2L 4s - Revision history

FloraC: /* Scale tree */ review

2026-02-25T05:29:50Z

Scale tree: review

← Older revision		Revision as of 05:29, 25 February 2026
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	== Scale tree ==		== Scale tree ==
	{{MOS tuning spectrum		{{MOS tuning spectrum
	\| 3/2 = ~~Optimum rank range~~		\| 9/7 = [[Unidec]]
	\| 13/8 = Golden [[hedgehog]]/[[echidna]]		\| 13/8 = Golden [[hedgehog]]/[[echidna]]
	\| 5/3 = Hedgehog ~~and echidna are~~ around here		\| 5/3 = Hedgehog (optimal around here)
	\| 7/2 = [[~~Srutal~~]]/[[~~Diaschismic_family#Pajara~~\|Pajara]] ~~is around here~~		\| 9/4 = [[Crepuscular]]
	\| 9/2 = [[Injera]] ~~is around here~~		\| 8/3 = [[Octokaidecal]]
			\| 7/2 = [[Pajara]]
			\| 9/2 = [[Injera]]
	\| 6/1 = [[Shrutar]] ↓		\| 6/1 = [[Shrutar]] ↓
	}}		}}

	[[Category:6-tone scales]]		[[Category:6-tone scales]]

Lucius Chiaraviglio: /* Scale tree */ Fix sort order

2025-11-23T00:02:38Z

Scale tree: Fix sort order

← Older revision		Revision as of 00:02, 23 November 2025
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	== Scale tree ==		== Scale tree ==
	{{MOS tuning spectrum		{{MOS tuning spectrum
			\| 3/2 = Optimum rank range
			\| 13/8 = Golden [[hedgehog]]/[[echidna]]
			\| 5/3 = Hedgehog and echidna are around here
			\| 7/2 = [[Srutal]]/[[Diaschismic_family#Pajara\|Pajara]] is around here
			\| 9/2 = [[Injera]] is around here
	\| 6/1 = [[Shrutar]] ↓		\| 6/1 = [[Shrutar]] ↓
	~~\| 9/2 = [[Injera]] is around here~~
	~~\| 7/2 = [[Srutal]]/[[Diaschismic_family#Pajara\|Pajara]] is around here~~
	~~\| 5/3 = Hedgehog and [[echidna]] are around here~~
	~~\| 13/8 = Golden [[hedgehog]]/echidna~~
	~~\| 3/2 = Optimum rank range~~
	}}		}}

	[[Category:6-tone scales]]		[[Category:6-tone scales]]

Lucius Chiaraviglio: /* Scale tree */ Add links to temperaments

2025-11-22T23:59:15Z

Scale tree: Add links to temperaments

← Older revision		Revision as of 23:59, 22 November 2025
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	== Scale tree ==		== Scale tree ==
	{{MOS tuning spectrum		{{MOS tuning spectrum
	\| 6/1 = Shrutar ↓		\| 6/1 = [[Shrutar]] ↓
	\| 9/2 = [[Injera]] is around here		\| 9/2 = [[Injera]] is around here
	\| 7/2 = Srutal/Pajara is around here		\| 7/2 = [[Srutal]]/[[Diaschismic_family#Pajara\|Pajara]] is around here
	\| 5/3 = Hedgehog and [[echidna]] are around here		\| 5/3 = Hedgehog and [[echidna]] are around here
	\| 13/8 = Golden hedgehog/echidna		\| 13/8 = Golden [[hedgehog]]/echidna
	\| 3/2 = Optimum rank range		\| 3/2 = Optimum rank range
	}}		}}

	[[Category:6-tone scales]]		[[Category:6-tone scales]]

ArrowHead294 at 18:53, 3 March 2025

2025-03-03T18:53:11Z

← Older revision		Revision as of 18:53, 3 March 2025
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	== Scale properties ==		== Scale properties ==
	{{TAMNAMS use}}		{{TAMNAMS use}}
	{{MOS ~~data~~}}
			=== Intervals ===
			{{MOS intervals}}

			=== Generator chain ===
			{{MOS genchain}}

			=== Modes ===
			{{MOS mode degrees}}

	== Scale tree ==		== Scale tree ==

ArrowHead294 at 17:25, 28 February 2025

2025-02-28T17:25:41Z

← Older revision		Revision as of 17:25, 28 February 2025
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	Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.		Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.

	== ~~Intervals~~ ==		== Scale properties ==
	{{MOS ~~intervals~~}}		{{TAMNAMS use}}
			{{MOS data}}

	==~~Modes~~==		== Scale tree ==
	{{MOS ~~mode degrees~~}}		{{MOS tuning spectrum
			\| 6/1 = Shrutar ↓
			\| 9/2 = [[Injera]] is around here
			\| 7/2 = Srutal/Pajara is around here
			\| 5/3 = Hedgehog and [[echidna]] are around here
			\| 13/8 = Golden hedgehog/echidna
			\| 3/2 = Optimum rank range
			}}

	~~==Scale tree==~~
	~~{{Scale tree\|Comments=6/1: Shrutar ↓;~~
	~~9/2: [[Injera]] is around here;~~
	~~7/2: Srutal/Pajara is around here;~~
	~~5/3: Hedgehog and [[echidna]] are around here;~~
	~~13/8: Golden hedgehog/echidna;~~
	~~3/2: Optimum rank range}}~~
	[[Category:6-tone scales]]		[[Category:6-tone scales]]

BudjarnLambeth: Links

2024-12-24T05:37:48Z

Links

← Older revision		Revision as of 05:37, 24 December 2024
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	{{MOS intro}}		{{MOS intro}}

	The only scale with this [[MOSScales\|MOS]] pattern that's a really significant minimum of [[harmonic entropy]] is [[Diaschismic_family\|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is '''half''' of that (about a quartertone), so 3/2 is a period plus two generators; and [[Porcupine_family#Hedgehog\|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).		The only scale with this [[MOSScales\|MOS]] pattern that's a really significant minimum of [[harmonic entropy]] is [[Diaschismic_family\|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include [[shrutar]], in which the generator is '''half''' of that (about a [[quartertone]]), so 3/2 is a period plus two generators; and [[Porcupine_family#Hedgehog\|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).

	In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.		In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.
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	==Scale tree==		==Scale tree==
	{{Scale tree\|Comments=6/1: Shrutar ↓;		{{Scale tree\|Comments=6/1: Shrutar ↓;
	9/2: Injera is around here;		9/2: [[Injera]] is around here;
	7/2: Srutal/Pajara is around here;		7/2: Srutal/Pajara is around here;
	5/3: Hedgehog and echidna are around here;		5/3: Hedgehog and [[echidna]] are around here;
	13/8: Golden hedgehog/echidna;		13/8: Golden hedgehog/echidna;
	3/2: Optimum rank range}}		3/2: Optimum rank range}}
	[[Category:6-tone scales]]		[[Category:6-tone scales]]

BudjarnLambeth at 23:36, 15 December 2024

2024-12-15T23:36:42Z

← Older revision		Revision as of 23:36, 15 December 2024
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	Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.		Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.

			== Intervals ==
			{{MOS intervals}}

	==Modes==		==Modes==
	{{MOS mode degrees}}		{{MOS mode degrees}}

	~~== Intervals ==~~
	~~{{MOS intervals}}~~

	==Scale tree==		==Scale tree==

BudjarnLambeth: == Intervals == {{MOS intervals}}

2024-12-15T23:35:58Z

== Intervals == {{MOS intervals}}

← Older revision		Revision as of 23:35, 15 December 2024
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	{{MOS intro}}		{{MOS intro}}
	The only scale with this [[MOSScales\|MOS]] pattern that's a really significant minimum of harmonic entropy is [[Diaschismic_family\|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is '''half''' of that (about a quartertone), so 3/2 is a period plus two generators; and [[Porcupine_family#Hedgehog\|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).
			The only scale with this [[MOSScales\|MOS]] pattern that's a really significant minimum of [[harmonic entropy]] is [[Diaschismic_family\|srutal/pajara]], in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is '''half''' of that (about a quartertone), so 3/2 is a period plus two generators; and [[Porcupine_family#Hedgehog\|hedgehog]], in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).

	In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.		In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.
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	==Modes==		==Modes==
	{{MOS mode degrees}}		{{MOS mode degrees}}

			== Intervals ==
			{{MOS intervals}}

	==Scale tree==		==Scale tree==

Fredg999: Fix typo

2024-09-05T03:09:59Z

Fix typo

← Older revision		Revision as of 03:09, 5 September 2024
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	9/2: Injera is around here;		9/2: Injera is around here;
	7/2: Srutal/Pajara is around here;		7/2: Srutal/Pajara is around here;
	5/3: ~~Hedgehod~~ and echidna are around here;		5/3: Hedgehog and echidna are around here;
	13/8: Golden hedgehog/echidna;		13/8: Golden hedgehog/echidna;
	3/2: Optimum rank range}}		3/2: Optimum rank range}}
	[[Category:6-tone scales]]		[[Category:6-tone scales]]

Nick Vuci: /* Modes */ added MOS mode degrees template

2024-07-24T22:59:56Z

Modes: added MOS mode degrees template

← Older revision		Revision as of 22:59, 24 July 2024
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	==Modes==		==Modes==
	{{MOS ~~modes~~}}		{{MOS mode degrees}}

	==Scale tree==		==Scale tree==