Low Complexity Intervals

I wanted some simple intervals to test a microtonal score writing program. These ones only differ from 5-limit natural intervals by one or two commas, I think. They're 23-limit commas, but still.

Here is the full set of interval qualities: [P, M, m, A, d, Ac, Gr, AcM, Grm, Sp, Sb, SpM, Sbm, SpA, Sbd, As, De, Asm, DeM, AsGrm, DeAcM, Pr, Re, Prm, ReM, Ex, Hu, ExM, Hbm, Rs, Fa, Fam, RsM, Nb, NbM, Dsm, ReAsM, PrDem, RsAsM, FaDem. RsSbM, FaSpm, SbAcm, SpGrM].

Here are the intervals.

P1 # 1/1 @ 0c

SpA0 # 225/224 @ 8c

Rs1 # 96/95 @ 18c

Ac1 # 81/80 @ 22c

Pr1 # 65/64 @ 27c

Ex1 # 51/50 @ 34c

Nb1 # 46/45 @ 38c

d2 # 128/125 @ 41c

Sp1 # 36/35 @ 49c

As1 # 33/32 @ 53c

Sbm2 # 28/27 @ 63c

A1 # 25/24 @ 71c

Dsm2 # 24/23 @ 74c

Hbm2 # 160/153 @ 77c

SbAcm2 # 21/20 @ 84c

PrDem2 # 104/99 @ 85c

Grm2 # 256/243 @ 90c

Fam2 # 19/18 @ 94c

m2 # 16/15 @ 112c

SpA1 # 15/14 @ 119c

Prm2 # 13/12 @ 139c

FaSpm2 # 38/35 @ 142c

AsGrm2 # 88/81 @ 143c

DeAcM2 # 12/11 @ 151c

ReM2 # 128/117 @ 156c

Asm2 # 11/10 @ 165c

M2 # 10/9 @ 182c

Sbd3 # 28/25 @ 196c

RsM2 # 64/57 @ 201c

AcM2 # 9/8 @ 204c

ReAsM2 # 44/39 @ 209c

ExM2 # 17/15 @ 217c

NbM2 # 92/81 @ 220c

SpM2 # 8/7 @ 231c

d3 # 144/125 @ 245c

A2 # 125/108 @ 253c

RsAsM2 # 22/19 @ 254c

Sbm3 # 7/6 @ 267c

Dsm3 # 27/23 @ 278c

Hbm3 # 20/17 @ 281c

SbAcm3 # 189/160 @ 288c

PrDem3 # 13/11 @ 289c

Grm3 # 32/27 @ 294c

Fam3 # 19/16 @ 298c

SpA2 # 25/21 @ 302c

m3 # 6/5 @ 316c

DeM3 # 40/33 @ 333c

Prm3 # 39/32 @ 342c

FaSpm3 # 171/140 @ 346c

AsGrm3 # 11/9 @ 347c

DeAcM3 # 27/22 @ 355c

ReM3 # 16/13 @ 359c

Asm3 # 99/80 @ 369c

Sbd4 # 56/45 @ 379c

M3 # 5/4 @ 386c

RsM3 # 24/19 @ 404c

AcM3 # 81/64 @ 408c

ReAsM3 # 33/26 @ 413c

SpGrM3 # 80/63 @ 414c

ExM3 # 51/40 @ 421c

NbM3 # 23/18 @ 424c

d4 # 32/25 @ 427c

SpM3 # 9/7 @ 435c

De4 # 128/99 @ 445c

Sb4 # 35/27 @ 449c

A3 # 125/96 @ 457c

RsAsM3 # 99/76 @ 458c

Re4 # 256/195 @ 471c

Fa4 # 95/72 @ 480c

P4 # 4/3 @ 498c

SpA3 # 75/56 @ 506c

Rs4 # 128/95 @ 516c

Ac4 # 27/20 @ 520c

Pr4 # 65/48 @ 525c

Ex4 # 34/25 @ 532c

Nb4 # 184/135 @ 536c

Sp4 # 48/35 @ 547c

As4 # 11/8 @ 551c

A4 # 25/18 @ 569c

Sbd5 # 7/5 @ 583c

SpA4 # 10/7 @ 617c

d5 # 36/25 @ 631c

De5 # 16/11 @ 649c

Sb5 # 35/24 @ 653c

Re5 # 96/65 @ 675c

Gr5 # 40/27 @ 680c

Fa5 # 95/64 @ 684c

Sbd6 # 112/75 @ 694c

P5 # 3/2 @ 702c

Rs5 # 144/95 @ 720c

Ac5 # 243/160 @ 723c

Pr5 # 195/128 @ 729c

Ex5 # 153/100 @ 736c

Nb5 # 23/15 @ 740c

d6 # 192/125 @ 743c

Sp5 # 54/35 @ 751c

As5 # 99/64 @ 755c

Sbm6 # 14/9 @ 765c

A5 # 25/16 @ 773c

Dsm6 # 36/23 @ 776c

Hbm6 # 80/51 @ 779c

SbAcm6 # 63/40 @ 786c

PrDem6 # 52/33 @ 787c

Grm6 # 128/81 @ 792c

Fam6 # 19/12 @ 796c

m6 # 8/5 @ 814c

SpA5 # 45/28 @ 821c

DeM6 # 160/99 @ 831c

Prm6 # 13/8 @ 841c

FaSpm6 # 57/35 @ 844c

AsGrm6 # 44/27 @ 845c

DeAcM6 # 18/11 @ 853c

ReM6 # 64/39 @ 858c

Asm6 # 33/20 @ 867c

M6 # 5/3 @ 884c

Sbd7 # 42/25 @ 898c

RsM6 # 32/19 @ 902c

AcM6 # 27/16 @ 906c

ReAsM6 # 22/13 @ 911c

ExM6 # 17/10 @ 919c

NbM6 # 46/27 @ 922c

SpM6 # 12/7 @ 933c

d7 # 216/125 @ 947c

A6 # 125/72 @ 955c

RsAsM6 # 33/19 @ 956c

Sbm7 # 7/4 @ 969c

Dsm7 # 81/46 @ 980c

Hbm7 # 30/17 @ 983c

PrDem7 # 39/22 @ 991c

Grm7 # 16/9 @ 996c

Fam7 # 57/32 @ 999c

SpA6 # 25/14 @ 1004c

m7 # 9/5 @ 1018c

DeM7 # 20/11 @ 1035c

Prm7 # 117/64 @ 1044c

AsGrm7 # 11/6 @ 1049c

DeAcM7 # 81/44 @ 1057c

ReM7 # 24/13 @ 1061c

Sbd8 # 28/15 @ 1081c

M7 # 15/8 @ 1088c

RsM7 # 36/19 @ 1106c

AcM7 # 243/128 @ 1110c

ReAsM7 # 99/52 @ 1115c

SpGrM7 # 40/21 @ 1116c

ExM7 # 153/80 @ 1123c

NbM7 # 23/12 @ 1126c

d8 # 48/25 @ 1129c

SpM7 # 27/14 @ 1137c

De8 # 64/33 @ 1147c

Sb8 # 35/18 @ 1151c

A7 # 125/64 @ 1159c

Re8 # 128/65 @ 1173c

Gr8 # 160/81 @ 1178c

Fa8 # 95/48 @ 1182c

P8 # 2/1 @ 1200c

Nice.

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