53ed7/3
This edX is practically identical to an to an extended Pythagorean tuning distorted 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 | ed35\29 | ed29\24=r¢v | Pyriter¢ | ed17\14 | Goldenv | 14ed5/4 | ed11\9~ed7/3 | Golden^ | ed16\13 | 43edo~ed37\30 | ed21\17 | ed91\73 | ed5\4=r¢^ | |||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 8x | Ex | W\\ | Wb | Q# | 27.044 | 27.1229
27.1282 |
27.326 | 27.3585 | 27.4466 | 27.4633 | 27.5444 | 27.5938 | 27.673
27.6768 |
27.8085 | 27.8665 | 27.907
27.9245 |
27.9689 | 28.22435 | 28.3019 | |
| 2 | 2b | Jb | Ab | Qp | Q# | Wb | 54.08805 | 54.24575
54.2564 |
54.6519 | 54.717 | 54.8932 | 54.9865 | 55.0887 | 55.1877 | 55.3459
55.3536 |
55.617 | 55.73295 | 55.81395
55.8491 |
55.93785 | 56.4487 | 56.6038 |
| 3 | 9# | F# | W | 81.1321 | 81.3686
81.3846 |
81.9779 | 82.0755 | 82.3398 | 82.4798 | 82.6331 | 82.7815 | 83.0189
83.0304 |
83.42545 | 83.5994 | 83.7209
83.7736 |
83.9068 | 84.673 | 84.9057 | |||
| 4 | 3bb | Abb | Bbb | Ex | Ebb | W# | 108.1761 | 108.4915
108.5128 |
109.3838 | 109.434 | 109.7864 | 109.97305 | 110.1774 | 110.37525 | 110.6918
110.7073 |
111.2339 | 111.4659 | 111.6279
111.6981 |
111.8757 | 112.8974 | 113.20755 |
| 5 | 1# | G# | Wp | W# | Eb | 135.2001 | 135.6144
135.641 |
136.6298 | 136.79245 | 137.23295 | 137.1661 | 137.7218 | 137.9692 | 138.3648
138.38405 |
139.0424 | 139.3324 | 139.5349
139.6226 |
139.8776 | 141.1217 | 141.5094 | |
| 6 | 8*/4bbb | E* | E\\ | Eb | E | 162.26415 | 162.7373
162.7692 |
163.9558 | 164.1509 | 164.67955 | 164.9696 | 165.2661 | 165.563 | 166.0377
166.0609 |
166.8509 | 167.1988 | 167.4419
167.5472 |
167.8135 | 169.3461 | 169.8113 | |
| Bbbb | Cbbb | ||||||||||||||||||||
| 7 | 2 | J | A | Wpp | Wx | E#/Rb | 189.3082 | 189.8601
189.8971 |
191.3817 | 191.5094 | 192.1261 | 192.4528 | 192.8105 | 193.1569 | 193.7107
193.7377 |
194.6594 | 195.0653 | 195.3488
195.4717 |
195.7825 | 197.5704 | 198.1132 |
| 8 | 9x | Fx | E | R | 216.3522 | 216.983
217.0256 |
218.6077 | 215.8679 | 219.5727 | 219.946 | 220.3548 | 220.7507 | 221.38365
221.4145 |
222.4679 | 222.9319 | 223.2558
223.3962 |
223.7514 | 225.7948 | 226.4151 | ||
| 9 | 3b | Ab | Bb | R\\ | Rb | R# | 243.3962 | 244.1059
244.1538 |
245.9336 | 248.2264 | 247.0193 | 247.43935 | 247.8992 | 248.3445 | 249.0566
249.0913 |
250.2764 | 250.7983 | 251.1628
251.32075 |
253.7203 | 254.0191 | 254.717 |
| 10 | 1x | Gx | Ep | E# | Tb | 270.44025 | 271.2286
271.28195 |
273.2596 | 273.5849 | 274.4659 | 274.9326 | 275.44355 | 275.9384 | 276.7296
276.7681 |
278.08185 | 278.9957 | 279.0698
279.2453 |
279.6892 | 282.2435 | 283.0289 | |
| 11 | 4bb | Bbb | Cbb | R | T | 297.4842 | 298.3516
298.41015 |
300.5856 | 300.9434 | 301.9125 | 302.4259 | 302.9879 | 303.5322 | 304.4025
304.4449 |
305.8933 | 306.5312 | 306.9767
307.1698 |
307.6582 | 310.4678 | 311.32075 | |
| 12 | 2# | J# | A# | T\\ | Tb | T# | 324.5283 | 325.4745
325.5384 |
327.9115 | 328.3019 | 329.3591 | 329.9191 | 330.5323 | 331.126 | 332.0755
332.1217 |
333.7208 | 334.3977 | 334.8837
335.0943 |
335.6271 | 338.6922 | 339.6226 |
| 13 | 9*/5bb | F* | Rp | R# | Yb | 351.5723 | 652.5974
352.6665 |
355.2375 | 355.6605 | 356.8057 | 357.4124 | 358.0766 | 358.7199 | 359.7484
359.7985 |
361.8103 | 362.26415 | 362.7907
363.0189 |
363.596 | 366.9165 | 367.9243 | |
| Cbb | Qbb | ||||||||||||||||||||
| 14 | 3 | A | B | T | Y | 378.61635 | 379.7203
379.7947 |
382.5634 | 383.0189 | 384.2523 | 384.9057 | 385.621 | 386.3137 | 387.4214
387.4753 |
389.3188 | 390.1306 | 390.6977
390.9434 |
391.5649 | 395.1401 | 396.2264 | |
| 15 | 1*/6bbb | G* | A\\ | Ab | Y# | 405.6604 | 406.8431
416.9229 |
409.8894 | 410.3774 | 411.6989 | 412.3989 | 413.1653 | 413.9076 | 415.0943
415.1521 |
417.1273 | 417.9971 | 418.60465
418.8679 |
419.53385 | 423.3652 | 424.5283 | |
| Qbbb | Dbbb | ||||||||||||||||||||
| 16 | 4b | Bb | Cb | Tp | T# | Ab | 432.7044 | 433.966
434.0511 |
437.21535 | 437.73585 | 439.14545 | 439.8922 | 440.7097 | 441.5014 | 442.7673
442.82895 |
444.93575 | 445.8636 | 446.5116
446.79245 |
447.5028 | 451.5896 | 452.8302 |
| 17 | 2x | Jx | Ax | A | U | 459.7484 | 461.0889
461.1793 |
464.5413 | 465.0943 | 466.59205 | 467.3854 | 468.254 | 469.0952 | 470.44025
470.8058 |
472.7442 | 473.73 | 474.4186
474.717 |
475.4717 | 479.8139 | 481.1321 | |
| 18 | 5b | Cb | Qb | Sx | Sbb | U# | 486.79245 | 488.2118
488.3078 |
491.8673 | 492.4528 | 494.0386 | 494.8788 | 495.7984 | 496.5791 | 498.1132
498.1826 |
500.5527 | 501.5965 | 502.3256
502.6415 |
502.4403 | 508.03825 | 509.434 |
| 19 | 3# | A# | B# | Ap | A# | Ab | 513.8365 | 515.33465
515.4357 |
519.1932 | 519.8113 | 521.4852 | 522.372 | 523.34275 | 524.2829 | 525.7862
525.8594 |
528.3612 | 529.463 | 530.2326
530.566 |
531.40955 | 536.2626 | 537.73585 |
| 20 | 6bb | Qbb | Dbb | S\\ | Sb | A | 540.8805 | 542.4575
542.5639 |
546.5192 | 547.1698 | 548.9318 | 549.8652 | 550.8871 | 551.8767 | 553.4591
553.5362 |
556.1697 | 557.3295 | 558.1395
558.4906 |
559.3785 | 564.48695 | 566.0377 |
| 21 | 4 | B | C | App | Ax | A#/Sb | 567.9245 | 569.5804
569.6921 |
573.84515 | 574.5283 | 576.3784 | 577.3585 | 578.4315 | 579.4706 | 581.1321
581.213 |
583.9782 | 585.1959 | 586.0465
586.4151 |
584.3474 | 592.7113 | 594.3396 |
| 22 | 2*/7bbb | J*/Dbbb | A*/Sbb | S | 594.96855 | 569.7033
596.8203 |
601.1711 | 601.8868 | 603.825 | 604.85175 | 605.9758 | 607.0644 | 608.805
608.889 |
611.7867 | 613.0624 | 613.9535
614.3396 |
615.3163 | 620.9356 | 922.6415 | ||
| 23 | 5 | C | Q | D\\ | Db | S# | 622.0126 | 623.82615
623.9484 |
628.4971 | 629.2453 | 631.2716 | 632.345 | 633.52022 | 634.6582 | 636.478
636.5666 |
639.59515 | 640.9289 | 641.8605
642.26415 |
643.285 | 649.16 | 650.9434 |
| 24 | 3x | Ax | Bx | Sp | S# | Db | 649.0566 | 650.949
651.0767 |
655.823 | 656.6038 | 658.7182 | 659.8383 | 661.0645 | 662.2521 | 664.1509
664.2434 |
667.4306 | 668.7954 | 669.7674
670.1887 |
671.2541 | 677.3843 | 679.2453 |
| 25 | 6b | Qb | Db | D | 676.1006 | 678.0719
678.2049 |
683.149 | 683.9623 | 686.1648 | 687.3315 | 688.6089 | 689.8459 | 691.8239
691.9202 |
695.2121 | 696.6618 | 697.6744
698.1132 |
699.2231 | 705.6087 | 707.5472 | ||
| 26 | 4# | B# | C# | F\\ | Fb | D# | 703.14465 | 705.1948
705.3331 |
710.47495 | 711.32075 | 713.6114 | 714.8248 | 716.1532 | 717.43975 | 719.4969
719.59705 |
723.0206 | 724.5283 | 725.5814
726.0377 |
727.192 | 733.833 | 735.8491 |
| 27 | 7bb | Dbb | Sbb | Dp | D# | Fb | 730.1887 | 732.3177
732.4613 |
737.8003 | 738.67925 | 741.05795 | 742.3181 | 743.6976 | 717.43975 | 747.1698
747.2739 |
750.8291 | 752.3948 | 753.4883
753.9623 |
755.1609 | 762.0574 | 764.1509 |
| 28 | 5# | C# | Q# | F | 757.2327 | 759.4405
759.5895 |
765.1269 | 766.0377 | 768.50455 | 769.8113 | 771.24195 | 772.6274 | 774.8428
774.9507 |
778.6376 | 780.26125 | 781.39535
781.8868 |
783.1299 | 790.2817 | 792.4528 | ||
| 29 | 3*/8bbb | A* | Bx | G\\ | Gb | F# | 784.2767 | 786.5634
786.4177 |
792.7\4528 | 793.3962 | 795.9511 | 797.3046 | 798.7863 | 800.2213 | 802.5157
802.6275 |
803.44605 | 808.1277 | 809.3023
809.8113 |
811.0988 | 818.5061 | 820.7547 |
| Ebbb | |||||||||||||||||||||
| 30 | 6 | Q | D | Fp | F# | Gb | 811.32075 | 813.6863
813.8459 |
819.7788 | 820.7547 | 823.3977 | 821.7978 | 826.3307 | 827.8151 | 830.1887
830.3043 |
834.2545 | 835.9942 | 837.2093
837.73585 |
839.0678 | 846.7304 | 849.0567 |
| 31 | 4x | Bx | Cx | G | 838.3648 | 840.8092
840.97405 |
847.10475 | 848.1132 | 850.8443 | 852.2911 | 853.875 | 855.4089 | 857.8616
857.9811 |
862.063 | 863.8607 | 865.1163
865.6604 |
867.0366 | 874.9548 | 877.3585 | ||
| 32 | 7b | Db | Sb | Zx | Zbb | G# | 865.4088 | 867.932
868.10225 |
874.4307 | 875.4717 | 878.2909 | 879.7844 | 881.4194 | 883.0028 | 885.5346
885.6579 |
889.8715 | 891.7271 | 893.0233
893.5849 |
895.00555 | 903.1791 | 905.6604 |
| 33 | 5x | Cx | Qx | Gp | G# | Hb | 892.4528 | 895.0549
895.23045 |
901.7567 | 902.8302 | 905.7375 | 907.3776 | 908.9637 | 910.5966 | 913.20755
913.3347. |
917.68 | 919.5936 | 920.9302
921.5094 |
922.9745 | 931.4035 | 933.9633 |
| 34 | 8bb | Ebb | Z\\ | Zb | H | 919.4969 | 922.1778
922.3586 |
929.0826 | 930.1887 | 933.1841 | 934.7709 | 936.5081 | 938.19045 | 940.8805
941.0115 |
945.4885 | 947.4601 | 948.8372
949.434 |
980.9434 | 959.6278 | 962.26415 | |
| 35 | 6# | Q# | D# | Gpp | Gx | H# | 946.5409 | 949.3007
949.4868 |
956.4086 | 957.5472 | 960.6307 | 962.26415 | 964.0524 | 965.7843 | 968.5535
968.6883 |
973.297 | 975.3266 | 976.7442
977.3585 |
978.9123 | 987.8522 | 990.566 |
| 36 | 4*/9bbb | B* | C* | Z | Jb | 973.5489 | 976.4235
976.615 |
983.73455 | 984.9057 | 988.0773 | 989.7574 | 991.5968 | 993.3781 | 996.2264
996.3651 |
1001.10545 | 1003.193 | 1004.6512
1005.283 |
1006.7712 | 1016.0765 | 1018.8679 | |
| Fbbb | |||||||||||||||||||||
| 37 | 7 | D | S | X\\ | Z# | J | 1000.6289 | 1003.5464
1003.7432 |
1011.0605 | 1012.26415 | 1015.5239 | 1017.2057 | 1019.14115 | 1020.972 | 1023.8994
1024.04195 |
1028.9139 | 1031.0595 | 1032.5581
1033.2075 |
1034.8502 | 1044.30085 | 1047.1698 |
| 38 | 5*/1bbb | C* | Q* | Zp | Xb | J# | 1027.673 | 1030.6693
1030.8714 |
1038.3865 | 1039.6226 | 1042.97045 | 1044.7439 | 1046.6855 | 1048.5658 | 1051.5723
1051.7188 |
1056.7224 | 1058.926 | 1060.4651
1061.1321 |
1062.8191 | 1072.5252 | 1075.4717 |
| Gbbb | |||||||||||||||||||||
| 39 | 8b | Eb | X | Zb | 1054.717 | 1057.7922
1057.9996 |
1065.7124 | 1066.9811 | 1070.417 | 1072.2372 | 1074.2299 | 1076.1596 | 1079.2453
1079.3956 |
1084.5309 | 1086.79245 | 1088.3721
1089.0566 |
1090.788 | 1100.74955 | 1103.7736 | ||
| 40 | 6x | Qx | Dx | C\\ | X# | Z | 1081.761 | 1084.91505
1085.1278 |
1093.3038 | 1094.3396 | 1097.8636 | 1099.7305 | 1101.7742 | 1103.7535 | 1106.9182
1107.0724 |
1112.3394 | 1114.6589 | 1116.2791
1116.9811 |
1118.7569 | 1128.9739 | 1132.0755 |
| 41 | 9bb | Fbb | Xp | Cb | Z#/Xb | 1108.805 | 1112.0379
1112.256 |
1120.36435 | 1121.6981 | 1125.3102 | 1127.2237 | 1129.3186 | 1131.3473 | 1134.5912
1134.7492 |
1140.1479 | 1142.5254 | 1144.18605
1144.9057 |
1146.7259 | 1157.1982 | 1160.3774 | |
| 42 | 7# | D# | S# | C | X | 1135.8491 | 1139.1608
1139.3842 |
1147.6903 | 1149.0566 | 1152.7568 | 1154.717 | 1156.8629 | 1158.9411 | 1162.26415
1162.426 |
1167.95365 | 1170.3919 | 1172.093
1172.8302 |
1174.6948 | 1185.4226 | 1188.67925 | |
| 43 | 1bb | Gbb | V\\ | C# | X# | 1162.8931 | 1166.2838
1166.5124 |
1175.0163 | 1176.4151 | 1180.2034 | 1182.2102 | 1184.4073 | 1186.535 | 1189.9371
1190.1028 |
1195.7648 | 1198.25835 | 1200(.7547) | 1202.6638 | 1213.6469 | 1216.9811 | |
| 44 | 8 | E | Cp | Vb | Cb | 1189.9371 | 1193.40655
1193.6406 |
1202.3422 | 1203.7736 | 1207.65 | 1209.7035 | 1211.9516 | 1214.1288 | 1217.6101
1217.7796 |
1223.5733 | 1226.1248 | 1227.907
1228.6792 |
1230.6326 | 1241.8713 | 1245.283 | |
| 45 | 6*/2bbb | Q*/Jbbb | D*/Abbb | V | C | 1216.9811 | 1220.5291
1220.7688 |
1229.6682 | 1231.1321 | 1235.0966 | 1237.7197 | 1239.496 | 1241.72265 | 1245.253
1245.4564 |
1251.3818 | 1253.9913 | 1255.81395
1256.6038 |
1258.60155 | 1270.0956 | 1273.5849 | |
| 46 | 9b | Fb | Bx | Bbb | C#/Vb | 1244.0252 | 1247.6523
1247.897 |
1256.9941 | 1258.4906 | 1262.5432 | 1264.69 | 1267.04035 | 1269.3165 | 1272.956
1273.1332 |
1279.1903 | 1281.8578 | 1283.7209
1284.5283 |
1286.5705 | 1298.32 | 1301.8868 | |
| 47 | 7x | Dx | Sx | Vp | V# | V | 1271.0692 | 1274.7752
1275.0252 |
1284.3201 | 1285.8461 | 1289.9898 | 1292.1833 | 1294.5847 | 1296.9103 | 1300.6289
1300.81005 |
1306.9988 | 1309.7242 | 1311.6279
1312.4528 |
1314.5394 | 1326.5443 | 1330.1887 |
| 48 | 1b | Gb | B\\ | Bb | V# | 1298.1132 | 1301.8981
1302.1534 |
1311.646 | 1313.20755 | 1317.4364 | 1319.67655 | 1322.1291 | 1324.5042 | 1328.3019
1328.4869 |
1334.8073 | 1337.5927 | 1339.5349
1340.3774 |
1342.5083 | 1354.7687 | 1358.4906 | |
| 49 | 8# | E# | Vpp | Vx | Bb | 1325.1572 | 1326.0209
1329.2816 |
1338.972 | 1340.566 | 1344.88295 | 1347.1698 | 1349.6734 | 1352.098 | 1355.9748
1356.11637 |
1362.6157 | 1365.4572 | 1367.4419
1368.3019 |
1370.4773 | 1382.993 | 1386.79245 | |
| 50 | 2bb | Jbb | Abb | B | 1352.20125 | 1356.1438
1356.4098 |
1366.298 | 1367.9245 | 1372.3295 | 1374.5531 | 1377.2178 | 1379.6918 | 1383.6478
1383.8405 |
1390.4242 | 1393.3237 | 1395.3488
1396.2264 |
1398.4462 | 1411.2174 | 1415.0943 | ||
| 51 | 9 | F | Q\\ | Qb | B# | 1379.2453 | 1383.3667
1383.538 |
1393.6239 | 1395.286 | 1399.7761 | 1402.1563 | 1404.7621 | 1407.2857 | 1411.3208
1411.5173 |
1418.2327 | 1421.1901 | 1423.2558
1424.1509 |
1426.4151 | 1439.4417 | 1443.3962 | |
| 52 | 7*/3bbb | D*/Abbb | S*/Bbbb | Bp | B# | Qb | 1403.2893 | 1410.3896
1410.6662 |
1420.9499 | 1422.6415 | 1427.2227 | 1429.6496 | 1432.0648 | 1434.8795 | 1438.9937
1439.1941 |
1443.0412 | 1449.0566 | 1451.1628
1452.0755 |
1454.354 | 1467.6661 | 1471.6981 |
| 53 | 1 | G | Q | 1433.3333 | 1437.5124
1437.79435 |
1448.2759 | 1450 | 1454.6693 | 1457.1429 | 1459.8508 | 1462.47335 | 1466.6667
1466.8709 |
1473.8497 | 1476.9231 | 1479.0697
1480 |
1482.3529 | 1495.8904 | 1500 | |||