68ed7/3

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Intervals

Degrees Enneatonic Pentadecatonic Enneadecatonic ed43\36~55ed1160¢ Pyritev ed6\5~56ed1187¢ 57ed1213¢~ed35\29 ed29\24=r¢v ed23\19 Pyrite ed17\14 18ed5/4~Goldenv 54ed1160¢~81/80e ed11\9~ed7/3t~55ed1187¢ 23ed4/3~56ed1213¢~Golden^ ed16\13 57ed1240¢~ed37\30 ed21\17 55edo ed56\45 54ed1187¢~ed91\73 55ed1213¢~ed5\4=r¢^
1 1+ G+ G' Qq Q+ 21.0784

21.0909

21.144 21.1765

21.1964

21.2807

21.2982

21.3235 21.3622 21.3922 21.4286 21.4617

21.4684

21.4815

21.5063

21.5686

21.5716

21.5818

21.6541

21.6607

21.6743

21.7195 21.7544

21.7647

21.7993 21.8182 21.9608 21.9815

21.9984

22.05455

22.0588

Jv, Av, Jbv, Abv, W\\v Wbv
2 1# G# G^ Qp/W\\\ Q#/Wb 42.1569

42.1818

42.2881 42.3529

42.3929

42.5614

42.59635

42.6471 42.7245 42.7844 42.8571 42.92375

42.9368

42.963

43.0126

43.13725

43.1433

43.1636

43.3083

43.3214

43.3485

43.4389 43.5088

43.5294

43.5986 43.6364 43.9216 43.963

43.9968

44.1091

44.11765

Jv Av Jbv Abv
3 1#+ G#+ G^' Qpq Q#+ 63.2353

63.2727

63.4321 63.5294

63.5893

63.8421

63.8945

63.9706 64.0867 64.1766 64.2857 64.3856

64.4052

64.4444

64.5189

64.7059

64.7149

64.74575

64.9624

64.9821

65.1228

65.1584 65.2632

65.2941

65.3979 65.45455 65.88235 65.9444

65.9952

66.1636

66.1765

J, A, Jb, Ab, W\ Wd
4 1x/2bb Gx J A Jb Ab W 84.3137

84.3636

84.5761 84.7059

84.7857

85.1228

85.1927

85.2941 85.4489 85.5688 85.7143 85.8475

85.8736

85.9259

86.0252

86.2745

86.2865

83.3273

86.6165

86.6429

86.697

86.8778 87.0175

87.0588

87.1972 87.2727 87.8431 87.9259

87.99355

88.2182

88.2353

Jbb Abb
5 2bv Jbv Abv J'/A\\v, A'/B\\v, Jb' Ab' Wq W+ W+/Ebd 105.3922

105.45455

105.7202 105.88235

105.9821

106.4035

106.4909

106.61765 106.81115 106.961 107.1429 107.3094

107.342

107.4074

107.53145

107.8431

107.8582

107.9091

108.27065

108.3036

108.3713

108.5973 108.7719

108.8235

108.9965 109.0909 109.8039 109.9074

109.9919

110.2727

110.2941

G#v,
6 2b Jb Ab J^/A\\v A^/B\\v Jb^ Ab^ Wp W# W#/Eb 126.4706

126.54545

126.8642 127.0588

127.1786

127.6842

127.78905

127.9412 128.1734 128.3532 128.5714 128.7712

128.8104

128.8889

129.0377

129.4118

129.4298

129.4909

129.9248

129.9643

130.0456

130.3167 130.5263

130.5882

130.79585 130.9091 131.7647 131.8889

131.9903

132.3273

132.3529

G#v
7 2d Jd Ad J^'/A\\, A^'/B\\, Jb^' Ab^' Wpq/E\\\ W#+/E(b)d 147.549

147.6364

148.0082 148.2353

148.375

148.9649

149.0872

149.2647 149.5356 149.7454 150 150.2331

150.2788

150.3704

150.544

150.9804

151.0014

151.0727

151.5789

151.625

151.7198

152.0362 152.2807

152.3529

152.5952 152.7273 153.7255 153.8704

153.9887

154.3818

154.4118

G#,
8 2 J A A\\ B\\ G# E\\ Eb E 168.62745

168.7273

169.1523 169.4118

169.5714

170.2456

170.3854

170.5882 170.8978 171.1376 171.4286 171.695

171.7472

171.85185

172.0503

172.549

172.57305

172.65455

173.233

173.2857

173.3941

173.7557 174.0351

174.11765

174.3945 174.54545 175.6863 175.85185

175.9871

176.4364

176.4706

9 2+ J+ A+ A\\'\/Jpv, B\\'/Apv, G#' E\ Ed E+/Rd 189.7059

189.8182

190.2963 190.5882

190.7629

191.5263

191.6836

191.9118 192.2601 192.5298 192.8571 193.1569

193.21555

193.3333

193.5566

194.11765

194.1447

194.2364

194.8872

194.9464

195.0683

195.4751 195.7895

195.88235

196.1938 196.3636 197.6471 197.8333

197.9855

198.4909

198.5294

Jv, Av,
10 2# J# A# A\\^/Jpv B\\^/Apv G#^ E R 210.7843

210.9091

211.44035 211.7647

211.9643

212.807

212.9817

213.2353 213.6223 213.922 214.2857 214.6187

214.68395

214.8148

215.0629

215.6863

215.7163

215.8182

216.5413

216.6071

216.7426

217.1946 217.5439

217.6471

217.9931 218.1818 219.6078 219.8148

219.9839

220.54545

220.5882

Jv Av
11 2#+ J#+ A#+ Jp, Ap, G#^' Epq/R\\\ E+/Rbd R+/Tbd 231.86275

232

232.5844 232.9412

233.1607

234.0877

234.2799

234.5888 234.9845 235.31415 235.7143 236.0806

236.1523

236.2963

236.5692

237.2549

237.2879

237.4

238.1954

238.2679

238.4169

238.914 239.29825

239.4118

239.7924 240 241.5686 241.7963

241.9823

242.6(471)
J, A,
12 2x/3bb Jx/Abb Ax/Bbb Jp Ap J A Ep/R\\ E#/Rb R#/Tb 252.9412

253.0909

253.7284 254.11765

254.3571

255.3684

255.5781

255.88235 256.34675 256.70635 257.1429 257.5425

257.6207

257.7778

258.0755

258.8235

258.8596

258.9818

259.8496

259.9286

260.0911

260.6335 261.0526

261.1765

261.5917 261.8182 263.5294 263.7778

263.9801

264.65455

264.7059

13 3bd Abd Bbd Jp'/Av, Ap^/Bv J'/A, A'/Bv, Epq/R\ E#+/Rd R#+/Td 274.0196

274.1818

274.87245 275.2941

275.5538

276.6941

276.8763

277.2059 277.709 278.09855 278.5714 279.00435

279.0891

279.2593

279.5818

280.3922

280.4312

280.5636

281.5037

281.5893

281.7654

282.3529 282.807

283.9412

283.391 283.6364 285.4902 285.7593

285.97905

286.7091

286.7647

14 3b Ab Bb Jp^/Av Ap^/Bv J^/Av A^/Bv R T 295.098

295.2727

296.0165 296.4706

296.75

297.9298

298.1744

298.5294 299.0712 299.4907 300 300.4662

300.5575

300.7407

301.08805

301.9608

302.0028

302.14545

303.1578

303.25

303.4396

304.0721 304.5614

304.7059

305.1903 305.45455 307.451 307.7407

307.9774

308.7636

308.8235

15 3d Ad Bd Jp^'/A, Ap^'/B, J^'/A, A^'/Bv, Rq/T\\\ R+/Tbd T+/Ybd 316.1765

316.3636

317.1605 317.6471

317.9464

319.2105

319.4726

319.8529 320.4334 320.8829 321.4286 321.9281

322.0259

322.2222

322.5943

323.5294

323.5745

323.7273

324.812

324.9107

325.1139

325.7919 326.3158

326.4706

326.9896 327.2727 329.4118 329.7222

329.9759

330.8182

330.88235

16 3 A B A B A B Rp/T\\ R#/Tb T#/Yb 337.2549

337.45455

338.30455 338.8235

339.1429

340.4912

340.7708

341.1765 341.7957 342.2751 342.8571 343.39

343.4943

343.7037

344.1006

345.098

345.1461

345.3091

346.4661

346.5714

346.7882

347.5113 348.0702

348.2353

348.7889 349.0909 351.37255 351.7037

351.9742

352.8727

352.9412

17 3+ A+ B+ A'/Bv, B'/Cv, A'/Bbv, B^'/Cbv, Rpq/T\ R+/Tbd T#+/Yd 358.3333

358.54545

359.4486 360(.3393) 361.7719

362.069

362.5 363.1579 363.6673 364.2857 364.8518

364.9627

365.1852

365.6069

366.6667

366.7177

366.8909

368.1202

369.2321

368.4624

369.2308 369.8246

370

370.5882 370.9091 373.3333 373.6852

373.9726

374.9272

375

18 3# A# B# A^/Bv B^/Cv A^/Bbv B^/Cbv T Y 379.4118

379.6364

380.5926 381.1765

381.5357

382.0526

383.3671

383.8235 384.5201 385.0595 385.7143 386.3137

386.4311

386.6667

387.1132

388.2353

388.2894

388.4727

389.77435

389.8929

390.1367

390.9502 391.57895

391.7647

392.3875 392.7273 395.2941 395.6667

395.971

396.9818

397.0588

19 3#+ A#+ B#+ A^'/B, B^'/Cv, A^'/Bb, B^'/Cbv, Tq\A\\\ T#+/Ad Y+/Ubd 400.4902

400.7273

401.7367 402.3529

402.7321

404.3333

404.6653

405.1471 405.88235 406.4517 407.1429 407.7756

407.8995

408.1482

408.6195

409.8039

409.861

410.05455

411.4285

411.5536

411.8109

412.6697 413.3333

413.5294

414.18685 414.54545 417.2549 417.6482

417.9694

419.0364

419.11765

20 3x/4b Ax/Bbb Bx/Cbb B C Bb Cb Tp\A\\ T#/Ab Y#/Ub 421.5686

421.8182

422.8807 423.5291

423.9286

425.614

425.9635

426.4706 427.2446 427.8439 428.5714 429.2375

429.3679

429.6296

430.1258

431.37255

431.4326

431.6364

433.0826

433.2143

433.4852

434.3891 435.0877

435.2941

435.9862 436.3636 439.2157 439.6296

439.9678

441.0909

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

442.9091

444.0247 444.7059

444.125

446.8947

447.2617

447.7941 448.6068 449.2361 450 450.6993

450.8363

451.1111

451.6321

452.9412

453.00425

453.2182

454.7367

454.875

455.1595

456.1086 456.8421

457.0588

457.7855 458.1818 461.1765 461.6111

461.9662

463.14545

463.2353

22 4b Bb Cb B^/C\\v C^/Q\\v Bb^/A#v Cb^/B#v A U 463.7255

464

465.1688 465.88235

466.3214

468.1574

468.5598

469.11765 448.6068 470.6283 471.4286 472.1612

472.3047

472.5926

473.1384

474.5098

474.5759

474.8

476.3909

476.5357

476.8337

477.82805 478.5965

478.8235

479.5848 480 483.13725 483.5926

483.9645

485.2(941)
23 4d B Cd B^'/C\\v, C^'/Q\\, Bb^'/A#, Cb^'/B#, Apq A+ U+/Abd 484.8039

485.0909

486.3263 486.5882

487.5179

489.4561

489.858

490.4412 491.3313 492.0205 492.8571 493.6231

493.7731

494.0741

494.6447

496.0784

496.1475

496.3818

498.045

498.1964

498.508

499.5475 500.3509

500.5882

501.3841 501.8182 505.098 505.5741

505.9629

507.25455

507.3529

24 4 B C C\\ Q\\ A# B# Ap A# U#/Ab 505.88235

506.1818

507.4568 508.2353

508.7143

510.7368

511.1562

511.7647 512.6935 513.4127 514.2857 515.08465

515.2415

515.5556

516.15095

517.6471

517.7191

517.9636

519.6991

519.8571

520.1822

521.267 522.1053

522.3529

523.1834 523.6364 527.0588 527.5556

527.9613

529.3091

529.4118

25 4+ B+ C+ C\\'/Bpv, Q\\'/Cpv, A#'/Bv, B#'/Cv, Apq/S\\\ A#+/Sbd U#+/Ad 526.9608

527.2727

528.6009 529.4118

529.9107

532.0175

532.4544

533.0882 534.0557 534.8049 535.7143 536.5468

536.7099

537.037

537.6572

539.2157

539.2908

539.54545

541.3533

541.5179

541.3565

542.9864 543.85965

544.11765

544.9827 545.45455 549.0196 549.537

549.9597

551.3636

551.4706

26 4# B# C# C\\^/Bpv Q\\^/Cpv A#^/Bv B#^/Cv S\\ Sb A 548.0392

5483636

549.7449 550.5882

551.1071

533.29825

553.7525

554.0588 555.418 556.1971 557.1429 557.08465

557.2415

558.5185

559.1635

560.7843

560.8624

561.1273

563.0074

536.1786

563.5308

564.7059 565.614

565.88235

566.782 567.2727 570.9804 571.5185

571.9581

573.4182

573.5294

27 4#+/5bd B#+/Cbd C#/Dbd C\\^'/Bp, Q\\^'/Cpv, A#^'/B, B#^'/C, S\ Sd A+/Sd 569.11765

569.45455

570.8889 571.7647

572.3036

574.57895

575.0507

576.7353 576.7802 577.5893 578.5714 579.4703

579.6467

580(.6698) 582.3529

582.434

582.7091

584.6615

584.8393

585.205

586.4253 587.3684

587.6471

588.5813 589.0909 592.9412 593.5

593.9565

595.4727

595.5882

28 5b Cb Qb Bp Cp B C S 590.1961

590.54545

592.033 592.9412

593.5

595.85965

596.3489

597.0588 598.1424 598.9815 600 600.9324

601.16505

601.4815

602.1761

603.9216

604.0057

604.2909

606.31565

606.5

606.8793

608.1448 609.1228

609.4118

610.3806 610.9091 614.902 615.4815

615.9549

617.5273

617.6471

29 5d Cd Qd Bp'/Cv, Cp'/Qv, B'/Cv, C'/Qv, Sq/D\\\ S+/Dbd 611.2745

611.6364

613.177 614.11765

614.6964

617.14035

617.6471

618.38235 619.5046 620.3737 621.4286 622.3943

622.58345

622.963

623.6824

625.4902

625.5773

625.8727

627.9698

628.1607

628.5535

629.86425 630.8772

631.1765

632.1799 632.7273 636.86275 637.463

637.9533

639.5818

639.7059

30 5 C Q Bp^/Cv Cp^/Qv B^/Cv C^/Qv Sp/D\\ S#/Db 632.3529

632.7273

634.321 635.2941

635.8929

638.42105

638.9452

639.7059 640.8669 641.7659 642.8571 643.8562

644.0518

644.4444

645.1887

647.0588

647.1489

647.45455

649.6239

649.8214

650.2278

651.5837 652.6316

652.9412

653.9792 654.54545 658.8235 659.4444

659.95165

661.6364

661.7647

31 5+ C+ Q+ Bp^'/C, Cp^/'Q, B^'/C, C^'/Q, Spq/D\ S#+/Dbd 653.4314

653.8182

655.4651 656.4706

657.0893

659.70175

660.2434

661.0294 662.2291 663.1581 664.2857 665.3181

665.5203

665.9259

666.695

668.62745

668.7206

669.0364

671.278

671.4821

671.9021

673.3032 674.386

674.7059

675.77855 676.3636 680.7843 681.4259

681.95

683.6909

683.8235

32 5# C# Q# C Q C Q D 674.5098

674.9091

676.6091 677.6471

678.2857

680.9825

681.5416

682.3529 683.5913 684.5503 685.7143 686.7799

686.9886

687.4074

668.2013

690.1961

690.2922

690.6182

692.9322

693.1429

693.5763

695.0226 696.14035

696.4706

697.57786 698.1818 702.7451 703.4074

703.9484

705.74545

705.88235

33 5#+ C#+ Q#+ C'/Qv, Q'/Dv, C'/Qbv, Q'/Dbv, Dq/F\\\ D+/Fbd 695.5882

696

697.7531 698.8235

699.4821

702.2632

702.8398

703.6765 704.9536 705.9425 707.1429 708.2418

708.457

708.8889

709.7076

711.7647

711.8638

712.2

714.5863

714.8036

715.2506

716.7421 717.8947

718.2353

719.3772 720 724.7059 725.3889

725.9468

727.8

727.9412

34 5x/6bb Cx/Qbb Qx/Dbb C^/Qv Q^/Dv C^/Qbv Q^/Dbv Dp/F\\ D#/Fb 716.6667

717.0909

718.8972 720(.6786) 723.5429

724.1379

725 726.3158 727.3347 728.5714 729.7037

729.9254

730.3704

731.21385

733.3333

733.43545

733.7818

736.2404

736.4643

736.9248

738.4615 739.6491

740

741.1765 741.8182 746.6667 747.3704

747.9452

749.85455

750

35 6bd Qbd Dbd C^/Qv Q^/Dv C^/Qbv Q^/Dbv Dp/F\\ D#/Fb 737.745

738.1818

740.0412 741.1765

741.875

744.8246

754.4361

746.3235 747.678 748.72685 750 751.16555

751.3938

751.85185

752.7201

754.902

755.0071

755.3636

757.8946

758.125

758.5991

760.181 761.4035

761.7647

762.9758 763.6364 768.62745 769.35185

769.9436

771.9091

772.0588

36 6b Qb Db Q D Qb Db F 758.8235

759.2727

761.1852 762.3529

763.0714

766.1053

766.7343

767.6471 769.04025 770.11905 771.4286 772.6274

772.8622

773.3333

774.2264

776.4706

776.5787

776.94545

779.5487

779.7857

780.2734

781.9005 783.1579

783.5294

784.7751 785.45455 790.5882 791.3333

791.942

793.9636

794.11765

37 6d Qd Dd Q'/D\\v, D'/E\\v, Qb'/C#v, Db'/Q#v, Fq/G\\\ F+/Gbd 779.902

780.3636

782.3293 783.5924

784.2679

787.386

788.03245

788.9706 790.4025 791.51125 792.8571 794.0893

794.3306

794.8148

795.7327

798.0392

798.15035

798.5273

801.2028

801.4464

801.9476

803.6199 804.9123

805.2941

806.5744 807.2727 812.549 813.3148

813.9404

816.0182

816.1765

38 6 Q D Q^/D\\v D^/E\\v Qb^/C#v Db^/Q#v Fp/G\\ F#/Gb 800.9804

801.45455

803.4733 804.7059

805.4643

808.6667

809.3306

810.2941 811.7647 812.9034 814.2857 815.5512

815.799

816.2963

817.239

819.6078

819.722

820.1091

822.857

823.1071

823.6219

825.3394 826.6667

827.0588

828.3737 829.0909 834.5098 835.2963

835.9388

838.0727

838.2353

39 6+ Q+ D+ Q^'/D\\, D^'/E\\, Qb^'/C#, Db^'/Q#, Fpq/G\ F+/Gd 822.0588

822.54545

824.61735 825.88235

826.6607

829.9474

830.6288

831.61765 833.1269 834.2956 835.7143 837.01305

837.2674

837.7778

838.7453

841.1765

841.2936

841.6909

844.5111

844.7679

845.2961

847.0588 848.42105

848.8235

850.173 850.9091 856.4706 857.2778

857.93715

860.1273

860.2941

40 6# Q# D# D\\ E\\ C# Q# G 843.13725

843.6364

845.7614 847.0588

847.8571

851.2281

851.927

852.9412 854.4892 855.6878 857.1429 858.4749

858.7358

859.2593

860.2516

862.7451

862.8982

863.2727

866.1652

866.4286

866.9704

868.7783 870.1754

870.5882

871.9723 872.7273 878.4314 879.2593

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