5L 9s - Revision history

ArrowHead294: substitute deprecated template

2025-05-05T13:58:04Z

substitute deprecated template

← Older revision		Revision as of 13:58, 5 May 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 19:41, 28 February 2025

2025-02-28T19:41:56Z

← Older revision		Revision as of 19:41, 28 February 2025
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	The associated fifth ranges from 8\[[14edo\|14]] to 3\[[5edo\|5]], thus guaranteeing a [[diatonic fifth]].		The associated fifth ranges from 8\[[14edo\|14]] to 3\[[5edo\|5]], thus guaranteeing a [[diatonic fifth]].

	4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate [[15/13]] if the scale is viewed as involving factors of 13.		4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous {{nowrap\|8/7 ~ 7/6}}, or an approximate [[15/13]] if the scale is viewed as involving factors of 13.

	This MOS can be viewed as two parallel [[5L_2s\|diatonic]] scales separated by a semi-fourth, and has analogous points of low [[harmonic entropy]] where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for [[The_Archipelago#Barbados\|barbados]] subgroup harmonies.		This MOS can be viewed as two parallel [[5L_2s\|diatonic]] scales separated by a semi-fourth, and has analogous points of low [[harmonic entropy]] where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 and <math>\sqrt{\frac{4}{3}}</math> where it is ideal for [[The_Archipelago#Barbados\|barbados]] subgroup harmonies.

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

	== Scale tree ==		== Scale tree ==
	{{~~Scale tree~~}}		{{MOS tuning spectrum}}

	[[Category:14-tone scales]]		[[Category:14-tone scales]]

BudjarnLambeth: Many minor

2024-12-16T00:47:06Z

Many minor

← Older revision		Revision as of 00:47, 16 December 2024
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	}}		}}
	{{MOS intro}}		{{MOS intro}}
	The associated fifth ranges from 8\14 to 3\5, thus guaranteeing a diatonic fifth. 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13. This MOS can be viewed as two parallel [[5L_2s\|diatonic]] scales separated by a semi-fourth, and has analogous points of low harmonic entropy where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for [[The_Archipelago#Barbados\|barbados]] subgroup harmonies.
			The associated fifth ranges from 8\[[14edo\|14]] to 3\[[5edo\|5]], thus guaranteeing a [[diatonic fifth]].

			4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate [[15/13]] if the scale is viewed as involving factors of 13.

			This MOS can be viewed as two parallel [[5L_2s\|diatonic]] scales separated by a semi-fourth, and has analogous points of low [[harmonic entropy]] where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for [[The_Archipelago#Barbados\|barbados]] subgroup harmonies.

			== Modes ==
			{{MOS modes}}

			== Intervals ==
			{{MOS intervals}}

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

CompactStar at 07:58, 26 February 2024

2024-02-26T07:58:06Z

Show changes

Ganaram inukshuk: Order of templates

2024-02-22T18:17:04Z

Order of templates

← Older revision		Revision as of 18:17, 22 February 2024
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	~~{{MOS intro}}~~{{Infobox MOS		{{Infobox MOS
	\| Periods = 1		\| Periods = 1
	\| nLargeSteps = 5		\| nLargeSteps = 5
Line 8:		Line 8:
	\| Neutralized = 2L 6s		\| Neutralized = 2L 6s
	}}		}}
			{{MOS intro}}
	The associated fifth ranges from 8\14 to 3\5, thus guaranteeing a diatonic fifth. 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13. This MOS can be viewed as two parallel [[5L_2s\|diatonic]] scales separated by a semi-fourth, and has analogous points of low harmonic entropy where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for [[The_Archipelago#Barbados\|barbados]] subgroup harmonies.		The associated fifth ranges from 8\14 to 3\5, thus guaranteeing a diatonic fifth. 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13. This MOS can be viewed as two parallel [[5L_2s\|diatonic]] scales separated by a semi-fourth, and has analogous points of low harmonic entropy where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for [[The_Archipelago#Barbados\|barbados]] subgroup harmonies.

Ganaram inukshuk: Mos intro

2024-02-22T02:55:05Z

Mos intro

← Older revision		Revision as of 02:55, 22 February 2024
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	{{Infobox MOS		{{MOS intro}}{{Infobox MOS
	\| Periods = 1		\| Periods = 1
	\| nLargeSteps = 5		\| nLargeSteps = 5
Line 8:		Line 8:
	\| Neutralized = 2L 6s		\| Neutralized = 2L 6s
	}}		}}
	~~5L 9s is the chromatic scale of the semiquartal MOS.~~		The associated fifth ranges from 8\14 to 3\5, thus guaranteeing a diatonic fifth. 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13. This MOS can be viewed as two parallel [[5L_2s\|diatonic]] scales separated by a semi-fourth, and has analogous points of low harmonic entropy where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for [[The_Archipelago#Barbados\|barbados]] subgroup harmonies.

	~~This MOS, has a generator between 1/5edo (240 cents) and 3/14edo (257.143).~~ The associated fifth ranges from 8\14 to 3\5, thus guaranteeing a diatonic fifth. 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13. This MOS can be viewed as two parallel [[5L_2s\|diatonic]] scales separated by a semi-fourth, and has analogous points of low harmonic entropy where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for [[The_Archipelago#Barbados\|barbados]] subgroup harmonies.

	{\| class="wikitable"		{\| class="wikitable"

Fredg999 category edits: Copying from Category:Abstract MOS patterns to Category:14-tone scales using Cat-a-lot

2023-01-06T16:15:27Z

Copying from Category:Abstract MOS patterns to Category:14-tone scales using Cat-a-lot

← Older revision		Revision as of 16:15, 6 January 2023
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	\| \| 257.143		\| \| 257.143
	\|}		\|}

			[[Category:14-tone scales]]

Yourmusic Productions: Fix step pattern

2022-12-08T22:39:41Z

Fix step pattern

← Older revision		Revision as of 22:39, 8 December 2022
Line 5:		Line 5:
	\| Equalized = 11		\| Equalized = 11
	\| Collapsed = 4		\| Collapsed = 4
	\| Pattern = ~~LLsLLsLs~~		\| Pattern = LsLssLssLssLss
	\| Neutralized = 2L 6s		\| Neutralized = 2L 6s
	}}		}}

Eliora: infobox mos + minor clean

2022-12-07T19:20:21Z

infobox mos + minor clean

← Older revision		Revision as of 19:20, 7 December 2022
Line 1:		Line 1:
	This MOS~~, with a period running L 2s L 2s L 2s L 2s L s~~, has a generator between 1/5edo (240 cents) and 3/14edo (257.143). 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13. This MOS can be viewed as two parallel [[5L_2s\|diatonic]] scales separated by a semi-fourth, and has analogous points of low harmonic entropy where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for [[The_Archipelago#Barbados\|barbados]] subgroup harmonies.		{{Infobox MOS
			\| Periods = 1
			\| nLargeSteps = 5
			\| nSmallSteps = 9
			\| Equalized = 11
			\| Collapsed = 4
			\| Pattern = LLsLLsLs
			\| Neutralized = 2L 6s
			}}
			5L 9s is the chromatic scale of the semiquartal MOS.

			This MOS, has a generator between 1/5edo (240 cents) and 3/14edo (257.143). The associated fifth ranges from 8\14 to 3\5, thus guaranteeing a diatonic fifth. 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13. This MOS can be viewed as two parallel [[5L_2s\|diatonic]] scales separated by a semi-fourth, and has analogous points of low harmonic entropy where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for [[The_Archipelago#Barbados\|barbados]] subgroup harmonies.

	{\| class="wikitable"		{\| class="wikitable"

Yourmusic Productions: A little more theory.

2021-07-23T12:18:12Z

A little more theory.

← Older revision		Revision as of 12:18, 23 July 2021
Line 1:		Line 1:
	This MOS, with a period running L 2s L 2s L 2s L 2s L s, has a generator between 1/5edo (240 cents) and 3/14edo (257.143). 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13.		This MOS, with a period running L 2s L 2s L 2s L 2s L s, has a generator between 1/5edo (240 cents) and 3/14edo (257.143). 4/3 being approximated by +2 generators, the generator is called a semi-fourth. The most salient feature of the semi-fourth interval is that it is an ambiguous 8/7~7/6, or an approximate 15/13 if the scale is viewed as involving factors of 13. This MOS can be viewed as two parallel [[5L_2s\|diatonic]] scales separated by a semi-fourth, and has analogous points of low harmonic entropy where two generators would approximate a [[meantone]] or [[superpyth]] 5th, plus an additional one between 15/13 & sqrt(4/3) where it is ideal for [[The_Archipelago#Barbados\|barbados]] subgroup harmonies.

	{\| class="wikitable"		{\| class="wikitable"