List of 31edo chords - Revision history

KingHyperio at 14:35, 28 April 2024

2024-04-28T14:35:35Z

← Older revision		Revision as of 14:35, 28 April 2024
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	\|-		\|-
	!Fully Diminished		!Fully Diminished
	\|25:30:36~~:42~~		\|21:25:30:36
	\|P1 m3 d5 d7		\|P1 m3 d5 d7
	\|I<sup>o</sup>7		\|I<sup>o</sup>7
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	\|Orwell:3, A-Team:6, Myna:9		\|Orwell:3, A-Team:6, Myna:9
	\|}		\|}


	== Pentads ==		== Pentads ==

KingHyperio at 20:02, 24 February 2024

2024-02-24T20:02:06Z

← Older revision		Revision as of 20:02, 24 February 2024
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	\|16:20:24:28:42:63		\|16:20:24:28:42:63
	\|P1 M3 P5 s7 v11 v15		\|P1 M3 P5 s7 v11 v15
	\|~~Ih7d11d13~~		\|Ih7d11d15
	\|Subminor ninth and suboctave add dissonance, but strong fifths between 7, 11, and 15 add structure that allows the chord to function.		\|Subminor ninth and suboctave add dissonance, but strong fifths between 7, 11, and 15 add structure that allows the chord to function.
	\|-		\|-

KingHyperio at 19:21, 24 February 2024

2024-02-24T19:21:00Z

← Older revision		Revision as of 19:21, 24 February 2024
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	\|P1 M3 P5 s7 M9 ^11		\|P1 M3 P5 s7 M9 ^11
	\|Ih11		\|Ih11
	\|The holy grail chord, a rich complex sound made up of the main harmonics in 31, nothing much to it.		\|The holy grail chord, a rich complex sound made up of the main harmonics in 31, nothing much more to say.
	\|-		\|-
	!Novemdecimal Hexad		!Novemdecimal Hexad

KingHyperio: Added pentads and extended chords

2024-02-24T19:19:13Z

Added pentads and extended chords

Show changes

Fredg999: Internal link to 31edo in lead section, categories

2024-02-19T19:49:39Z

Internal link to 31edo in lead section, categories

← Older revision		Revision as of 19:49, 19 February 2024
Line 1:		Line 1:
	This is an extensive list of chords that exist and can be utilized in 31edo. Some only exist in 31 due to tempering, and some exist due to 31's excellence in 2.3.5.7.11.23 and 2.5.7.13.17.19.		This is an extensive list of chords that exist and can be utilized in [[31edo]]. Some only exist in 31 due to tempering, and some exist due to 31's excellence in 2.3.5.7.11.23 and 2.5.7.13.17.19.

	== Triads ==		== Triads ==
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	\|Orwell:3, A-Team:6, Myna:9		\|Orwell:3, A-Team:6, Myna:9
	\|}		\|}

			[[Category:31edo]]
			[[Category:Lists of chords]]

Fredg999: Fredg999 moved page List of 31edo Chords to List of 31edo chords: WP:NCCAPS

2024-02-19T19:48:31Z

Fredg999 moved page List of 31edo Chords to List of 31edo chords: WP:NCCAPS

← Older revision	Revision as of 19:48, 19 February 2024
(No difference)

KingHyperio: Added tetrads

2024-02-19T19:39:43Z

Added tetrads

Show changes

KingHyperio at 16:58, 19 February 2024

2024-02-19T16:58:36Z

← Older revision		Revision as of 16:58, 19 February 2024
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	{\| class="wikitable"		{\| class="wikitable"
	~~\|+Example Scales~~
	!Standard Triads		!Standard Triads
	!Otonal/Utonal Representation		!Otonal/Utonal Representation
Line 115:		Line 114:
	\|Squares:2, Würschmidt:4, Joan:6, Tutone:8, Nusecond:10		\|Squares:2, Würschmidt:4, Joan:6, Tutone:8, Nusecond:10
	\|}		\|}



	{\| class="wikitable"		{\| class="wikitable"
	~~\|+Example Scales~~
	!Other Triads		!Other Triads
	!Otonal/Utonal Representation		!Otonal/Utonal Representation

KingHyperio: Added triads

2024-02-19T16:56:12Z

Added triads

New page

This is an extensive list of chords that exist and can be utilized in 31edo. Some only exist in 31 due to tempering, and some exist due to 31's excellence in 2.3.5.7.11.23 and 2.5.7.13.17.19.

== Triads ==

Triads can be standard, meaning they're a stack of thirds selection of s3, m3, n3, M3, or S3, or nonstandard, meaning that they aren't.

{| class="wikitable"
|+Example Scales
!Standard Triads
!Otonal/Utonal Representation
!Notes
!Notation
!Complexity in Temperaments
|-
!Major
|4:5:6
|P1 M3 P5
|I
|Meantone:4, Würschmidt:8, Mohajira:8, Myna:10
|-
!Minor
|6/5/4
|P1 m3 P5
|Im
|Meantone:4, Würschmidt:8, Mohajira:8, Myna:10
|-
!Subminor
|6:7:9
|P1 s3 P5
|Is
|Squares:5, Mothra:7, Orwell:7, Meantone:9
|-
!Supermajor
|9/7/6
|P1 S3 P5
|IS
|Squares:5, Mothra:7, Orwell:7, Meantone:9
|-
!Neutral
|18:22:27
|P1 n3 P5
|In
|Mohajira:2, Squares:4, Miracle:6, Würschmidt:8, Myna:10
|-
!Augmented
|16:20:25
|P1 M3 A5
|I+
|Würschmidt:2, Tutone:4, Orwell:6, Meantone:8, Valentine:10
|-
!Diminished
|25:30:36
|P1 m3 d5
|I<sup>o</sup>
|Myna:2, Nusecond:4, Meantone:6, Valentine:8, Joan:10
|-
!Harmonic Diminished
|5:6:7
|P1 m3 vd5
|Im(db5)
|Myna:3, Nusecond:6, Meantone:9
|-
!Subminor Diminished
|7/6/5
|P1 s3 vd5
|Is(db5)
|Myna:3, Nusecond:6, Meantone:9
|-
!Septimal Wolf Major
|21:27:32
|P1 S3 ^5
|IS(t5)
|Nusecond:5, Würschmidt:7, Joan:8, Valentine:10
|-
!Septimal Wolf Minor
|21:25:32
|P1 m3 ^5
|Im(t5)
|Nusecond:5, Würschmidt:7, Joan:8, Valentine:10
|-
!Subfifth Minor
|15:18:22
|P1 m3 v5
|Im(d5)
|Mohajira:6, Joan:6, Myna:6
|-
!Subfifth Neutral
|22/18/15
|P1 n3 v5
|In(d5)
|Mohajira:6, Joan:6, Myna:6
|-
!DRmaj
|24:30:35
|P1 M3 v5
|I(d5)
|Orwell:3, A-Team:6, Myna:9
|-
!DRmindim
|24:28:35
|P1 s3 v5
|Is(d5)
|Orwell:3, A-Team:6, Myna:9
|-
!Orwell
|24:28:33
|P1 s3 dd5
|Is(bb5)
|Orwell:2, A-Team:4, Myna:6, Mothra:8, Squares:10
|-
!Squares
|11:14:18
|P1 S3 AA5
|IS(x5)
|Squares:2, Würschmidt:4, Joan:6, Tutone:8, Nusecond:10
|}

{| class="wikitable"
|+Example Scales
!Other Triads
!Otonal/Utonal Representation
!Notes
!Notation
!Complexity in Temperaments
|-
!Double Diminished
|7:8:10
|P1 d3 d5
|I<sup>o</sup>(bb3)
|Tutone:5, Miracle:7, Myna:9, Meantone:10
|-
!Major b5
|10/8/7
|P1 M3 d5
|I(b5)
|Tutone:5, Miracle:7, Myna:9, Meantone:10
|-
!Minor Augmented
|27:32:42
|P1 m3 A5
|Im+
|Nusecond:5, Würschmidt:7, Joan:8
|-
!Double Augmented
|27:35:42
|P1 A3 A5
|I+(#3)
|Nusecond:5, Würschmidt:7, Joan:8
|-
!Doubly Augmented
|8:10:13
|P1 M3 AA5
|I(x5)
|Würschmidt:5, A-Team:7, Miracle:7, Mohajira:9
|-
!Sus4
|6:8:9
|P1 P4 P5
|Isus4
|Meantone:2, Mohajira:4, Mothra:6, Squares:8, Tritonic:10
|-
!Sus2
|8:9:12
|P1 M2 P5
|Isus2
|Meantone:2, Mohajira:4, Mothra:6, Squares:8, Tritonic:10
|-
!Sus(t4)
|8:11:12
|P1 ^4 P5
|Isus(t4)
|Mohajira:5, Orwell:7, Tritonic:8, Squares:10
|-
!Sus(d4)
|10:13:15
|P1 v4 P5
|Isus(d4)
|Mothra:3, Miracle:6, Valentine:9, Tritonic:12
|-
!Sus(t2)
|14:16:21
|P1 ^2 P5
|Isus(t2)
|Mothra:3, Miracle:6, Valentine:9, Tritonic:12
|-
!DRsus4
|13:17:19
|P1 v4 v5
|Isus(d4)(d5)
|A-Team:4, Mothra:8, Joan:8, Mohajira:9, Tritonic:10
|-
!DRsus2
|19/17/13
|P1 M2 v5
|Isus2(d5)
|A-Team:4, Mothra:8, Joan:8, Mohajira:9, Tritonic:10
|-
!Terrain Triad
|5:7:9
|P1 A4 m7
|I(db5)m7
|Tutone:4, Meantone:8, Squares:8, Joan:10, Tritonic:10
|-
!Harmonic Shell
|4:5:7
|P1 M3 s7
|Ih7$
|Tutone:5, Miracle:7, Myna:9, Meantone:10, Tritonic:12
|-
!Mothwellsmic Shell
|14/11/8
|P1 S3 s7
|ISs7$
|Joan:4, Orwell:8, Mothra:8, Tutone:9, Squares:10
|-
!Orgone Triad
|8:11:14
|P1 ^4 s7
|Is7sus(t4)$
|Joan:4, Orwell:8, Mothra:8, Tutone:9, Squares:10
|-
!Quartal
|9:12:16
|P1 P4 m7
|Iq
|Meantone:2, Mohajira:4, Mothra:6, Squares:8, Tritonic:10
|-
!Joan
|8:11:15
|P1 ^4 M7
|IJ
|Joan:2, Orwell:4, Tritonic:6, A-Team:8, Mohajira:10
|}
Note: $ used to represent shell voicing