User:Moremajorthanmajor/8edX: Difference between revisions

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|1342.607-1365.357
|1342.607-1365.357
|1376.6495-1399.3995
|1376.6495-1399.3995
|}Golden tunings
|}Golden tunings±13¢


Minor mode Vesuvius temperament
{| class="wikitable"
{| class="wikitable"
|+
! rowspan="3" |Degrees
! colspan="3" |Aeolian-Dorian
! colspan="9" |Dorian
|-
! rowspan="2" |-13¢
! rowspan="2" |Mean
! rowspan="2" |-13¢ (s5D)
! colspan="3" |Subpental
! colspan="3" |Pental
! colspan="3" |Superpental
|-
!+13¢ (A-D)
!Mean
!+13¢
!-13¢
!-13¢ (S5)
!Mean
!Mean
!+13¢ (5)
!-13¢ (D-M)
|-
|1
|180.856
|182.481
|182.606
|184.106
|184.231
|185.856
|188.2585
|189.834
|190.2835
|191.459
|191.9085
|192.728
|-
|2
|361.712
|364.962
|365.212
|368.213
|368.462
|371.712
|377.317
|379.668
|380.567
|382.918
|383.817
|385.456
|-
|3
|542.569
|547.444
|547.819
|552.319
|552.694
|557.569
|565.974
|569.502
|570.851
|574.377
|575.726
|578.184
|-
|4
|723.425
|729.925
|730.425
|736.425
|736.925
|743.425
|754.634
|759.336
|761.134
|765.836
|767.634
|770.912
|-
|5
|904.282
|912.407
|913.031
|920.532
|921.156
|929.281
|943.293
|949.17
|951.418
|957.295
|959.543
|963.6935
|-
|6
|1085.138
|1094.888
|1095.637
|1104.638
|1105.387
|1115.137
|1131.951
|1139.004
|1141.701
|1148.753
|1151.451
|1156.367
|-
|7
|1265.9945
|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
!+13¢ (S5D)
!Mean
!-13¢ (s5M)
|-
|1
|193.084
|194.353
|194.7275
|-
|2
|386.168
|388.706
|389.455
|-
|3
|579.252
|583.059
|584.183
|-
|4
|771.336
|777.412
|779.41
|-
|5
|965.42
|971.7645
|973.638
|-
|6
|1158.503
|1166.117
|1168.365
|-
|7
|1351.588
|1360.47
|1363.093
|}
Major mode Vesuvius temperament
{| class="wikitable"
|-
! rowspan="4" |Degrees
! rowspan="4" |Degrees
! colspan="13" |Mixolydian
! colspan="4" |Minor mode Vesuvius temperament
! colspan="2" |Mixolydian-Ionian
!Neutral mode Vesuvius temperament
! colspan="5" |Major mode Vesuvius temperament
|-
|-
! colspan="3" |Subpental
! rowspan="3" |Aeolian-Dorian
! colspan="4" |Pental
! colspan="3" |Dorian
! colspan="6" |Superpental
! rowspan="3" |Dorian-Mixolydian
! rowspan="3" |Mean
! colspan="4" |Mixolydian
! rowspan="3" |+13¢
! rowspan="3" |Mixolydian-Ionian
|-
|-
! rowspan="2" |-13¢ (5)
! rowspan="2" |Subpental
! rowspan="2" |+13¢ (D-M)
! rowspan="2" |Pental
! rowspan="2" |Mean
! rowspan="2" |Superpental
! rowspan="2" |Mean
! rowspan="2" |Subpental
! rowspan="2" |+13¢ (s5)
! rowspan="2" |Pental
! rowspan="2" |+13¢
! colspan="2" |Superpental
! rowspan="2" |-13¢ (Soft s5)
! rowspan="2" |Soft
! colspan="5" |Intense
|-
|-
!+13¢ (Soft s5)
!Soft
!-13¢
!Intense
!Mean
!-13¢ (M-I)
!+13¢
|-
|-
|1
| | 1
|195.5745
| | 180.856-184.106
|195.978
|182.606-185.856
|196.3525
|188.2585-191.9085
|197.1995
|189.834-193.084
|197.9775
|192.728-195.978
|198.8245
|194.7275-197.9775
|199.9955
|195.5745-198.8245
|201.6205
|199.9955-203.2455
|203.2455
|203.296-206.546
|203.296
|205.57-208.82
|204.921
|205.57
|206.546
|207.195
|208.82
|-
|-
|2
| | 2
|391.149
| |361.712-368.213
|391.956
|365.212-371.712
|392.705
|377.317-383.817
|394.399
|379.668-386.168
|395.955
|385.456-391.956
|397.649
|389.455-395.955
|399.991
|391.149-397.649
|403.241
|399.991-406.491
|406.491
|406.592-413.092
|406.592
|411.141-417.641
|409.842
|411.141
|413.092
|414.391
|417.641
|-
|-
|3
| | 3
|586.724
| | 542.569-552.319
|587.934
|547.819-557.569
|589.058
|565.974-575.726
|591.599
|569.502-579.252
|593.933
|578.184-587.934
|596.474
|584.183-593.933
|599.987
|586.724-596.474
|604.862
|599.987-609.737
|609.737
|609.888-619.638
|609.888
|616.711-626.461
|614.763
|616.711
|619.638
|621.586
|626.461
|-
|-
|4
| | 4
|782.298
| | 723.425-736.425
|783.912
|730.425-743.425
|785.41
|754.634-767.634
|788.798
|759.336-772.336
|791.91
|770.912-783.912
|795.298
|779.41-791.91
|799.982
|782.298-795.298
|806.482
|799.982-812.982
|812.982
|813.1835-826.1835
|813.1835
|822.282-835.282
|819.6835
|822.282
|826.1835
|828.782
|835.282
|-
|-
|5
| | 5
|977.872
| | 904.282-920.532
|979.8895
|913.031-929.281
|981.763
|943.293-959.543
|985.998
|949.17-965.42
|989.888
|963.6935-979.8895
|994.123
|973.638-989.888
|999.978
|977.872-994.123
|1008.103
|999.978-1016.228
|1016.228
|1016.479-1032.729
|1016.479
|1027.852-1044.102
|1024.604
|1027.852
|1032.729
|1035.977
|1044.102
|-
|-
|6
| | 6
|1173.447
| | 1085.138-1104.638
|1175.867
|1095.637-1115.137
|1178.115
|1131.951-1151.451
|1183.197
|1139.004-1158.503
|1189.865
|1156.367-1175.867
|1192.947
|1168.365-1189.865
|1199.973
|1173.447-1192.947
|1209.723
|1199.973-1219.473
|1219.473
|1219.775-1239.275
|1219.775
|1233.422-1252.922
|1229.525
|1233.422
|1239.275
|1243.172
|1252.922
|-
|-
|7
| | 7
|1369.022
| | 1265.9945-1288.7445
|1371.845
|1278.2435-1300.9935
|1374.468
|1320.61-1343.36
|1380.397
|1328.838-1351.588
|1385.843
|1349.095-1371.845
|1391.772
|1363.093-1385.843
|1399.968
|1369.022-1391.772
|1411.344
|1399.968-1422.719
|1422.719
|1423.071-1445.821
|1423.071
|1438.993-1461.743
|1434.446
|1438.993
|1445.821
|1450.368
|1461.743
|}
|}
[[Category:EdX]]
[[Category:EdX]]

Revision as of 18:55, 25 November 2018

This is the neutral scale of the Vesuvius temperament family.

Intervals

Degrees Minor mode Vesuvius temperament Neutral mode Vesuvius temperament Major mode Vesuvius temperament
Aeolian-Dorian Dorian Dorian-Mixolydian Mixolydian Mixolydian-Ionian
Subpental Pental Superpental Subpental Pental Superpental
Soft Intense
Minimum Maximum Minimum Maximum Minimum Maximum Minimum Maximum Minimum Maximum Minimum Maximum Minimum Maximum Minimum Maximum Minimum Maximum Minimum Maximum
1 180 183.333 187.5 190.909 192.857 195 196.875 200 201.724 206.897 210
2 360 366.667 375 381.818 385.714 390 393.75 400 403.448 413.793 420
3 540 550 562.5 572.727 578.571 585 590.625 600 605.172 620.69 630
4 720 733.333 750 763.636 771.429 780 787.5 800 806.897 827.586 840
5 900 916.667 937.5 954.5455 964.286 975 984.375 1000 1008.621 1034.483 1050
6 1080 1100 1125 1145.4545 1157.143 1170 1181.25 1200 1210.345 1241.379 1260
7 1260 1283.333 1312.5 1336.364 1350 1365 1378.125 1400 1412.069 1448.276 1470

Most harmonic tunings

Degrees Minor mode Vesuvius temperament Neutral mode Vesuvius temperament Major mode Vesuvius temperament
7/3±13¢ 22/9±13¢ 5/2±13¢
1 181.734-184.984 191.801-195.051 196.664-199.914
2 363.468-369.968 383.602-390.102 393.328-399.828
3 545.202-554.952 575.403-585.153 589.993-599.743
4 726.9355-739.9355 767.204-780.204 786.657-799.657
5 908.669-922.919 959.005-975.255 983.321-999.571
6 1090.403-1109.903 1150.806-1170.306 1179.985-1199.485
7 1272.137-1294.387 1342.607-1365.357 1376.6495-1399.3995

Golden tunings±13¢

Degrees Minor mode Vesuvius temperament Neutral mode Vesuvius temperament Major mode Vesuvius temperament
Aeolian-Dorian Dorian Dorian-Mixolydian Mixolydian Mixolydian-Ionian
Subpental Pental Superpental Subpental Pental Superpental
Soft Intense
1 180.856-184.106 182.606-185.856 188.2585-191.9085 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
2 361.712-368.213 365.212-371.712 377.317-383.817 379.668-386.168 385.456-391.956 389.455-395.955 391.149-397.649 399.991-406.491 406.592-413.092 411.141-417.641
3 542.569-552.319 547.819-557.569 565.974-575.726 569.502-579.252 578.184-587.934 584.183-593.933 586.724-596.474 599.987-609.737 609.888-619.638 616.711-626.461
4 723.425-736.425 730.425-743.425 754.634-767.634 759.336-772.336 770.912-783.912 779.41-791.91 782.298-795.298 799.982-812.982 813.1835-826.1835 822.282-835.282
5 904.282-920.532 913.031-929.281 943.293-959.543 949.17-965.42 963.6935-979.8895 973.638-989.888 977.872-994.123 999.978-1016.228 1016.479-1032.729 1027.852-1044.102
6 1085.138-1104.638 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 1265.9945-1288.7445 1278.2435-1300.9935 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
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