List of 31edo chords: Difference between revisions

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Revision as of 16:56, 19 February 2024

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.

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 Io 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
Example Scales
Other Triads Otonal/Utonal Representation Notes Notation Complexity in Temperaments
Double Diminished 7:8:10 P1 d3 d5 Io(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