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Intervals

Degrees Enneatonic Pentadecatonic Enneadecatonic ed43\36 Pyritev ed35\29 ed29\24=r¢v ed17\14 ed11\9~ed7/3 Golden ed16\13 ed21\17 ed5\4=r¢^
1 1+ G+ G' Qq Q+ 21.0784 21.144 21.2982 21.3235 21.4286 21.5686

21.5716

21.6743 21.7195 21.7993 22.0588
Jv, Av, Jbv, Abv, W\\v Wbv
2 1# G# G^ Qp/W\\\ Q#/Wb 42.1569 42.2881 42.59635 42.6471 42.8571 43.13725

43.1433

43.3485 43.4389 43.5986 44.11765
Jv Av Jbv Abv
3 1#+ G#+ G^' Qpq Q#+ 63.2353 63.4321 63.8945 63.9706 64.2857 64.7059

64.7149

65.1228 65.1584 65.3979 66.1765
J, A, Jb, Ab, W\ Wd
4 1x/2bb Gx J A Jb Ab W 84.3137 84.5761 85.1927 85.2941 85.7143 86.2745

86.2865

86.697 86.8778 87.1972 88.2353
Jbb Abb
5 2bv Jbv Abv J'/A\\v, A'/B\\v, Jb' Ab' Wq W+ W+/Ebd 105.3922 105.7202 106.4909 106.61765 107.1429 107.8431

107.8582

108.3713 108.5973 108.9965 110.2941
G#v,
6 2b Jb Ab J^/A\\v A^/B\\v Jb^ Ab^ Wp W# W#/Eb 126.4706 126.8642 127.78905 127.9412 128.5714 129.4118

129.4298

130.0456 130.3167 130.79585 132.3529
G#v
7 2d Jd Ad J^'/A\\, A^'/B\\, Jb^' Ab^' Wpq/E\\\ W#+/E(b)d 147.549 148.0082 149.0872 149.2647 150 150.9804

151.0014

151.7198 152.0362 152.5952 154.4118
G#,
8 2 J A A\\ B\\ G# E\\ Eb E 168.62745 169.1523 170.3854 170.5882 171.4286 172.549

172.57305

173.3941 173.7557 174.3945 176.4706
9 2+ J+ A+ A\\'\/Jpv, B\\'/Apv, G#' E\ Ed E+/Rd 189.7059 190.2963 191.6836 191.9118 192.8571 194.11765

194.1447

195.0683 195.4751 196.1938 198.5294
Jv, Av,
10 2# J# A# A\\^/Jpv B\\^/Apv G#^ E R 210.7843 211.44035 212.9817 213.2353 214.2857 215.6863

215.7163

216.7426 217.1946 217.9931 220.5882
Jv Av
11 2#+ J#+ A#+ Jp, Ap, G#^' Epq/R\\\ E+/Rbd R+/Tbd 231.86275 232.5844 234.2799 234.5888 235.7143 237.2549

237.2879

238.4169 238.914 239.7924 242.6471
J, A,
12 2x/3bb Jx/Abb Ax/Bbb Jp Ap J A Ep/R\\ E#/Rb R#/Tb 252.9412 253.7284 255.5781 255.88235 257.1429 258.8235

258.8596

160.0911 260.6335 261.5917 264.7059
13 3bd Abd Bbd Jp'/Av, Ap^/Bv J'/A, A'/Bv, Epq/R\ E#+/Rd R#+/Td 274.0196 274.87245 276.8763 277.2059 278.5714 280.3922

280.4312

281.7654 282.3529 283.391 286.7647
14 3b Ab Bb Jp^/Av Ap^/Bv J^/Av A^/Bv R T 295.098 296.0165 298.1744 298.5294 300 301.9608

302.0028

303.4396 304.0721 305.1903 308.8235
15 3d Ad Bd Jp^'/A, Ap^'/B, J^'/A, A^'/Bv, Rq/T\\\ R+/Tbd T+/Ybd 316.1765 317.1605 319.4726 319.8529 321.4286 323.5294

323.5745

325.1139 325.7919 326.9896 330.88235
16 3 A B A B A B Rp/T\\ R#/Tb T#/Yb 337.2549 338.30455 340.7708 341.1765 342.8571 345.098

345.1461

346.7882 347.5113 348.7889 352.9412
17 3+ A+ B+ A'/Bv, B'/Cv, A'/Bbv, B^'/Cbv, Rpq/T\ R+/Tbd T#+/Yd 358.3333 359.4486 362.069 362.5 364.2857 366.6667

366.7177

368.4624 369.2308 370.5882 375
18 3# A# B# A^/Bv B^/Cv A^/Bbv B^/Cbv T Y 379.4118 380.5926 383.3671 383.8235 385.7143 388.2353

388.2894

390.1367 390.9502 392.3875 397.0588
19 3#+ A#+ B#+ A^'/B, B^'/Cv, A^'/Bb, B^'/Cbv, Tq\A\\\ T#+/Ad Y+/Ubd 400.4902 401.7367 404.6653 405.1471 407.1429 409.8039

409.861

411.8109 412.6697 414.18685 419.11765
3x/4b Ax/Bbb Bx/Cbb B C Bb Cb Tp\A\\ T#/Ab Y#/Ub 421.5686 422.8807 425.9635 426.4706 428.5714 431.37255

431.4326

433.4852 434.3891 435.9862 441.1765
4b Bb Cb B^/C\\v C^/Q\\v Bb^/A#v Cb^/B#v A U 463.7255 465.1688 468.5598 469.11765 471.4286 474.5098

474.5759

476.8337 477.82805 479.5848 485.2941
4 B C C\\ Q\\ A# B# Ap A# U#/Ab 506.88235 507.4568 511.1562 511.7647 514.2857 517.6471

517.7191

520.1822 521.267 523.1834 529.4118
4# B# C# C\\^/Bpv Q\\^/Cpv A#^/Bv B#^/Cv S\\ Sb A 548.0392 549.7449 553.7525 554.0588 557.1426 560.7843

560.8624

563.5308 564.7059 566.782 573.5294
5b Cb Qb Bp Cp B C S 590.1961 592.033 596.3489 597.0588 600 603.9216

604.0057

606.8793 608.1448 610.3806 617.6471
5 C Q Bp^/Cv Cp^/Qv B^/Cv C^/Qv Sp/D\\ S#/Db S#/Db 632.3529 634.321 638.9452 639.7059 642.8571 647.0588

647.1489

650.2278 651.5837 653.9792 661.7647
5# C# Q# C Q C Q D 674.5098 676.6091 681.5416 682.3529 685.7143 590.1961

690.2922

693.5763 695.0226 697.57786 705.88235
5x/6bb Cx/Qbb Qx/Dbb C^/Qv Q^/Dv C^/Qbv Q^/Dbv Dp/F\\ D#/Fb D#/Fb 716.6667 718.8972 724.1379 725 728.5714 733.3333

733.43545

736.9248 738.4615 741.1765 750
6b Qb Db Q D Qb Db F 758.8235 761.1852 766.7343 767.6471 771.4286 776.4706

776.5787

780.2734 781.9005 784.7751 794.11765
6 Q D Q^/D\\v D^/E\\v Qb^/C#v Db^/Q#v Fp/G\\ F#/Gb F#/Gb 800.9804 803.4733 809.3306 810.2941 814.2857 819.6078

819.722

823.6219 825.3394 828.3737 838.2353
20 6# Q# D# D\\ E\\ C# Q# G 843.13725 845.7614 851.927 852.9412 857.1429 862.7451

862.8982

866.9704 868.7783 871.9723 882.3529
21 6x/7bb Qx/Dbb Dx/Sbb D\\^/Qpv E\\^/Dpv C#^/Qv Q#^/Dv Gp G# H 885.2941 888.04945 894.5233 895.5882 900 905.88235

906.0085

910.3189 912.2172 915.5709 926.4706
22 7b Db Sb Qp Dp Q D Z\\ Zb H# 927.451 930.3375 937.1197 938.2353 942.8571 949.0196

949.1518

953.6674 955.6561 959.16955 970.5882
23 7 D S Qp^/Dv Dp^/Ev Q^/Dv D^/Sv Z Jb 969.6078 972.6526 979.716 980.88235 985.7143 992.1569

922.295

997.016 999.095 1002.7682 1014.7059
24 7# D# S# D E D S Zp/X\\ Z#/Xb J 1011.7647 1014.9137 1022.3124 1023.5294 1028.5714 1035.2941

1035.4383

1040.3645 1042.5339 1046.3668 1058.8235
25 7x/8bb Dx/Ebb Sx/Ebb D^/Ev E^/Sv D^ S^ X J#/Zb 1053.9216 1057.2017 1064.9087 1066.1765 1071.4286 1078.4314

1078.58155

1083.713 1085.97285 1089.9654 1102.9412
Ebv
26 8b Eb E S Eb Xp/C\\ X#/Cb Z 1096.0784 1099.4898 1107.5051 1108.8235 1114.2857 1121.5686

1121.7248

1127.0615 1129.4118 1133.564 1147.0588
27 8 E E^ S^ Eb^ C X 1138.2353 1141.7779 1150.1014 1153.4706 1157.1426 1164.7059

1164.8681

1170.41 1172.8507 1177.1626 1191.1765
Fv D#v S#v
28 8# E# F D# S# Cp/V\\ C#/Vb X#/Cb 1180.3922 1154.0659 1192.6978 1194.11765 1200 1207.8731

1208.0113

1213.7586 1216.2896 1220.76125 1235.2941
29 8x/9bb Ex/Fbb F^/G\\v D#v S#v V C 1222.549 1226.354 1235.2941 1236.7647 1242.8571 1250.9804

1251.1546

1257.1071 1259.7285 1264.3599 1279.4118
Eb
30 9b Fb G\\ E Vp V# V 1264.7059 1265.6421 1277.8905 1279.4118 1285.7143 1294.11765

1294.2979

1300.4556 1303.1674 1307.9585 1323.5294
31 9 F G\\^Fpv E^/Fv B// Bb V#/Bb 1306.86275 1310.9301 1320.4868 1322.0588 1328.5714 1337.2549

1337.4411

1343.8041 1346.6606 1307.9585 1367.5471
32 9# F# Fp F B 1349.0196 1353.2182 1393.0832 1364.7059 1371.4286 1380.3922

1380.5844

1387.1526 1390.04525 1351.5571 1411.7647
33 1# G# Fp^ F^ Bp/Q\\ B#/Qb 1391.1765 1395.5063 1405.6795 1407.3529 1414.2857 1423.5297

1423.7276

1430.5012 1433.4842 1395.1557 1455.88235
Gv
34 1 G Q 1433.3333 1437.79435 1448.2759 1450 1457.1429 1466.6617

1466.8709

1473.8497 1476.9231 1482.3529 1500