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This is the neutral scale of the Vesuvius temperament family.

Intervals

Degrees Intense Aeolian-Subpental Dorian Dorian
Subpental Pental Superpental
Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma
1 175-180 182.143 178.333-188.333 184.615 182.5-192.5 190 185.909-195.909 191.667 192.857-197.857
2 350-360 364.286 356.667-376.667 369.231 365-385 380 371.818-391.818 383.333 385.714-395.714
3 525-540 546-429 535-565 553.846 547.5-577.5 570 557.727-587.727 575 578.571-593.571
4 700-720 728.571 713.333-753.333 738.4615 730-770 760 743.636-783.636 766.667 771.429-791.429
5 875-900 910.714 891.667-941.667 923.071 912.5-962.5 950 929.5455-979.5455 958.333 964.286-989.286
6 1050-1080 1092.857 1070-1130 1107.692 1095-1155 1140 1115.4545-1175.4545 1150 1157.143-1187.143
7 1225-1260 1275 1248.333-1318.333 1292.308 1277.5-1347.5 1330 1301.364-1371.364 1341.667 1350-1385
Degrees Mohajira Beatles
Min-comma Med Max+comma Min-comma Med Max+comma
1 187.857-192.857 193.75 189.118-199.118 194.444 195-200
2 375.714-385.714 387.5 378.235-398.235 388.889 390-400
3 563.571-578.571 581.25 567.353-597.353 583.333 585-600
4 751.429-771.429 775 756.471-796.471 777.778 780-800
5 939.286-964.286 968.75 945.588-995.588 972.222 975-1000
6 1127.143-1157.143 1162.5 1134.706-1194.706 1166.667 1170-1200
7 1315-1350 1356.25 1323.8235-1393.8235 1361.111 1365-1400
Degrees Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma
1 190-195 196.154 191.875-201.875 197.368 195-205 201.5625 196.724-206.724 204.31 201.897-211.897 207.353 210-215
2 380-390 392.308 383.75-403.75 394.737 390-410 403.125 393.448-413.448 408.621 403.793-423.793 414.706 420-430
3 570-585 588.4615 575.625-605.625 592.105 585-615 604.6875 590.172-620.172 612.931 605.69-635.69 622.059 630-645
4 760-780 784.615 767.5-807.5 789.474 780-820 806.25 786.897-826.897 817.241 807.586-847.586 829.412 840-860
5 950-975 980.769 959.375-1008.375 986.842 975-1025 1007.8125 983.621-1033.621 1021.552 1009.483-1059.483 1036.765 1050-1075
6 1140-1170 1176.923 1151.25-1211.25 1184.2105 1170-1230 1209.375 1180.345-1240.345 1225.862 1211.379-1271.379 1244.118 1260-1290
7 1330-1365 1373.077 1343.125-1413.125 1381.579 1365-1435 1410.9375 1377.069-1447.069 1430.172 1413.276-1483.276 1451.471 1470-1505

Relative cents

Degrees Intense Aeolian-Subpental Dorian Dorian Subpental-Soft Superpental Mixolydian Intense Superpental Mixolydian ~ Mixolydian-Ionian
1 181.25 187.5 200 206.25
2 362.5 375 400 412.5
3 543.75 562.5 600 618.75
4 543.75 750 800 825
5 906.25 937.5 1000 1031.25
6 1087.5 1125 1200 1237.5
7 1268.75 1312.5 1400 1443.75

Golden/Pyrite Tunings±13¢

Degrees Intense Aeolian-Subpental Dorian Dorian
Subpental Pental Superpental
1 180.856-184.106 182.606-185.856 188.2585-191.9085 189.834-193.084
2 361.712-368.213 365.212-371.712 377.317-383.817 379.668-386.168
3 542.569-552.319 547.819-557.569 565.974-575.726 569.502-579.252
4 723.425-736.425 730.425-743.425 754.634-767.634 759.336-771.336
5 904.282-920.532 913.031-920.281 943.293-959.543 949.17-965.42
6 1085.138-1104.638 1095.637-1115.137 1131.951-1151.451 1139.004-1158.503
7 1265.9945-1288.7445 1278.2435-1300.9935 1320.61-1343.36 1328.838-1351.588
Degrees Mohajira Beatles
1 192.237-195.487 192.728-195.978
2 384.474-390.974 385.456-391.956
3 576.711-585.961 578.184-587.934
4 768.948-781.948 770.912-783.912
5 961.185-977.435 963.6395-979.8895
6 1153.422-1172.921 1156.367-1175.867
7 1345.659-1368.409 1349.095-1372.345
Degrees Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
1 194.7275-197.9775 195.5745-198.8245 199.9955-203.2455 203.296-206.546 205.57-208.82
2 389.455-395.955 391.149-397.649 399.991-406.491 406.592-413.092 411.141-417.641
3 584.183-593.933 586.724-596.474 599.987-609.737 609.888-619.638 616.711-626.461
4 778.91-791.91 782.298-795.298. 799.982-812.982 813.1835-826.1835 822.282-835.282
5 973.638-989.888 977.873-994.123 999.978-1016.238 1016.479-1032.729 1027.852-1044.102
6 1168.365-1187.865 1173.447-1192.947 1199.973-1219.473 1219.775-1239.275 1233.422-1252.922
7 1363.093-1385.843 1369.022-1391.772 1399.968-1422.719 1423.071-1445.821 1438.993-1461.743