11edo modes - Revision history

Sintel: Undo revision 66955 by Moremajorthanmajor (talk)

2025-04-16T09:08:23Z

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	== [[Joan]] nonatonic (MOS 2L+7s, generator: 5\11~~, pathological~~) ==		== [[Joan]] nonatonic (MOS 2L+7s, generator: 5\11) ==

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2025-02-11T19:43:53Z

Formatting + mass-replace text

2024-12-02T04:49:54Z

2022-02-28T00:53:51Z

2022-02-26T16:48:49Z

2022-02-25T14:54:41Z

2021-04-14T01:21:08Z

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	== [[Joan]] nonatonic (MOS 2L+7s, generator: 5\11) ==		== [[Joan]] nonatonic (MOS 2L+7s, generator: 5\11, pathological) ==

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2021-04-07T01:49:39Z

Modal harmony

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	* 4 and 5 (equally): .86 bits		* 4 and 5 (equally): .86 bits
	* 3 and 6 (equally): .59 bits		* 3 and 6 (equally): .59 bits
	~~(if~~ a scale degree is high entropy it tends to be the most informative on average; the modes that have this interval as major and minor respectively are roughly a 50-50 split). This tells us that unlike in the diatonic scale, thirds and sixths are the ''least'' informative in distinguishing orgone modes. On the other hand, seconds, fourths and sevenths are highly informative, and fortunately these scale degrees appear in the most consonant triads and tetrads of 11edo orgone, namely 8:9:11:15, 8:9:11:14 and 16:17:22:28. Those chords are therefore crucial for ~~orgone~~[7] modal harmony.		If a scale degree is high entropy it tends to be the most informative on average; the modes that have this interval as major and minor respectively are roughly a 50-50 split. This tells us that unlike in the diatonic scale, thirds and sixths are the ''least'' informative in distinguishing orgone modes. On the other hand, seconds, fourths and sevenths are highly informative, and fortunately, these scale degrees appear in the most consonant triads and tetrads of 11edo orgone, namely 8:9:11:15, 8:9:11:14 and 16:17:22:28. Those chords are therefore crucial for Orgone[7] modal harmony.

	== [[Joan]] pentatonic (MOS 2L+3s, generator: 5\11) ==		== [[Joan]] pentatonic (MOS 2L+3s, generator: 5\11) ==

2021-04-05T21:20:14Z

Orgone heptatonic (MOS 4L+3s, generator: 3\11)

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	== [[Orgone]] heptatonic (MOS 4L+3s, generator: 3\11) ==		== [[Orgone]] heptatonic (MOS 4L+3s, generator: 3\11) ==
	{{main\|~~Orgone~~}}		{{main\|Smitonic}}

	[[File:11EDO_cheat_sheet.png\|400px\|thumb\|right\|11EDO Orgone smitonic cheat sheet using modified diatonic notation (G#=A, Ab=G), and smitonic interval names]]		[[File:11EDO_cheat_sheet.png\|400px\|thumb\|right\|11EDO Orgone smitonic cheat sheet using modified diatonic notation (G#=A, Ab=G), and smitonic interval names]]

2021-04-05T20:52:08Z

Orgone heptatonic (MOS 4L+3s, generator: 3\11)

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	== [[Orgone]] heptatonic (MOS 4L+3s, generator: 3\11) ==		== [[Orgone]] heptatonic (MOS 4L+3s, generator: 3\11) ==
	{{main\|Orgone}}		{{main\|Orgone}}

			[[File:11EDO_cheat_sheet.png\|400px\|thumb\|right\|11EDO Orgone smitonic cheat sheet using modified diatonic notation (G#=A, Ab=G), and smitonic interval names]]

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	*8:11:14 on degrees 1 and 6		*8:11:14 on degrees 1 and 6
	*8:11:15 on degrees 3, 5, and 7		*8:11:15 on degrees 3, 5, and 7
	*25:32:44 on degrees 2 and 4		*44:56:77 (approx. 25:32:44) on degrees 2 and 4

	===Modal harmony===		===Modal harmony===
			{{main\|Smitonic}}
	The seven modes are, from brightest to darkest:		The seven modes are, from brightest to darkest:
	*z mode: 2212121		{\| class="wikitable"
	*y mode: 2122121		\|-
	*x mode: 2121221		\| Nerevarine mode
	*V mode: 2121212		\| 2212121
	*U mode: 1221212		\|-
	*T mode: 1212212		\| Vivecan mode
	*S mode: 1212122		\| 2122121
			\|-
			\| Lorkhanic mode
			\| 2121221
			\|-
			\| Sothic mode
			\| 2121212
			\|-
			\| Kagrenacan mode
			\| 1221212
			\|-
			\| Almalexian mode
			\| 1212212
			\|-
			\| Dagothic mode
			\| 1212122
			\|}

	Modally, the highest to lowest [https://en.wikipedia.org/wiki/Entropy_(information_theory) entropy] scale degrees (unison = 1) are:		Modally, the highest to lowest [https://en.wikipedia.org/wiki/Entropy_(information_theory) entropy] scale degrees (unison = 1) are: