53ed7/3: Difference between revisions
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Created page with "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 cen7 sharp of 14ed5/2. == Interval..." |
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| Line 1: | Line 1: | ||
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 | 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 == | == Intervals == | ||
| Line 13: | Line 13: | ||
!''ed29\24=r¢<sub>v</sub>'' | !''ed29\24=r¢<sub>v</sub>'' | ||
!ed17\14 | !ed17\14 | ||
!14ed5/ | !14ed5/4~ed11\9~ed7/3 | ||
!Golden | !Golden | ||
!ed16\13 | !ed16\13 | ||
Revision as of 21:47, 20 July 2019
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 | ed17\14 | 14ed5/4~ed11\9~ed7/3 | Golden | ed16\13 | ed21\17 | ed5\4=r¢^ | |||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 8x | Ex | W\\ | Wb | Q# | 27.044 | 27.1229
27.1282 |
27.326 | 27.3585 | 27.4633 | 27.5938
27.673 27.6768 |
27.8085 | 27.8665 | 27.9689 | 38.2019 | |
| 2 | 2b | Jb | Ab | Qp | Q# | Wb | 54.08805 | 54.24575
54.2564 |
54.6519 | 54.717 | 54.9865 | 55.1877
55.3459 55.3536 |
55.617 | 55.73295 | 55.93785 | 56.6038 |
| 3 | 9# | F# | W | 81.1321 | 81.3686
81.3846 |
81.9779 | 82.0755 | 82.4798 | 82.7815
83.0189 83.0304 |
83.42545 | 83.5994 | 83.9068 | 84.9057 | |||
| 4 | 3bb | Abb | Bbb | Ex | Ebb | W# | 108.1761 | 108.4915
108.5128 |
109.3838 | 109.434 | 109.97305 | 110.37525
110.6918 110.7073 |
111.2339 | 111.4659 | 111.8757 | 113.20755 |
| 5 | 1# | G# | Wp | W# | Eb | 135.2001 | 135.6144
135.641 |
136.6298 | 136.79245 | 137.1661 | 137.9692
138.3648 138.38405 |
139.0424 | 139.3324 | 139.8776 | 141.5094 | |
| 6 | 8*/4bbb | E* | E\\ | Eb | E | 162.26415 | 162.7373
162.7692 |
163.9558 | 164.1509 | 164.9696 | 165.563
166.0377 166.0609 |
166.8509 | 167.1988 | 167.8135 | 169.8113 | |
| Bbbb | Cbbb | |||||||||||||||
| 7 | 2 | J | A | Wpp | Wx | E#/Rb | 189.3082 | 189.8601
189.8971 |
191.3817 | 191.5094 | 192.4528 | 193.1569
193.7107 193.7377 |
194.6594 | 195.0653 | 195.7825 | 198.1132 |
| 8 | 9x | Fx | E | R | 216.3522 | 216.983
217.0256 |
218.6077 | 215.8679 | 219.946 | 220.7507
221.38365 221.4145 |
222.4679 | 222.9319 | 223.7514 | 226.4151 | ||
| 9 | 3b | Ab | Bb | R\\ | Rb | R# | 243.3962 | 244.1059
244.1538 |
245.9336 | 248.2264 | 247.43935 | 248.3445
249.0566 249.0913 |
250.2764 | 250.7983 | 254.7203 | 254.717 |
| 10 | 1x | Gx | Ep | E# | Tb | 270.44025 | 271.2286
271.28195 |
273.2596 | 273.5849 | 274.9326 | 275.9384
276.7296 276.7681 |
278.08185 | 278.9957 | 279.6892 | 283.0289 | |
| 11 | 4bb | Bbb | Cbb | R | T | 297.4842 | 298.3516
298.41015 |
300.5856 | 300.9434 | 302.4259 | 303.5322
304.4025 304.4449 |
305.8933 | 306.5312 | 307.6582 | 311.32075 | |
| 12 | 2# | J# | A# | T\\ | Tb | T# | 324.5283 | 325.4745
325.5384 |
327.9115 | 328.3019 | 329.9191 | 331.126
332.0755 332.1217 |
333.7208 | 334.3977 | 335.6271 | 339.6226 |
| 13 | 9*/5bb | F* | Rp | R# | Yb | 351.5723 | 652.5974
352.6665 |
355.2375 | 355.6605 | 357.4124 | 358.7199
359.7484 359.7985 |
361.8103 | 362.26415 | 363.596 | 367.9243 | |
| Cbb | Qbb | |||||||||||||||
| 14 | 3 | A | B | T | Y | 378.61635 | 379.7203
379.7947 |
382.5634 | 383.0189 | 384.9057 | 386.3137
387.4214 387.4753 |
389.3188 | 390.1306 | 391.5649 | 396.2264 | |
| 15 | 1*/6bbb | G* | A\\ | Ab | Y# | 405.6604 | 406.8431
416.9229 |
409.8894 | 410.3774 | 412.3989 | 413.9076
415.0943 415.1521 |
417.1273 | 417.9971 | 419.53385 | 424.5283 | |
| Qbbb | Dbbb | |||||||||||||||
| 16 | 4b | Bb | Cb | Tp | T# | Ab | 432.7044 | 433.966
434.0511 |
437.21535 | 437.73585 | 439.8922 | 441.5014
442.7673 442.82895 |
444.93575 | 445.8636 | 447.5028 | 452.8302 |
| 17 | 2x | Jx | Ax | A | U | 459.7484 | 461.0889
461.1793 |
464.5413 | 465.0943 | 467.3854 | 469.0952
470.44025 470.8058 |
472.7442 | 473.73 | 475.4717 | 481.1321 | |
| 18 | 5b | Cb | Qb | Sx | Sbb | U# | 486.79245 | 488.2118
488.3078 |
491.8673 | 492.4528 | 494.8788 | 496.5791
498.1132 498.1826 |
500.5527 | 501.5965 | 502.4403 | 509.434 |
| 19 | 3# | A# | B# | Ap | A# | Ab | 513.8365 | 515.33465
515.4357 |
519.1932 | 519.8113 | 522.372 | 524.2829
525.7862 525.8594 |
528.3612 | 529.463 | 531.40955 | 537.73585 |
| 20 | 6bb | Qbb | Dbb | S\\ | Sb | A | 540.8805 | 542.4575
542.5639 |
546.5192 | 547.1698 | 549.8652 | 551.8767
553.4591 553.5362 |
556.1697 | 557.3295 | 559.3785 | 566.0377 |
| 21 | 4 | B | C | App | Ax | A#/Sb | 567.9245 | 569.5804
569.6921 |
573.84515 | 574.5283 | 577.3585 | 579.4706
581.1321 581.213 |
583.9782 | 585.1959 | 584.3474 | 594.3396 |
| 22 | 2*/7bbb | J*/Dbbb | A*/Sbb | S | 594.96855 | 569.7033
596.8203 |
601.1711 | 601.8868 | 604.85175 | 607.0644
608.805 608.889 |
611.7867 | 613.0624 | 615.3163 | 922.6415 | ||
| 23 | 5 | C | Q | D\\ | Db | S# | 622.0126 | 623.82615
623.9484 |
628.4971 | 629.2453 | 632.345 | 634.6582
636.478 636.5666 |
639.59515 | 640.9289 | 643.285 | 650.9434 |
| 24 | 3x | Ax | Bx | Sp | S# | Db | 649.0566 | 650.949
651.0767 |
655.823 | 656.6038 | 659.8383 | 662.2521
664.1509 664.2434 |
667.4306 | 668.7954 | 671.2541 | 679.2453 |
| 25 | 6b | Qb | Db | D | 676.1006 | 678.0719
678.2049 |
683.149 | 683.9623 | 687.3315 | 689.8459
691.8239 691.9202 |
695.2121 | 696.6618 | 699.2231 | 707.5472 | ||
| 26 | 4# | B# | C# | F\\ | Fb | D# | 703.14465 | 705.1948
705.3331 |
710.47495 | 711.32075 | 714.8248 | 717.43975
719.4969 719.59705 |
723.0206 | 724.5283 | 727.192 | 735.8491 |
| 27 | 7bb | Dbb | Sbb | Dp | D# | Fb | 730.1887 | 732.3177
732.4613 |
737.8003 | 738.67925 | 742.3181 | 745.0336
747.1698 747.2739 |
750.8291 | 752.3948 | 755.1609 | 764.1509 |
| 28 | 5# | C# | Q# | F | 757.2327 | 759.4405
759.5895 |
765.1269 | 766.0377 | 769.8113 | 772.6274
774.8428 774.9507 |
778.6376 | 780.26125 | 783.1299 | 792.4528 | ||
| 29 | 3*/8bbb | A* | Bx | G\\ | Gb | F# | 784.2767 | 786.5634
786.4177 |
792.7\4528 | 793.3962 | 797.3046 | 800.2213
802.5157 802.6275 |
803.44605 | 808.1277 | 811.0988 | 820.7547 |
| Ebbb | ||||||||||||||||
| 30 | 6 | Q | D | Fp | F# | Gb | 811.32075 | 813.6863
813.8459 |
819.7788 | 820.7547 | 821.7978 | 827.8151
830.1887 830.3043 |
834.2545 | 835.9942 | 839.0678 | 849.0567 |
| 31 | 4x | Bx | Cx | G | 838.3648 | 840.8092
840.97405 |
847.10475 | 848.1132 | 852.2911 | 855.4089
857.8616 857.9811 |
862.063 | 863.8607 | 867.0366 | 877.3585 | ||
| 32 | 7b | Db | Sb | Zx | Zbb | G# | 865.4088 | 867.932
868.10225 |
874.4307 | 875.4717 | 879.7844 | 883.0028
885.5346 885.6579 |
889.8715 | 891.7271 | 895.00555 | 905.6604 |
| 33 | 5x | Cx | Qx | Gp | G# | Hb | 892.4528 | 895.0549
895.23045 |
901.7567 | 902.8302 | 907.3776 | 910.5966
913.20755 913.3347. |
917.68 | 919.5936 | 922.9745 | 933.9633 |
| 34 | 8bb | Ebb | Z\\ | Zb | H | 919.4969 | 922.1778
922.3586 |
929.0826 | 930.1887 | 934.7709 | 938.19045
940.8805 941.0115 |
945.4885 | 947.4601 | 980.9434 | 962.26415 | |
| 35 | 6# | Q# | D# | Gpp | Gx | H# | 946.5409 | 949.3007
949.4868 |
956.4086 | 957.5472 | 962.26415 | 955.7843
968.5535 968.6883 |
973.297 | 975.3266 | 978.9123 | 990.566 |
| 36 | 4*/9bbb | B* | C* | Z | Jb | 973.5489 | 976.4235
976.615 |
983.73455 | 984.9057 | 989.7574 | 993.3781
996.2264 996.3651 |
1001.10545 | 1003.193 | 1006.7712 | 1018.8679 | |
| Fbbb | ||||||||||||||||
| 37 | 7 | D | S | X\\ | Z# | J | 1000.6289 | 1003.5464
1003.7432 |
1011.0605 | 1012.26415 | 1017.2057 | 1020.972
1023.8994 1024.04195 |
1028.9139 | 1031.0595 | 1034.8502 | 1047.1698 |
| 38 | 5*/1bbb | C* | Q* | Zp | Xb | J# | 1027.673 | 1030.6693
1030.8714 |
1038.3865 | 1039.6226 | 1044.7439 | 1048.5658
1051.5723 1051.7188 |
1056.7224 | 1058.926 | 1062.8191 | 1075.4717 |
| Gbbb | ||||||||||||||||
| 39 | 8b | Eb | X | Zb | 1054.717 | 1057.7922
1057.9996 |
1065.7124 | 1066.9811 | 1072.2372 | 1076.1596
1079.2453 1079.3956 |
1084.5309 | 1086.79245 | 1090.788 | 1103.7736 | ||
| 40 | 6x | Qx | Dx | C\\ | X# | Z | 1081.761 | 1084.91505
1085.1278 |
1093.3038 | 1094.3396 | 1099.7305 | 1103.7535
1106.9182 1107.0724 |
1112.3394 | 1114.6589 | 1118.7569 | 1132.0755 |
| 41 | 9bb | Fbb | Xp | Cb | Z#/Xb | 1108.805 | 1112.0379
1112.256 |
1120.36435 | 1121.6981 | 1127.2237 | 1131.3473
1134.5912 1134.7492 |
1140.1479 | 1142.5254 | 1146.7259 | 1160.3774 | |
| 42 | 7# | D# | S# | C | X | 1135.8491 | 1139.1608
1139.3842 |
1147.6903 | 1149.0566 | 1154.717 | 1158.99411
1162.26415 1162.426 |
1167.95365 | 1170.3919 | 1174.6948 | 1188.67925 | |
| 43 | 1bb | Gbb | V\\ | C# | X# | 1162.8931 | 1166.2838
1166.5124 |
1175.0163 | 1176.4151 | 1182.2102 | 1186.535
1189.9371 1190.1028 |
1195.7648 | 1198.25835 | 1202.6638 | 1216.9811 | |
| 44 | 8 | E | Cp | Vb | Cb | 1189.9371 | 1193.40655
1193.6406 |
1202.3422 | 1203.7736 | 1209.7035 | 1214.1288
1217.6101 1217.7796 |
1223.5733 | 1226.1248 | 1230.6326 | 1245.283 | |
| 45 | 6*/2bbb | Q*/Jbbb | D*/Abbb | V | C | 1216.9811 | 1220.5291
1220.7688 |
1229.6682 | 1231.1321 | 1237.7197 | 1241.72265
1245.253 1245.4564 |
1251.3818 | 1253.9913 | 1258.60155 | 1273.5849 | |
| 46 | 9b | Fb | Bx | Bbb | C#/Vb | 1244.0252 | 1247.6523
1247.897 |
1256.9941 | 1258.4906 | 1264.69 | 1269.3165
1272.956 1273.1332 |
1279.1903 | 1281.8578 | 1286.5705 | 1301.8868 | |
| 47 | 7x | Dx | Sx | Vp | V# | V | 1271.0692 | 1274.7752
1275.0252 |
1284.3201 | 1285.8461 | 1292.1833 | 1296.99103
1300.6289 1300.81005 |
1306.9988 | 1309.7242 | 1314.5394 | 1330.1887 |
| 48 | 1b | Gb | B\\ | Bb | V# | 1298.1132 | 1301.8981
1302.1534 |
1311.646 | 1313.20755 | 1319.67655 | 1324.5042
1328.3019 1328.4869 |
1334.8073 | 1337.5927 | 1342.5083 | 1358.4906 | |
| 49 | 8# | E# | Vpp | Vx | Bb | 1325.1572 | 1326.0209
1329.2816 |
1338.972 | 1340.566 | 1347.1698 | 1352.098
1355.9748 1356.11637 |
1362.6157 | 1365.4572 | 1370.4773 | 1386.79245 | |
| 50 | 2bb | Jbb | Abb | B | 1352.20125 | 1356.1438
1356.4098 |
1366.298 | 1367.9245 | 1374.5531 | 1379.6918
1383.6478 1383.8405 |
1390.4242 | 1393.3237 | 1398.4462 | 1415.0943 | ||
| 51 | 9 | F | Q\\ | Qb | B# | 1379.2453 | 1383.3667
1383.538 |
1393.6239 | 1395.286 | 1402.1563 | 1407.2857
1411.3208 1411.5173 |
1418.2327 | 1421.1*01 | 1426.4151 | 1443.3962 | |
| 52 | 7*/3bbb | D*/Abbb | S*/Bbbb | Bp | B# | Qb | 1403.2893 | 1410.3896
1410.6662 |
1420.9499 | 1422.6415 | 1429.6496 | 1434.8795
1438.9937 1439.1941 |
1443.0412 | 1449.0566 | 1424.354 | 1471.6981 |
| 53 | 1 | G | Q | 1433.3333 | 1437.5124
1437.79435 |
1448.2759 | 1450 | 1457.1429 | 1466.6617
1466.8709 |
1473.8497 | 1476.9231 | 1482.3529 | 1500 | |||