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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"
{| class="wikitable"
! rowspan="5" |Degrees
|+
! colspan="8" |Minor mode Vesuvius temperament
! Decade
! colspan="2" |Neutral mode Vesuvius temperament
!Period
! colspan="10" |Major mode Vesuvius temperament
!Notes
|-
|-
! colspan="2" rowspan="3" |Aeolian-Dorian
|6\5
! colspan="6" |Dorian
|180.000
! colspan="2" rowspan="3" |Dorian-Mixolydian
|Intense Aeolian-Subpental Dorian mode begins
! colspan="8" |Mixolydian
! colspan="2" rowspan="3" |Mixolydian-Ionian
|-
|-
! colspan="2" rowspan="2" |Subpental
|29\24
! colspan="2" rowspan="2" |Pental
|''181.250''
! colspan="2" rowspan="2" |Superpental
|
! colspan="2" rowspan="2" |Subpental
! colspan="2" rowspan="2" |Pental
! colspan="4" |Superpental
|-
|-
! colspan="2" |Soft
|23\19
! colspan="2" |Intense
|181.579
|
|-
|-
! | Minimum
|17\14
! | Maximum
|182.143
!Minimum
|
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! | Maximum
!Minimum
!Maximum
! | Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! | Maximum
|-
|-
| | 1
|11\9
| | 180
|183.333
| colspan="2" | 183.333
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
| colspan="2" |187.5
| colspan="2" |190.909
| colspan="2" |192.857
| colspan="2" | 195
| colspan="2" |196.875
| colspan="2" |200
| colspan="2" |201.724
| colspan="2" |206.897
| | 210
|-
|-
| | 2
|16\13
| | 360
|184.615
| colspan="2" | 366.667
|
| colspan="2" |375
| colspan="2" |381.818
| colspan="2" |385.714
| colspan="2" | 390
| colspan="2" |393.75
| colspan="2" |400
| colspan="2" |403.448
| colspan="2" |413.793
| | 420
|-
|-
| | 3
|21\17
| | 540
|185.294
| colspan="2" | 550
|
| colspan="2" |562.5
| colspan="2" |572.727
| colspan="2" |578.571
| colspan="2" | 585
| colspan="2" |590.625
| colspan="2" |600
| colspan="2" |605.172
| colspan="2" |620.69
| | 630
|-
|-
| | 4
|26\21
| | 720
|185.714
| colspan="2" | 733.333
|
| colspan="2" |750
| colspan="2" |763.636
| colspan="2" |771.429
| colspan="2" | 780
| colspan="2" |787.5
| colspan="2" |800
| colspan="2" |806.897
| colspan="2" |827.586
| | 840
|-
|-
| | 5
|31\25
| | 900
|186.000
| colspan="2" | 916.667
|
| colspan="2" |937.5
| colspan="2" |954.5455
| colspan="2" |964.286
| colspan="2" | 975
| colspan="2" |984.375
| colspan="2" |1000
| colspan="2" |1008.621
| colspan="2" |1034.483
| | 1050
|-
|-
| | 6
|5\4
| | 1080
|187.500
| colspan="2" | 1100
| Subpental Dorian mode ends, Pental Dorian mode begins
| colspan="2" |1125
| colspan="2" |1145.4545
| colspan="2" |1157.143
| colspan="2" | 1170
| colspan="2" |1181.25
| colspan="2" |1200
| colspan="2" |1210.345
| colspan="2" |1241.379
| | 1260
|-
|-
| | 7
|34\27
| | 1260
|188.889
| colspan="2" | 1283.333
|
| colspan="2" |1312.5
|-
| colspan="2" |1336.364
|29\23
| colspan="2" |1350
|189.130
| colspan="2" | 1365
|
| colspan="2" |1378.125
|-
| colspan="2" |1400
|24\19
| colspan="2" |1412.069
|189.474
| colspan="2" |1448.276
|
| | 1470
|-
|}
|19\15
Most harmonic tunings
|190.000
{| class="wikitable"
|
|-
|14\11
|190.909
|Pental Dorian mode ends, Superpental Dorian mode begins
|-
|23\18
|191.667
|
|-
|9\7
|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
|-
|35\27
|194.444
|
|-
|13\10
|195.000
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|-
|17\13
|196.154
|
|-
|21\16
|196.875
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|-
|25\19
|197.368
|
|-
|29\22
|197.727
|
|-
|33\25
|198.000
|
|-
|37\28
|198.214
|
|-
|41\31
|198.387
|
|-
|45\34
|198.529
|
|-
|49\37
|198.649
|
|-
|53\40
|198.750
|
|-
|-
! rowspan="2" |Degrees
|57\43
!Minor mode Vesuvius temperament
|198.837
!Neutral mode Vesuvius temperament
|
!Major mode Vesuvius temperament
|-
|-
!7/3±13¢
|61\46
!22/9±13¢
|198.913
!5/2±13¢
|
|-
|-
| |1
|65\49
|181.734-184.984
|198.980
|191.801-195.051
|
|196.664-199.914
|-
|-
| |2
|69\52
|363.468-369.968
|199.038
|383.602-390.102
|
|393.328-399.828
|-
|-
| |3
|4\3
|545.202-554.952
|200.000
|575.403-585.153
| Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|589.993-599.743
|-
|-
| |4
|35\26
|726.9355-739.9355
|201.923
|767.204-780.204
|
|786.657-799.657
|-
|-
| |5
|31\23
|908.669-922.919
|202.174
|959.005-975.255
|
|983.321-999.571
|-
|-
| |6
|27\20
|1090.403-1109.903
|202.500
|1150.806-1170.306
|
|1179.985-1199.485
|-
|-
| |7
|23\17
|1272.137-1294.387
|202.941
|1342.607-1365.357
|
|1376.6495-1399.3995
|}Golden tunings±13¢
 
{| class="wikitable"
! rowspan="4" |Degrees
! colspan="4" |Minor mode Vesuvius temperament
!Neutral mode Vesuvius temperament
! colspan="5" |Major mode Vesuvius temperament
|-
|-
! rowspan="3" |Aeolian-Dorian
|19\14
! colspan="3" |Dorian
|203.571
! rowspan="3" |Dorian-Mixolydian
|
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
|-
! rowspan="2" |Subpental
|15\11
! rowspan="2" |Pental
|204.545
! rowspan="2" |Superpental
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
! rowspan="2" |Subpental
! rowspan="2" |Pental
! colspan="2" |Superpental
|-
|-
!Soft
|26\19
!Intense
|205.263
|
|-
|-
| | 1
|11\8
| | 180.856-184.106
|206.250
|182.606-185.856
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|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
|18\13
| |361.712-368.213
|207.692
|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
|25\18
| | 542.569-552.319
|208.333
|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
|32\23
| | 723.425-736.425
|208.696
|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
|39\28
| | 904.282-920.532
|208.929
|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
|46\33
| | 1085.138-1104.638
|209.091
|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
|7\5
| | 1265.9945-1288.7445
|210.000
|1278.2435-1300.9935
|Mixolydian-Ionian mode ends
|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
|}
|}
[[Category:EdX]]
==See also==
*[[8ed5/2]] - equal division of the classic major tenth
*[[8ed7/3]] - equal division of the septimal minor tenth
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