User:Inthar/18edo - Revision history

Inthar: Inthar moved page 18edo/Inthar's approach to User:Inthar/18edo

2023-12-29T08:18:46Z

Inthar moved page 18edo/Inthar's approach to User:Inthar/18edo

← Older revision	Revision as of 08:18, 29 December 2023
(No difference)

Fredg999 category edits: Categories

2022-06-07T02:30:12Z

Inthar: /* Modulation */

2021-06-23T06:22:19Z

Modulation

← Older revision		Revision as of 06:22, 23 June 2021
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	5ths and 4ths		5ths and 4ths
	* sup5, sub5, sup4~~, sub4~~		* sup5 / sub4, sub5 / sup4
	3rds and 6ths		3rds and 6ths
	* maj3, supmin3, submin3~~, min3, submaj6,~~ supmaj6		* maj3 / min6, supmin3 / submaj6, submin3 / supmaj6
	2nds		2nds
	* maj2, min7 (maj2 = sup5 + sub5 = 3sub4 = 3submaj6) -- these are familiar		* maj2 / min7 (maj2 = sup5 + sub5 = 3sub4 = 3submaj6) -- these are familiar
	Dissonances		Dissonances
	* supmin2, submin2, supmaj7~~, submaj7~~, tritone		* supmin2 / submaj7, submin2 / supmaj7, tritone

	Sup and sub cancel and result in a 12edo (actually 6edo) interval. So do 3 sup's and 3 sub's, as one sup/sub = ±1\36.		Sup and sub cancel and result in a 12edo (actually 6edo) interval. So do 3 sup's and 3 sub's, as one sup/sub = ±1\36.

	sub5/sup4 forms a 9edo subset, maj3 forms 3edo subset, maj2 forms 6edo subset. supmin3 and sub4 form complete cycles		sub5/sup4 forms a 9edo subset, maj3 forms 3edo subset, maj2 forms 6edo subset. supmin3 and sub4 form complete cycles

Inthar: /* Harmonic syntax */

2021-06-23T06:20:34Z

Harmonic syntax

← Older revision		Revision as of 06:20, 23 June 2021
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	=== Modulation ===		=== Modulation ===
	Some important modulatory intervals in 18edo:		Some important modulatory intervals in 18edo:

	5ths and 4ths		5ths and 4ths
	* sup5, sub5, sup4, sub4		* sup5, sub5, sup4, sub4

Inthar: /* Harmonic syntax */

2021-06-23T06:20:15Z

Harmonic syntax

← Older revision		Revision as of 06:20, 23 June 2021
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	* maj2, min7 (maj2 = sup5 + sub5 = 3sub4 = 3submaj6) -- these are familiar		* maj2, min7 (maj2 = sup5 + sub5 = 3sub4 = 3submaj6) -- these are familiar
	Dissonances		Dissonances
	* supmin2, submin2, supmaj7, submaj7, tritone ~~are the most dissonant modulations~~		* supmin2, submin2, supmaj7, submaj7, tritone

	Sup and sub cancel and result in a 12edo (actually 6edo) interval. So do 3 sup's and 3 sub's, as one sup/sub = ±1\36.		Sup and sub cancel and result in a 12edo (actually 6edo) interval. So do 3 sup's and 3 sub's, as one sup/sub = ±1\36.

	sub5/sup4 forms a 9edo subset, maj3 forms 3edo subset, maj2 forms 6edo subset. supmin3 and sub4 form complete cycles		sub5/sup4 forms a 9edo subset, maj3 forms 3edo subset, maj2 forms 6edo subset. supmin3 and sub4 form complete cycles

Inthar: /* Harmonic syntax */

2021-06-23T06:18:58Z

Harmonic syntax

← Older revision		Revision as of 06:18, 23 June 2021
Line 45:		Line 45:
	* sup5, sub5, sup4, sub4		* sup5, sub5, sup4, sub4
	3rds and 6ths		3rds and 6ths
	* maj3, supmin3, submin3		* maj3, supmin3, submin3, min3, submaj6, supmaj6
	* min3, submaj6, supmaj6
	2nds		2nds
	* maj2 (maj2 = sup5 + sub5)		* maj2, min7 (maj2 = sup5 + sub5 = 3sub4 = 3submaj6) -- these are familiar
	Dissonances		Dissonances
	* supmin2, submin2, supmaj7, submaj7, tritone are the most dissonant modulations		* supmin2, submin2, supmaj7, submaj7, tritone are the most dissonant modulations

Inthar: /* Harmonic syntax */

2021-06-23T06:17:25Z

Harmonic syntax

← Older revision		Revision as of 06:17, 23 June 2021
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	* resolve the 600 tritone inwards to 467 or outwards to 733 instead of a traditional third		* resolve the 600 tritone inwards to 467 or outwards to 733 instead of a traditional third
			=== Modulation ===
			Some important modulatory intervals in 18edo:
			5ths and 4ths
			* sup5, sub5, sup4, sub4
			3rds and 6ths
			* maj3, supmin3, submin3
			* min3, submaj6, supmaj6
			2nds
			* maj2 (maj2 = sup5 + sub5)
			Dissonances
			* supmin2, submin2, supmaj7, submaj7, tritone are the most dissonant modulations

			Sup and sub cancel and result in a 12edo (actually 6edo) interval. So do 3 sup's and 3 sub's, as one sup/sub = ±1\36.

			sub5/sup4 forms a 9edo subset, maj3 forms 3edo subset, maj2 forms 6edo subset. supmin3 and sub4 form complete cycles

Xenwolf: link to 18edo; formatting

2021-06-06T13:17:08Z

link to 18edo; formatting

← Older revision		Revision as of 13:17, 6 June 2021
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	Notes: I'm also taking some of Well-Tempered Fox's ideas.		Notes: I ([[User:Inthar\|Inthar]]) am also taking some of Well-Tempered Fox's ideas how to approach [[18edo]].

	== Scales ==		== Scales ==

	* Irregularized diatonic: 2333133 or 1333233		* Irregularized diatonic: 2333133 or 1333233
	* [[4L 3s/Inthar's approach\|Smitonic]]		* [[4L 3s/Inthar's approach\|Smitonic]]
	* [[5L 3s/Inthar's approach\|Oneirotonic]]		* [[5L 3s/Inthar's approach\|Oneirotonic]]
	* "Octokaidecal" (8L 2s)		* "Octokaidecal" (8L 2s)

	== Chords ==		== Chords ==
	=== Stacked-third chords ===		=== Stacked-third chords ===

	Split the major ninth, 1400 cents, into two different fifths, one 666 and one 733. Split each fifth into two thirds. This results in 24 possibilities.		Split the major ninth, 1400 cents, into two different fifths, one 666 and one 733. Split each fifth into two thirds. This results in 24 possibilities.
	* 0-467-733-1133-200		* 0-467-733-1133-200
Line 32:		Line 36:
	* 0-267-666-1000-200		* 0-267-666-1000-200
	* 0-267-666-933-200		* 0-267-666-933-200

	== Harmonic syntax ==		== Harmonic syntax ==

	* resolve the 600 tritone inwards to 467 or outwards to 733 instead of a traditional third		* resolve the 600 tritone inwards to 467 or outwards to 733 instead of a traditional third

Inthar at 05:43, 26 May 2021

2021-05-26T05:43:40Z

← Older revision		Revision as of 05:43, 26 May 2021
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			Notes: I'm also taking some of Well-Tempered Fox's ideas.
	== Scales ==		== Scales ==
	* Irregularized diatonic: 2333133 or 1333233		* Irregularized diatonic: 2333133 or 1333233
Line 31:		Line 32:
	* 0-267-666-1000-200		* 0-267-666-1000-200
	* 0-267-666-933-200		* 0-267-666-933-200
			== Harmonic syntax ==
			* resolve the 600 tritone inwards to 467 or outwards to 733 instead of a traditional third

Inthar: Created page with "== Scales == * Irregularized diatonic: 2333133 or 1333233 * Smitonic * Oneirotonic * "Octokaidecal" (8L 2s) == Chords =..."

2021-05-26T05:42:30Z

Created page with "== Scales == * Irregularized diatonic: 2333133 or 1333233 * Smitonic * Oneirotonic * "Octokaidecal" (8L 2s) == Chords =..."

New page

== Scales ==
* Irregularized diatonic: 2333133 or 1333233
* [[4L 3s/Inthar's approach|Smitonic]]
* [[5L 3s/Inthar's approach|Oneirotonic]]
* "Octokaidecal" (8L 2s)
== Chords ==
=== Stacked-third chords ===
Split the major ninth, 1400 cents, into two different fifths, one 666 and one 733. Split each fifth into two thirds. This results in 24 possibilities.
* 0-467-733-1133-200
* 0-467-733-1067-200
* 0-467-733-1000-200
* 0-400-733-1133-200
* 0-400-733-1067-200
* 0-400-733-1000-200
* 0-333-733-1133-200
* 0-333-733-1067-200
* 0-333-733-1000-200
* 0-267-733-1133-200
* 0-267-733-1067-200
* 0-267-733-1000-200
* 0-400-666-1133-200
* 0-400-666-1067-200
* 0-400-666-1000-200
* 0-400-666-933-200
* 0-333-666-1133-200
* 0-333-666-1067-200
* 0-333-666-1000-200
* 0-333-666-933-200
* 0-267-666-1133-200
* 0-267-666-1067-200
* 0-267-666-1000-200
* 0-267-666-933-200

← Older revision		Revision as of 02:30, 7 June 2022
Line 55:		Line 55:

	sub5/sup4 forms a 9edo subset, maj3 forms 3edo subset, maj2 forms 6edo subset. supmin3 and sub4 form complete cycles		sub5/sup4 forms a 9edo subset, maj3 forms 3edo subset, maj2 forms 6edo subset. supmin3 and sub4 form complete cycles

			[[Category:18edo]]