53ed7/3

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This edX is practically identical to an to an extended Pythagorean tuning distort¢ed to repeat at 7/3. It also makes the unit step fall .093 cent sharp of 14ed5/4.

Intervals

Degrees Enneatonic Pentadecatonic Enneadecatonic ed43\36 30ed8/5~Pyritev ed6\5 64/63et~44edo ed35\29 ed29\24=r¢v ed23\19 Pyrite ed17\14 Goldenv 45ed1240¢~44ed1213¢~14ed5/4~43ed1187¢~42ed1160¢ ed11\9~ed7/3 Golden^ ed16\13 43edo~ed37\30 ed21\17~28cet~ed26\21 ed56\45~44ed1240¢~43ed1213¢~ed91\73~42ed1187¢ ed5\4=r¢^
1 8x Ex W\\ Wb Q# 27.044 27.1229

27.1282

27.1698 27.2641

27.2727

27.326 27.3585 27.4081 27.4466 27.4633 27.5444 27.5556

27.5682

27.5938 27.60465

27.6191

27.673

27.6768

27.8085 27.8665 27.907

27.9245

27.9689

28(.03235)

28.1761

28.1818

28.2093

28.22435

28.2619 28.3019
2 2b Jb Ab Qp Q# Wb 54.08805 54.24575

54.2564

54.3396 54.5282

54.54545

54.6519 54.717 54.8163 54.8932 54.9865 55.0887 55.1111

55.1364

55.1877 55.2093

55.2381

55.3459

55.3536

55.617 55.73295 55.81395

55.8491

55.93785

56(.0647)

56.3522

56.3636

56.4186

56.4487

56.5238 56.6038
3 9# F# W 81.1321 81.3686

81.3846

81.5094 81.7923

81.8182

81.9779 82.0755 82.2244 82.3398 82.4798 82.6331 82.6667

82.70455

82.7815 82.81395

82.8571

83.0189

83.0304

83.42545 83.5994 83.7209

83.7736

83.9068

84(.097)

84.5283

84.54545

84.6279

84.673

84.7857 84.9057
4 3bb Abb Bbb Ex Ebb W# 108.1761 108.4915

108.5128

108.67925 109.0564

109.0909

109.3838 109.434 109.6326 109.7864 109.97305 110.1774 110.2222

110.2727

110.37525 110.4186

110.4762

110.6918

110.7073

111.2339 111.4659 111.6279

111.6981

111.8757

112(.1294)

112.7044

112.7273

112.8372

112.8974

113.0476 113.20755
5 1# G# Wp W# Eb 135.2001 135.6144

135.641

135.8491 136.3205

136.3636

136.6298 136.79245 137.0407 137.23295 137.1661 137.7218 137.7778

137.8409

137.9692 138.0233

138.0952

138.3648

138.38405

139.0424 139.3324 139.5349

139.6226

139.8776

140(.1617)

140.8805

140.9091

141.0465

141.1217

141.3095 141.5094
6 8*/4bbb E* E\\ Eb E 162.26415 162.7373

162.7692

163.0189 163.58455

163.6364

163.9558 164.1509 164.4489 164.67955 164.9696 165.2661 165.3333

165.4091

165.563 165.6279

165.7143

166.0377

166.0609

166.8509 167.1988 167.4419

167.5472

167.8135

168(.1941)

169.0566

169.0909

169.2558

169.3461

170.5714 169.8113
Bbbb Cbbb
7 2 J A Wpp Wx E#/Rb 189.3082 189.8601

189.8971

190.1886 190.8486

190.9091

191.3817 191.5094 191.857 192.1261 192.4528 192.8105 192.8889

192.9773

193.1569 193.2326

193.3333

193.7107

193.7377

194.6594 195.0653 195.3488

195.4717

195.7825

196(.2264)

197.2327

197.2727

197.4651

197.5704

197.8333 198.1132
8 9x Fx E R 216.3522 216.983

217.0256

217.3565 218.1127

218.1818

218.6077 215.8679 219.2651 219.5727 219.946 220.3548 220.4444

220.54545

220.7507 220.8372

220.9524

221.38365

221.4145

222.4679 222.9319 223.2558

223.3962

223.7514

224(.2588)

225.4088

225.45455

225.6744

225.7948

226.0952 226.4151
9 3b Ab Bb R\\ Rb R# 243.3962 244.1059

244.1538

244.5283 245.3768

245.45455

245.9336 248.2264 246.6733 247.0193 247.43935 247.8992 248(.1136, .3445, 4419, .5714) 249.0566

249.0913

250.2764 250.7983 251.1628

251.32075

251.7203

252(.2911

253.5849

253.6364

253.8837

254.0191

254.3571 254.717
10 1x Gx Ep E# Tb 270.44025 271.2286

271.28195

271.6981 272.6409

272.7273

273.2596 273.5849 274.0814 274.4659 274.9326 275.44355 275.5556

275.6818

275.9384 276.0465

276.1905

276.7296

276.7681

278.08185 278.9957 279.0698

279.2453

279.6892

280(.32345)

281.761

281.8182

282.093

282.2435

282.61905 283.0289
11 4bb Bbb Cbb R T 297.4842 298.3516

298.41015

298.8679 299.905

300

300.5856 300.9434 301.4896 301.9125 302.4259 302.9879 303.1111

303.25

303.5322 303.6512

303.8095

304.4025

304.4449

305.8933 306.5312 306.9767

307.1698

307.6582

308(.3558)

309.9371

310(.3023, .4678, .88095)

311.32075
12 2# J# A# T\\ Tb T# 324.5283 325.4745

325.5384

326.0377 327.1691

327.2727

327.9115 328.3019 328.8977 329.3591 329.9191 330.5323 330.6667

330.8182

331.126 331.2558

331.4286

332.0755

332.1217

333.7208 334.3977 334.8837

335.0943

335.6271

336(.3881)

338.1132

338.1818

338.5116

338.6922

339.1429 339.6226
13 9*/5bb F* Rp R# Yb 351.5723 652.5974

352.6665

353.20755 354.4332

354.54545

355.2375 355.6605 356.3059 356.8057 357.4124 358.0766 358.2222

358.3864

358.7199 358.8605

359.0476

359.7484

359.7985

361.8103 362.26415 362.7907

363.0189

363.596

364(.4205)

366.2893

366.3636

366.7209

366.9165

367.4048 367.9243
Cbb Qbb
14 3 A B T Y 378.61635 379.7203

379.7947

380.3774 381.6973

381.8182

382.5634 383.0189 383.714 384.2523 384.9057 385.621 385.7778

385.95455

386.3137 386.4651

386.6667

387.4214

387.4753

389.3188 390.1306 390.6977

390.9434

391.5649

392(.4528)

394.4654

394.54545

394.9302

395.1401

395.6667 396.2264
15 1*/6bbb G* A\\ Ab Y# 405.6604 406.8431

416.9229

407.5472 408.9614

409.0909

409.8894 410.3774 411.12215 411.6989 412.3989 413.1653 413.3333

413.5227

413.9076 414.0698

414.3857

415.0943

415.1521

417.1273 417.9971 418.60465

418.8679

419.53385

420(.4852)

422.6415

422.7273

423.1395

423.3652

423.9286 424.5283
Qbbb Dbbb
16 4b Bb Cb Tp T# Ab 432.7044 433.966

434.0511

434.717 436.2255

436.3636

437.21535 437.73585 438.5303 439.14545 439.8922 440.7097 440.8889

441.0909

441.5014 441.6744

441.9048

442.7673

442.82895

444.93575 445.8636 446.5116

446.79245

447.5028

448(.5175)

450.8176

450.9091

451.3488

451.5896

452.1905 452.8302
17 2x Jx Ax A U 459.7484 461.0889

461.1793

461.8868 463.4896

463.6364

464.5413 465.0943 465.9384 466.59205 467.3854 468.254 468.4444

468.6591

469.0952 469.2791

469.5328

470.44025

470.8058

472.7442 473.73 474.4186

474.717

475.4717

476(.5499)

478.9937

479.0909

479.5581

479.8139

480.4524 481.1321
18 5b Cb Qb Sx Sbb U# 486.79245 488.2118

488.3078

489.0566 490.75365

490.9091

491.8673 492.4528 493.3466 494.0386 494.8788 495.7984 496(.2273, .5791, .8837)

497.1429

498.1132

498.1826

500.5527 501.5965 502.3256

502.6415

503.4403

504(.5822)

507.1698

507.2727

507.7674

508.03825

508.7143 509.434
19 3# A# B# Ap A# Ab 513.8365 515.33465

515.4357

516.2264 518.0177

518.1818

519.1932 519.8113 520.7547 521.4852 522.372 523.34275 523.5556

523.79545

524.2829 524.484

524.7619

525.7862

525.8594

528.3612 529.463 530.2326

530.566

531.40955

532(.6146)

535.3459

535.45455

535.9767

536.2626

536.9762 537.73585
20 6bb Qbb Dbb S\\ Sb A 540.8805 542.4575

542.5639

543.3962 545.2818

545.45455

546.5192 547.1698 548.1629 548.9318 549.8652 550.8871 551.1111

551.3636

551.8767 552.093

552.38095

553.4591

553.5362

556.1697 557.3295 558.1395

558.4906

559.3785

560(.6469)

563.522

563.6364

564.18605

564.48695

565.2381 566.0377
21 4 B C App Ax A#/Sb 567.9245 569.5804

569.6921

570.566 572.5459

572.7273

573.84515 574.5283 575.571 576.3784 577.3585 578.4315 578.6667

578.9318

579.4706 579.6977

580

581.1321

581.213

583.9782 585.1959 586.0465

586.4151

587.3474

588(.67925)

591.6981

591.8182

592.39535

592.7113

593.5 594.3396
22 2*/7bbb J*/Dbbb A*/Sbb S 594.96855 569.7033

596.8203

597.73585 599.81

600

601.1711 601.8868 602.97915 603.825 604.85175 605.9758 606.2222

606.5

607.0644 607.3023

607.6191

608.805

608.889

611.7867 613.0624 613.9535

614.3396

615.3163

616(.7116)

619.8742

620(.60465, .9356)

621.7619 922.6415
23 5 C Q D\\ Db S# 622.0126 623.82615

623.9484

624.9057 627.0741

627.2727

628.4971 629.2453 630.3873 631.2716 632.345 633.52022 633.7778

634.0682

634.6582 634.907

635.2381

636.478

636.5666

639.59515 640.9289 641.8605

642.26415

643.285

644(.7439)

648.0503

648.1818

648.81395

649.16

650.0238 650.9434
24 3x Ax Bx Sp S# Db 649.0566 650.949

651.0767

652.0755 654.3382

654.54545

655.823 656.6038 657.7954 658.7182 659.8383 661.0645 661.3333

661.6364

662.2521 662.5116

662.8571

664.1509

664.2434

667.4306 668.7954 669.7674

670.1887

671.2541

672(.7763)

676.2264

676.3636

677.0233

677.3843

678.2857 679.2453
25 6b Qb Db D 676.1006 678.0719

678.2049

679.2453 681.6023

681.8182

683.149 683.9623 685.2036 686.1648 687.3315 688.6089 688.8889

689.20455

689.8459 690.1163

690.4762

691.8239

691.9202

695.2121 696.6618 697.6744

698.1132

699.2231

700(.8086)

704.4025

704.54545

705.2326

705.6087

706.5476 707.5472
26 4# B# C# F\\ Fb D# 703.14465 705.1948

705.3331

706.4151 708.8664

709.0909

710.47495 711.32075 712.6117 713.6114 714.8248 716.1532 716.4444

716.7727

717.43975 717.7209

718.0952

719.4969

719.59705

723.0206 724.5283 725.5814

726.0377

727.192

728(.841)

732.5786

732.7273

733.4419

733.833

734.8095 735.8491
27 7bb Dbb Sbb Dp D# Fb 730.1887 732.3177

732.4613

733.5846 736.1305

736.3636

737.8003 738.67925 740.0199 741.05795 742.3181 743.6976 744(.3409) 745.0336 745.3256

745.7143

747.1698

747.2739

750.8291 752.3948 753.4883

753.9623

755.1609

756(.8733)

760.7547

760.9091

761.6512

762.0574

763.0714 764.1509
28 5# C# Q# F 757.2327 759.4405

759.5895

760.7547 763.3946

763.6364

765.1269 766.0377 767.428 768.50455 769.8113 771.24195 771.5556

771.9091

772.6274 772.9302

773.3333

774.8428

774.9507

778.6376 780.26125 781.39535

781.8868

783.1299

784(.9057)

788.9308

789.0909

789.8605

790.2817

791.3333 792.4528
29 3*/8bbb A* Bx G\\ Gb F# 784.2767 786.5634

786.4177

787.9245 790.6587

790.9091

792.4528 793.3962 794.83615 795.9511 797.3046 798.7863 799.1111

799.4773

800.2213 800.5349

800.9524

802.5157

802.6275

803.44605 808.1277 809.3023

809.8113

811.0988

812(.938)

817.1069

817.2727

818.0698

818.5061

819.5952 820.7547
Ebbb
30 6 Q D Fp F# Gb 811.32075 813.6863

813.8459

815.0943 817.92275

818.1818

819.7788 820.7547 822.2443 823.3977 821.7978 826.3307 826.6667

827.04545

827.8151 828.1395

828.5714

830.1887

830.3043

834.2545 835.9942 837.2093

837.73585

839.0678

840(.97035)

845.283

845.45455

846.2791

846.7304

847.8571 849.0567
31 4x Bx Cx G 838.3648 840.8092

840.97405

842.26415 845.18685

845.45455

847.10475 848.1132 849.6524 850.8443 852.2911 853.875 854.2222

854.6136

855.4089 855.7442

856.1905

857.8616

857.9811

862.063 863.8607 865.1163

865.6604

867.0366

868

869.0027

873.4591

873.6364

874.4884

874.9548

876.11905 877.3585
32 7b Db Sb Zx Zbb G# 865.4088 867.932

868.10225

869.434 872.4059

872.7273

874.4307 875.4717 877.0606 878.2909 879.7844 881.4194 881.7778

882.1818

883.0028 883.3488

883.8095

885.5346

885.6579

889.8715 891.7271 893.0233

893.5849

895.00555

896

897.035

901.6352

901.8182

902.6977

903.1791

904.38095 905.6604
33 5x Cx Qx Gp G# Hb 892.4528 895.0549

895.23045

896.6038 899.715

900

901.7567 902.8302 904.4687 905.7375 907.3776 908.9637 909.3333

909.75

910.5966 910.9535

911.4286

913.20755

913.3347.

917.68 919.5936 920.9302

921.5094

922.9745

924

925.0674

929.8113

930(.907)

931.4035

932.6429 933.9633
34 8bb Ebb Z\\ Zb H 919.4969 922.1778

922.3586

923.7736 926.9791

927.2727

929.0826 930.1887 931.8769 933.1841 934.7709 936.5081 936.8889

937.3152

938.19045 938.5581

939.0476

940.8805

941.0115

945.4885 947.4601 948.8372

949.434

950.9434

952

953.0997

957.9874

958.1818

959.1163

959.6278

960.9048 962.26415
35 6# Q# D# Gpp Gx H# 946.5409 949.3007

949.4868

950.9434 954.2432

954.54545

956.4086 957.5472 959.285 960.6307 962.26415 964.0524 964.4444

964.8864

965.7843 966.1628

966.6667

968.5535

968.6883

973.297 975.3266 976.7442

977.3585

978.9123

980

981.1321

986.1635

986.3636

987.3256

987.8522

989.1667 990.566
36 4*/9bbb B* C* Z Jb 973.5489 976.4235

976.615

978.1132 981.5073

981.8182

983.73455 984.9057 986.63915 988.0773 989.7574 991.5968 992(.45455) 993.3781 993.7674

994.3857

996.2264

996.3651

1001.10545 1003.193 1004.6512

1005.283

1006.7712

1008

1009.1644

1014.3396

1014.54545

1015.5349

1016.0765

1017.4286 1018.8679
Fbbb
37 7 D S X\\ Z# J 1000.6289 1003.5464

1003.7432

1005.283 1008.7714

1009.0909

1011.0605 1012.26415 1014.1013 1015.5239 1017.2057 1019.14115 1019.5556

1020.0227

1020.972 1021.3721

1021.9048

1023.8994

1024.04195

1028.9139 1031.0595 1032.5581

1033.2075

1034.8502

1036

1037.1968

1042.5156

1042.7273

1043.7442

1044.30085

1045.6905 1047.1698
38 5*/1bbb C* Q* Zp Xb J# 1027.673 1030.6693

1030.8714

1032.4528 1036.0355

1036.3636

1038.3865 1039.6226 1041.5094 1042.97045 1044.7439 1046.6855 1047.1111

1047.5909

1048.5658 1048.9767

1049.5328

1051.5723

1051.7188

1056.7224 1058.926 1060.4651

1061.1321

1062.8191

1064

1065.2291

1070.6917

1070.9091

1071.9535

1072.5252

1073.9524 1075.4717
Gbbb
39 8b Eb X Zb 1054.717 1057.7922

1057.9996

1059.6226 1063.2996

1063.6364

1065.7124 1066.9811 1068.9176 1070.417 1072.2372 1074.2299 1074.6667

1075.1591

1076.1596 1076.5814

1077.1429

1079.2453

1079.3956

1084.5309 1086.79245 1088.3721

1089.0566

1090.788

1092

1093.2615

1098.8678

1099.0909

1100.1628

1100.74955

1102.2143 1103.7736
40 6x Qx Dx C\\ X# Z 1081.761 1084.91505

1085.1278

1086.79245 1090.5637

1090.9091

1093.3038 1094.3396 1096.3257 1097.8636 1099.7305 1101.7742 1102.2222

1102.7273

1103.7535 1104.18605

1104.7619

1106.9182

1107.0724

1112.3394 1114.6589 1116.2791

1116.9811

1118.7569

1120

1121.2938

1127.0439

1127.2727

1128.3721

1128.9739

1130.4762 1132.0755
41 9bb Fbb Xp Cb Z#/Xb 1108.805 1112.0379

1112.256

1113.9623 1117.8278

1118.1818

1120.36435 1121.6981 1123.3734 1125.3102 1127.2237 1129.3186 1129.7778

1130.29545

1131.3473 1131.7907

1132.38095

1134.5912

1134.7492

1140.1479 1142.5254 1144.18605

1144.9057

1146.7259

1148

1149.32615

1155.2201

1155.45455

1156.5814

1157.1982

1158.7381 1160.3774
42 7# D# S# C X 1135.8491 1139.1608

1139.3842

1141.1321 1145.0919

1145.45455

1147.6903 1149.0566 1151.142 1152.7568 1154.717 1156.8629 1157.3333

1157.8636

1158.9411 1159.395

1160

1162.26415

1162.426

1167.95365 1170.3919 1172.093

1172.8302

1174.6948

1176

1177.3585

1183.3962

1183.6364

1184.7907

1185.4226

1187 1188.67925
43 1bb Gbb V\\ C# X# 1162.8931 1166.2838

1166.5124

1168.3019 1172.35595

1172.7273

1175.0163 1176.4151 1178.55015 1180.2034 1182.2102 1184.4073 1184.8889

1185.4318

1186.535 1187(.6091) 1189.9371

1190.1028

1195.7648 1198.25835 1200(.7547) 1202.6638

1204

1205.3908

1211.5723

1211.8182

1213(.6469) 1215.2619 1216.9811
44 8 E Cp Vb Cb 1189.9371 1193.40655

1193.6406

1195.4717 1199.62

1200

1202.3422 1203.7736 1205.9583 1207.65 1209.7035 1211.9516 1212.4444

1213

1214.1288 1214.60465

1215.2381

1217.6101

1217.7796

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46 9b Fb Bx Bbb C#/Vb 1244.0252 1247.6523

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47 7x Dx Sx Vp V# V 1271.0692 1274.7752

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48 1b Gb B\\ Bb V# 1298.1132 1301.8981

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49 8# E# Vpp Vx Bb 1325.1572 1326.0209

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50 2bb Jbb Abb B 1352.20125 1356.1438

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