Blackcomb - Revision history

CompactStar: Redirected page to Porcupine

2023-07-06T07:44:47Z

Redirected page to Porcupine

← Older revision		Revision as of 07:44, 6 July 2023
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	~~'''Blackcomb''' is a~~ [[5/3]]-repeating [[regular temperament]] that tempers out [[250/243]] in the 5-limit, the amount by which three [[3/2]]'s exceed [[5/4]]. This implies a generator of a [[Blackwood]]-like sharp fifth which is quite "dirty" but still recognizable. It possesses [[MOS scale]]s of the form [[1L 3s (5/3-equivalent)\|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)\|1L 4s<5/3>]], making it an antidiatonic tuning, [[5L 1s (5/3-equivalent)\|5L 1s<5/3>]], and [[6L 5s (5/3-equivalent)\|6L 5s<5/3>]]. [[16ed5/3]] is one of the best tunings for this temperament that is not extremely close to an EDO.		#redirect [[porcupine]]

	~~== Interval chain (CTE tuning) ==~~
	~~{\|class="wikitable"~~
	\|-
	~~!Generators up~~
	~~!Cents~~
	\|-
	\|0
	~~\|0.0~~
	\|-
	\|1
	~~\|728.8~~
	\|-
	\|2
	~~\|573.2~~
	\|-
	\|3
	~~\|417.6~~
	\|-
	\|4
	~~\|262.0~~
	\|-
	\|5
	~~\|106.4~~
	\|-
	\|6
	~~\|835.2~~
	\|-
	\|7
	~~\|679.6~~
	\|-
	\|8
	~~\|524.0~~
	\|-
	\|9
	~~\|368.4~~
	\|-
	~~\|10~~
	~~\|212.8~~
	\|}
	~~== Chords ==~~
	Blackcomb is structured on 4:5:6 triads like octave-repeating [[meantone]] temperament. However, because Blackcomb is a much less accurate temperament, the major third and perfect fifth are usually tuned very sharp, with the major third often being closer to [[9/7]] than [[5/4]].
	~~== Temperament data ==~~
	~~[[Subgroup]]: 5/3.2.3~~

	~~[[Comma list]]: [[250/243]]~~

	~~[[Mapping]]: [⟨1 3 4], ⟨0 -2 -2]]~~

	~~[[Constrained tuning\|CTE generator]]: ~3/2 = 728.763~~
	~~[[Category:Ed5/3]]~~
	~~[[Category:5-limit]]~~
	~~[[Category:Temperaments~~]]

BudjarnLambeth: Categorised this uncategorised page

2023-04-28T09:07:22Z

Categorised this uncategorised page

← Older revision		Revision as of 09:07, 28 April 2023
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	[[Constrained tuning\|CTE generator]]: ~3/2 = 728.763		[[Constrained tuning\|CTE generator]]: ~3/2 = 728.763
			[[Category:Ed5/3]]
			[[Category:5-limit]]
			[[Category:Temperaments]]

CompactStar at 18:12, 17 March 2023

2023-03-17T18:12:32Z

← Older revision		Revision as of 18:12, 17 March 2023
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	[[Comma list]]: [[250/243]]		[[Comma list]]: [[250/243]]

	[[Mapping]]: [⟨1 -2 -2~~], ⟨0 3 4~~]]		[[Mapping]]: [⟨1 3 4], ⟨0 -2 -2]]

	[[Constrained tuning\|CTE generator]]: ~3/2 = 728.763		[[Constrained tuning\|CTE generator]]: ~3/2 = 728.763

CompactStar at 18:12, 17 March 2023

2023-03-17T18:12:01Z

← Older revision		Revision as of 18:12, 17 March 2023
Line 47:		Line 47:
	[[Comma list]]: [[250/243]]		[[Comma list]]: [[250/243]]

	[[Mapping]]: [⟨1 -2 5], ⟨0 3 -2]]		[[Mapping]]: [⟨1 -2 -2], ⟨0 3 4]]

	[[Constrained tuning\|CTE generator]]: ~3/2 = 728.763		[[Constrained tuning\|CTE generator]]: ~3/2 = 728.763

CompactStar at 18:01, 17 March 2023

2023-03-17T18:01:13Z

← Older revision		Revision as of 18:01, 17 March 2023
Line 47:		Line 47:
	[[Comma list]]: [[250/243]]		[[Comma list]]: [[250/243]]

	[[Mapping]]: [⟨1 4 5], ⟨0 -2 -2]]		[[Mapping]]: [⟨1 -2 5], ⟨0 3 -2]]

	[[Constrained tuning\|CTE generator]]: ~3/2 = 728.763		[[Constrained tuning\|CTE generator]]: ~3/2 = 728.763

CompactStar at 17:58, 17 March 2023

2023-03-17T17:58:29Z

← Older revision		Revision as of 17:58, 17 March 2023
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	== Chords ==		== Chords ==
	Blackcomb is structured on 4:5:6 triads like octave-repeating [[meantone]] temperament. However, because Blackcomb is a much less accurate temperament, the major third and perfect fifth are usually tuned very sharp, with the major third often being closer to [[9/7]] than [[5/4]].		Blackcomb is structured on 4:5:6 triads like octave-repeating [[meantone]] temperament. However, because Blackcomb is a much less accurate temperament, the major third and perfect fifth are usually tuned very sharp, with the major third often being closer to [[9/7]] than [[5/4]].
			== Temperament data ==
			[[Subgroup]]: 5/3.2.3

			[[Comma list]]: [[250/243]]

			[[Mapping]]: [⟨1 4 5], ⟨0 -2 -2]]

			[[Constrained tuning\|CTE generator]]: ~3/2 = 728.763

CompactStar at 00:16, 10 March 2023

2023-03-10T00:16:07Z

← Older revision		Revision as of 00:16, 10 March 2023
Line 1:		Line 1:
	'''Blackcomb''' is a [[5/3]]-repeating [[regular temperament]] that tempers out [[250/243]] in the 5-limit, the amount by which three [[3/2]]'s exceed [[5/4]]. This implies a generator of a [[Blackwood]]-like sharp fifth which is quite "dirty" but still recognizable. It possesses [[MOS scale]]s of the form [[1L 3s (5/3-equivalent)\|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)\|1L 4s<5/3>]], making it an antidiatonic tuning, [[5L 1s (5/3-equivalent)\|5L 1s<5/3>]], and [[6L 5s (5/3-equivalent)\|6L 5s<5/3>]]. [[16ed5/3]] is one of the best tunings for this temperament that is not ~~a pseudo-~~EDO.		'''Blackcomb''' is a [[5/3]]-repeating [[regular temperament]] that tempers out [[250/243]] in the 5-limit, the amount by which three [[3/2]]'s exceed [[5/4]]. This implies a generator of a [[Blackwood]]-like sharp fifth which is quite "dirty" but still recognizable. It possesses [[MOS scale]]s of the form [[1L 3s (5/3-equivalent)\|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)\|1L 4s<5/3>]], making it an antidiatonic tuning, [[5L 1s (5/3-equivalent)\|5L 1s<5/3>]], and [[6L 5s (5/3-equivalent)\|6L 5s<5/3>]]. [[16ed5/3]] is one of the best tunings for this temperament that is not extremely close to an EDO.

	== Interval chain (CTE tuning) ==		== Interval chain (CTE tuning) ==

CompactStar at 00:08, 10 March 2023

2023-03-10T00:08:25Z

← Older revision		Revision as of 00:08, 10 March 2023
Line 1:		Line 1:
	'''Blackcomb''' is a [[5/3]]-repeating [[regular temperament]] that tempers out [[250/243]] in the 5-limit, the amount by which three [[3/2]]'s exceed [[5/4]]. This implies a generator of a [[Blackwood]]-like sharp fifth which is quite "dirty" but still recognizable. It possesses [[MOS scale]]s of the form [[1L 3s (5/3-equivalent)\|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)\|1L 4s<5/3>]], making it an antidiatonic tuning, and [[6L 5s (5/3-equivalent)\|6L 5s<5/3>]]. [[~~17ed5~~/3]] is ~~an excellent tuning~~ for this temperament ~~with the generator of 14\17ed5/4 being~~ a ~~fraction of a cent away from the CTE generator~~.		'''Blackcomb''' is a [[5/3]]-repeating [[regular temperament]] that tempers out [[250/243]] in the 5-limit, the amount by which three [[3/2]]'s exceed [[5/4]]. This implies a generator of a [[Blackwood]]-like sharp fifth which is quite "dirty" but still recognizable. It possesses [[MOS scale]]s of the form [[1L 3s (5/3-equivalent)\|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)\|1L 4s<5/3>]], making it an antidiatonic tuning, [[5L 1s (5/3-equivalent)\|5L 1s<5/3>]], and [[6L 5s (5/3-equivalent)\|6L 5s<5/3>]]. [[16ed5/3]] is one of the best tunings for this temperament that is not a pseudo-EDO.

	== Interval chain (CTE tuning) ==		== Interval chain (CTE tuning) ==

CompactStar at 00:04, 10 March 2023

2023-03-10T00:04:18Z

← Older revision		Revision as of 00:04, 10 March 2023
Line 1:		Line 1:
	'''Blackcomb''' is a [[5/3]]-repeating [[regular temperament]] that tempers out [[250/243]] in the 5-limit, the amount by which three [[3/2]]'s exceed [[5/4]]. This implies a generator of a [[Blackwood]]-like sharp fifth which is quite "dirty" but still recognizable. It possesses [[MOS scale]]s of the form [[1L 3s (5/3-equivalent)\|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)\|1L 4s<5/3>]], making it an antidiatonic tuning, and [[6L 5s (5/3-equivalent)\|6L 5s<5/3>]]. [[17ed5/3]] is an excellent tuning for this temperament with the generator being ~~close to~~ the CTE generator.		'''Blackcomb''' is a [[5/3]]-repeating [[regular temperament]] that tempers out [[250/243]] in the 5-limit, the amount by which three [[3/2]]'s exceed [[5/4]]. This implies a generator of a [[Blackwood]]-like sharp fifth which is quite "dirty" but still recognizable. It possesses [[MOS scale]]s of the form [[1L 3s (5/3-equivalent)\|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)\|1L 4s<5/3>]], making it an antidiatonic tuning, and [[6L 5s (5/3-equivalent)\|6L 5s<5/3>]]. [[17ed5/3]] is an excellent tuning for this temperament with the generator of 14\17ed5/4 being a fraction of a cent away from the CTE generator.

	== Interval chain (CTE tuning) ==		== Interval chain (CTE tuning) ==

CompactStar at 00:03, 10 March 2023

2023-03-10T00:03:07Z

← Older revision		Revision as of 00:03, 10 March 2023
Line 1:		Line 1:
	'''Blackcomb''' is a [[5/3]]-repeating [[regular temperament]] that tempers out [[250/243]] in the 5-limit, the amount by which three [[3/2]]'s exceed [[5/4]]. This implies a generator of a [[Blackwood]]-like sharp fifth which is quite "dirty" but still recognizable. It possesses [[MOS scale]]s of the form [[1L 3s (5/3-equivalent)\|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)\|1L 4s<5/3>]], making it an antidiatonic tuning, and [[6L 5s (5/3-equivalent)\|6L 5s<5/3>]]. [[17ed5/3]] is an ~~accurate~~ tuning for this temperament with the generator being close to the CTE generator.		'''Blackcomb''' is a [[5/3]]-repeating [[regular temperament]] that tempers out [[250/243]] in the 5-limit, the amount by which three [[3/2]]'s exceed [[5/4]]. This implies a generator of a [[Blackwood]]-like sharp fifth which is quite "dirty" but still recognizable. It possesses [[MOS scale]]s of the form [[1L 3s (5/3-equivalent)\|1L 3s<5/3>]], [[1L 4s (5/3-equivalent)\|1L 4s<5/3>]], making it an antidiatonic tuning, and [[6L 5s (5/3-equivalent)\|6L 5s<5/3>]]. [[17ed5/3]] is an excellent tuning for this temperament with the generator being close to the CTE generator.

	== Interval chain (CTE tuning) ==		== Interval chain (CTE tuning) ==