1L 12s - Revision history

ArrowHead294 at 18:49, 3 March 2025

2025-03-03T18:49:29Z

← Older revision		Revision as of 18:49, 3 March 2025
Line 6:		Line 6:
	== 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 17:16, 28 February 2025

2025-02-28T17:16:26Z

← Older revision		Revision as of 17:16, 28 February 2025
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	{{MOS intro}}		{{MOS intro}}

	This MOS, also called the '''Happy tridecatonic scale''', has its first [[harmonic entropy]] minimum at 1/[[14edo]]-3/[[40edo]], where 3:2 is +8 [[generator]]s (giving [[Octacot]]). However, the absolute harmonic entropy minimum is [[Nautilus]] (3:2~~=-6~~ generators), and that is not complete until 14 tones.		This MOS, also called the '''Happy tridecatonic scale''', has its first [[harmonic entropy]] minimum at 1/[[14edo]]-3/[[40edo]], where 3:2 is +8 [[generator]]s (giving [[Octacot]]). However, the absolute harmonic entropy minimum is [[Nautilus]] ({{nowrap\|3:2 ← −6 generators}}), and that is not complete until 14 tones.

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

	== Scale tree ==		== Scale tree ==
	{{~~Scale tree~~\|~~Comments=~~		{{MOS tuning spectrum
	10/7: [[Slithy]];		\| 10/7 = [[Slithy]]
	13/8: Golden [[octacot]] (88.118¢);		\| 13/8 = Golden [[octacot]] (88.118¢)
	12/5: [[Marvolo]];		\| 12/5 = [[Marvolo]]
	5/2: [[Nautilus]];		\| 5/2 = [[Nautilus]]
	13/5: Unnamed golden tuning;		\| 13/5 = Unnamed golden tuning
	3/1: [[Nuke]];		\| 3/1 = [[Nuke]]
	10/3: [[Valentine]];		\| 10/3 = [[Valentine]]
	9/2: [[Slurpee]];		\| 9/2 = [[Slurpee]]
	6/1: ↓[[Unicorn]];		\| 6/1 = ↓[[Unicorn]]
	}}		}}

			{{Todo\|improve synopsis\|inline=1\|text=Rewrite intro with the same information but worded in a way that’s easier to parse.}}

	~~{{Todo\|improve synopsis\|inline=1\|text=Rewrite intro with the same information but worded in a way that’s easier to parse.}}~~
	[[Category:13-tone scales]]		[[Category:13-tone scales]]

FloraC: /* Scale tree */ +slurpee

2025-01-02T12:17:54Z

Scale tree: +slurpee

← Older revision		Revision as of 12:17, 2 January 2025
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	3/1: [[Nuke]];		3/1: [[Nuke]];
	10/3: [[Valentine]];		10/3: [[Valentine]];
			9/2: [[Slurpee]];
	6/1: ↓[[Unicorn]];		6/1: ↓[[Unicorn]];
	}}		}}

FloraC: /* Scale tree */ +golden tuning

2024-12-21T08:56:18Z

Scale tree: +golden tuning

← Older revision		Revision as of 08:56, 21 December 2024
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	12/5: [[Marvolo]];		12/5: [[Marvolo]];
	5/2: [[Nautilus]];		5/2: [[Nautilus]];
			13/5: Unnamed golden tuning;
	3/1: [[Nuke]];		3/1: [[Nuke]];
	10/3: [[Valentine]];		10/3: [[Valentine]];

BudjarnLambeth: Update todo

2024-12-21T07:41:37Z

Update todo

← Older revision		Revision as of 07:41, 21 December 2024
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	{{Todo\|improve synopsis~~\|add links~~\|inline=1\|text=Rewrite intro}}		{{Todo\|improve synopsis\|inline=1\|text=Rewrite intro with the same information but worded in a way that’s easier to parse.}}
	[[Category:13-tone scales]]		[[Category:13-tone scales]]

FloraC: /* Scale tree */ expand

2024-12-18T11:21:18Z

Scale tree: expand

← Older revision		Revision as of 11:21, 18 December 2024
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	{{MOS intervals}}		{{MOS intervals}}

	==Scale tree==		== Scale tree ==
	{{Scale tree}}		{{Scale tree\|Comments=
			10/7: [[Slithy]];
			13/8: Golden [[octacot]] (88.118¢);
			12/5: [[Marvolo]];
			5/2: [[Nautilus]];
			3/1: [[Nuke]];
			10/3: [[Valentine]];
			6/1: ↓[[Unicorn]];
			}}


	{{Todo\|improve synopsis\|add links~~\|complete table~~\|inline=1\|text=Rewrite intro~~, add links to temperaments in scale tree~~}}		{{Todo\|improve synopsis\|add links\|inline=1\|text=Rewrite intro}}
	[[Category:13-tone scales]]		[[Category:13-tone scales]]

BudjarnLambeth at 07:54, 15 December 2024

2024-12-15T07:54:56Z

← Older revision		Revision as of 07:54, 15 December 2024
Line 2:		Line 2:
	{{MOS intro}}		{{MOS intro}}

	This MOS, also called the Happy tridecatonic scale, has its first [[harmonic entropy]] minimum at 1/[[14edo]]-3/[[40edo]], where 3:2 is +8 [[generator]]s (giving [[Octacot]]). However, the absolute harmonic entropy minimum is [[Nautilus]] (3:2=-6 generators), and that is not complete until 14 tones.		This MOS, also called the '''Happy tridecatonic scale''', has its first [[harmonic entropy]] minimum at 1/[[14edo]]-3/[[40edo]], where 3:2 is +8 [[generator]]s (giving [[Octacot]]). However, the absolute harmonic entropy minimum is [[Nautilus]] (3:2=-6 generators), and that is not complete until 14 tones.

	==Modes ==		==Modes ==

BudjarnLambeth: Several minor

2024-12-15T07:54:33Z

Several minor

← Older revision		Revision as of 07:54, 15 December 2024
Line 1:		Line 1:
	~~{{Todo\|cleanup\|inline=1\|text=Rewrite intro, add links to temperaments}}~~{{Infobox MOS}}		{{Infobox MOS}}
	{{MOS intro}}		{{MOS intro}}
	This MOS, also called the Happy tridecatonic scale, has its first harmonic entropy minimum at 1/14edo-3/40edo, where 3:2 is +8 ~~generators~~ (Octacot). However, the absolute harmonic entropy minimum is Nautilus (3:2=-6 generators), and that is not complete until 14 tones.
			This MOS, also called the Happy tridecatonic scale, has its first [[harmonic entropy]] minimum at 1/[[14edo]]-3/[[40edo]], where 3:2 is +8 [[generator]]s (giving [[Octacot]]). However, the absolute harmonic entropy minimum is [[Nautilus]] (3:2=-6 generators), and that is not complete until 14 tones.

	==Modes ==		==Modes ==
	{{MOS modes}}		{{MOS modes}}

			== Intervals ==
			{{MOS intervals}}

	==Scale tree==		==Scale tree==
	{{Scale tree}}		{{Scale tree}}


			{{Todo\|improve synopsis\|add links\|complete table\|inline=1\|text=Rewrite intro, add links to temperaments in scale tree}}
	[[Category:13-tone scales]]		[[Category:13-tone scales]]

Ganaram inukshuk: Added todo

2024-03-03T23:28:26Z

Added todo

← Older revision		Revision as of 23:28, 3 March 2024
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	{{~~Infobox MOS~~		{{Todo\|cleanup\|inline=1\|text=Rewrite intro, add links to temperaments}}{{Infobox MOS}}
	\| ~~Periods = 1~~
	\| ~~nLargeSteps~~ = 1
	\| ~~nSmallSteps~~ = 12
	~~\| Equalized = 12~~
	~~\| Collapsed = 1~~
	~~\| Pattern = Lssssssssssss~~
	}}
	{{MOS intro}}		{{MOS intro}}
	This MOS, also called the Happy tridecatonic scale, has its first harmonic entropy minimum at 1/14edo-3/40edo, where 3:2 is +8 generators (Octacot). However, the absolute harmonic entropy minimum is Nautilus (3:2=-6 generators), and that is not complete until 14 tones.		This MOS, also called the Happy tridecatonic scale, has its first harmonic entropy minimum at 1/14edo-3/40edo, where 3:2 is +8 generators (Octacot). However, the absolute harmonic entropy minimum is Nautilus (3:2=-6 generators), and that is not complete until 14 tones.

	==Modes==		==Modes ==
	{{MOS modes}}		{{MOS modes}}

Ganaram inukshuk: /* Scale tree */ Replaced scale tree

2024-02-19T01:20:32Z

Scale tree: Replaced scale tree

Show changes