68ed7/3

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Intervals

Degrees Enneatonic Pentadecatonic Enneadecatonic ed43\36 Pyritev ed35\29 ed29\24=r¢v ed17\14 18ed5/4~Goldenv 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 21.4617

21.4684

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 42.92375

42.9368

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 64.3856

64.4052

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 85.8475

85.8736

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 107.3094

107.342

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 128.7712

128.8104

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 150 150.2331

150.2788

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 171.695

171.7472

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 193.1569

193.21555

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 214.6187

214.68395

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 236.0806

236.1523

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 257.5425

257.6207

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 279.00435

279.0891

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 300 300.4662

300.5575

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 321.9281

322.0259

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 343.39

343.4943

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 364.8518

364.9627

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 386.3137

386.4311

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 407.7756

407.8995

409.8039

409.861

411.8109 412.6697 414.18685 419.11765
20 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 429.2375

429.3679

431.37255

431.4326

433.4852 434.3891 435.9862 441.1765
21 4bd Bbd Cbd B^'C\\v, C'/Q\\v, Bb'/A#v, Cb'/B#v, Tpq\A\ T#+/Ad Y#+/Ud 442.6471 444.0247 447.2617 447.7941 450 450.6993

450.8363

452.9412

453.00425

455.1595 456.1086 457.7855 463.2353
22 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 472.1612

472.3047

474.5098

474.5759

476.8337 477.82805 479.5848 485.2941
23 4d B Cd B^'/C\\v, C^'/Q\\, Bb^'/A#, Cb^'/B#, Apq A+ U+/Abd 484.8039 486.3263 489.858 490.4412 492.8571 493.6231

493.7731

496.0784

496.1475

498.508 499.5475 501.3841 507.3529
24 4 B C C\\ Q\\ A# B# Ap A# U#/Ab 505.88235 507.4568 511.1562 511.7647 514.2857 515.08465

515.2415

517.6471

517.7191

520.1822 521.267 523.1834 529.4118
25 4+ B+ C+ C\\'/Bpv, Q\\'/Cpv, A#'/Bv, B#'/Cv, Apq/S\\\ A#+/Sbd U#+/Ad 526.9608 528.6009 532.4544 533.0882 535.7143 536.5468

536.7099

539.2157

539.2908

541.3565 542.9864 544.9827 551.4706
26 4# B# C# C\\^/Bpv Q\\^/Cpv A#^/Bv B#^/Cv S\\ Sb A 548.0392 549.7449 553.7525 554.0588 557.1429 515.08465

515.2415

560.7843

560.8624

563.5308 564.7059 566.782 573.5294
27 4#+/5bd B#+/Cbd C#/Dbd C\\^'/Bp, Q\\^'/Cpv, A#^'/B, B#^'/C, S\ Sd A+/Sd 569.11765 570.8889 575.0507 576.7353 578.5714 579.4703

579.6467

582.3529

582.434

585.205 586.4253 588.5813 595.5882
28 5b Cb Qb Bp Cp B C S 590.1961 592.033 596.3489 597.0588 600 600.9324

601.16505

603.9216

604.0057

606.8793 608.1448 610.3806 617.6471
29 5d Cd Qd Bp'/Cv, Cp'/Qv, B'/Cv, C'/Qv, Sq/D\\\ S+/Dbd 611.2745 613.177 617.6471 618.38235 621.4286 622.3943

622.58345

625.4902

625.5773

628.5535 629.86425 632.1799 639.7059
30 5 C Q Bp^/Cv Cp^/Qv B^/Cv C^/Qv Sp/D\\ S#/Db 632.3529 634.321 638.9452 639.7059 642.8571 643.8562

644.0518

647.0588

647.1489

650.2278 651.5837 653.9792 661.7647
31 5+ C+ Q+ Bp^'/C, Cp^/'Q, B^'/C, C^'/Q, Spq/D\ S#+/Dbd 653.4314 655.4651 660.2434 661.0294 664.2857 665.3181

665.5203

668.62745

668.7206

671.9021 673.3032 675.77855 683.8235
32 5# C# Q# C Q C Q D 674.5098 676.6091 681.5416 682.3529 685.7143 686.7799

686.9886

590.1961

690.2922

693.5763 695.0226 697.57786 705.88235
33 5#+ C#+ Q#+ C'/Qv, Q'/Dv, C'/Qbv, Q'/Dbv, Dq/F\\\ D+/Fbd 695.5882 697.7531 702.8398 703.6765 707.1429 708.2418

708.457

711.7647

711.8638

715.2506 716.7421 719.3772 727.9412
34 5x/6bb Cx/Qbb Qx/Dbb C^/Qv Q^/Dv C^/Qbv Q^/Dbv Dp/F\\ D#/Fb 716.6667 718.8972 724.1379 725 728.5714 729.7037

729.9254

733.3333

733.43545

736.9248 738.4615 741.1765 750
35 6bd Qbd Dbd C^/Qv Q^/Dv C^/Qbv Q^/Dbv Dp/F\\ D#/Fb 737.745 740.0412 754.4361 746.3235 750 751.16555

751.3938

754.902

755.0071

758.5991 760.181 762.9758 772.0588
36 6b Qb Db Q D Qb Db F 758.8235 761.1852 766.7343 767.6471 771.4286 772.6274

772.8622

776.4706

776.5787

780.2734 781.9005 784.7751 794.11765
37 6d Qd Dd Q'/D\\v, D'/E\\v, Qb'/C#v, Db'/Q#v, Fq/G\\\ F+/Gbd 779.902 782.3293 788.03245 788.9706 792.8571 794.0893

794.3306

798.0392

798.15035

801.9476 803.6199 806.5744 816.1765
38 6 Q D Q^/D\\v D^/E\\v Qb^/C#v Db^/Q#v Fp/G\\ F#/Gb 800.9804 803.4733 809.3306 810.2941 814.2857 815.5512

815.799

819.6078

819.722

823.6219 825.3394 828.3737 838.2353
39 6+ Q+ D+ Q^'/D\\, D^'/E\\, Qb^'/C#, Db^'/Q#, Fpq/G\ F+/Gd 822.0588 824.61735 830.6288 831.61765 835.7143 837.01305

837.2674

841.1765

841.2936

845.2961 847.0588 850.173 860.2941
40 6# Q# D# D\\ E\\ C# Q# G 843.13725 845.7614 851.927 852.9412 857.1429 858.4749

858.7358

862.7451

862.8982

866.9704 868.7783 871.9723 882.3529
41 6#+ Q#+ D#+ D\\'/Qpv, E\\'/Dpv, C#'/Qv, Q#'/Dv, Gq G+ G+\Hd 864.2157 866.9054 873.22515 874.2647 878.5714 879.9368

880.2042

884.3137

884.4369

888.6447 890.4977 893.7716 914.4118
42 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 900 901.3987

901.6726

905.88235

906.0085

910.3189 912.2172 915.5709 926.4706
43 7bd Dbd Sbd D\\^'/Qp, E\\^'/Dp, C#^'/Qv, Q#^'/Dv, Gpq/Z\\\ G#+/Zbd Hd 906.37255 909.1935 915.8215 916.9118 921.4286 922.8605

923.141

927.451

927.5801

931.9932 933.93665 937.3702. 948.5294
44 7b Db Sb Qp Dp Q D Z\\ Zb H# 927.451 930.3375 937.1197 938.2353 942.8571 944.3224

944.6094

949.0196

949.1518

953.6674 955.6561 959.16955 970.5882
45 7d Dd Sd Qp'/Dv, Dp'/Ev, Q'/Dv, D'/Sv, Z\ Zd H#+/Jbd 948.5294 951.4816 958.41785 959.5588. 964.2857 965.7843

966.0778

970.5882

970.7234

975.3417 977.3756 980.9689 992.6471
46 7 D S Qp^/Dv Dp^/Ev Q^/Dv D^/Sv Z Jb 969.6078 972.6526 979.716 980.88235 985.7143 987.2462

987.54615

992.1569

922.295

997.016 999.095 1002.7682 1014.7059
47 7+ D+ S+ Qp^'/D, Dp^'/E, Q^'/D, D^'/S, Zq/X\\\ Z+/Xbd Jd 990.6863. 993.7696 1001.0142 1002.2059 1007.1429 1008.708

1009.01455

1013.7255

1013.8667

1018.9602 1020.8145 1024.5675 1036.7647
48 7# D# S# D E D S Zp/X\\ Z#/Xb J 1011.7647 1014.9137 1022.3124 1023.5294 1028.5714 1030.1699

1030.4829

1035.2941

1035.4383

1040.3645 1042.5339 1046.3668 1058.8235
49 7#+ D#+ S#+ D'/Ev, E'/Sv, D' S' Zpq/X\ Z#+/Xd J+/Zbd 1032.8431 1036.0577 1043.61055 1044.8529 1050 1051.6318

1051.9514

1056.86275

1057.0099

1062.0387 1064.2534 1068.1661 1070.82235
Ebv,
50 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 1073.09365

1073.4197

1078.4314

1078.58155

1083.713 1085.97285 1089.9654 1102.9412
Ebv
51 8bd Ebd D^'/E, E^'/Sv, D^' S^' Xq/C\\\ X+/Cbd J#+/Zd 1075 1078.3458 1086.2069 1087.5 1092.8571 1094.5555

1094.8881

1100

1100.1532

1105.3873 1107.6923 1111.7947 1125
Eb,
52 8b Eb E S Eb Xp/C\\ X#/Cb Z 1096.0784 1099.4898 1107.5051 1108.8235 1114.2857 1116.0174

1116.3565

1121.5686

1121.7248

1127.0615 1129.4118 1133.564 1147.0588
53 8d Ed E' S' Eb' Xpq/C\ X#+/Cbd Z+/Xd 1117.1569 1120.6338 1128.80325 1130.1471 1135.7143 1137.4793

1137.8249

1143.13725

1143.2964

1148.7358 1151.1312 1155.3633 1169.11765
Fv, D#v, S#v,
54 8 E E^ S^ Eb^ C X 1138.2353 1141.7779 1150.1014 1151.4706 1157.1429 1158.9411

1159.2933

1164.7059

1164.8681

1170.41 1172.8507 1177.1626 1191.1765
Fv D#v S#v
55 8+ E+ E^' S^' Eb^' Cq/V\\\ C+/Vbd X+/Cbd 1159.3137 1162.9219 1171.3996 1172.6941 1178.5714 1180.403

1180.7617

1186.2745

1186.4397

1192.0843 1194.5701 1198.9619 1213.2353
F, D#, S#,
56 8# E# F D# S# Cp/V\\ C#/Vb X#/Cb 1180.3922 1184.0659 1192.6978 1194.11765 1200 1201.8649

1202.3301

1207.8731

1208.0113

1213.7586 1216.2896 1220.76125 1235.2941
57 8#+ E#+ F'/G\\v, D#' S#' Cpq/V\ C#+/Vd X#+/Cd 1201.4706 1205.21 1213.9959 1215.4412 1221.4286 1223.3268

1223.6985

1229.4118

1229.583

1235.4328 1238.009 1242.56055 1257.3529
Ev,
58 8x/9bb Ex/Fbb F^/G\\v D#^ S#^ V C 1222.549 1226.354 1235.2941 1236.7647 1242.8571 1244.7886

1245.1669

1250.9804

1251.1546

1257.1071 1259.7285 1264.3599 1279.4118
Ev
59 9bd Fbd F^'/G\\, D#^' S#^' Vq V+ C+/Vd 1243.6274 1247.498 1256.5923 1258.0882 1264.2857 1266.2505

1266.6353

1272.2549

1272.7262

1278.7813 1281.448 1286.1592 1301.4706
E,
60 9b Fb G\\ E Vp V# V 1264.7059 1268.6421 1277.8905 1279.4118 1285.7143 1287.7124

1288.1037

1294.11765

1294.2979

1300.4556 1303.1674 1307.9585 1323.5294
61 9d Fd G\\'/Fpv, E'/Fv, Vpq/B\\\ V#+/Bbd V+/Bbd 1285.7843 1289.7861 1299.1886 1300.7353 1307.1429 1309.17425

1309.5721

1315.6863

1315.8695

1322.1299 1324.8869 1329.7578 1347.5882
62 9 F G\\^/Fpv E^/Fv B\\ Bb V#/Bb 1306.86275 1310.9301 1320.4868 1322.0588 1328.5714 1330.6361

1331.0405

1337.2549

1337.4411

1343.8041 1346.6603 1351.5571 1367.6471
63 9+ F+ G\\^/'Fp, E^'/F, B\ Bd V#+/Bd 1327.9412 1332.0741 1341.785 1343.38235 1350 1352.098

1352.5089

1358.8235

1359.01275

1365.4784 1368.3258 1373.3564 1388.7059
64 9# F# Fp F B 1349.0196 1353.2182 1363.0832 1364.7059 1371.4286 1373.5599

1373.9773

1380.3922

1380.5844

1387.1526 1390.04525 1395.1557 1411.7647
65 9#+/1bd F#+/Gbd Fp' F' Bpq/Q\\ B+/Qbd 1370.098 1374.36225 1384.3814 1386.0294 1392.8571 1395.02175

1395.44565

1401.9608

1402.156

1408.8269 1411.7647 1416.955 1433.8235
Gv
66 1b Gb Fp^ F^ Bp/Q\\ B#/Qb 1391.1765 1395.5063 1405.6795 1407.3529 1414.2857 1416.4836

1416.91405

1423.5294

1423.7276

1430.5012 1433.4842 1438.7543 1455.88235
Gv
67 1d Gd Fp^' F^' Bpq/Q\ B#+/Qd 1412.2549 1416.6503 1426.9777 1428.6765 1435.7143 1437.9455

1438.3824

1445.098

1445.993

1452.1754 1455.2036 1460.5536 1477.9412
Gv,
68 1 G Q 1433.3333 1437.79435 1448.2759 1450 1457.1429 1459.4073

1459.8508

1466.6667

1466.8709

1473.8497 1476.9231 1482.3529 1500
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