User:Moremajorthanmajor/8edX: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Xenwolf (talk | contribs)
autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops
8,705 edits
m +cat
No edit summary
Line 137: Line 137:
| | 1470
| | 1470
|}
|}
Golden tunings
Most harmonic tunings
{| class="wikitable"
|-
! rowspan="2" |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
|363.468-396.968
|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
|959.005-973.255
|983.321-997.571
|-
| |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


Minor mode Vesuvius temperament
{| class="wikitable"
{| class="wikitable"
|+
|+
! rowspan="4" |Degrees
! rowspan="3" |Degrees
! colspan="4" |Minor mode Vesuvius temperament
! colspan="3" |Aeolian-Dorian
!Neutral mode Vesuvius temperament
! colspan="9" |Dorian
! colspan="5" |Major mode Vesuvius temperament
|-
|-
! rowspan="3" |Aeolian-Dorian
! rowspan="2" |-13¢
! colspan="3" |Dorian
! rowspan="2" |Mean
! rowspan="3" |Dorian-Mixolydian
! rowspan="2" |-13¢ (s5D)
! colspan="4" |Mixolydian
! colspan="3" |Subpental
! rowspan="3" |Mixolydian-Ionian
! colspan="3" |Pental
! colspan="3" |Superpental
|-
|-
! rowspan="2" |Subpental
!+13¢ (A-D)
! rowspan="2" |Pental
!Mean
! rowspan="2" |Superpental
!+13¢
! rowspan="2" |Subpental
!-13¢
! rowspan="2" |Pental
!-13¢ (S5)
! colspan="2" |Superpental
!Mean
|-
!Mean
!Soft
!+13¢ (5)
!Intense
!-13¢ (D-M)
|-
|-
|1
|1
|180.856
|182.481
|182.481
|182.606
|184.106
|184.231
|184.231
|185.856
|188.2585
|189.834
|190.2835
|190.2835
|191.459
|191.459
|191.9085
|192.728
|-
|2
|361.712
|364.962
|365.212
|367.213
|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
|1131.957
|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
|194.353
|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
! colspan="13" |Mixolydian
! colspan="2" |Mixolydian-Ionian
|-
! colspan="3" |Subpental
! colspan="4" |Pental
! colspan="6" |Superpental
! rowspan="3" |Mean
! rowspan="3" |+13¢
|-
! rowspan="2" |-13¢ (5)
! rowspan="2" |+13¢ (D-M)
! rowspan="2" |Mean
! rowspan="2" |Mean
! rowspan="2" |+13¢ (s5)
! rowspan="2" |+13¢
! rowspan="2" |-13¢ (Soft s5)
! rowspan="2" |Soft
! colspan="5" |Intense
|-
!+13¢ (Soft s5)
!-13¢
!Mean
!-13¢ (M-I)
!+13¢ (Int S5M)
|-
|1
|195.5745
|195.978
|196.3525
|196.3525
|197.1995
|197.1995
|197.9775
|198.8245
|199.9955
|201.6205
|201.6205
|203.2455
|203.296
|204.921
|204.921
|205.57
|206.546
|207.195
|207.195
|208.82
|-
|-
|2
|2
|364.962
|391.149
|368.462
|391.956
|380.567
|382.918
|388.706
|392.705
|392.705
|394.399
|394.399
|395.955
|397.649
|399.991
|403.241
|403.241
|406.491
|406.592
|409.842
|409.842
|411.141
|413.092
|414.391
|414.391
|417.641
|-
|-
|3
|3
|547.444
|586.724
|552.694
|587.934
|570.851
|574.377
|583.059
|589.058
|589.058
|591.599
|591.599
|593.933
|596.474
|599.987
|604.862
|604.862
|609.737
|609.888
|614.763
|614.763
|616.711
|691.638
|621.586
|621.586
|626.461
|-
|-
|4
|4
|729.925
|782.298
|736.925
|783.912
|761.134
|765.836
|777.412
|785.41
|785.41
|788.798
|788.798
|791.91
|795.298
|799.982
|806.482
|806.482
|812.982
|813.1835
|819.6835
|819.6835
|828.781
|822.282
|826.1835
|828.782
|835.282
|-
|-
|5
|5
|912.407
|977.872
|921.156
|979.8895
|951.418
|957.295
|971.7645
|981.763
|981.763
|985.998
|985.998
|989.888
|994.123
|999.978
|1008.103
|1008.103
|1016.228
|1016.479
|1024.604
|1024.604
|1027.852
|1032.729
|1035.977
|1035.977
|1044.102
|-
|-
|6
|6
|1094.888
|1173.447
|1105.387
|1175.867
|1141.701
|1148.753
|1166.117
|1178.115
|1178.115
|1183.197
|1183.197
|1189.865
|1192.947
|1199.973
|1209.723
|1209.723
|1219.473
|1219.775
|1229.525
|1229.525
|1233.422
|1239.275
|1243.172
|1243.172
|1252.922
|-
|-
|7
|7
|1277.3965
|1369.022
|1289.6185
|1371.845
|1331.985
|1340.213
|1360.47
|1374.468
|1374.468
|1380.397
|1380.397
|1385.843
|1391.772
|1399.968
|1411.344
|1411.344
|1422.719
|1423.071
|1434.446
|1434.446
|1438.993
|1445.821
|1450.368
|1450.368
|1461.743
|}
|}


[[Category:EdX]]
[[Category:EdX]]

Revision as of 19:55, 5 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
2 363.468-396.968 383.602-390.102 393.328-399.828
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
5 908.669-922.919 959.005-973.255 983.321-997.571
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

Minor mode Vesuvius temperament

Degrees Aeolian-Dorian Dorian
-13¢ Mean -13¢ (s5D) Subpental Pental 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
2 361.712 364.962 365.212 367.213 368.462 371.712 377.317 379.668 380.567 382.918 383.817 385.456
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 1131.957 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

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

Degrees Mixolydian Mixolydian-Ionian
Subpental Pental Superpental Mean +13¢
-13¢ (5) +13¢ (D-M) Mean Mean +13¢ (s5) +13¢ -13¢ (Soft s5) Soft Intense
+13¢ (Soft s5) -13¢ Mean -13¢ (M-I) +13¢ (Int S5M)
1 195.5745 195.978 196.3525 197.1995 197.9775 198.8245 199.9955 201.6205 203.2455 203.296 204.921 205.57 206.546 207.195 208.82
2 391.149 391.956 392.705 394.399 395.955 397.649 399.991 403.241 406.491 406.592 409.842 411.141 413.092 414.391 417.641
3 586.724 587.934 589.058 591.599 593.933 596.474 599.987 604.862 609.737 609.888 614.763 616.711 691.638 621.586 626.461
4 782.298 783.912 785.41 788.798 791.91 795.298 799.982 806.482 812.982 813.1835 819.6835 822.282 826.1835 828.782 835.282
5 977.872 979.8895 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 1173.447 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 1369.022 1371.845 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
Retrieved from "https://en.xen.wiki/index.php?title=User:Moremajorthanmajor/8edX&oldid=38365"