User:Moremajorthanmajor/8edX

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	r¢	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

See also

• 8ed5/2 - equal division of the classic major tenth
• 8ed7/3 - equal division of the septimal minor tenth