3L 4s - Revision history

Furcht968 at 18:35, 3 April 2026

2026-04-03T18:35:00Z

← Older revision		Revision as of 18:35, 3 April 2026
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			{{Interwiki
			\|en=3L 4s
			\|es=
			\|de=
			\|ja=3L 4s
			}}
	{{Infobox MOS		{{Infobox MOS
	\| Name = mosh		\| Name = mosh

Lucius Chiaraviglio: /* Scale tree */ Add link to mohamaq

2025-11-24T10:37:56Z

Scale tree: Add link to mohamaq

← Older revision		Revision as of 10:37, 24 November 2025
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	\| 6/5 = [[Mohaha]] / ptolemy ↑		\| 6/5 = [[Mohaha]] / ptolemy ↑
	\| 5/4 = Mohaha / migration / [[mohajira]]		\| 5/4 = Mohaha / migration / [[mohajira]]
	\| 11/8 = Mohaha / mohamaq		\| 11/8 = Mohaha / [[mohamaq ]]
	\| 7/5 = Mohaha / [[neutrominant]]		\| 7/5 = Mohaha / [[neutrominant]]
	\| 10/7 = [[Hemif]] / [[hemififths]]		\| 10/7 = [[Hemif]] / [[hemififths]]

Overthink: /* Low harmonic entropy scales */ made generator size more accurate

2025-11-19T01:43:24Z

Low harmonic entropy scales: made generator size more accurate

← Older revision		Revision as of 01:43, 19 November 2025
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	* [[Neutral third scales]], such as dicot, hemififth, and mohajira, in which the generator is a neutral third (around 350{{c}}) and two of them make a 3/2 (702{{c}}).		* [[Neutral third scales]], such as dicot, hemififth, and mohajira, in which the generator is a neutral third (around 350{{c}}) and two of them make a 3/2 (702{{c}}).
	* [[Magic]], in which the generator is 5/4 (~~386~~{{c}}) and five of them make a 3/1 (1902{{c}}), though the step ratios in this range are very hard to the point of being lopsided.		* [[Magic]], in which the generator is a flattened 5/4 (around 380{{c}}) and five of them make a 3/1 (around 1902{{c}}), though the step ratios in this range are very hard to the point of being lopsided.

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

ArrowHead294: /* Theory */

2025-04-03T04:37:40Z

Theory

← Older revision		Revision as of 04:37, 3 April 2025
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	== Theory ==		== Theory ==
	Mosh can be thought of as a midpoint between two diatonic scales which are two cyclic orders away from each other. For example, ~~LsLsLss~~ is the midpoint between ~~LsLLLsL~~ and ~~LLLsLLs~~. You can prove this by simple addition.		Mosh can be thought of as a midpoint between two diatonic scales which are two cyclic orders away from each other. For example, sLsLsLs is the midpoint between the Ionian (major, LLsLLLs) and Phrygian (sLLLsLL) modes. You can prove this by simple addition:

	<pre>		<pre>
	2 1 2 2 2 1 2 (~~LsLLLsL~~)		2 2 1 2 2 2 1 (LLsLLLs)
	+ 2 2 2 1 2 2 1 (~~LLLsLLs~~)		+ 1 2 2 2 1 2 2 (sLLLsLL)
	= 4 3 4 3 4 3 3 (~~LsLsLss~~)		= 3 4 3 4 3 4 3 (sLsLsLs)
	</pre>		</pre>
	The rest of the equivalencies are listed in [[#Proposed names]].		The rest of the equivalencies are listed in [[#Proposed names]].
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	There are two notable harmonic entropy minima:		There are two notable harmonic entropy minima:

	* [[Neutral third scales]], such as dicot, hemififth, and mohajira, in which the generator is a neutral ~~3rd~~ (around 350{{c}}) and two of them make a 3/2 (702{{c}}).		* [[Neutral third scales]], such as dicot, hemififth, and mohajira, in which the generator is a neutral third (around 350{{c}}) and two of them make a 3/2 (702{{c}}).
	* [[Magic]], in which the generator is 5/4 (386{{c}}) and 5 of them make a 3/1 (1902{{c}}).		* [[Magic]], in which the generator is 5/4 (386{{c}}) and five of them make a 3/1 (1902{{c}}), though the step ratios in this range are very hard to the point of being lopsided.

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

Neutraldown at 03:49, 3 April 2025

2025-04-03T03:49:17Z

← Older revision		Revision as of 03:49, 3 April 2025
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	+ 2 2 2 1 2 2 1 (LLLsLLs)		+ 2 2 2 1 2 2 1 (LLLsLLs)
	= 4 3 4 3 4 3 3 (LsLsLss)		= 4 3 4 3 4 3 3 (LsLsLss)
			</pre>
	The rest of the equivalencies are listed in [[#Proposed names]].		The rest of the equivalencies are listed in [[#Proposed names]].

FloraC: Re-implement the addition

2025-03-23T09:59:49Z

Re-implement the addition

← Older revision		Revision as of 09:59, 23 March 2025
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	=== Proposed names ===		=== Proposed names ===
	~~One~~ set of mode nicknames was coined by [[Andrew Heathwaite]]. The other set was coined by [[User:CellularAutomaton\|CellularAutomaton]] and follows the diatonic modes' naming convention by using ancient Greek toponyms that sound similar to ~~the~~ Heathwaite names.		The first set of mode nicknames was coined by [[Andrew Heathwaite]]. The other set was coined by [[User:CellularAutomaton\|CellularAutomaton]] and follows the diatonic modes' naming convention by using ancient Greek toponyms that sound similar to Heathwaite's names. The third shows which modes are a mixture of which diatonic modes, as discussed in [[#Theory]].
	{{MOS modes		{{MOS modes
	\| Table Headers=		\| Table Headers=
	Mode names<br />(Heathwaite) $		Mode names<br>(Heathwaite) $
	Mode names<br />(CA) $		Mode names<br>(CA) $
			Mixed diatonic<br>modes $
	\| Table Entries=		\| Table Entries=
	Dril $		Dril $
	Dalmatian $		Dalmatian $
			Dorian + Lydian $
	Gil $		Gil $
	Galatian $		Galatian $
			Aeolian + Lydian $
	Kleeth $		Kleeth $
	Cilician $		Cilician $
			Aeolian + Ionian $
	Bish $		Bish $
	Bithynian $		Bithynian $
			Phrygian + Ionian $
	Fish $		Fish $
	Pisidian $		Pisidian $
			Phrygian + Mixolydian $
	Jwl $		Jwl $
	Illyrian $		Illyrian $
			Locrian + Mixolydian $
	Led $		Led $
	Lycian $		Lycian $
			Locrian + Dorian $
	}}		}}

	== Theory ==		== Theory ==
			Mosh can be thought of as a midpoint between two diatonic scales which are two cyclic orders away from each other. For example, LsLsLss is the midpoint between LsLLLsL and LLLsLLs. You can prove this by simple addition.

			<pre>
			2 1 2 2 2 1 2 (LsLLLsL)
			+ 2 2 2 1 2 2 1 (LLLsLLs)
			= 4 3 4 3 4 3 3 (LsLsLss)

			The rest of the equivalencies are listed in [[#Proposed names]].

	=== Low harmonic entropy scales ===		=== Low harmonic entropy scales ===
	There are two notable harmonic entropy minima:		There are two notable harmonic entropy minima:

FloraC: Restore wiki markup

2025-03-23T09:56:14Z

Restore wiki markup

Show changes

Wendy gunk: /* Proposed names */

2025-03-23T05:04:59Z

Proposed names

← Older revision		Revision as of 05:04, 23 March 2025
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	Bish $		Bish $
	Bithynian $		Bithynian $
	Ionian ~~+ Phrygian~~ $		Phrygian + Ionian $
	Fish $		Fish $
	Pisidian $		Pisidian $

Wendy gunk at 05:04, 23 March 2025

2025-03-23T05:04:20Z

Show changes

FloraC: +links to Scala files

2025-03-20T15:13:12Z

+links to Scala files

@@ Line 203: / Line 203: @@
 | 25/24
 |}
 == Scale tree ==