User:Moremajorthanmajor/8edX
This is the neutral scale of the Vesuvius temperament family.
Intervals
| Degrees | Minor mode Vesuvius temperament | Neutral mode Vesuvius temperament | Major mode Vesuvius 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 | 180 | 183.333 | 187.5 | 190.909 | 192.857 | 195 | 196.875 | 200 | 201.724 | 206.897 | 210 | |||||||||
| 2 | 360 | 366.667 | 375 | 381.818 | 385.714 | 390 | 393.75 | 400 | 403.448 | 413.793 | 420 | |||||||||
| 3 | 540 | 550 | 562.5 | 572.727 | 578.571 | 585 | 590.625 | 600 | 605.172 | 620.69 | 630 | |||||||||
| 4 | 720 | 733.333 | 750 | 763.636 | 771.429 | 780 | 787.5 | 800 | 806.897 | 827.586 | 840 | |||||||||
| 5 | 900 | 916.667 | 937.5 | 954.5455 | 964.286 | 975 | 984.375 | 1000 | 1008.621 | 1034.483 | 1050 | |||||||||
| 6 | 1080 | 1100 | 1125 | 1145.4545 | 1157.143 | 1170 | 1181.25 | 1200 | 1210.345 | 1241.379 | 1260 | |||||||||
| 7 | 1260 | 1283.333 | 1312.5 | 1336.364 | 1350 | 1365 | 1378.125 | 1400 | 1412.069 | 1448.276 | 1470 | |||||||||
Most harmonic tunings
| Degrees | Minor mode Vesuvius temperament | Neutral mode Vesuvius temperament | Major mode Vesuvius temperament |
|---|---|---|---|
| 7/3±13¢ | 22/9±13¢ | 5/2±13¢ | |
| 1 | 181.734-184.984 | 191.801-195.051 | 196.664-199.914 |
| 2 | 363.468-396.968 | 383.602-390.102 | 393.328-399.828 |
| 3 | 545.202-554.952 | 575.403-585.153 | 589.993-599.743 |
| 4 | 726.9355-739.9355 | 767.204-780.204 | 786.657-799.657 |
| 5 | 908.669-922.919 | 959.005-973.255 | 983.321-997.571 |
| 6 | 1090.403-1109.903 | 1150.806-1170.306 | 1179.985-1199.485 |
| 7 | 1272.137-1294.387 | 1342.607-1365.357 | 1376.6495-1399.3995 |
Golden tunings
Minor mode Vesuvius temperament
| Degrees | Aeolian-Dorian | Dorian | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| -13¢ | Mean | -13¢ (s5D) | Subpental | Pental | Superpental | |||||||
| +13¢ (A-D) | Mean | +13¢ | -13¢ | -13¢ (S5) | Mean | Mean | +13¢ (5) | -13¢ (D-M) | ||||
| 1 | 180.856 | 182.481 | 182.606 | 184.106 | 184.231 | 185.856 | 188.2585 | 189.834 | 190.2835 | 191.459 | 191.9085 | 192.728 |
| 2 | 361.712 | 364.962 | 365.212 | 367.213 | 368.462 | 371.712 | 377.317 | 379.668 | 380.567 | 382.918 | 383.817 | 385.456 |
| 3 | 542.569 | 547.444 | 547.819 | 552.319 | 552.694 | 557.569 | 565.974 | 569.502 | 570.851 | 574.377 | 575.726 | 578.184 |
| 4 | 723.425 | 729.925 | 730.425 | 736.425 | 736.925 | 743.425 | 754.634 | 759.336 | 761.134 | 765.836 | 767.634 | 770.912 |
| 5 | 904.282 | 912.407 | 913.031 | 920.532 | 921.156 | 929.281 | 943.293 | 949.17 | 951.418 | 957.295 | 959.543 | 963.6935 |
| 6 | 1085.138 | 1094.888 | 1095.637 | 1104.638 | 1105.387 | 1115.137 | 1131.957 | 1139.004 | 1141.701 | 1148.753 | 1151.451 | 1156.367 |
| 7 | 1265.9945 | 1277.3695 | 1278.2435 | 1288.7445 | 1289.6185 | 1300.9935 | 1320.61 | 1328.838 | 1331.985 | 1340.213 | 1343.36 | 1349.095 |
Neutral (Dorian-Mixolydian) mode Vesuvius temperament
| Degrees | +13¢ (S5D) | Mean | -13¢ (s5M) |
|---|---|---|---|
| 1 | 193.084 | 194.353 | 194.7275 |
| 2 | 386.168 | 388.706 | 389.455 |
| 3 | 579.252 | 583.059 | 584.183 |
| 4 | 771.336 | 777.412 | 779.41 |
| 5 | 965.42 | 971.7645 | 973.638 |
| 6 | 1158.503 | 1166.117 | 1168.365 |
| 7 | 1351.588 | 1360.47 | 1363.093 |
Major mode Vesuvius temperament
| Degrees | Mixolydian | Mixolydian-Ionian | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Subpental | Pental | Superpental | Mean | +13¢ | |||||||||||
| -13¢ (5) | +13¢ (D-M) | Mean | Mean | +13¢ (s5) | +13¢ | -13¢ (Soft s5) | Soft | Intense | |||||||
| +13¢ (Soft s5) | -13¢ | Mean | -13¢ (M-I) | +13¢ (Int S5M) | |||||||||||
| 1 | 195.5745 | 195.978 | 196.3525 | 197.1995 | 197.9775 | 198.8245 | 199.9955 | 201.6205 | 203.2455 | 203.296 | 204.921 | 205.57 | 206.546 | 207.195 | 208.82 |
| 2 | 391.149 | 391.956 | 392.705 | 394.399 | 395.955 | 397.649 | 399.991 | 403.241 | 406.491 | 406.592 | 409.842 | 411.141 | 413.092 | 414.391 | 417.641 |
| 3 | 586.724 | 587.934 | 589.058 | 591.599 | 593.933 | 596.474 | 599.987 | 604.862 | 609.737 | 609.888 | 614.763 | 616.711 | 691.638 | 621.586 | 626.461 |
| 4 | 782.298 | 783.912 | 785.41 | 788.798 | 791.91 | 795.298 | 799.982 | 806.482 | 812.982 | 813.1835 | 819.6835 | 822.282 | 826.1835 | 828.782 | 835.282 |
| 5 | 977.872 | 979.8895 | 981.763 | 985.998 | 989.888 | 994.123 | 999.978 | 1008.103 | 1016.228 | 1016.479 | 1024.604 | 1027.852 | 1032.729 | 1035.977 | 1044.102 |
| 6 | 1173.447 | 1175.867 | 1178.115 | 1183.197 | 1189.865 | 1192.947 | 1199.973 | 1209.723 | 1219.473 | 1219.775 | 1229.525 | 1233.422 | 1239.275 | 1243.172 | 1252.922 |
| 7 | 1369.022 | 1371.845 | 1374.468 | 1380.397 | 1385.843 | 1391.772 | 1399.968 | 1411.344 | 1422.719 | 1423.071 | 1434.446 | 1438.993 | 1445.821 | 1450.368 | 1461.743 |