User:Moremajorthanmajor/8edX: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
No edit summary
No edit summary
Line 2: Line 2:


==Intervals==
==Intervals==
 
{| class="wikitable" style="text-align: center"
{| class="wikitable"
! rowspan="3" |Degrees
! rowspan="5" |Degrees
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="8" |Minor mode Vesuvius temperament
! colspan="10" |Dorian
! colspan="2" |Neutral mode Vesuvius temperament
! colspan="10" |Major mode Vesuvius temperament
|-
|-
! colspan="2" rowspan="3" |Intense Aeolian-Dorian
! colspan="4" |Subpental
! colspan="6" |Dorian
! colspan="3" |Pental
! colspan="2" rowspan="3" |Dorian-Mixolydian
! colspan="3" |Superpental
! colspan="8" |Mixolydian
! colspan="2" rowspan="3" |Mixolydian-Ionian
|-
|-
! colspan="2" rowspan="2" |Subpental
!Min
! colspan="2" rowspan="2" |Pental
!Golden±13¢
! colspan="2" rowspan="2" |Superpental
!Max
! colspan="2" rowspan="2" |Subpental
!Min
! colspan="2" rowspan="2" |Pental
!7/3±13¢
! colspan="4" |Superpental
!Golden±13¢
!Max
!Min
!Golden±13¢
!Max
!Min
!Golden±13¢
!Max
|-
|-
! colspan="2" |Soft
|1
! colspan="2" |Intense
|180
|-
|180.856-184.106
! | Minimum
| colspan="2" |183.333
! | Maximum
|181.734-184.984
!Minimum
|182.606-185.856
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! | Maximum
!Minimum
!Maximum
! | Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! | Maximum
|-
| | 1
| | 180
| colspan="2" | 183.333
| colspan="2" |187.5
| colspan="2" |187.5
|188.2585-191.9085
| colspan="2" |190.909
| colspan="2" |190.909
| colspan="2" |192.857
|189.834-193.084
| colspan="2" | 195
|192.857
| colspan="2" |196.875
| colspan="2" |200
| colspan="2" |201.724
| colspan="2" |206.897
| | 210
|-
|-
| | 2
|2
| | 360
|360
| colspan="2" | 366.667
|361.712-368.213
| colspan="2" |366.667
|363.468-369.968
|365.212-371.712
| colspan="2" |375
| colspan="2" |375
|377.317-383.817
| colspan="2" |381.818
| colspan="2" |381.818
| colspan="2" |385.714
|379.668-386.168
| colspan="2" | 390
|385.714
| colspan="2" |393.75
| colspan="2" |400
| colspan="2" |403.448
| colspan="2" |413.793
| | 420
|-
|-
| | 3
|3
| | 540
|540
| colspan="2" | 550
|542.569-552.319
| colspan="2" |550
|545.202-554.952
|547.819-557.569
| colspan="2" |562.5
| colspan="2" |562.5
|565.974-575.726
| colspan="2" |572.727
| colspan="2" |572.727
| colspan="2" |578.571
|569.502-579.252
| colspan="2" | 585
|578.571
| colspan="2" |590.625
| colspan="2" |600
| colspan="2" |605.172
| colspan="2" |620.69
| | 630
|-
|-
| | 4
|4
| | 720
|720
| colspan="2" | 733.333
|723.425-736.425
| colspan="2" |733.333
|726.9355-739.9355
|730.425-743.425
| colspan="2" |750
| colspan="2" |750
|754.634-767.634
| colspan="2" |763.636
| colspan="2" |763.636
| colspan="2" |771.429
|759.336-771.336
| colspan="2" | 780
|771.429
| colspan="2" |787.5
| colspan="2" |800
| colspan="2" |806.897
| colspan="2" |827.586
| | 840
|-
|-
| | 5
|5
| | 900
|900
| colspan="2" | 916.667
|904.282-920.532
| colspan="2" |916.667
|908.669-924.919
|913.031-920.281
| colspan="2" |937.5
| colspan="2" |937.5
|943.293-959.543
| colspan="2" |954.5455
| colspan="2" |954.5455
| colspan="2" |964.286
|949.17-965.42
| colspan="2" | 975
|964.286
| colspan="2" |984.375
| colspan="2" |1000
| colspan="2" |1008.621
| colspan="2" |1034.483
| | 1050
|-
|-
| | 6
|6
| | 1080
|1080
| colspan="2" | 1100
|1085.138-1104.638
| colspan="2" |1100
|1090.403-1109.903
|1095.637-1115.137
| colspan="2" |1125
| colspan="2" |1125
|1131.951-1151.451
| colspan="2" |1145.4545
| colspan="2" |1145.4545
| colspan="2" |1157.143
|1139.004-1158.503
| colspan="2" | 1170
|1157.143
| colspan="2" |1181.25
| colspan="2" |1200
| colspan="2" |1210.345
| colspan="2" |1241.379
| | 1260
|-
|-
| | 7
|7
| | 1260
|1260
| colspan="2" | 1283.333
|1265.9945-1288.7445
| colspan="2" |1283.333
|1272.137-1294.887
|1278.2435-1300.9935
| colspan="2" |1312.5
| colspan="2" |1312.5
|1320.61-1343.36
| colspan="2" |1336.364
| colspan="2" |1336.364
| colspan="2" |1350
|1328.838-1351.588
| colspan="2" | 1365
|1350
| colspan="2" |1378.125
| colspan="2" |1400
| colspan="2" |1412.069
| colspan="2" |1448.276
| | 1470
|}
|}
Most harmonic tunings
{| class="wikitable" style="text-align: center"
{| class="wikitable"
!Degrees
|-
!Min
! rowspan="2" |Degrees
!Minor mode Vesuvius temperament
!Neutral mode Vesuvius temperament
!Major mode Vesuvius temperament
|-
!7/3±13¢
!22/9±13¢
!22/9±13¢
!5/2±13¢
!Golden±13¢
!Max
|-
|-
| |1
|1
|181.734-184.984
|192.857
|191.801-195.051
|191.801-195.051
|196.664-199.914
|192.728-195.978
|195
|-
|-
| |2
|2
|363.468-369.968
|385.714
|383.602-390.102
|383.602-390.102
|393.328-399.828
|385.456-391.956
|390
|-
|-
| |3
|3
|545.202-554.952
|578.571
|575.403-585.153
|575.403-585.153
|589.993-599.743
|578.184-587.934
|585
|-
|-
| |4
|4
|726.9355-739.9355
|771.429
|767.204-780.204
|767.204-780.204
|786.657-799.657
|770.912-783.912
|780
|-
|-
| |5
|5
|908.669-922.919
|964.286
|959.005-975.255
|959.005-975.255
|983.321-999.571
|963.6935-979.8895
|975
|-
|-
| |6
|6
|1090.403-1109.903
|1157.143
|1150.806-1170.306
|1150.806-1170.306
|1179.985-1199.485
|1156.367-1175.867
|1170
|-
|-
| |7
|7
|1272.137-1294.387
|1350
|1342.607-1365.357
|1342.607-1365.357
|1376.6495-1399.3995
|1349.095-1371.845
|}Golden tunings±13¢
|1365
 
|}
{| class="wikitable"
{| class="wikitable" style="text-align: center"
|-
! rowspan="4" |Degrees
! rowspan="4" |Degrees
! colspan="4" |Minor mode Vesuvius temperament
! colspan="13" |Mixolydian
!Neutral mode Vesuvius temperament
! colspan="3" rowspan="3" |Mixolydian-Ionian
! colspan="5" |Major mode Vesuvius temperament
|-
|-
! rowspan="3" |Intense Aeolian-Dorian
! colspan="3" rowspan="2" |Subpental
! colspan="3" |Dorian
! colspan="4" rowspan="2" |Pental
! rowspan="3" |Dorian-Mixolydian
! colspan="6" |Superpental
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
|-
! rowspan="2" |Subpental
! colspan="3" |Soft
! rowspan="2" |Pental
! colspan="3" |Intense
! rowspan="2" |Superpental
! rowspan="2" |Subpental
! rowspan="2" |Pental
! colspan="2" |Superpental
|-
|-
!Soft
! width="4%" |Min
!Intense
!Golden±13¢
! width="4%" |Max
! width="4%" |Min
!Golden±13¢
!5/2±13¢
! width="4%" |Max
! width="4%" |Min
!Golden±13¢
! width="4%" |Max
! width="4%" |Min
!Golden±13¢
! width="4%" |Max
!Min
!Golden±13¢
!Max
|-
|-
| | 1
| |1
| | 180.856-184.106
|195
|182.606-185.856
|188.2585-191.9085
|189.834-193.084
|192.728-195.978
|194.7275-197.9775
|194.7275-197.9775
| colspan="2" |196.875
|195.5745-198.8245
|195.5745-198.8245
|196.664-199.914
| colspan="2" |200
|199.9955-203.2455
|199.9955-203.2455
| colspan="2" |201.724
|203.296-206.546
|203.296-206.546
| colspan="2" |206.897
|205.57-208.82
|205.57-208.82
|210
|-
|-
| | 2
| |2
| |361.712-368.213
|390
|365.212-371.712
|377.317-383.817
|379.668-386.168
|385.456-391.956
|389.455-395.955
|389.455-395.955
| colspan="2" |393.75
|391.149-397.649
|391.149-397.649
|393.328-399.828
| colspan="2" |400
|399.991-406.491
|399.991-406.491
| colspan="2" |403.448
|406.592-413.092
|406.592-413.092
| colspan="2" |413.793
|411.141-417.641
|411.141-417.641
|420
|-
|-
| | 3
| |3
| | 542.569-552.319
|585
|547.819-557.569
|565.974-575.726
|569.502-579.252
|578.184-587.934
|584.183-593.933
|584.183-593.933
| colspan="2" |590.625
|586.724-596.474
|586.724-596.474
|589.993-599.743
| colspan="2" |600
|599.987-609.737
|599.987-609.737
| colspan="2" |605.172
|609.888-619.638
|609.888-619.638
| colspan="2" |620.69
|616.711-626.461
|616.711-626.461
|630
|-
|-
| | 4
|4
| | 723.425-736.425
|780
|730.425-743.425
|778.91-791.91
|754.634-767.634
| colspan="2" |787.5
|759.336-772.336
|782.298-795.298.
|770.912-783.912
|786.657-799.657
|779.41-791.91
| colspan="2" |800
|782.298-795.298
|799.982-812.982
|799.982-812.982
| colspan="2" |806.897
|813.1835-826.1835
|813.1835-826.1835
| colspan="2" |827.586
|822.282-835.282
|822.282-835.282
|840
|-
|-
| | 5
|5
| | 904.282-920.532
|975
|913.031-929.281
|943.293-959.543
|949.17-965.42
|963.6935-979.8895
|973.638-989.888
|973.638-989.888
|977.872-994.123
| colspan="2" |984.375
|999.978-1016.228
|977.873-994.123
|983.321-999.571
| colspan="2" |1000
|999.978-1016.238
| colspan="2" |1008.621
|1016.479-1032.729
|1016.479-1032.729
| colspan="2" |1034.483
|1027.852-1044.102
|1027.852-1044.102
|1050
|-
|-
| | 6
|6
| | 1085.138-1104.638
|1170
|1095.637-1115.137
|1168.365-1187.865
|1131.951-1151.451
| colspan="2" |1181.25
|1139.004-1158.503
|1156.367-1175.867
|1168.365-1189.865
|1173.447-1192.947
|1173.447-1192.947
|1179.985-1199.485
| colspan="2" |1200
|1199.973-1219.473
|1199.973-1219.473
| colspan="2" |1210.345
|1219.775-1239.275
|1219.775-1239.275
| colspan="2" |1241.379
|1233.422-1252.922
|1233.422-1252.922
|1260
|-
|-
| | 7
|7
| | 1265.9945-1288.7445
|1365
|1278.2435-1300.9935
|1320.61-1343.36
|1328.838-1351.588
|1349.095-1371.845
|1363.093-1385.843
|1363.093-1385.843
| colspan="2" |1378.125
|1369.022-1391.772
|1369.022-1391.772
|1376.6495-1399.3995
| colspan="2" |1400
|1399.968-1422.719
|1399.968-1422.719
| colspan="2" |1412.069
|1423.071-1445.821
|1423.071-1445.821
| colspan="2" |1448.276
|1438.993-1461.743
|1438.993-1461.743
|1470
|}
|}
[[Category:EdX]]
[[Category:EdX]]

Revision as of 23:26, 22 December 2018

This is the neutral scale of the Vesuvius temperament family.

Intervals

Degrees Intense Aeolian-Subpental Dorian Dorian
Subpental Pental Superpental
Min Golden±13¢ Max Min 7/3±13¢ Golden±13¢ Max Min Golden±13¢ Max Min Golden±13¢ Max
1 180 180.856-184.106 183.333 181.734-184.984 182.606-185.856 187.5 188.2585-191.9085 190.909 189.834-193.084 192.857
2 360 361.712-368.213 366.667 363.468-369.968 365.212-371.712 375 377.317-383.817 381.818 379.668-386.168 385.714
3 540 542.569-552.319 550 545.202-554.952 547.819-557.569 562.5 565.974-575.726 572.727 569.502-579.252 578.571
4 720 723.425-736.425 733.333 726.9355-739.9355 730.425-743.425 750 754.634-767.634 763.636 759.336-771.336 771.429
5 900 904.282-920.532 916.667 908.669-924.919 913.031-920.281 937.5 943.293-959.543 954.5455 949.17-965.42 964.286
6 1080 1085.138-1104.638 1100 1090.403-1109.903 1095.637-1115.137 1125 1131.951-1151.451 1145.4545 1139.004-1158.503 1157.143
7 1260 1265.9945-1288.7445 1283.333 1272.137-1294.887 1278.2435-1300.9935 1312.5 1320.61-1343.36 1336.364 1328.838-1351.588 1350
Degrees Min 22/9±13¢ Golden±13¢ Max
1 192.857 191.801-195.051 192.728-195.978 195
2 385.714 383.602-390.102 385.456-391.956 390
3 578.571 575.403-585.153 578.184-587.934 585
4 771.429 767.204-780.204 770.912-783.912 780
5 964.286 959.005-975.255 963.6935-979.8895 975
6 1157.143 1150.806-1170.306 1156.367-1175.867 1170
7 1350 1342.607-1365.357 1349.095-1371.845 1365
Degrees Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
Min Golden±13¢ Max Min Golden±13¢ 5/2±13¢ Max Min Golden±13¢ Max Min Golden±13¢ Max Min Golden±13¢ Max
1 195 194.7275-197.9775 196.875 195.5745-198.8245 196.664-199.914 200 199.9955-203.2455 201.724 203.296-206.546 206.897 205.57-208.82 210
2 390 389.455-395.955 393.75 391.149-397.649 393.328-399.828 400 399.991-406.491 403.448 406.592-413.092 413.793 411.141-417.641 420
3 585 584.183-593.933 590.625 586.724-596.474 589.993-599.743 600 599.987-609.737 605.172 609.888-619.638 620.69 616.711-626.461 630
4 780 778.91-791.91 787.5 782.298-795.298. 786.657-799.657 800 799.982-812.982 806.897 813.1835-826.1835 827.586 822.282-835.282 840
5 975 973.638-989.888 984.375 977.873-994.123 983.321-999.571 1000 999.978-1016.238 1008.621 1016.479-1032.729 1034.483 1027.852-1044.102 1050
6 1170 1168.365-1187.865 1181.25 1173.447-1192.947 1179.985-1199.485 1200 1199.973-1219.473 1210.345 1219.775-1239.275 1241.379 1233.422-1252.922 1260
7 1365 1363.093-1385.843 1378.125 1369.022-1391.772 1376.6495-1399.3995 1400 1399.968-1422.719 1412.069 1423.071-1445.821 1448.276 1438.993-1461.743 1470
Retrieved from "https://en.xen.wiki/index.php?title=User:Moremajorthanmajor/8edX&oldid=39123"