8ed16/15
Delta scale is the equal division of the classic diatonic semitone (16/15) into eight parts of 13.9664 cents each, corresponding to 85.9204 edo. It is inconsistent to the 5-limit and higher limit, as 3/2, 5/4, and 6/5 fall on the 50th, 28th, and 23rd steps in the best direct mapping, respectively.
Intervals
| degree | cents value | corresponding JI intervals | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 72ED25/14 | 86EDO | 8ED16/15 | 222ED6 | 136ED3 | 75ED11/6 | 50EDF | 171ED4 | 85EDO | ||
| 0 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | exact 1/1 |
| 1 | 13.942 | 13.9535 | 13.966 | 13.973 | 13.985 | 13.9915 | 14.039 | 14.118 | 126/125 | |
| 2 | 27.883 | 27.907 | 27.933 | 27.946 | 27.970 | 27.983 | 28.078 | 28.235 | 64/63 | |
| 3 | 41.825 | 41.8605 | 41.899 | 41.918 | 41.955 | 41.975 | 42.117 | 42.353 | 128/125, 169/165, 165/161 | |
| 4 | 55.767 | 55.814 | 55.866 | 55.891 | 55.940 | 55.966 | 56.156 | 56.471 | 95/92 | |
| 5 | 69.708 | 69.767 | 69.832 | 69.864 | 69.925 | 69.958 | 70.1955 | 70.588 | 51/49, 25/24 | |
| 6 | 83.650 | 83.721 | 83.798 | 83.837 | 83.910 | 83.949 | 84.235 | 84.706 | 85/81, 21/20 | |
| 7 | 97.592 | 97.674 | 97.765 | 97.809 | 97.895 | 97.941 | 98.274 | 98.8235 | 55/52, 128/121, 91/86 | |
| 8 | 111.534 | 111.628 | 111.731 | 111.782 | 111.880 | 111.932 | 112.313 | 112.941 | 16/15 | |
| 9 | 125.475 | 125.581 | 125.698 | 125.755 | 125.865 | 125.924 | 126.352 | 127.059 | 14/13 | |
| 10 | 139.417 | 139.535 | 139.664 | 139.728 | 139.850 | 139.915 | 140.391 | 141.1765 | 13/12 | |
| 11 | 153.359 | 153.488 | 153.631 | 153.700 | 153.835 | 153.907 | 154.43 | 155.294 | 59/54, 47/43, 35/32 | |
| 12 | 167.3 | 167.442 | 167.597 | 167.673 | 167.820 | 167.898 | 168.469 | 169.412 | 76/69, 65/59 | |
| 13 | 181.242 | 181.395 | 181.563 | 181.646 | 181.805 | 181.890 | 182.508 | 183.529 | 10/9 | |
| 14 | 195.184 | 195.349 | 195.530 | 195.619 | 195.789 | 195.881 | 196.547 | 197.647 | 28/25 | |
| 15 | 209.125 | 209.302 | 209.496 | 209.592 | 209.774 | 209.873 | 210.5865 | 211.765 | 44/39, 35/31 | |
| 16 | 223.067 | 223.256 | 223.463 | 223.564 | 223.759 | 223.864 | 224.626 | 225.882 | 33/29 | |
| 17 | 237.009 | 237.209 | 237.429 | 237.537 | 237.744 | 237.856 | 238.665 | 240 | 39/34 (pseudo-8/7) | |
| 18 | 250.950 | 251.163 | 251.395 | 251.510 | 251.729 | 251.847 | 252.704 | 254.118 | 37/32, 22/19 | |
| 19 | 264.892 | 265.116 | 265.362 | 265.483 | 265.714 | 265.839 | 266.743 | 268.235 | 7/6 | |
| 20 | 278.834 | 279.070 | 279.328 | 279.455 | 279.699 | 279.830 | 280.78 | 282.353 | 27/23, 47/40, 20/17 | |
| 21 | 292.775 | 293.023 | 293.295 | 293.428 | 293.684 | 293.822 | 294.821 | 296.353 | 45/38, 77/65, 32/27 | |
| 22 | 306.717 | 306.977 | 307.261 | 307.401 | 307.669 | 307.813 | 308.86 | 310.588 | 80/67, 43/36 | |
| 23 | 320.659 | 320.930 | 321.227 | 321.374 | 321.654 | 321.805 | 322.899 | 324.706 | 65/54 (pseudo-6/5) | |
| 24 | 334.601 | 334.884 | 335.194 | 335.346 | 335.639 | 335.796 | 336.938 | 338.8235 | 17/14 | |
| 25 | 348.542 | 348.837 | 349.160 | 349.319 | 349.624 | 349.788 | 350.9775 | 352.941 | 11/9, 104/85, 60/49 | |
| 26 | 362.484 | 362.791 | 363.127 | 363.292 | 363.609 | 363.779 | 365.017 | 367.059 | 37/30 | |
| 27 | 376.426 | 376.744 | 377.093 | 377.265 | 377.594 | 377.771 | 379.056 | 381.1765 | 46/37, 97/78 | |
| 28 | 390.367 | 390.698 | 391.059 | 391.238 | 391.579 | 391.762 | 393.095 | 395.294 | 94/75, 89/71 (pseudo-5/4) | |
| 29 | 404.309 | 404.651 | 405.026 | 405.210 | 405.564 | 405.754 | 407.134 | 409.412 | 24/19, 91/72 | |
| 30 | 418.251 | 418.605 | 418.992 | 419.183 | 419.549 | 419.745 | 421.173 | 423.529 | 14/11, 65/51, 51/40 | |
| 31 | 432.192 | 432.558 | 432.959 | 433.156 | 433.534 | 433.737 | 435.212 | 437.647 | 104/81, 113/88, 122/95, 9/7 | |
| 32 | 446.134 | 446.512 | 446.925 | 447.129 | 447.519 | 447.728 | 449.251 | 451.765 | 22/17 | |
| 33 | 460.076 | 460.465 | 460.892 | 461.101 | 461.504 | 461.720 | 463.29 | 465.882 | 17/13 | |
| 34 | 474.017 | 474.419 | 474.858 | 475.074 | 475.489 | 475.711 | 477.329 | 480 | ||
| 35 | 487.959 | 488.372 | 488.824 | 489.047 | 489.474 | 489.703 | 491.3685 | 494.118 | ||
| 36 | 501.901 | 502.326 | 502.791 | 503.020 | 503.459 | 503.694 | 505.408 | 508.235 | ||
| 37 | 515.842 | 516.279 | 516.757 | 516.993 | 517.444 | 517.686 | 519.448 | 522.353 | ||
| 38 | 529.784 | 530.233 | 530.724 | 530.965 | 531.429 | 531.677 | 533.486 | 536.471 | ||
| 39 | 543.726 | 544.186 | 544.690 | 544.938 | 545.414 | 545.669 | 547.525 | 550.558 | ||
| 40 | 557.668 | 558.140 | 558.656 | 558.911 | 559.399 | 559.660 | 561.564 | 564.706 | ||
| 41 | 571.609 | 572.093 | 572.623 | 572.884 | 573.383 | 573.652 | 575.603 | 578.8235 | ||
| 42 | 585.551 | 586.047 | 586.589 | 586.856 | 587.368 | 587.643 | 589.642 | 592.941 | 7/5 | |
| 43 | 599.493 | 600.000 | 600.556 | 600.829 | 601.353 | 601.635 | 603.681 | 606.059 | 17/12 | |
| 44 | 613.434 | 613.953 | 614.522 | 614.802 | 615.338 | 615.626 | 617.72 | 620.1765 | ||
| 45 | 627.376 | 627.907 | 628.488 | 628.775 | 629.323 | 629.618 | 631.7595 | 635.294 | ||
| 46 | 641.318 | 641.860 | 642.455 | 642.747 | 643.308 | 643.609 | 645.799 | 649.412 | ||
| 47 | 655.259 | 655.814 | 656.421 | 656.720 | 657.293 | 657.601 | 659.838 | 663.519 | ||
| 48 | 669.201 | 669.767 | 670.388 | 670.693 | 671.278 | 671.592 | 673.877 | 677.647 | ||
| 49 | 683.143 | 683.721 | 684.354 | 684.666 | 685.263 | 685.584 | 687.916 | 691.765 | ||
| 50 | 697.084 | 697.674 | 698.321 | 698.639 | 699.248 | 699.575 | 701.955 | 705.882 | 3/2 | |
| 51 | 711.026 | 711.628 | 712.287 | 712.611 | 713.233 | 713.567 | 715.994 | 720 | ||
| 52 | 724.968 | 725.581 | 726.253 | 726.584 | 727.218 | 727.558 | 730.033 | 734.118 | ||
| 53 | 738.909 | 739.535 | 740.220 | 740.557 | 741.203 | 741.550 | 744.072 | 748.235 | ||
| 54 | 752.851 | 753.488 | 754.186 | 754.530 | 755.188 | 755.541 | 758.111 | 762.353 | ||
| 55 | 766.793 | 767.442 | 768.153 | 768.502 | 769.173 | 769.533 | 772.1505 | 776.471 | ||
| 56 | 780.735 | 781.395 | 782.119 | 782.475 | 783.158 | 783.524 | 786.19 | 790.588 | ||
| 57 | 794.676 | 795.349 | 796.085 | 796.448 | 797.143 | 797.516 | 800.229 | 804.706 | ||
| 58 | 808.618 | 809.302 | 810.052 | 810.421 | 811.128 | 811.507 | 814.268 | 818.8235 | 8/5 | |
| 59 | 822.560 | 823.256 | 824.018 | 824.393 | 825.113 | 825.499 | 828.307 | 832.941 | ||
| 60 | 836.501 | 837.209 | 837.985 | 838.366 | 839.098 | 839.490 | 842.346 | 847.059 | 13/8 | |
| 61 | 850.443 | 851.163 | 851.951 | 852.339 | 853.083 | 853.482 | 856.385 | 861.1765 | ||
| 62 | 864.385 | 865.116 | 865.917 | 866.312 | 867.068 | 867.473 | 870.424 | 875.294 | ||
| 63 | 878.326 | 879.070 | 879.884 | 880.285 | 881.053 | 881.465 | 884.463 | 889.412 | 5/3 | |
| 64 | 892.268 | 893.023 | 893.850 | 894.257 | 895.038 | 895.456 | 898.502 | 903.529 | ||
| 65 | 906.210 | 906.977 | 907.817 | 908.230 | 909.023 | 909.448 | 912.5415 | 917.647 | ||
| 66 | 920.151 | 920.930 | 921.783 | 922.203 | 923.008 | 923.439 | 926.581 | 931.1765 | ||
| 67 | 934.093 | 934.884 | 935.750 | 936.176 | 936.993 | 937.431 | 940.692 | 945.882 | ||
| 68 | 948.035 | 948.837 | 949.716 | 950.148 | 950.978 | 951.422 | 954.659 | 960 | ||
| 69 | 961.976 | 962.791 | 963.682 | 964.121 | 964.962 | 965.414 | 968.698 | 974.118 | 7/4 | |
| 70 | 975.918 | 976.744 | 977.649 | 978.094 | 978.947 | 979.405 | 982.737 | 988.235 | ||
| 71 | 989.860 | 990.698 | 991.615 | 992.067 | 992.932 | 993.397 | 996.776 | 1002.353 | 16/9 | |
| 72 | 1003.802 | 1004.651 | 1005.582 | 1006.039 | 1006.917 | 1007.388 | 1010.815 | 1016.471 | 25/14 | |
| 73 | 1017.743 | 1018.605 | 1019.548 | 1020.012 | 1020.902 | 1021.380 | 1024.854 | 1030.588 | 9/5 | |
| 74 | 1031.685 | 1032.558 | 1033.514 | 1033.985 | 1034.887 | 1035.371 | 1038.893 | 1044.706 | ||
| 75 | 1045.627 | 1046.512 | 1047.481 | 1047.958 | 1048.872 | 1049.363 | 1052.9325 | 1058.8235 | 11/6 | |
| 76 | 1059.568 | 1060.465 | 1061.447 | 1061.931 | 1062.857 | 1063.354 | 1063.972 | 1072.941 | ||
| 77 | 1073.510 | 1074.419 | 1075.414 | 1075.903 | 1076.842 | 1077.346 | 1081.011 | 1087.059 | 28/15 | |
| 78 | 1087.452 | 1088.372 | 1089.380 | 1089.876 | 1090.827 | 1091.337 | 1095.05 | 1101.1765 | 15/8 | |
| 79 | 1101.393 | 1102.326 | 1103.346 | 1103.849 | 1104.812 | 1105.329 | 1109.089 | 1115.294 | ||
| 80 | 1115.335 | 1116.279 | 1117.313 | 1117.822 | 1118.797 | 1119.320 | 1123.128 | 1129.412 | ||
| 81 | 1129.277 | 1130.233 | 1131.279 | 1131.794 | 1132.782 | 1133.312 | 1137.167 | 1143.529 | ||
| 82 | 1143.218 | 1144.186 | 1145.246 | 1145.767 | 1146.767 | 1147.303 | 1151.206 | 1157.647 | ||
| 83 | 1157.160 | 1158.140 | 1159.212 | 1159.740 | 1160.752 | 1161.295 | 1165.245 | 1171.765 | ||
| 84 | 1171.102 | 1172.093 | 1173.178 | 1173.713 | 1174.737 | 1175.286 | 1179.284 | 1185.882 | ||
| 85 | 1185.043 | 1186.047 | 1187.145 | 1187.685 | 1188.722 | 1189.278 | 1193.3235 | 1200 | ||
| 86 | 1198.985 | 1200.000 | 1201.111 | 1201.658 | 1202.707 | 1203.270 | 1207.363 | 1214.118 | 2/1 | |
| 87 | 1212.927 | 1213.9535 | 1215.078 | 1215.631 | 1216.692 | 1217.261 | 1221.402 | 1228.235 | ||
| 88 | 1126.8685 | 1227.907 | 1229.044 | 1229.604 | 1230.677 | 1231.2525 | 1235.441 | 1242.353 | ||
| 89 | 1240.81 | 1241.8605 | 1243.0105 | 1243.577 | 1244.662 | 1245.244 | 1249.48 | 1256.471 | ||
| 90 | 1254.752 | 1255.814 | 1256.698 | 1257.549 | 1258.647 | 1259.2355 | 1263.519 | 1270.588 | ||
| 91 | 1268.694 | 1269.767 | 1270.943 | 1271.522 | 1272.632 | 1273.227 | 1277.558 | 1284.706 | ||
| 92 | 1282.635 | 1283.721 | 1284.91 | 1285.495 | 1286.617 | 1287.2185 | 1291.597 | 1298.8235 | ||
| 93 | 1296.577 | 1297.674 | 1298.876 | 1299.468 | 1300.602 | 1301.21 | 1305.636 | 1312.941 | ||
| 94 | 1310.519 | 1311.628 | 1312.426 | 1314.404 | 1314.5865 | 1315.202 | 1319.675 | 1327.059 | ||
| 95 | 1324.46 | 1325.581 | 1326.809 | 1327.413 | 1328.5715 | 1329.193 | 1333.7145 | 1341.1765 | ||
| 96 | 1338.402 | 1339.535 | 1340.775 | 1341.386 | 1342.5565 | 1343.185 | 1347.754 | 1355.294 | ||
| 97 | 1352.344 | 1353.488 | 1354.742 | 1355.358 | 1356.414 | 1357.176 | 1361.793 | 1369.412 | ||
| 98 | 1366.285 | 1367.442 | 1368.708 | 1369.3315 | 1370.526 | 1371.168 | 1375.832 | 1383.529 | ||
| 99 | 1380.227 | 1381.395 | 1382.675 | 1383.304 | 1384.511 | 1385.159 | 1389.871 | 1397.647 | 20/9 | |
| 100 | 1394.169 | 1395.349 | 1396.641 | 1397.277 | 1398.496 | 1399.151 | 1403.91 | 1411.765 | 9/4 | |