User:Moremajorthanmajor/8edX

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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
2 363.468-369.968 383.602-390.102 393.328-399.828
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
5 908.669-922.919 959.005-975.255 983.321-999.571
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±13¢

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
1 180.856-184.106 182.606-185.856 188.2585-191.9085 189.834-193.084 192.728-195.978 194.7275-197.9775 195.5745-198.8245 199.9955-203.2455 203.296-206.546 205.57-208.82
2 361.712-368.213 365.212-371.712 377.317-383.817 379.668-386.168 385.456-391.956 389.455-395.955 391.149-397.649 399.991-406.491 406.592-413.092 411.141-417.641
3 542.569-552.319 547.819-557.569 565.974-575.726 569.502-579.252 578.184-587.934 584.183-593.933 586.724-596.474 599.987-609.737 609.888-619.638 616.711-626.461
4 723.425-736.425 730.425-743.425 754.634-767.634 759.336-772.336 770.912-783.912 779.41-791.91 782.298-795.298 799.982-812.982 813.1835-826.1835 822.282-835.282
5 904.282-920.532 913.031-929.281 943.293-959.543 949.17-965.42 963.6935-979.8895 973.638-989.888 977.872-994.123 999.978-1016.228 1016.479-1032.729 1027.852-1044.102
6 1085.138-1104.638 1095.637-1115.137 1131.951-1151.451 1139.004-1158.503 1156.367-1175.867 1168.365-1189.865 1173.447-1192.947 1199.973-1219.473 1219.775-1239.275 1233.422-1252.922
7 1265.9945-1288.7445 1278.2435-1300.9935 1320.61-1343.36 1328.838-1351.588 1349.095-1371.845 1363.093-1385.843 1369.022-1391.772 1399.968-1422.719 1423.071-1445.821 1438.993-1461.743