User:Moremajorthanmajor/17edX
Intervals
| Degrees | Enneatonic | Minor mode Middletown temperament | Neutral mode Middletown temperament | Major mode Middletown temperament | ||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Aeolian-Dorian | Dorian | Dorian-Mixolydian | Mixolydian | Mixolydian-Ionian | ||||||||||||||||||||
| Subpental | Pental | Superpental | Subpental | Pental | Superpental | |||||||||||||||||||
| Soft | Intense | |||||||||||||||||||||||
| Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | Minimum | Maximum | |||||
| 1 | G | Gb | 84.706 | 86.2745 | 88.235 | 89.84 | 90.756 | 91.765 | 92.647 | 94.118 | 94.929 | 97.363 | 98.8235 | |||||||||||
| 2 | J\\ | A\\ | F# | 169.412 | 172.549 | 176.471 | 179.679 | 181.513 | 183.528 | 185.294 | 188.235 | 189.858 | 194.726 | 197.647 | ||||||||||
| 3 | Gp | G | 254.118 | 258.8235 | 264.706 | 269.519 | 272.268 | 275.294 | 277.941 | 282.353 | 284.787 | 292.089 | 296.471 | |||||||||||
| 4 | J | A | J | A | 338.8235 | 345.098 | 352.941 | 359.358 | 363.025 | 367.059 | 370.588 | 376.471 | 379.716 | 389.452 | 395.294 | |||||||||
| 5 | A | B | Ab | Bb | 423.529 | 431.3725 | 441.1765 | 449.198 | 453.7815 | 458.8235 | 463.235 | 470.588 | 474.645 | 486.815 | 494.118 | |||||||||
| 6 | B\\ | H\\ | J# | A# | 508.235 | 517.647 | 529.412 | 539.037 | 544.538 | 550.588 | 555.882 | 564.706 | 569.574 | 584.1785 | 592.941 | |||||||||
| 7 | Ap | Bp | A | B | 592.941 | 603.921 | 617.647 | 628.877 | 635.394 | 642.353 | 648.529 | 658.8235 | 664.503 | 681.542 | 691.765 | |||||||||
| 8 | B | H | B | H | 677.647 | 690.169 | 705.882 | 718.717 | 726.05 | 734.118 | 741.1765 | 752.941 | 759.432 | 778.905 | 790.588 | |||||||||
| 9 | H | C | Hb | Cb | 762.653 | 776.471 | 794.118 | 808.556 | 816.806 | 825.882 | 833.8235 | 847.059 | 854.361 | 876.268 | 889.412 | |||||||||
| 10 | C\\ | D\\ | B# | H# | 847.059 | 862.745 | 882.353 | 898.396 | 907.563 | 917.647 | 926.471 | 941.1765 | 949.29 | 973.631 | 988.235 | |||||||||
| 11 | Hp | Cp | H | C | 931.765 | 949.02 | 970.588 | 988.235 | 998.319 | 1009.412 | 1019.118 | 1035.294 | 1044.219 | 1070.994 | 1087.059 | |||||||||
| 12 | C | D | C | D | 1016.471 | 1035.294 | 1058.8235 | 1078.075 | 1089.076 | 1101.1765 | 1111.765 | 1129.412 | 1139.148 | 1168.357 | 1185.882 | |||||||||
| 13 | D | S | Db | Sb | 1101.1765 | 1121.569 | 1147.059 | 1167.914 | 1179.832 | 1192.941 | 1204.412 | 1223.529 | 1234.077 | 1265.72 | 1284.706 | |||||||||
| 14 | E | C# | D# | 1185.882 | 1027.843 | 1235.294 | 1257.754 | 1270.588 | 1284.706 | 1297.059 | 1317.647 | 1329.006 | 1363.083 | 1383.529 | ||||||||||
| 15 | F\\ | D | S | 1270.588 | 1294.118 | 1323.529 | 1347.594 | 1361.3445 | 1376.471 | 1389.706 | 1411.765 | 1423.935 | 1460.446 | 1482.352 | ||||||||||
| 16 | Ep | E | 1355.294 | 1380.392 | 1411.765 | 1437.433 | 1452.101 | 1468.235 | 1482.353 | 1505.882 | 1518.864 | 1557.809 | 1581.1765 | |||||||||||
| 17 | F | 1440 | 1466.667 | 1500 | 1527.273 | 1542.857 | 1560 | 1575 | 1600 | 1613.793 | 1655.172 | 1680 | ||||||||||||
Most harmonic tunings
| Degrees | Enneatonic | Minor mode Middletown temperament | Neutral mode Middletown temperament | Major mode Middletown temperament | |||
|---|---|---|---|---|---|---|---|
| 7/3±13¢ | 22/9±13¢ | 5/2±13¢ | |||||
| 1 | G | Gb | 85.522-87.051 | 90.259-91.789 | 92.548-94.077 | ||
| 2 | J\\ | A\\ | F# | 171-044-174.1025 | 180.5185-183.577 | 185.096-188.155 | |
| 3 | Gp | G | 256.5655-261.154 | 270.778-275.366 | 277.644-282.232 | ||
| 4 | J | A | J | A | 342.087-348.205 | 361.037-367.155 | 370.1915-376.309 |
| 5 | A | B | Ab | Bb | 427.609-435.256 | 451.2965-458.9435 | 462.739-470.386 |
| 6 | B\\ | H\\ | J# | A# | 513.131-522.307 | 541.556-550.732 | 555.287-564.464 |
| 7 | Ap | Bp | A | B | 598.653-609.359 | 631.815-642.521 | 647.835-658.541 |
| 8 | B | H | B | H | 684.1745-696.41. | 722.074-734.31 | 740.383-752.618 |
| 9 | H | C | Hb | Cb | 769.696-783.461 | 812.334-826.098 | 832.931-846.6955 |
| 10 | C\\ | D\\ | B# | H# | 855.218-870.512 | 902.593-917.887 | 925.479-940.773 |
| 11 | Hp | Cp | H | C | 940.74-957.5635 | 992.852.1009.676 | 1018.0265-1034.85 |
| 12 | C | D | C | D | 1026.262-1044.615 | 1083.1115-1101.464 | 1110.574-1128.927 |
| 13 | D | S | Db | Sb | 1111.7847-1131.666 | 1173.371-1193.253 | 1203.122-1223.005 |
| 14 | E | C# | D# | 1197.3055-1218.717 | 1353.889-1375.042 | 1295.67-1317.082 | |
| 15 | F\\ | D | S | 1282.827-1305.768 | 1444.149-1466.83 | 1388.218-1411.159 | |
| 16 | Ep | E | 1368.249-1392.82 | 1534.408-1558.619 | 1480.766-1505.236 | ||
| 17 | F | 1453.871-1479.871 | 1534.408-1560.408 | 1573.314-1599.314 | |||
Golden tunings±13¢
| Degrees | Enneatonic | Minor mode Middletown temperament | Neutral mode Middletown temperament | Major mode Middletown temperament | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Aeolian-Dorian | Dorian | Dorian-Mixolydian | Mixolydian | Mixolydian-Ionian | ||||||||||
| Subpental | Pental | Superpental | Subpental | Pental | Superpental | |||||||||
| Soft | Intense | |||||||||||||
| 1 | G | Gb | 85.109-86.638 | 85.932-87.462 | 88.7805-90.6955 | 89.334-90.863 | 90.6955-92.225 | 92.019-93.548 | 92.035-93.5645 | 94.1155-95.645 | 95.669-97.198 | 96.739-98.268 | ||
| 2 | J\\ | A\\ | F# | 170.218-173.277 | 171.865-174.9235 | 177.561-180.62 | 178.667-181.726 | 181.391-184.45 | 184.038-187.139 | 184.07-187.129 | 188.231-191.29 | 191.337-194.396 | 193.478-196.537 | |
| 3 | Gp | G | 255.327-259.915 | 257.797-262.385 | 266.341-270.93 | 268.001-272.589 | 272.086-276.675 | 276.0565-280.645 | 276.105-280.693 | 282.347-286.935 | 287.006-291.594 | 290.217-294.805 | ||
| 4 | J | A | J | A | 340.4355-346.553 | 343.729-349.847 | 355.122-361.2395 | 357.335-363.452 | 362.782-368.9 | 368.075-374.193 | 368.14-374.258 | 376.462-382.58 | 382.675-388.792 | 386.956-393.074 |
| 5 | A | B | Ab | Bb | 425.544-433.1915 | 429.662-437.309 | 442.902-451.5495 | 446.668-454.315 | 453.477-461.1245 | 460.094-467.741 | 460.175-467.822 | 470.578-478.225 | 478.343-485.99 | 483.695-491.342 |
| 6 | B\\ | H\\ | J# | A# | 510.653-519.83 | 515.594-524.7705 | 532.683-541.859 | 536.002-545.178 | 544.173-553.349 | 552.113-561.29 | 552.21-561.387 | 564.693-573.87 | 574.012-583.188 | 580.434-589.6105 |
| 7 | Ap | Bp | A | B | 595.762-606.468 | 601.526-612.232 | 621.463-632.169 | 625.3355-636.041 | 634.869-645.574 | 644.132-654.838 | 644.2455-654.951 | 658.809-669.515 | 669.6805-680.386 | 677.173-687.879 |
| 8 | B | H | B | H | 680.871-693.106 | 687.459-699.694 | 710.244-722.479 | 714.996-726.904 | 725.564-737.8 | 736.151-748.386 | 736.281-748.516 | 752.924-765.16 | 765.349-777.584 | 773.912-783.147 |
| 9 | H | C | Hb | Cb | 765.98-779.745 | 773.391-787.156 | 799.024-812.789 | 804.003-817.768 | 816.259-830.014 | 828.17-841.934 | 828.316-842.08 | 847.04-860.805 | 861.018-874.7852 | 870.416-884.416 |
| 10 | C\\ | D\\ | B# | H# | 851.089-866.383 | 859.323-874.6175 | 887.805-903.099 | 893.336-999.4935 | 906.955-922.249 | 920.1885-935.483 | 920.351-935.645 | 941.155-956.45 | 956.6865-971.9805 | 967.39-982.684 |
| 11 | Hp | Cp | H | C | 936.198-953.021 | 945.256-962.079 | 976.585-993.409 | 982.67-1090.357 | 997.65-1014.474 | 1012.207-1029.031 | 1012.386-1029.209 | 1035.271-1052.0945 | 1052.355-1069.179 | 1064.129-1080.953 |
| 12 | C | D | C | D | 1021.3065-1039.66 | 1031.188-1049.541 | 1065.366-1083.719 | 1072.004-1181.22 | 1088.346-1106.699 | 1104.226-1122.579 | 1104.421-1122.774 | 1129.3865-1147.7395 | 1148.024-1166.377 | 1160.868-1179.221 |
| 13 | D | S | Db | Sb | 1106.415-1186.94 | 1117.12-1137.003 | 1154.146-1174.029. | 1161.337-1272.083 | 1179.041-1198.924 | 1196.245-1216.127 | 1196.456-1216.338 | 1223.502-1243.384 | 1243.692-1263.575 | 1257.607-1277.4895 |
| 14 | E | C# | D# | 1191.524-1212.936 | 1203.052-1224.464 | 1242.927-1264.3385 | 1250.671-1362.946 | 1269.737-1291.1485 | 1288.234-1309.676 | 1288.491-1309.903 | 1317.618-1339.026 | 1339.361-1360.773 | 1354.346-1375.758 | |
| 15 | F\\ | D | S | 1276.633-1299.5745 | 1288.985-1311.926 | 1331.707-1354.648 | 1340.005-1453.809 | 1360.432-1383.373 | 1380.283-1403.224 | 1380.526-1403.467 | 1411.733-1434.674 | 1435.03-1457.97 | 1451.085-1474.026 | |
| 16 | Ep | E | 1361.741-1386.213 | 1374.917-1399.388 | 1420.488-1424.958 | 1426.338-1453.809 | 1451.128-1475.598 | 1472.3015-1496.772 | 1472.561-1497.032 | 1505.849-1530.319 | 1530.698-1555.168 | 1547.824-1572.295 | ||
| 17 | F | 1446.851-1472.851 | 1460.85-1486.85 | 1509.268-1535.268 | 1518.672-1544.672 | 1541.823-1567.823 | 1557.82-1583.82 | 1564.596-1590.596 | 1599.964-1625.964 | 1626.366-1652.366 | 1644.563-1670.563 | |||