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This is the neutral scale of the Vesuvius temperament family.
This is the neutral scale of the Vesuvius temperament family. It also gives every other period of the 16th-decade Roccocavallo branch of the Carrera temperament family.
 
==Intervals==
==Intervals==
{| class="wikitable" style="text-align: center"
{| class="wikitable"
! rowspan="3" |Degrees
|+
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
! Decade
! colspan="9" |Dorian
!Period
!Notes
|-
|-
! colspan="3" |Subpental
|6\5
! colspan="3" |Pental
|180.000
! colspan="3" |Superpental
|Intense Aeolian-Subpental Dorian mode begins
|-
|-
!Min-comma
|29\24
!Med
|''181.250''
! colspan="2" |Max+comma~Min-comma
|
!Med
! colspan="2" |Max+comma~Min-comma
!Med
! colspan="2" |Max+comma~Min-comma
!Med
!Max+comma
|-
|-
|1
|23\19
|175-180
|181.579
|
|-
|17\14
|182.143
|182.143
| colspan="2" |178.333-188.333
|
|184.615
| colspan="2" |182.5-192.5
|190
| colspan="2" |185.909-195.909
|191.667
|192.857-197.857
|-
|-
|2
|11\9
|350-360
|183.333
|364.286
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
| colspan="2" |356.667-376.667
|369.231
| colspan="2" |365-385
|380
| colspan="2" |371.818-391.818
|383.333
|385.714-395.714
|-
|-
|3
|16\13
|525-540
|184.615
|546-429
|
| colspan="2" |535-565
|553.846
| colspan="2" |547.5-577.5
|570
| colspan="2" |557.727-587.727
|575
|578.571-593.571
|-
|-
|4
|21\17
|700-720
|185.294
|728.571
|
| colspan="2" |713.333-753.333
|738.4615
| colspan="2" |730-770
|760
| colspan="2" |743.636-783.636
|766.667
|771.429-791.429
|-
|-
|5
|26\21
|875-900
|185.714
|910.714
|
| colspan="2" |891.667-941.667
|923.071
| colspan="2" |912.5-962.5
|950
| colspan="2" |929.5455-979.5455
|958.333
|964.286-989.286
|-
|-
|6
|31\25
|1050-1080
|186.000
|1092.857
|
| colspan="2" |1070-1130
|1107.692
| colspan="2" |1095-1155
|1140
| colspan="2" |1115.4545-1175.4545
|1150
|1157.143-1187.143
|-
|-
|7
|5\4
|1225-1260
|187.500
|1275
| Subpental Dorian mode ends, Pental Dorian mode begins
| colspan="2" |1248.333-1318.333
|1292.308
| colspan="2" |1277.5-1347.5
|1330
| colspan="2" |1301.364-1371.364
|1341.667
|1350-1385
|}
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! colspan="4" |Mohajira
! colspan="3" |Beatles
|-
|-
!Min-comma
|34\27
!''r¢''
|188.889
!Med
|
! colspan="2" |Max+comma~Min-comma
!Med
!Max+comma
|-
|-
|1
|29\23
|187.857-192.857
|189.130
| colspan="2" |''193.75''
|
| colspan="2" |189.118-199.118
|194.444
|195-200
|-
|-
|2
|24\19
|375.714-385.714
|189.474
| colspan="2" |''387.5''
|
| colspan="2" |378.235-398.235
|388.889
|390-400
|-
|-
|3
|19\15
|563.571-578.571
|190.000
| colspan="2" |''581.25''
|
| colspan="2" |567.353-597.353
|583.333
|585-600
|-
|-
|4
|14\11
|751.429-771.429
|190.909
| colspan="2" |''775''
|Pental Dorian mode ends, Superpental Dorian mode begins
| colspan="2" |756.471-796.471
|777.778
|780-800
|-
|-
|5
|23\18
|939.286-964.286
|191.667
| colspan="2" |''968.75''
|
| colspan="2" |945.588-995.588
|972.222
|975-1000
|-
|-
|6
|9\7
|1127.143-1157.143
|192.857
| colspan="2" |''1162.5''
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
| colspan="2" |1134.706-1194.706
|1166.667
|1170-1200
|-
|-
|7
|31\24
|1315-1350
|193.000
| colspan="2" |''1356.25''
|
| colspan="2" |1323.8235-1393.8235
|1361.111
|1365-1400
|}
{| class="wikitable" style="text-align: center"
|-
|-
! rowspan="4" |Degrees
|22\17
! colspan="12" |Mixolydian
|194.118
! colspan="3" rowspan="3" |Mixolydian-Ionian
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|-
|-
! colspan="3" rowspan="2" |Subpental
|35\27
! colspan="3" rowspan="2" |Pental
|194.444
! colspan="6" |Superpental
|
|-
! colspan="3" |Soft
! colspan="3" |Intense
|-
|-
! width="4%" |Min-comma
|13\10
!Med
|195.000
! colspan="2" width="4%" |Max+comma~Min-comma
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
!Med
! colspan="2" width="4%" |Max+comma~Min-comma
!Med
! colspan="2" width="4%" |Max+comma~Min-comma
!Med
! colspan="2" width="4%" |Max+comma~Min-comma
!Med
!Max+comma
|-
|-
| |1
|17\13
|190-195
|196.154
|196.154
| colspan="2" |191.875-201.875
|
|197.368
| colspan="2" |195-205
|201.5625
| colspan="2" |196.724-206.724
|204.31
| colspan="2" |201.897-211.897
|207.353
|210-215
|-
|-
| |2
|21\16
|380-390
|196.875
|392.308
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
| colspan="2" |383.75-403.75
|394.737
| colspan="2" |390-410
|403.125
| colspan="2" |393.448-413.448
|408.621
| colspan="2" |403.793-423.793
|414.706
|420-430
|-
|-
| |3
|25\19
|570-585
|197.368
|588.4615
|
| colspan="2" |575.625-605.625
|592.105
| colspan="2" |585-615
|604.6875
| colspan="2" |590.172-620.172
|612.931
| colspan="2" |605.69-635.69
|622.059
|630-645
|-
|-
|4
|29\22
|760-780
|197.727
|784.615
|
| colspan="2" |767.5-807.5
|789.474
| colspan="2" |780-820
|806.25
| colspan="2" |786.897-826.897
|817.241
| colspan="2" |807.586-847.586
|829.412
|840-860
|-
|-
|5
|33\25
|950-975
|198.000
|980.769
|
| colspan="2" |959.375-1008.375
|986.842
| colspan="2" |975-1025
|1007.8125
| colspan="2" |983.621-1033.621
|1021.552
| colspan="2" |1009.483-1059.483
|1036.765
|1050-1075
|-
|-
|6
|37\28
|1140-1170
|198.214
|1176.923
|
| colspan="2" |1151.25-1211.25
|1184.2105
| colspan="2" |1170-1230
|1209.375
| colspan="2" |1180.345-1240.345
|1225.862
| colspan="2" |1211.379-1271.379
|1244.118
|1260-1290
|-
|-
|7
|41\31
|1330-1365
|198.387
|1373.077
|
| colspan="2" |1343.125-1413.125
|1381.579
| colspan="2" |1365-1435
|1410.9375
| colspan="2" |1377.069-1447.069
|1430.172
| colspan="2" |1413.276-1483.276
|1451.471
|1470-1505
|}
Relative cents
 
{| class="wikitable" style="text-align: center"
!Degrees
!Intense Aeolian-Subpental Dorian
!Dorian
!Subpental-Soft Superpental Mixolydian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
|-
|-
|45\34
|198.529
|
|-
|-
|1
|49\37
|181.25
|198.649
|187.5
|
|200
|206.25
|-
|-
|2
|53\40
|362.5
|198.750
|375
|
|400
|412.5
|-
|-
|3
|57\43
|543.75
|198.837
|562.5
|
|600
|618.75
|-
|-
|4
|61\46
|543.75
|198.913
|750
|
|800
|825
|-
|-
|5
|65\49
|906.25
|198.980
|937.5
|
|1000
|1031.25
|-
|-
|6
|69\52
|1087.5
|199.038
|1125
|
|1200
|1237.5
|-
|-
|7
|4\3
|1268.75
|200.000
|1312.5
| Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|1400
|1443.75
|}
Golden/Pyrite Tunings±13¢
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="3" |Dorian
|-
|-
!Subpental
|35\26
!Pental
|201.923
!Superpental
|
|-
|-
|1
|31\23
|180.856-184.106
|202.174
|182.606-185.856
|
|188.2585-191.9085
|189.834-193.084
|-
|-
|2
|27\20
|361.712-368.213
|202.500
|365.212-371.712
|
|377.317-383.817
|379.668-386.168
|-
|-
|3
|23\17
|542.569-552.319
|202.941
|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
|}
{| class="wikitable" style="text-align: center"
!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
|}
{| class="wikitable" style="text-align: center"
|-
|-
! rowspan="3" |Degrees
|19\14
! colspan="4" |Mixolydian
|203.571
! rowspan="3" |Mixolydian-Ionian
|
|-
|-
! rowspan="2" |Subpental
|15\11
! rowspan="2" |Pental
|204.545
! colspan="2" |Superpental
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|-
|-
!Soft
|26\19
!Intense
|205.263
|
|-
|-
| |1
|11\8
|194.7275-197.9775
|206.250
|195.5745-198.8245
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|199.9955-203.2455
|203.296-206.546
|205.57-208.82
|-
|-
| |2
|18\13
|389.455-395.955
|207.692
|391.149-397.649
|
|399.991-406.491
|406.592-413.092
|411.141-417.641
|-
|-
| |3
|25\18
|584.183-593.933
|208.333
|586.724-596.474
|
|599.987-609.737
|609.888-619.638
|616.711-626.461
|-
|-
|4
|32\23
|778.91-791.91
|208.696
|782.298-795.298.
|
|799.982-812.982
|813.1835-826.1835
|822.282-835.282
|-
|-
|5
|39\28
|973.638-989.888
|208.929
|977.873-994.123
|
|999.978-1016.238
|1016.479-1032.729
|1027.852-1044.102
|-
|-
|6
|46\33
|1168.365-1187.865
|209.091
|1173.447-1192.947
|
|1199.973-1219.473
|1219.775-1239.275
|1233.422-1252.922
|-
|-
|7
|7\5
|1363.093-1385.843
|210.000
|1369.022-1391.772
|Mixolydian-Ionian mode ends
|1399.968-1422.719
|1423.071-1445.821
|1438.993-1461.743
|}
|}
[[Category:EdX]]
==See also==
*[[8ed5/2]] - equal division of the classic major tenth
*[[8ed7/3]] - equal division of the septimal minor tenth
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/8edX"