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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
|-
|6\5
|180.000
|Intense Aeolian-Subpental Dorian mode begins
|-
|29\24
|''181.250''
|
|-
|-
! colspan="2" rowspan="3" |Aeolian-Dorian
|23\19
! colspan="6" |Dorian
|181.579
! colspan="2" rowspan="3" |Dorian-Mixolydian
|
! colspan="8" |Mixolydian
! colspan="2" rowspan="3" |Mixolydian-Ionian
|-
|-
! colspan="2" rowspan="2" |Subpental
|17\14
! colspan="2" rowspan="2" |Pental
|182.143
! colspan="2" rowspan="2" |Superpental
|
! colspan="2" rowspan="2" |Subpental
! colspan="2" rowspan="2" |Pental
! colspan="4" |Superpental
|-
|-
! colspan="2" |Soft
|11\9
! colspan="2" |Intense
|183.333
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|-
|-
! | Minimum
|16\13
! | Maximum
|184.615
!Minimum
|
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! | Maximum
!Minimum
!Maximum
! | Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! | Maximum
|-
|-
| | 1
|21\17
| | 180
|185.294
| colspan="2" | 183.333
|
| 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
|26\21
| | 360
|185.714
| 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
|31\25
| | 540
|186.000
| 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
|5\4
| | 720
|187.500
| colspan="2" | 733.333
| Subpental Dorian mode ends, Pental Dorian mode begins
| 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
|34\27
| | 900
|188.889
| 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
|29\23
| | 1080
|189.130
| colspan="2" | 1100
|
| 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
|24\19
| | 1260
|189.474
| colspan="2" | 1283.333
|
| colspan="2" |1312.5
| colspan="2" |1336.364
| colspan="2" |1350
| colspan="2" | 1365
| colspan="2" |1378.125
| colspan="2" |1400
| colspan="2" |1412.069
| colspan="2" |1448.276
| | 1470
|}
Most harmonic tunings
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|19\15
!Minor mode Vesuvius temperament
|190.000
!Neutral mode Vesuvius temperament
|
!Major mode Vesuvius temperament
|-
|-
!7/3±13¢
|14\11
!22/9±13¢
|190.909
!5/2±13¢
|Pental Dorian mode ends, Superpental Dorian mode begins
|-
|-
| |1
|23\18
|181.734-184.984
|191.667
|191.801-195.051
|
|196.664-199.914
|-
|-
| |2
|9\7
|363.468-369.968
|192.857
|383.602-390.102
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|393.328-399.828
|-
|-
| |3
|31\24
|545.202-554.952
|193.000
|575.403-585.153
|
|589.993-599.743
|-
|-
| |4
|22\17
|726.9355-739.9355
|194.118
|767.204-780.204
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|786.657-799.657
|-
|-
| |5
|35\27
|908.669-922.919
|194.444
|959.005-975.255
|
|983.321-999.571
|-
|-
| |6
|13\10
|1090.403-1109.903
|195.000
|1150.806-1170.306
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|1179.985-1199.485
|-
|-
| |7
|17\13
|1272.137-1294.387
|196.154
|1342.607-1365.357
|
|1376.6495-1399.3995
|}Golden tunings
 
Minor mode Vesuvius temperament
{| class="wikitable"
|+
! rowspan="3" |Degrees
! colspan="3" |Aeolian-Dorian
! colspan="9" |Dorian
|-
|-
! rowspan="2" |-13¢
|21\16
! rowspan="2" |Mean
|196.875
! rowspan="2" |-13¢ (s5D)
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
! colspan="3" |Subpental
! colspan="3" |Pental
! colspan="3" |Superpental
|-
|-
!+13¢ (A-D)
|25\19
!Mean
|197.368
!+13¢
|
!-13¢
!-13¢ (S5)
!Mean
!Mean
!+13¢ (5)
!-13¢ (D-M)
|-
|-
|1
|29\22
|180.856
|197.727
|182.481
|
|182.606
|184.106
|184.231
|185.856
|188.2585
|189.834
|190.2835
|191.459
|191.9085
|192.728
|-
|-
|2
|33\25
|361.712
|198.000
|364.962
|
|365.212
|367.213
|368.462
|371.712
|377.317
|379.668
|380.567
|382.918
|383.817
|385.456
|-
|-
|3
|37\28
|542.569
|198.214
|547.444
|
|547.819
|552.319
|552.694
|557.569
|565.974
|569.502
|570.851
|574.377
|575.726
|578.184
|-
|-
|4
|41\31
|723.425
|198.387
|729.925
|
|730.425
|736.425
|736.925
|743.425
|754.634
|759.336
|761.134
|765.836
|767.634
|770.912
|-
|-
|5
|45\34
|904.282
|198.529
|912.407
|
|913.031
|920.532
|921.156
|929.281
|943.293
|949.17
|951.418
|957.295
|959.543
|963.6935
|-
|-
|6
|49\37
|1085.138
|198.649
|1094.888
|
|1095.637
|1104.638
|1105.387
|1115.137
|1131.957
|1139.004
|1141.701
|1148.753
|1151.451
|1156.367
|-
|-
|7
|53\40
|1265.9945
|198.750
|1277.3695
|
|1278.2435
|1288.7445
|1289.6185
|1300.9935
|1320.61
|1328.838
|1331.985
|1340.213
|1343.36
|1349.095
|}
Neutral (Dorian-Mixolydian) mode Vesuvius temperament
{| class="wikitable"
|-
|-
!Degrees
|57\43
!+13¢ (S5D)
|198.837
!Mean
|
!-13¢ (s5M)
|-
|-
|1
|61\46
|193.084
|198.913
|194.353
|
|194.7275
|-
|-
|2
|65\49
|386.168
|198.980
|388.706
|
|389.455
|-
|-
|3
|69\52
|579.252
|199.038
|583.059
|
|584.183
|-
|-
|4
|4\3
|771.336
|200.000
|777.412
| Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|779.41
|-
|-
|5
|35\26
|965.42
|201.923
|971.7645
|
|973.638
|-
|-
|6
|31\23
|1158.503
|202.174
|1166.117
|
|1168.365
|-
|-
|7
|27\20
|1351.588
|202.500
|1360.47
|
|1363.093
|}
Major mode Vesuvius temperament
{| class="wikitable"
|-
|-
! rowspan="4" |Degrees
|23\17
! colspan="13" |Mixolydian
|202.941
! colspan="2" |Mixolydian-Ionian
|
|-
|-
! colspan="3" |Subpental
|19\14
! colspan="4" |Pental
|203.571
! colspan="6" |Superpental
|
! rowspan="3" |Mean
! rowspan="3" |+13¢
|-
|-
! rowspan="2" |-13¢ (5)
|15\11
! rowspan="2" |+13¢ (D-M)
|204.545
! rowspan="2" |Mean
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
! rowspan="2" |Mean
! rowspan="2" |+13¢ (s5)
! rowspan="2" |+13¢
! rowspan="2" |-13¢ (Soft s5)
! rowspan="2" |Soft
! colspan="5" |Intense
|-
|-
!+13¢ (Soft s5)
|26\19
!-13¢
|205.263
!Mean
|
!-13¢ (M-I)
!+13¢ (Int S5M)
|-
|-
|1
|11\8
|195.5745
|206.250
|195.978
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|196.3525
|197.1995
|197.9775
|198.8245
|199.9955
|201.6205
|203.2455
|203.296
|204.921
|205.57
|206.546
|207.195
|208.82
|-
|-
|2
|18\13
|391.149
|207.692
|391.956
|
|392.705
|394.399
|395.955
|397.649
|399.991
|403.241
|406.491
|406.592
|409.842
|411.141
|413.092
|414.391
|417.641
|-
|-
|3
|25\18
|586.724
|208.333
|587.934
|
|589.058
|591.599
|593.933
|596.474
|599.987
|604.862
|609.737
|609.888
|614.763
|616.711
|691.638
|621.586
|626.461
|-
|-
|4
|32\23
|782.298
|208.696
|783.912
|
|785.41
|788.798
|791.91
|795.298
|799.982
|806.482
|812.982
|813.1835
|819.6835
|822.282
|826.1835
|828.782
|835.282
|-
|-
|5
|39\28
|977.872
|208.929
|979.8895
|
|981.763
|985.998
|989.888
|994.123
|999.978
|1008.103
|1016.228
|1016.479
|1024.604
|1027.852
|1032.729
|1035.977
|1044.102
|-
|-
|6
|46\33
|1173.447
|209.091
|1175.867
|
|1178.115
|1183.197
|1189.865
|1192.947
|1199.973
|1209.723
|1219.473
|1219.775
|1229.525
|1233.422
|1239.275
|1243.172
|1252.922
|-
|-
|7
|7\5
|1369.022
|210.000
|1371.845
|Mixolydian-Ionian mode ends
|1374.468
|1380.397
|1385.843
|1391.772
|1399.968
|1411.344
|1422.719
|1423.071
|1434.446
|1438.993
|1445.821
|1450.368
|1461.743
|}
|}
 
==See also==
[[Category:EdX]]
*[[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"