List of 31edo chords
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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.
| 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 |
| 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 |
Notes: $ used to represent shell voicing, DR means Delta-rational.
Tetrads
These tetrads are split into a few general categories.
| Basic Tetrads | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| Major Seven | 8:10:12:15 | P1 M3 P5 M7 | IM7 | Meantone:5, Würschmidt:9, Mohajira:10 |
| Harmonic Seven | 4:5:6:7 | P1 M3 P5 s7 | Ih7 | Myna:10, Meantone:10, Orwell:11 |
| Minor Seven | 10:12:15:18 | P1 m3 P5 m7 | Im7 | Meantone:4, Mohajira:8 |
| Utonal Tetrad | 12/10/8/7 | P1 m3 P5 S6 | ImS6 | Myna:10, Meantone:10, Orwell:11 |
| Subminor Seven | 12:14:18:21 | P1 s3 P5 s7 | Is7 | Mothra:7, Orwell:8, Squares:9, Meantone:10 |
| Undecimal Tetrad | 6:7:9:11 | P1 s3 P5 n7 | Isn7 | Squares:6, Nusecond:11 |
| Supermajor Seven | 14:18:21:27 | P1 S3 P5 S7 | IS7 | Squares:5, Meantone:9, Mothra:10 |
| 9-over Tetrad | 9/7/6/5 | P1 S3 P5 m7 | ISm7 | Meantone:9, Nusecond:11 |
| Neutral Seven | 18:22:27:33 | P1 n3 P5 n7 | In7 | Mohajira:3, Squares:6, Miracle:9 |
| Other Basic Tetrads | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| Lynch Neutral | 12:18:22:33 | P1 P5 n7 ^11 | I5n7t11 | Mohajira:5, Squares:10 |
| Neutral Minor Seven | 27/22/18/15 | P1 n3 P5 m7 | Inm7 | Mohajira:6 |
| Neutral Major Tetrad | 27/22/18/16 | P1 n3 P5 M6 | InM6 | Mohajira:6 |
| Subminor Major Tetrad | 6:7:9:10 | P1 s3 P5 M6 | IsM6 | Meantone:9, Nusecond:11 |
| Dominant | 20:25:30:36 | P1 M3 P5 m7 | I7 | Meantone:6 |
| Mothwellsmic Dominant | 42/33/28/24 | P1 S3 P5 s7 | ISs7 | Orwell:8, Squares:10 |
| Subminor Supermajor Seven | 21/18/14/11 | P1 s3 P5 S7 | IsS7 | Squares:5, Würschmidt:10 |
| Augmented Seven | 16:20:25:28 | P1 M3 A5 s7 | Ih7(#5) | Tutone:5, Meantone:10 |
| Half Augmented | 16:20:25:30 | P1 M3 A5 M7 | IM7(#5) | Meantone:8, Würschmidt:9 |
| Fully Augmented | 64:80:100:125 | P1 M3 A5 A7 | I+7 | Würschmidt:3, Tutone:6, Orwell:9 |
| Half Diminished | 36/30/25/20 | P1 m3 d5 m7 | Im7(b5) | Meantone:6 |
| Fully Diminished | 21:25:30:36 | P1 m3 d5 d7 | Io7 | Myna:3, Nusecond:6, Meantone:9 |
| Harmonic Half Diminished | 5:6:7:9 | P1 m3 vd5 m7 | Im7(db5) | Meantone:9, Nusecond:11 |
| Harmonic Fully Diminished | 10:12:14:17 | P1 m3 vd5 d7 | Io7(db5) | Myna:5, Nusecond:10, A-Team:11 |
| Subminor Half Diminished | 7/6/5/4 | P1 s3 vd5 s7 | Is7(db5) | Myna:10, Meantone:10, Orwell:11 |
| Augmented 3&7 | 20:26:30:39 | P1 A3 P5 A7 | I(#3,#7) | Mothra:5, Miracle:10 |
| Diminished 3&7 | 26:30:39:45 | P1 d3 P5 d7 | I(bb3,bb7) | Mothra:4, Miracle:8 |
| Doubly Augmented Major Seven | 8:10:13:15 | P1 M3 AA5 M7 | IM7(x5) | Miracle:7, Mohajira:11 |
| Supermajor Seven Augmented | 14:18:22:27 | P1 S3 A5 S7 | IS7(#5) | Squares:4, Würschmidt:8 |
| Fifth-Contained Tetrads | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| Mu Chord | 8:9:10:12 | P1 M2 M3 P5 | I(add2) | Meantone:4, Mohajira:8 |
| Nu Chord | 12/10/9/8 | P1 m3 P4 P5 | Im(add4) | Meantone:4, Mohajira:8 |
| Subminor Tetrad | 6:7:8:9 | P1 s3 P4 P5 | Is(add4) | Mothra:7, Squares:9, Meantone:10 |
| Supermajor Tetrad | 9/8/7/6 | P1 M2 S3 P5 | IS(add2) | Mothra:7, Squares:9, Meantone:10 |
| Super Second Tetrad | 14:16:18:21 | P1 S2 S3 P5 | IS(add t2) | Mothra:7, Meantone:11 |
| Sub Fourth Tetrad | 21/18/16/14 | P1 s3 v4 P5 | Is(add d4) | Mothra:7, Meantone:11 |
| Sus 2/4 | 18:20:24:27 | P1 M2 P4 P5 | Isus(2/4) | Meantone:3, Mohajira:6, Mothra:9 |
| Add^4 | 8:10:11:12 | P1 M3 ^4 P5 | I(add t4) | Mohajira:8, Valentine:9, Orwell:10 |
| Minor Addv2 | 12/11/10/8 | P1 n2 m3 P5 | Im(add d2) | Mohajira:8, Valentine:9, Orwell:10 |
| Split Chords | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| Split Chord | 20:24:25:30 | P1 m3 M3 P5 | IMm3 | Meantone:7, Würschmidt:8, Valentine:9, Myna:10 |
| Septimal Split Chord | 28:33:36:42 | P1 s3 S3 P5 | ISs3 | Squares:6, Orwell:7, Nusecond:11 |
| Yellow/Blue Split Chord | 12:14:15:18 | P1 s3 M3 P5 | IMs3 | Meantone:9, Orwell:10 |
| Green/Red Split Chord | 18/15/14/12 | P1 m3 S3 P5 | ISm3 | Meantone:9, Orwell:10 |
| Wolf Split Chord | 21:25:27:32 | P1 m3 S3 ^5 | ISm3(t5) | Nusecond:7, Joan:8, Würschmidt:9 |
| Squares Split Chord | 22:27:28:36 | P1 n3 S3 A5 | ISn3(#5) | Squares:3, Würschmidt:6, Joan:9 |
| DR Split Chord | 24:28:30:35 | P1 s3 M3 v5 | IMs3(d5) | Orwell:4, A-Team:8 |
| Harmonic Subsets | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| h9 Shell | 4:5:7:9 | P1 M3 s7 M9 | Ih9$ | Tutone:5, Meantone:10 |
| Add11 Shell | 4:5:7:11 | P1 M3 s7 ^11 | Ih7t11$ | Tutone:9, Valentine:11, Tritonic:12 |
| Quintal Neutral | 4:6:9:11 | P1 P5 M9 ^11 | I59t11 | Mohajira:5, Squares:10 |
| Altered-13 Shell | 4:5:7:13 | P1 M3 s7 n13 | Ih7d13$ | Miracle:7 |
| Add-13 | 4:5:6:13 | P1 M3 P5 n13 | I(add d13) | Mohajira:9, Valentine:11 |
| Altered-17 Shell | 8:10:14:17 | P1 M3 s7 m9 | Ih7b9$ | Miracle:7 |
| Altered-19 Shell | 8:10:14:19 | P1 M3 s7 m10 | Ih7b10$ | Valentine:8, Myna:10 |
| Misc Tetrads | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| h7#9 Shell | 12:15:21:28 | P1 M3 s7 A9 | Ih7#9$ | Miracle:8, Meantone:10 |
| h7db9 Shell | 12:15:21:25 | P1 M3 s7 s9 | Ih7db9$ | Valentine:8, Meantone:10 |
| h7d9 Shell | 16:20:28:35 | P1 M3 s7 n9 | Ih7d9$ | Tutone:7, Valentine:8, Miracle:9, Orwell:11 |
| DRmaj | 24:27:30:35 | P1 M2 M3 v5 | I(add 2, d5) | A-Team:6 |
| DRmin | 42:49:64:72 | P1 s3 ^5 S6 | IsS6(t5) | A-Team:4, Mothra:8 |
| DRmindim | 66:77:96:112 | P1 s3 v5 S6 | IsS6(d5) | Orwell:3, A-Team:6, Myna:9 |
| DRsus | 48:54:63:70 | P1 M2 v4 v5 | Isus(2/d4)(d5) | A-Team:4, Mothra:8 |
| Leading DRsus2 | 19/17/13/10 | P1 M2 v5 S7 | IS7sus2(d5) | A-Team:5, Mothra:10 |
| Mothwellsmic Dominant #9 Shell | 14/11/8/6 | P1 S3 s7 A9 | ISs7#9$ | Orwell:8, Mothra:8, Squares:10 |
| Orgone add9 | 8:11:14:18 | P1 ^4 s7 M9 | Ih9sus(t4)$ | Joan:7, Tutone:9, Squares:10 |
| Greeley Over-3 | 6:7:10:11:(13) | P1 s3 M6 n7 (n9) | IsM6n7$ | Nusecond:6(7) |
| Other Linear Tetrads | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| Slendric Tetrad | 42:48:55:63 | P1 S2 v4 P5 | Isus(t2/d4) | Mothra:3, Miracle:6, Valentine:9 |
| Miracle Cluster | 13:14:15:16 | P1 m2 S2 n3 | I(13:14:15:16) | Miracle:3, Joan:6, Slender:9 |
| Orwell Tetrad | 48:56:66:77 | P1 s3 ^4 m6 | IO | Orwell:3, A-Team:6, Myna:9 |
Pentads
| Main Ninth Chords | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| Major Nine | 8:10:12:15:18 | P1 M3 P5 M7 M9 | IM9 | Meantone:5, Mohajira:10 |
| Harmonic Nine | 4:5:6:7:9 | P1 M3 P5 s7 M9 | Ih9 | Meantone:10 |
| Minor Nine | 18/15/12/10/8 | P1 m3 P5 m7 M9 | Im9 | Meantone:5, Mohajira:10 |
| Subminor Nine | 12:14:18:21:27 | P1 s3 P5 s7 M9 | Is9 | Squares:9, Meantone:10, Mothra:10 |
| Supermajor Nine | 27/21/18/14/12 | P1 S3 P5 S7 M9 | IS9 | Squares:9, Meantone:10, Mothra:10 |
| 9-over Pentad | 9/7/6/5/4 | P1 S3 P5 m7 M9 | IS9b7 | Meantone:10 |
| Neutral Pentad | 36:44:54:66:81 | P1 n3 P5 n7 M9 | In9 | Mohajira:4, Squares:8, Miracle:12 |
| Other Main Pentads | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| Major 6/9 | 12:15:18:20:27 | P1 M3 P5 M6 M9 | I6/9 | Meantone:4, Mohajira:8, Slendric:12 |
| Minor 7/11 | 10:12:15:18:27 | P1 m3 P5 m7 P11 | Im7/11 | Meantone:4, Mohajira:8, Slendric:12 |
| Dominant Nine | 20:25:30:36:45 | P1 M3 P5 m7 M9 | I9 | Meantone:6, Mohajira:12 |
| Tridecimal Pentad | 6:7:9:11:13 | P1 s3 P5 n7 n9 | Isn7d9 | Squares:12 |
| Subminor 6/9 | 12:14:18:20:27 | P1 s3 P5 M6 M9 | IsM6/9 | Meantone:9 |
| Subminor 7/11 | 24:28:36:42:63 | P1 s3 P5 s7 v11 | Is7d11 | Mothra:7, Meantone:11 |
| Sub Neutral 11 | 12:14:18:22:33 | P1 s3 P5 n7 ^11 | Isn7t11 | Squares:10, Nusecond:12 |
| Fully Augmented #9 | 64:80:100:125:150 | P1 M3 A5 A7 A9 | I+7#9 | Orwell:10, Würschmidt:10 |
| Altered Pentads | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| Harmonic #9 | 12:15:18:21:28 | P1 M3 P5 s7 A9 | Ih7#9 | Meantone:10 |
| Harmonic db9 | 12:15:18:21:25 | P1 M3 P5 s7 s9 | Ih7db9 | Meantone:10, Myna:10 |
| Altered-13 | 4:5:6:7:13 | P1 M3 P5 s7 n13 | Ih7d13 | Miracle:13, Valentine:14 |
| Altered-13 #9 Shell | 12:15:21:28:39 | P1 M3 s7 A9 n13 | Ih7#9d13$ | Miracle:8 |
| Split Pentads | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| Sub Seventh Split | 12:14:15:18:21 | P1 s3 M3 P5 s7 | IMs3s7 | Meantone:10, Orwell:11 |
| Major Seventh Split | 24:28:30:36:45 | P1 s3 M3 P5 M7 | IMs3M7 | Meantone:9, Orwell:10, Würschmidt:10 |
| Major Sixth Split | 12:14:15:18:20 | P1 s3 M3 P5 M6 | IMs3M6 | Meantone:9, Nusecond:13 |
| Minor Seventh Split | 18/15/14/12/10 | P1 m3 S3 P5 m7 | ISm3m7 | Meantone:9, Nusecond:13 |
| Super Seventh Split | 54/45/42/36/28 | P1 m3 S3 P5 S7 | ISm3S7 | Meantone:9, Würschmidt:10 |
| Super Sixth Split | 36/30/28/24/21 | P1 m3 S3 P5 S6 | ISm3S6 | Meantone:10, Orwell:11 |
| Harmonic Pentads | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| Orwell Harmonic | 4:5:6:7:11 | P1 M3 P5 s7 ^11 | Ih7t11 | Orwell:11, Valentine:12 |
| Mohajira Harmonic | 4:5:6:9:11 | P1 M3 P5 M9 ^11 | Ih11(no7) | Mohajira:8 |
| Tutone Harmonic | 4:5:7:9:11 | P1 M3 s7 M9 ^11 | Ih11$ | Tutone:9 |
| Squares Harmonic | 4:6:7:9:11 | P1 P5 s7 M9 ^11 | Ih11(no3) | Squares:10 |
| Over-5 Harmonic | 5:6:7:9:11 | P1 m3 vb5 m7 n9 | Im7d9(db5) | Squares:12 |
| Miracle Harmonic | 4:5:7:13:17 | P1 M3 s7 n13 m16 | Ih7d13b16$ | Miracle:8 |
| A-Team Harmonic | 4:5:13:17:19 | P1 M3 n13 m16 m17 | IMd13b16b17$ | A-Team:11 |
| Joan Sharp Harmonic | 4:7:13:17:19 | P1 s7 n13 m16 m17 | I5s7d13b16b17$ | Joan:8 |
| Joan Flat Harmonic | 4:7:9:11:15 | P1 s7 M9 ^11 M14 | I59s7t11M14$ | Joan:7 |
| Greeley Harmonic | 6:7:10:11:13 | P1 s3 M6 n7 n9 | IsM6n7d9$ | Nusecond:7 |
| Other Linear Pentads | Otonal/Utonal Representation | Notes | Notation | Complexity in Temperaments |
|---|---|---|---|---|
| Slendric Pentad | 42:48:55:63:72 | P1 S2 v4 P5 S6 | IS6sus(t2,d4) | Mothra:4, Miracle:8, Valentine:12 |
| Miracle Cluster | 13:14:15:16:17 | P1 m2 S2 n3 v4 | I(13:14:15:16:17) | Miracle:4, Joan:8, Slender:12 |
| Orwell Pentad | 48:56:66:77:90 | P1 s3 ^4 m6 M7 | IOM7 | Orwell:4, A-Team:8, Myna:12 |
Other Extended Chords
| Otonal/Utonal Representation | Notes | Notation | Explanation | |
|---|---|---|---|---|
| Undecimal Hexad | 4:5:6:7:9:11 | P1 M3 P5 s7 M9 ^11 | Ih11 | The holy grail chord, a rich complex sound made up of the main harmonics in 31, nothing much more to say. |
| Novemdecimal Hexad | 4:5:7:13:17:19 | P1 M3 s7 n13 m16 m17 | Ih7d13b16b17$ | All the sharp harmonics on a basic harmonic shell, works decently due to the extreme accuracy of the 13:17:19. |
| ? | 6:7:9:11:15:20 | P1 s3 P5 n7 M10 M13 | Isn7(10,13) | Standard undecimal triad but with some quartal flavor in the tensions, adds a good unique sound that can be sort of hard to add with this tetrad. |
| ? | 8:10:12:15:22:33 | P1 M3 P5 M7 ^11 ^15 | Imaj7t11t15 | Zhea Erose Chord, can also be used with a harmonic seventh to avoid the subfifth dissonance. |
| Rast Minor Parent Chord | 10:12:15:18:22:27:33 | P1 m3 P5 m7 n9 P11 n13 | Im7/11n9n13 | Subset chords excluding one of the tensions may be preferable to avoid chains of neutral thirds. |
| Graham Hexad | 12:15:18:21:28:33 | P1 M3 P5 s7 A9 ^11 | Ih11#9 | The whole thing works as a chord but just using subsets works well too, the shell voicing is often a better choice. |
| ? | 48/40/32/28/21/18 | P1 m3 P5 S6 S9 P11 | ImS69add11 | Analog of a minor 69 type chord. Shows why utonal chords don’t always work well with tensions , with high complexity for a simple base tetrad. |
| ? | 16:20:24:28:42:63 | P1 M3 P5 s7 v11 v15 | Ih7d11d15 | Subminor ninth and suboctave add dissonance, but strong fifths between 7, 11, and 15 add structure that allows the chord to function. |
| ? | 32:40:56:75:100:125 | P1 M3 s7 A9 s13 v15 | Ih7#9db13d15$ | Extension of a standard jazz chord, with the 3:4:5 on top providing stability to balance the suboctave dissonance. |
| ? | 48:60:75:90:112:140 | P1 M3 A5 M7 A9 x11 | Imaj7+(#9,x11) | An interesting chord, pretty much as many major thirds as you can have without any augmented sevenths. |
| Mothra[6] 5 Parent Chord | 84:98:128:147:192:224 | P1 s3 ^5 s7 S9 P11 | Is7/11t9(t5) | Subsets work well too, emphasizes the mothra sound through the superfifths and subfourths present. |