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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''
!Max+comma
|
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
|-
|-
|1
|23\19
|176.25-180
|181.579
|
|-
|17\14
|182.143
|182.143
| colspan="2" |179.583-187.093
|
|184.615
| colspan="2" |183.75-191.25
|190
| colspan="2" |187.159-194.659
|191.667
|192.857-196.607
|-
|-
|2
|11\9
|352.5-360
|183.333
|364.286
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
| colspan="2" |358.167-373.167
|369.231
| colspan="2" |367.5-382.5
|380
| colspan="2" |374.318-389.318
|383.333
|385.714-393.214
|-
|-
|3
|16\13
|528.75-540
|184.615
|546-429
|
| colspan="2" |538.75-561.25
|553.846
| colspan="2" |551.25-573.75
|570
| colspan="2" |561.477-583.977
|574
|578.571-589.821
|-
|-
|4
|21\17
|705-720
|185.294
|728.571
|
| colspan="2" |718.333-748.333
|738.4615
| colspan="2" |735-765
|760
| colspan="2" |748.636-778.636
|765.667
|771.429-786.429
|-
|-
|5
|26\21
|881.75-900
|185.714
|910.714
|
| colspan="2" |897.917-935.417
|923.071
| colspan="2" |918.75-956.25
|950
| colspan="2" |935.7975-973.2975
|957.333
|964.286-983.036
|-
|-
|6
|31\25
|1057.5-1080
|186.000
|1092.857
|
| colspan="2" |1077.5-1122.5
|1107.692
| colspan="2" |1102.5-1147.5
|1140
| colspan="2" |1122.9545-1167.9545
|1148
|1157.143-1179.643
|-
|-
|7
|5\4
|1233.75-1260
|187.500
|1275
| Subpental Dorian mode ends, Pental Dorian mode begins
| colspan="2" |1257.083-1309.583
|1292.308
| colspan="2" |1286.25-1338.75
|1330
| colspan="2" |1310.114-1362.614
|1339.667
|1350-1376.25
|}
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! colspan="4" |Mohajira
! colspan="3" |Beatles
|-
|-
!Min-comma
|34\27
!''r¢''
|188.889
!Med
|
!Max+comma
!Min-comma
!Med
!Max+comma
|-
|-
|1
|29\23
|189.107-192.857
|189.130
| colspan="2" |''193.75''
|
| colspan="2" |190.368-197.868
|194.444
|195-198.75
|-
|-
|2
|24\19
|378.214-385.714
|189.474
| colspan="2" |''387.5''
|
| colspan="2" |380.735-395.735
|388.889
|390-397.5
|-
|-
|3
|19\15
|567.321-578.571
|190.000
| colspan="2" |''581.25''
|
| colspan="2" |571.103-593.603
|583.333
|585-596.25
|-
|-
|4
|14\11
|756.429-771.429
|190.909
| colspan="2" |''775''
|Pental Dorian mode ends, Superpental Dorian mode begins
| colspan="2" |761.471-791.471
|777.778
|780-795
|-
|-
|5
|23\18
|945.536-964.286
|191.667
| colspan="2" |''968.75''
|
| colspan="2" |951.738-989.238
|972.222
|975-993.75
|-
|-
|6
|9\7
|1134.643-1157.143
|192.857
| colspan="2" |''1162.5''
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
| colspan="2" |1142.203-1167.206
|1166.667
|1170-1192.5
|-
|-
|7
|31\24
|1323.75-1350
|193.000
| colspan="2" |''1356.25''
|
| colspan="2" |1332.5735-1387.0735
|1361.111
|1365-1391.25
|}
{| 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
! width="4%" |Max+comma
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
! width="4%" |Min-comma
!Med
! width="4%" |Max+comma
! width="4%" |Min-comma
!Med
! width="4%" |Max+comma
! width="4%" |Min-comma
!Med
! width="4%" |Max+comma
!Min-comma
!Med
!Max+comma
|-
|-
| |1
|17\13
|191.25-195
|196.154
|196.154
| colspan="2" |193.125-200.625
|
|197.368
| colspan="2" |196.25-203.75
|201.5625
| colspan="2" |197.974-205.474
|204.31
| colspan="2" |203.147-210.647
|207.353
|210-213.75
|-
|-
| |2
|21\16
|382.5-390
|196.875
|392.308
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
| colspan="2" |386.25-401.25
|394.737
| colspan="2" |392.5-407.5
|403.125
| colspan="2" |395.948-410.948
|408.621
| colspan="2" |406.293-421.293
|414.706
|420-427.5
|-
|-
| |3
|25\19
|573.75-585
|197.368
|588.4615
|
| colspan="2" |579.375-601.875
|592.105
| colspan="2" |588.75-611.25
|604.6875
| colspan="2" |593.922-616.422
|612.931
| colspan="2" |609.44-631.94
|622.059
|630-641.25
|-
|-
|4
|29\22
|765-780
|197.727
|784.615
|
| colspan="2" |772.5-802.5
|789.474
| colspan="2" |785-815
|806.25
| colspan="2" |791.897-821.897
|817.241
| colspan="2" |812.586-842.586
|829.412
|840-855
|-
|-
|5
|33\25
|956.25-975
|198.000
|980.769
|
| colspan="2" |965.625-1003.125
|986.842
| colspan="2" |981.25-1018.75
|1007.8125
| colspan="2" |1004.871-1042.371
|1021.552
| colspan="2" |1015.733-1053.233
|1036.765
|1050-1068.75
|-
|-
|6
|37\28
|1147.5-1170
|198.214
|1176.923
|
| colspan="2" |1158.75-1203.75
|1184.2105
| colspan="2" |1177.5-1222.5
|1209.375
| colspan="2" |1187.845-1232.845
|1225.862
| colspan="2" |1218.879-1263.879
|1244.118
|1260-1282.5
|-
|-
|7
|41\31
|1338.25-1365
|198.387
|1373.077
|
| colspan="2" |1351.875-1404.375
|1381.579
| colspan="2" |1373.75-1426.25
|1410.9375
| colspan="2" |1385.819-1438.319
|1430.172
| colspan="2" |1422.026-1474.526
|1451.471
|1470-1496.25
|}
Relative cents
 
{| class="wikitable" style="text-align: center"
! rowspan="2" |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
|193.699-196.949
|194.19-197.44
|-
|2
|387.399-393.899
|388.381-394.881
|-
|3
|581.098-590.848
|582.571-592.321
|-
|4
|777.798-787.798
|776.762-789.762
|-
|5
|968.497-984.747
|970.952-987.202
|-
|6
|1162.197-1181.697
|1165.142-1184.642
|-
|7
|1355.896-1378.646
|1359.333-1382.083
|}
{| 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"