4L 4s - Revision history

FloraC: Fix linking

2025-09-11T11:23:01Z

Fix linking

← Older revision		Revision as of 11:23, 11 September 2025
Line 10:		Line 10:
	{{MOS intro}}		{{MOS intro}}

	The minimum harmonic entropy scale with this mos pattern is [[Diminished]][8], the familiar [[octatonic scale]] of 12edo.		The minimum harmonic entropy scale with this mos pattern is [[Diminished (temperament)\|Diminished]][8], the familiar [[octatonic scale]] of 12edo.

	In addition to the true mos form, LsLsLsLs, there are four near-mos forms – LLsLsLss, LLsLssLs, LLssLLss, and LLssLsLs – in which the period and its multiples are the only intervals with more than two varieties. The near-mos forms are only proper if the dark generator is larger than 1\12 (100{{c}}).		In addition to the true mos form, LsLsLsLs, there are four near-mos forms – LLsLsLss, LLsLssLs, LLssLLss, and LLssLsLs – in which the period and its multiples are the only intervals with more than two varieties. The near-mos forms are only proper if the dark generator is larger than 1\12 (100{{c}}).
Line 24:		Line 24:
	\| 6/5 = [[Fourfives]]↑		\| 6/5 = [[Fourfives]]↑
	\| 13/8 = Unnamed golden tuning		\| 13/8 = Unnamed golden tuning
	\| 2/1 = [[Diminished]]		\| 2/1 = [[Diminished (temperament)\|Diminished]]
	\| 13/5 = Unnamed golden tuning		\| 13/5 = Unnamed golden tuning
	\| 6/1 = [[Quadritikleismic]]↓		\| 6/1 = [[Quadritikleismic]]↓

FloraC: /* Scale tree */ replace with template (- golden diminished)

2025-08-21T12:09:54Z

Scale tree: replace with template (- golden diminished)

@@ Line 21: / Line 21: @@
 == Scale tree ==
-{{todo|inline=1|complete table|comment=Convert manually-generated scale tree table to mos tuning spectrum without losing information from the existing table.}}
+{{MOS tuning spectrum
-{| class="wikitable center-all"
+| 6/5 = [[Fourfives]]↑
-! colspan="6" rowspan="2" | Generator
+| 13/8 = Unnamed golden tuning
-! colspan="2" | Cents
+| 2/1 = [[Diminished]]
-! rowspan="2" | L
+| 13/5 = Unnamed golden tuning
-! rowspan="2" | s
+| 6/1 = [[Quadritikleismic]]↓
-! rowspan="2" | L/s
+}}
-[[Category:Tetrawood]]
+[[Category:Tetrawood| ]] <!-- main article -->
 [[Category:8-tone scales]]

FloraC: Style

2025-08-21T11:05:12Z

Style

← Older revision		Revision as of 11:05, 21 August 2025
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	\| Pattern = LsLsLsLs		\| Pattern = LsLsLsLs
	}}		}}

	{{MOS intro}}		{{MOS intro}}

	The minimum harmonic entropy scale with this ~~[[MOS]]~~ pattern is [[~~diminished~~]][8], the familiar [[octatonic scale]] of 12edo.		The minimum harmonic entropy scale with this mos pattern is [[Diminished]][8], the familiar [[octatonic scale]] of 12edo.

	In addition to the true ~~MOS~~ form, LsLsLsLs, there are four near-~~MOS~~ forms – LLsLsLss, LLsLssLs, LLssLLss, and LLssLsLs – in which the period and its multiples are the only intervals with more than two varieties. The near-~~MOS~~ forms are only proper if the dark generator is larger than 1\12 (~~100¢~~).		In addition to the true mos form, LsLsLsLs, there are four near-mos forms – LLsLsLss, LLsLssLs, LLssLLss, and LLssLsLs – in which the period and its multiples are the only intervals with more than two varieties. The near-mos forms are only proper if the dark generator is larger than 1\12 (100{{c}}).

	== Intervals ==		== Intervals ==
Line 22:		Line 21:

	== Scale tree ==		== Scale tree ==
	{{todo\|inline=1\|complete table\|Convert manually-generated scale tree table to ~~MOS~~ tuning spectrum without losing information from the existing table}}		{{todo\|inline=1\|complete table\|comment=Convert manually-generated scale tree table to mos tuning spectrum without losing information from the existing table.}}
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	! colspan="6" rowspan="2" \| Generator		! colspan="6" rowspan="2" \| Generator

Lucius Chiaraviglio: /* Scale tree */ Add {{ToDo:Convert manually-generated table to MOS tuning spectrum template without losing information from the existing table}}

2025-08-21T07:19:50Z

Scale tree: Add {{ToDo:Convert manually-generated table to MOS tuning spectrum template without losing information from the existing table}}

← Older revision		Revision as of 07:19, 21 August 2025
Line 22:		Line 22:

	== Scale tree ==		== Scale tree ==
			{{todo\|inline=1\|complete table\|Convert manually-generated scale tree table to MOS tuning spectrum without losing information from the existing table}}
	{\| class="wikitable center-all"		{\| class="wikitable center-all"
	! colspan="6" rowspan="2" \| Generator		! colspan="6" rowspan="2" \| Generator

BudjarnLambeth: Line

2024-12-16T00:15:12Z

Line

← Older revision		Revision as of 00:15, 16 December 2024
Line 10:		Line 10:

	{{MOS intro}}		{{MOS intro}}

	The minimum harmonic entropy scale with this [[MOS]] pattern is [[diminished]][8], the familiar [[octatonic scale]] of 12edo.		The minimum harmonic entropy scale with this [[MOS]] pattern is [[diminished]][8], the familiar [[octatonic scale]] of 12edo.

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

2024-07-24T23:19:33Z

Modes: added MOS mode degrees template

← Older revision		Revision as of 23:19, 24 July 2024
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	== Modes ==		== Modes ==
	{{MOS ~~modes~~}}		{{MOS mode degrees}}

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

Ganaram inukshuk: Mos intervals

2024-02-23T00:56:29Z

Mos intervals

← Older revision		Revision as of 00:56, 23 February 2024
Line 13:		Line 13:

	In addition to the true MOS form, LsLsLsLs, there are four near-MOS forms – LLsLsLss, LLsLssLs, LLssLLss, and LLssLsLs – in which the period and its multiples are the only intervals with more than two varieties. The near-MOS forms are only proper if the dark generator is larger than 1\12 (100¢).		In addition to the true MOS form, LsLsLsLs, there are four near-MOS forms – LLsLsLss, LLsLssLs, LLssLLss, and LLssLsLs – in which the period and its multiples are the only intervals with more than two varieties. The near-MOS forms are only proper if the dark generator is larger than 1\12 (100¢).

			== Intervals ==
			{{MOS intervals}}

	== Modes ==		== Modes ==

Ganaram inukshuk: Reworded intro

2024-02-18T04:58:47Z

Reworded intro

← Older revision		Revision as of 04:58, 18 February 2024
Line 10:		Line 10:

	{{MOS intro}}		{{MOS intro}}
	The minimum harmonic entropy scale with this [[MOS]] pattern is [[diminished]][8], ~~basically~~ the familiar [[octatonic scale]] of 12edo.		The minimum harmonic entropy scale with this [[MOS]] pattern is [[diminished]][8], the familiar [[octatonic scale]] of 12edo.

	~~There~~ are ~~4 different~~ near-~~MOSes such that multiples of~~ the period are the only ~~generic~~ intervals with more than two ~~specific representatives: LLsLsLss, LLsLssLs, LLssLLss, LLssLsLs~~. ~~However, none are strictly proper in 12edo. (They~~ are only proper if the generator is larger than ~~100 cents, which unfortunately is the wrong direction for good diminished tunings~~.)		In addition to the true MOS form, LsLsLsLs, there are four near-MOS forms – LLsLsLss, LLsLssLs, LLssLLss, and LLssLsLs – in which the period and its multiples are the only intervals with more than two varieties. The near-MOS forms are only proper if the dark generator is larger than 1\12 (100¢).

	== Modes ==		== Modes ==

BudjarnLambeth: Modes

2024-02-12T10:00:43Z

Modes

← Older revision		Revision as of 10:00, 12 February 2024
Line 13:		Line 13:

	There are 4 different near-MOSes such that multiples of the period are the only generic intervals with more than two specific representatives: LLsLsLss, LLsLssLs, LLssLLss, LLssLsLs. However, none are strictly proper in 12edo. (They are only proper if the generator is larger than 100 cents, which unfortunately is the wrong direction for good diminished tunings.)		There are 4 different near-MOSes such that multiples of the period are the only generic intervals with more than two specific representatives: LLsLsLss, LLsLssLs, LLssLLss, LLssLsLs. However, none are strictly proper in 12edo. (They are only proper if the generator is larger than 100 cents, which unfortunately is the wrong direction for good diminished tunings.)

			== Modes ==
			{{MOS modes}}

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

Ganaram inukshuk at 00:46, 1 June 2023

2023-06-01T00:46:01Z

← Older revision		Revision as of 00:46, 1 June 2023
Line 9:		Line 9:
	}}		}}

			{{MOS intro}}
	The minimum harmonic entropy scale with this [[MOS]] pattern is [[diminished]][8], basically the familiar [[octatonic scale]] of 12edo.		The minimum harmonic entropy scale with this [[MOS]] pattern is [[diminished]][8], basically the familiar [[octatonic scale]] of 12edo.