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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="4" rowspan="2" |Intense Aeolian-Subpental Dorian
! Decade
! colspan="10" |Dorian
!Period
!Notes
|-
|-
! colspan="4" |Subpental
|6\5
! colspan="3" |Pental
|180.000
! colspan="3" |Superpental
|Intense Aeolian-Subpental Dorian mode begins
|-
|-
!Min
|29\24
!Golden±13¢
|''181.250''
!''r¢''
|
!Max
!Min
!7/3±13¢
!Golden±13¢
!Max
!Min
!Golden±13¢
!Max
!Min
!Golden±13¢
!Max
|-
|-
|1
|23\19
|180
|181.579
|180.856-184.106
|
|''182.5''
|-
| colspan="2" |183.333
|17\14
|181.734-184.984
|182.143
|182.606-185.856
|
| colspan="2" |''187.5''
|-
|188.2585-191.9085
|11\9
| colspan="2" |190.909
|183.333
|189.834-193.084
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|-
|16\13
|184.615
|
|-
|21\17
|185.294
|
|-
|26\21
|185.714
|
|-
|31\25
|186.000
|
|-
|5\4
|187.500
| Subpental Dorian mode ends, Pental Dorian mode begins
|-
|34\27
|188.889
|
|-
|29\23
|189.130
|
|-
|24\19
|189.474
|
|-
|19\15
|190.000
|
|-
|14\11
|190.909
|Pental Dorian mode ends, Superpental Dorian mode begins
|-
|23\18
|191.667
|
|-
|9\7
|192.857
|192.857
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|-
|31\24
|193.000
|
|-
|22\17
|194.118
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|-
|-
|2
|35\27
|360
|194.444
|361.712-368.213
|
|''365''
| colspan="2" |366.667
|363.468-369.968
|365.212-371.712
| colspan="2" |''375''
|377.317-383.817
| colspan="2" |381.818
|379.668-386.168
|385.714
|-
|-
|3
|13\10
|540
|195.000
|542.569-552.319
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|''547.5''
| colspan="2" |550
|545.202-554.952
|547.819-557.569
| colspan="2" |''562.5''
|565.974-575.726
| colspan="2" |572.727
|569.502-579.252
|578.571
|-
|-
|4
|17\13
|720
|196.154
|723.425-736.425
|
|''750''
| colspan="2" |733.333
|726.9355-739.9355
|730.425-743.425
| colspan="2" |''750''
|754.634-767.634
| colspan="2" |763.636
|759.336-771.336
|771.429
|-
|-
|5
|21\16
|900
|196.875
|904.282-920.532
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|''932.5''
| colspan="2" |916.667
|908.669-924.919
|913.031-920.281
| colspan="2" |''937.5''
|943.293-959.543
| colspan="2" |954.5455
|949.17-965.42
|964.286
|-
|-
|6
|25\19
|1080
|197.368
|1085.138-1104.638
|
|''1115''
| colspan="2" |1100
|1090.403-1109.903
|1095.637-1115.137
| colspan="2" |''1125''
|1131.951-1151.451
| colspan="2" |1145.4545
|1139.004-1158.503
|1157.143
|-
|-
|7
|29\22
|1260
|197.727
|1265.9945-1288.7445
|
|''1297.5''
|-
| colspan="2" |1283.333
|33\25
|1272.137-1294.887
|198.000
|1278.2435-1300.9935
|
| colspan="2" |''1312.5''
|-
|1320.61-1343.36
|37\28
| colspan="2" |1336.364
|198.214
|1328.838-1351.588
|
|1350
|-
|}
|41\31
{| class="wikitable" style="text-align: center"
|198.387
!Degrees
|
!Min
|-
!22/9±13¢
|45\34
!''r¢''
|198.529
!Golden±13¢
|
!Max
|-
|49\37
|198.649
|
|-
|53\40
|198.750
|
|-
|57\43
|198.837
|
|-
|-
|1
|61\46
|192.857
|198.913
|191.801-195.051
|
|''193.75''
|192.728-195.978
|195
|-
|-
|2
|65\49
|385.714
|198.980
|383.602-390.102
|
|''387.5''
|385.456-391.956
|390
|-
|-
|3
|69\52
|578.571
|199.038
|575.403-585.153
|
|''581.25''
|578.184-587.934
|585
|-
|-
|4
|4\3
|771.429
|200.000
|767.204-780.204
| Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|''775''
|770.912-783.912
|780
|-
|-
|5
|35\26
|964.286
|201.923
|959.005-975.255
|
|''968.75''
|963.6935-979.8895
|975
|-
|-
|6
|31\23
|1157.143
|202.174
|1150.806-1170.306
|
|''1162.5''
|1156.367-1175.867
|1170
|-
|-
|7
|27\20
|1350
|202.500
|1342.607-1365.357
|
|''1356.25''
|1349.095-1371.845
|1365
|}
{| class="wikitable" style="text-align: center"
|-
|-
! rowspan="4" |Degrees
|23\17
! colspan="14" |Mixolydian
|202.941
! colspan="3" rowspan="3" |Mixolydian-Ionian
|
|-
|-
! colspan="3" rowspan="2" |Subpental
|19\14
! colspan="4" rowspan="2" |Pental
|203.571
! colspan="7" |Superpental
|
|-
|-
! colspan="3" |Soft
|15\11
! colspan="4" |Intense
|204.545
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|-
|-
! width="4%" |Min
|26\19
!Golden±13¢
|205.263
! width="4%" |Max
|
! width="4%" |Min
!Golden±13¢
!5/2±13¢
! width="4%" |Max
! width="4%" |Min
!Golden±13¢
! width="4%" |Max
! width="4%" |Min
!Golden±13¢
!''r¢''
! width="4%" |Max
!Min
!Golden±13¢
!Max
|-
|-
| |1
|11\8
|195
|206.250
|194.7275-197.9775
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
| colspan="2" |196.875
|195.5745-198.8245
|196.664-199.914
| colspan="2" |''200''
|199.9955-203.2455
| colspan="2" |201.724
|203.296-206.546
|''206.25''
| colspan="2" |206.897
|205.57-208.82
|210
|-
|-
| |2
|18\13
|390
|207.692
|389.455-395.955
|
| colspan="2" |393.75
|391.149-397.649
|393.328-399.828
| colspan="2" |''400''
|399.991-406.491
| colspan="2" |403.448
|406.592-413.092
|''412.5''
| colspan="2" |413.793
|411.141-417.641
|420
|-
|-
| |3
|25\18
|585
|208.333
|584.183-593.933
|
| colspan="2" |590.625
|586.724-596.474
|589.993-599.743
| colspan="2" |''600''
|599.987-609.737
| colspan="2" |605.172
|609.888-619.638
|''618.75''
| colspan="2" |620.69
|616.711-626.461
|630
|-
|-
|4
|32\23
|780
|208.696
|778.91-791.91
|
| colspan="2" |787.5
|782.298-795.298.
|786.657-799.657
| colspan="2" |''800''
|799.982-812.982
| colspan="2" |806.897
|813.1835-826.1835
|''825''
| colspan="2" |827.586
|822.282-835.282
|840
|-
|-
|5
|39\28
|975
|208.929
|973.638-989.888
|
| colspan="2" |984.375
|977.873-994.123
|983.321-999.571
| colspan="2" |''1000''
|999.978-1016.238
| colspan="2" |1008.621
|1016.479-1032.729
|''1031.25''
| colspan="2" |1034.483
|1027.852-1044.102
|1050
|-
|-
|6
|46\33
|1170
|209.091
|1168.365-1187.865
|
| colspan="2" |1181.25
|1173.447-1192.947
|1179.985-1199.485
| colspan="2" |''1200''
|1199.973-1219.473
| colspan="2" |1210.345
|1219.775-1239.275
|''1237.5''
| colspan="2" |1241.379
|1233.422-1252.922
|1260
|-
|-
|7
|7\5
|1365
|210.000
|1363.093-1385.843
|Mixolydian-Ionian mode ends
| colspan="2" |1378.125
|1369.022-1391.772
|1376.6495-1399.3995
| colspan="2" |''1400''
|1399.968-1422.719
| colspan="2" |1412.069
|1423.071-1445.821
|''1443.75''
| colspan="2" |1448.276
|1438.993-1461.743
|1470
|}
|}
[[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"