|3		\| 3
	\|1020.72		\| 1020.72
	\|3		\| 3
	\|881.24		\| 881.24
	\|-		\|-
	\|4		\| 4
	\|1360.96		\| 1360.96
	\|4		\| 4
	\|541.00		\| 541.00
	\|-		\|-
	\|5		\| 5
	\|1701.20		\| 1701.20
	\|5		\| 5
	\|200.76		\| 200.76
	\|-		\|-
	\|6		\| 6
	\|139.48		\| 139.48
	\|6		\| 6
	\|1762.48		\| 1762.48
	\|-		\|-
	\|7		\| 7
	\|479.72		\| 479.72
	\|7		\| 7
	\|1422.24		\| 1422.24
	\|-		\|-
	\|8		\| 8
	\|819.96		\| 819.96
	\|8		\| 8
	\|1082.00		\| 1082.00
	\|-		\|-
	\|9		\| 9
	\|1160.20		\| 1160.20
	\|9		\| 9
	\|741.76		\| 741.76
	\|}		\|}

	== Harmony ==		== Harmony ==
	Deneb does not have sevens and as such the most simple approach to no-twos harmony (using the chord 3:5:7) does not work. Due to its approximation of 11/9 and 11/5, the otonal chord 5:9:11 and its utonal inversion 45:55:99 is well-represented. The utonal chord in particular sounds surprisingly consonant for a no-twos chord, while the otonal chord sounds more strained but still somewhat consonant.		Deneb does not have sevens and as such the most simple approach to no-twos harmony (using the chord 3:5:7) does not work. Due to its approximation of 11/9 and 11/5, the otonal chord 5:9:11 and its utonal inversion 45:55:99 is well-represented. The utonal chord in particular sounds surprisingly consonant for a no-twos chord, while the otonal chord sounds more strained but still somewhat consonant.

	== Temperament data ==		== Temperament data ==
	For formal temperament data, see [[No-twos subgroup temperaments#Deneb]].		For formal temperament data, see [[No-twos subgroup temperaments#Deneb]].

Lériendil at 00:09, 23 August 2024

2024-08-23T00:09:51Z

← Older revision		Revision as of 00:09, 23 August 2024
Line 61:		Line 61:
	Deneb does not have sevens and as such the most simple approach to no-twos harmony (using the chord 3:5:7) does not work. Due to its approximation of 11/9 and 11/5, the otonal chord 5:9:11 and its utonal inversion 45:55:99 is well-represented. The utonal chord in particular sounds surprisingly consonant for a no-twos chord, while the otonal chord sounds more strained but still somewhat consonant.		Deneb does not have sevens and as such the most simple approach to no-twos harmony (using the chord 3:5:7) does not work. Due to its approximation of 11/9 and 11/5, the otonal chord 5:9:11 and its utonal inversion 45:55:99 is well-represented. The utonal chord in particular sounds surprisingly consonant for a no-twos chord, while the otonal chord sounds more strained but still somewhat consonant.
	== Temperament data ==		== Temperament data ==
	[[~~Subgroup]]: 3.5.11~~		For formal temperament data, see [[No-twos subgroup temperaments#Deneb]].

	~~[[Comma list]]: 6655/6561~~

	~~[[Gencom]]: [3/1 11/9; 6655/6561]~~

	~~[[Mapping]]: [{{val\|1 2 2}}, {{val\|0~~ -~~3 1}}~~]

	~~[[POTE tuning~~]~~]: ~[[11/9]] = 340~~.~~242~~

	~~[[EDT]]s: 28, 11, 17, 6, 39, 5, 67, 45, 50, 16, 23, 73, 61, 62~~

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

Lériendil at 04:23, 22 August 2024

2024-08-22T04:23:29Z

← Older revision		Revision as of 04:23, 22 August 2024
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	[[Category:Nonoctave]]		[[Category:Nonoctave]]
	[[Category:Rank 2]]		[[Category:Rank 2]]
			[[Category:Tritave-equivalent temperaments]]

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

CompactStar at 22:49, 1 April 2023

2023-04-01T22:49:02Z

← Older revision		Revision as of 22:49, 1 April 2023
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	[[POTE tuning]]: ~[[11/9]] = 340.242		[[POTE tuning]]: ~[[11/9]] = 340.242

	[[~~Val~~]]s: 28, 11, 17, 6, 39, 5, 67, 45, 50, 16, 23, 73, 61, 62		[[EDT]]s: 28, 11, 17, 6, 39, 5, 67, 45, 50, 16, 23, 73, 61, 62

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