13edo scales - Revision history

BudjarnLambeth: Navbox

2026-03-20T06:02:21Z

Navbox

← Older revision		Revision as of 06:02, 20 March 2026
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			{{Navbox scale gallery}}

	[[Category:13edo]]		[[Category:13edo]]
	[[Category:Lists of scales]]		[[Category:Lists of scales]]
	[[Category:Guitar]]		[[Category:Guitar]]

BudjarnLambeth: New sephiroth scale is incorrect, does not add to 13. Old one is correct so reverted to that. M5 is usually not considered a substitute P5 but instead a new and different interval class in its own right.

2024-12-12T21:22:47Z

New sephiroth scale is incorrect, does not add to 13. Old one is correct so reverted to that. M5 is usually not considered a substitute P5 but instead a new and different interval class in its own right.

← Older revision		Revision as of 21:22, 12 December 2024
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	\| 8		\| 8
	\| 738.46		\| 738.46
	\| Major fifth (M5~~) (substitute for P5~~)		\| Major fifth (M5)
	\|-		\|-
	\| 9		\| 9
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	\| 4:9:11:13		\| 4:9:11:13
	\|-		\|-
	\| Sephiroth decatonic (~~13123131~~)		\| Sephiroth decatonic (1313131)
	\| major third (4\13)		\| major third (4\13)
	\| 4:5:13		\| 4:5:13

MisterShafXen at 23:10, 12 October 2024

2024-10-12T23:10:02Z

← Older revision		Revision as of 23:10, 12 October 2024
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	\| 8		\| 8
	\| 738.46		\| 738.46
	\| Major fifth (M5)		\| Major fifth (M5) (substitute for P5)
	\|-		\|-
	\| 9		\| 9
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	\| 4:9:11:13		\| 4:9:11:13
	\|-		\|-
	\| Sephiroth decatonic (~~1313131~~)		\| Sephiroth decatonic (13123131)
	\| major third (4\13)		\| major third (4\13)
	\| 4:5:13		\| 4:5:13

Fredg999: Moved contents from "13EDO Scales and Chords for Guitar", categories

2022-02-25T03:28:47Z

Moved contents from "13EDO Scales and Chords for Guitar", categories

← Older revision		Revision as of 03:28, 25 February 2022
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	== Oneirotonic (5L 3s) ==		== Oneirotonic (5L 3s) ==
	:''Main article: [[5L 3s]]''		:''Main article: [[5L 3s]]''
			[[File:Oneirotonic_Scale_-_Dylathian_in_L.png\|alt=Oneirotonic Scale - Dylathian in L.png\|800x135px\|Oneirotonic Scale - Dylathian in L.png]]

			[[:File:Oneirotonic_Scale_-_Dylathian_in_L.svg\|Oneirotonic Scale - Dylathian in L.svg]]

			[[:File:13edo-fretboard-template.svg\|13edo-fretboard-template.svg]]

	== Switching between archeo- and oneirotonic ==		== Switching between archeo- and oneirotonic ==
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			[[Category:13edo]]
			[[Category:Lists of scales]]
			[[Category:Guitar]]

Cmloegcmluin: link to new page for Supports

2022-01-25T19:04:42Z

link to new page for Supports

← Older revision		Revision as of 19:04, 25 January 2022
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	== Nonatonic (4L 5s) ==		== Nonatonic (4L 5s) ==

	Generated by 3\13, the 276.9-cent minor third approximating [[13/11]], this scale sounds a little like the octatonic scale in 12edo with an extra small step inserted. Two of these make an 11/8 and three make a 13/8, making this scale very good for 4:11:13 triads. (In terms of regular temperament theory, this makes 13edo a tuning for the [[Color notation\|bithotrilu]] temperament that tempers out the bithotrilu comma 1352/1331 = {{monzo\|3 0 0 0 -3 2}}, aka "lovecraft temperament".) [[17edo]] also ~~supports~~ bithotrilu temperament and thus has a similar 4L 5s scale, generated by the 4\17 minor third. Similar scales also exist in 22edo and 31edo with flatter generators, but they use a [[Orwell\|different temperament]] and won't approximate the 13th harmonic.		Generated by 3\13, the 276.9-cent minor third approximating [[13/11]], this scale sounds a little like the octatonic scale in 12edo with an extra small step inserted. Two of these make an 11/8 and three make a 13/8, making this scale very good for 4:11:13 triads. (In terms of regular temperament theory, this makes 13edo a tuning for the [[Color notation\|bithotrilu]] temperament that tempers out the bithotrilu comma 1352/1331 = {{monzo\|3 0 0 0 -3 2}}, aka "lovecraft temperament".) [[17edo]] also [[support]]s bithotrilu temperament and thus has a similar 4L 5s scale, generated by the 4\17 minor third. Similar scales also exist in 22edo and 31edo with flatter generators, but they use a [[Orwell\|different temperament]] and won't approximate the 13th harmonic.

	=== Scale ===		=== Scale ===

Inthar: /* Oneirotonic (5L 3s) */

2021-03-12T22:55:23Z

Oneirotonic (5L 3s)

@@ Line 182: / Line 182: @@
 == Oneirotonic (5L 3s) ==
+:''Main article: [[5L 3s]]''
 == Switching between archeo- and oneirotonic ==

Inthar: /* Oneirotonic (5L 3s) */Btw illarnekian should have 2 Ls

2021-02-03T12:55:44Z

Oneirotonic (5L 3s): Btw illarnekian should have 2 Ls

← Older revision		Revision as of 12:55, 3 February 2021
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	== Oneirotonic (5L 3s) ==		== Oneirotonic (5L 3s) ==

	The oneirotonic scale is the darker, damper, more "minory" cousin of archaeotonic. Only 2 out of 8 oneirotonic modes (Dylathian and ~~Ilarnekian~~) are "major" in the sense of having a major third, and both sound pretty bittersweet.		The oneirotonic scale is the darker, damper, more "minory" cousin of archaeotonic. Only 2 out of 8 oneirotonic modes (Dylathian and Illarnekian) are "major" in the sense of having a major third, and both sound pretty bittersweet.

	The names I use for the oneirotonic interval classes are borrowed from diatonic interval categories: "second", "third", "fourth", "tritone" (4-step intervals), "fifth" (5-step intervals), "sixth" (6-step intervals), "seventh" (7-step intervals) and octave. You just have to remember that there's an extra category between fourths and fifths and that fourths and fifths are dissonant. Like in archeotonic you can change the perception of an interval by approaching it from different directions, but in oneirotonic it will change what diatonic interval class you hear it as: say, as both a third and a fourth, rather than both a major and a minor third.		The names I use for the oneirotonic interval classes are borrowed from diatonic interval categories: "second", "third", "fourth", "tritone" (4-step intervals), "fifth" (5-step intervals), "sixth" (6-step intervals), "seventh" (7-step intervals) and octave. You just have to remember that there's an extra category between fourths and fifths and that fourths and fifths are dissonant. Like in archeotonic you can change the perception of an interval by approaching it from different directions, but in oneirotonic it will change what diatonic interval class you hear it as: say, as both a third and a fourth, rather than both a major and a minor third.
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	==== Modes with sharp tritone ====		==== Modes with sharp tritone ====

	The brighter modes can be viewed as providing a distorted version of diatonic functional harmony. For example, in the Dylathian mode, the 4:5:9 triad on the sixth degree can sound like both "V" and "III of iv" depending on context. Basic chord progressions can move by minor fourths, thirds, or major seconds: for example, J major-M minor-P minor-Ob major-J major (in ~~Ilarnekian~~) or J major-K major-O major-M major-J major (in Dylathian).		The brighter modes can be viewed as providing a distorted version of diatonic functional harmony. For example, in the Dylathian mode, the 4:5:9 triad on the sixth degree can sound like both "V" and "III of iv" depending on context. Basic chord progressions can move by minor fourths, thirds, or major seconds: for example, J major-M minor-P minor-Ob major-J major (in Illarnekian) or J major-K major-O major-M major-J major (in Dylathian).

	==== Modes with flat tritone ====		==== Modes with flat tritone ====
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	[[File:Oneirotonic 3 part sample.mp3]]		[[File:Oneirotonic 3 part sample.mp3]]

	‎(A rather classical-sounding 3-part harmonization of the ascending J ~~Ilarnekian~~ scale; tuning is 13edo)		‎(A rather classical-sounding 3-part harmonization of the ascending J Illarnekian scale; tuning is 13edo)

	== Switching between archeo- and oneirotonic ==		== Switching between archeo- and oneirotonic ==

Inthar at 12:53, 3 February 2021

2021-02-03T12:53:48Z

← Older revision		Revision as of 12:53, 3 February 2021
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	\| Dylathian 2 2 1 2 2 1 2 1 \|\| ↔ \|\| Oukranian 2 2 1 2 2 2 2		\| Dylathian 2 2 1 2 2 1 2 1 \|\| ↔ \|\| Oukranian 2 2 1 2 2 2 2
	\|-		\|-
	\| ~~Ilarnekian~~ 2 2 1 2 1 2 2 1 \|\| ↔ \|\| Ryonian 2 2 2 2 2 2 1		\| Illarnekian 2 2 1 2 1 2 2 1 \|\| ↔ \|\| Ryonian 2 2 2 2 2 2 1
	\|-		\|-
	\| Ultharian 2 1 2 2 1 2 1 2 \|\| ↔ \|\| Tamashian 2 1 2 2 2 2 2		\| Ultharian 2 1 2 2 1 2 1 2 \|\| ↔ \|\| Tamashian 2 1 2 2 2 2 2

Inthar: /* Modal harmony */Illarnek is lovecraft's spelling

2021-02-03T12:53:11Z

Modal harmony: Illarnek is lovecraft's spelling

← Older revision		Revision as of 12:53, 3 February 2021
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	#Dylathian: 2 2 1 2 2 1 2 1 (major with hints of Mixolydian and "#5")		#Dylathian: 2 2 1 2 2 1 2 1 (major with hints of Mixolydian and "#5")
	#~~Ilarnekian~~: 2 2 1 2 1 2 2 1 (major with hints of "b6")		#Illarnekian: 2 2 1 2 1 2 2 1 (major with hints of "b6")
	#Celephaïsian: 2 1 2 2 1 2 2 1 (the oneirotonic melodic minor. Very classical-sounding; Easley Blackwood's 13-note etude uses this as its home mode.)		#Celephaïsian: 2 1 2 2 1 2 2 1 (the oneirotonic melodic minor. Very classical-sounding; Easley Blackwood's 13-note etude uses this as its home mode.)
	#Ultharian: 2 1 2 2 1 2 1 2		#Ultharian: 2 1 2 2 1 2 1 2

Inthar: /* Chords */

2020-12-09T00:40:48Z

Chords

← Older revision		Revision as of 00:40, 9 December 2020
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	=== Chords ===		=== Chords ===
	The squashed major and minor triads, 0-4-7 and 0-3-7 represent 9:11:13 and 11:13:16 respectively.		The squashed major and minor triads, 0-4-7 and 0-3-7 can be taken to represent 9:11:13 and 11:13:16 respectively.

	Extended chords with sixths and sevenths are also useful. For example:		Extended chords with sixths and sevenths are also useful. For example: