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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
Golden tunings
|190.000
 
|
{| class="wikitable"
|-
|+
|14\11
! rowspan="4" |Degrees
|190.909
! colspan="4" |Minor mode Vesuvius temperament
|Pental Dorian mode ends, Superpental Dorian mode begins
!Neutral mode Vesuvius temperament
|-
! colspan="5" |Major mode Vesuvius temperament
|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
|
|-
|57\43
|198.837
|
|-
|61\46
|198.913
|
|-
|65\49
|198.980
|
|-
|69\52
|199.038
|
|-
|4\3
|200.000
| Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|-
|35\26
|201.923
|
|-
|31\23
|202.174
|
|-
|27\20
|202.500
|
|-
|23\17
|202.941
|
|-
|-
! 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
|182.481
|206.250
|184.231
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|190.2835
|191.459
|194.353
|196.3525
|197.1995
|201.6205
|204.921
|207.195
|-
|-
|2
|18\13
|364.962
|207.692
|368.462
|
|380.567
|382.918
|388.706
|392.705
|394.399
|403.241
|409.842
|414.391
|-
|-
|3
|25\18
|547.444
|208.333
|552.694
|
|570.851
|574.377
|583.059
|589.058
|591.599
|604.862
|614.763
|621.586
|-
|-
|4
|32\23
|729.925
|208.696
|736.925
|
|761.134
|765.836
|777.412
|785.41
|788.798
|806.482
|819.6835
|828.781
|-
|-
|5
|39\28
|912.407
|208.929
|921.156
|
|951.418
|957.295
|971.7645
|981.763
|985.998
|1008.103
|1024.604
|1035.977
|-
|-
|6
|46\33
|1094.888
|209.091
|1105.387
|
|1141.701
|1148.753
|1166.117
|1178.115
|1183.197
|1209.723
|1229.525
|1243.172
|-
|-
|7
|7\5
|1277.3965
|210.000
|1289.6185
|Mixolydian-Ionian mode ends
|1331.985
|1340.213
|1360.47
|1374.468
|1380.397
|1411.344
|1434.446
|1450.368
|}
|}
==See also==
*[[8ed5/2]] - equal division of the classic major tenth
*[[8ed7/3]] - equal division of the septimal minor tenth
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