8L 3s (3/1-equivalent) - Revision history

2^67-1 at 00:14, 16 November 2025

2025-11-16T00:14:57Z

← Older revision		Revision as of 00:14, 16 November 2025
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	== Theory ==		== Theory ==
	By dividing the {{mos scalesig\|5L 2s}} of LLsLLLs into A=LLs and B=LLLs, and combining them as ABBABB..., it becomes {{mos scalesig\|8L 3s<3/1>}}. This scale has octaves that are too frequent for the listener to feel a tritave equivalence. The range of possible dark generators will likely feel sufficiently pseudo-octave. Similar to [[Angel]], it would be good to utilize a finite-length chain of octaves and make use of existing diatonic music theory.		By dividing the {{mos scalesig\|5L 2s}} of LLsLLLs into A=LLs and B=LLLs, and combining them as ABBABB..., it becomes {{mos scalesig\|8L 3s<3/1>}}. This scale has octaves that are too frequent for the listener to feel a tritave equivalence. The range of possible dark generators will likely feel sufficiently pseudo-octave. Similar to [[Angel]], it would be good to utilize a finite-length chain of octaves and make use of existing diatonic music theory. Markus Schmidmeier has written extensively on this in his paper [https://arxiv.org/abs/1709.00375 2:3:4-Harmony within the Tritave].

	=== Low harmonic entropy scales ===		=== Low harmonic entropy scales ===

Zhenlige: /* Low harmonic entropy scales */

2025-06-20T19:13:07Z

Low harmonic entropy scales

← Older revision		Revision as of 19:13, 20 June 2025
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	* Pythagorean tuning (period = 3/1, generator = 3/2): L/s = 2.260		* Pythagorean tuning (period = 3/1, generator = 3/2): L/s = 2.260
	* Tritave-equivalent meantone tunings:		* Tritave-equivalent meantone tunings:
	** 1/6-comma ~~3eantone{{idiosyncratic}}~~ tuning ([[unchanged-interval]]s: {3/1, 5/4}): L/s = 1.625		** 1/6-comma pure-tritave meantone tuning ([[unchanged-interval]]s: {3/1, 5/4}): L/s = 1.625

	== Tuning ranges ==		== Tuning ranges ==

Dummy index: -Scale Signature

2025-04-19T15:58:58Z

-Scale Signature

← Older revision		Revision as of 15:58, 19 April 2025
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	{{Infobox MOS~~\|Scale Signature=8L 3s<3/1>~~}}		{{Infobox MOS}}
	{{MOS intro~~\|Scale Signature=8L 3s<3/1>~~}}		{{MOS intro}}
	{{mos scalesig\|8L 3s<3/1>}} scale pattern includes the well-known {{mos scalesig\|5L 2s\|link=1}} pattern within it.		{{mos scalesig\|8L 3s<3/1>}} scale pattern includes the well-known {{mos scalesig\|5L 2s\|link=1}} pattern within it.

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	=== Intervals ===		=== Intervals ===
	{{MOS intervals~~\|Scale Signature=8L 3s<3/1>~~}}		{{MOS intervals}}

	=== Generator chain ===		=== Generator chain ===
	{{MOS genchain~~\|Scale Signature=8L 3s<3/1>~~}}		{{MOS genchain}}

	=== Modes ===		=== Modes ===
	{{MOS mode degrees~~\|Scale Signature=8L 3s<3/1>~~}}		{{MOS mode degrees}}

	== Theory ==		== Theory ==
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	== Tuning ranges ==		== Tuning ranges ==
	=== Simple tunings ===		=== Simple tunings ===
	{{MOS tunings~~\|Scale Signature=8L 3s<3/1>~~\|Step Ratios=2/1; 3/1; 3/2}}		{{MOS tunings\|Step Ratios=2/1; 3/1; 3/2}}

	=== Soft-of-basic tunings ===		=== Soft-of-basic tunings ===
	{{MOS tunings~~\|Scale Signature=8L 3s<3/1>~~\|Step Ratios=5/4; 4/3; 3/2; 5/3}}		{{MOS tunings\|Step Ratios=5/4; 4/3; 3/2; 5/3}}

	=== Hard-of-basic tunings ===		=== Hard-of-basic tunings ===
	{{MOS tunings~~\|Scale Signature=8L 3s<3/1>~~\|Step Ratios=5/2; 3/1; 4/1; 5/1}}		{{MOS tunings\|Step Ratios=5/2; 3/1; 4/1; 5/1}}

	== Scale tree ==		== Scale tree ==
	{{MOS tuning spectrum~~\|Scale Signature=8L 3s<3/1>~~\|9/4=Pythagorean tuning is around here}}		{{MOS tuning spectrum\|9/4=Pythagorean tuning is around here}}

Dummy index: rework and cleanup

2025-04-19T15:41:37Z

rework and cleanup

Show changes

FloraC: Pls use standard todo remark

2025-04-17T12:06:59Z

Pls use standard todo remark

← Older revision		Revision as of 12:06, 17 April 2025
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	{{Todo\|~~rewrite~~\|inline=1\|comment=Rewrite according to [[Xenharmonic Wiki:Conventions]] and [[Xenharmonic Wiki:Article guidelines]]}}{{Todo\|cleanup\|inline=1\|comment=Russian obikhod (LLsLLs(LLs)<sup>+</sup>LL) and 8L 3s <3/1> (LLLsLLLsLLs) are unrelated step patterns, so references to the former should be (re)moved.}}{{Infobox MOS		{{Todo\|rework\|inline=1\|comment=Rewrite according to [[Xenharmonic Wiki: Conventions]] and [[Xenharmonic Wiki: Article guidelines]]}}
			{{Todo\|cleanup\|inline=1\|comment=Russian obikhod (LLsLLs(LLs)<sup>+</sup>LL) and 8L 3s <3/1> (LLLsLLLsLLs) are unrelated step patterns, so references to the former should be (re)moved.}}
			{{Infobox MOS
	\| Name =		\| Name =
	\| Equave = 3/1		\| Equave = 3/1

BudjarnLambeth: Todo notice mentioned style guide so I added links to our style guides to make editors lives easier

2024-12-16T02:01:30Z

Todo notice mentioned style guide so I added links to our style guides to make editors lives easier

← Older revision		Revision as of 02:01, 16 December 2024
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	{{Todo\|rewrite\|inline=1\|comment=Rewrite according to ~~style guide~~}}{{Todo\|cleanup\|inline=1\|comment=Russian obikhod (LLsLLs(LLs)<sup>+</sup>LL) and 8L 3s <3/1> (LLLsLLLsLLs) are unrelated step patterns, so references to the former should be (re)moved.}}{{Infobox MOS		{{Todo\|rewrite\|inline=1\|comment=Rewrite according to [[Xenharmonic Wiki:Conventions]] and [[Xenharmonic Wiki:Article guidelines]]}}{{Todo\|cleanup\|inline=1\|comment=Russian obikhod (LLsLLs(LLs)<sup>+</sup>LL) and 8L 3s <3/1> (LLLsLLLsLLs) are unrelated step patterns, so references to the former should be (re)moved.}}{{Infobox MOS
	\| Name =		\| Name =
	\| Equave = 3/1		\| Equave = 3/1

Ganaram inukshuk: Page needs significant rewrites, so added todo

2024-08-27T22:22:43Z

Page needs significant rewrites, so added todo

← Older revision		Revision as of 22:22, 27 August 2024
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	{{Todo\|cleanup\|inline=1\|comment=Russian obikhod (LLsLLs(LLs)<sup>+</sup>LL) and 8L 3s <3/1> (LLLsLLLsLLs) are unrelated step patterns, so references to the former should be (re)moved.}}{{Infobox MOS		{{Todo\|rewrite\|inline=1\|comment=Rewrite according to style guide}}{{Todo\|cleanup\|inline=1\|comment=Russian obikhod (LLsLLs(LLs)<sup>+</sup>LL) and 8L 3s <3/1> (LLLsLLLsLLs) are unrelated step patterns, so references to the former should be (re)moved.}}{{Infobox MOS
	\| Name =		\| Name =
	\| Equave = 3/1		\| Equave = 3/1

CompactStar: Remove the Obikhod section to begin

2024-03-04T04:33:21Z

Remove the Obikhod section to begin

@@ Line 9: / Line 9: @@
 }}
 {{MOS intro}}
 ==Standing assumptions==
 The tempered generalized Livenka accordion is used in this article to refer to tunings of the pitch set.

Ganaram inukshuk: Reworded todo

2024-03-03T10:38:03Z

Reworded todo

← Older revision		Revision as of 10:38, 3 March 2024
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	{{Todo\|cleanup\|inline=1\|comment=~~Remove references to~~ Russian obikhod~~, since the step pattern is repeated groups of~~ LL ~~each separated by one s;~~ 8L 3s ~~is only a special case of n×~~(~~LLs~~)~~+LL~~}}{{Infobox MOS		{{Todo\|cleanup\|inline=1\|comment=Russian obikhod (LLsLLs(LLs)<sup>+</sup>LL) and 8L 3s <3/1> (LLLsLLLsLLs) are unrelated step patterns, so references to the former should be (re)moved.}}{{Infobox MOS
	\| Name =		\| Name =
	\| Equave = 3/1		\| Equave = 3/1

Ganaram inukshuk: verify->cleanup (obikhod is its own thing, separate and unrelated to 8L 3s <3/1>)

2024-03-03T10:27:11Z

verify->cleanup (obikhod is its own thing, separate and unrelated to 8L 3s <3/1>)

← Older revision		Revision as of 10:27, 3 March 2024
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	{{Todo\|~~confirm~~\|inline=1\|comment=~~Determine whether~~ 8L 3s ~~<3/1> and Russian obikhod are truly related~~}}{{Infobox MOS		{{Todo\|cleanup\|inline=1\|comment=Remove references to Russian obikhod, since the step pattern is repeated groups of LL each separated by one s; 8L 3s is only a special case of n×(LLs)+LL}}{{Infobox MOS
	\| Name =		\| Name =
	\| Equave = 3/1		\| Equave = 3/1