User:Moremajorthanmajor/8edX: Difference between revisions

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{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! colspan="4" rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="9" |Dorian
! colspan="9" |Dorian
|-
|-
Line 11: Line 11:
! colspan="3" |Superpental
! colspan="3" |Superpental
|-
|-
!Min
!Min-comma
!Golden±13¢
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
|-
|1
|176.25-180
|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
|352.5-360
|364.286
| 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
|528.75-540
|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
|705-720
|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
|881.75-900
|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
|1057.5-1080
|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
|1233.75-1260
|1275
| 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
!''r¢''
!''r¢''
!Max
!Med
!Min
!Max+comma
!Golden±13¢
!Min-comma
!Max
!Med
!Min
!Max+comma
!Golden±13¢
|-
!Max
|1
!Min
|189.107-192.857
!Golden±13¢
| colspan="2" |''193.75''
!Max
| colspan="2" |190.368-197.868
|194.444
|195-198.75
|-
|2
|378.214-385.714
| colspan="2" |''387.5''
| colspan="2" |380.735-395.735
|388.889
|390-397.5
|-
|3
|567.321-578.571
| colspan="2" |''581.25''
| colspan="2" |571.103-593.603
|583.333
|585-596.25
|-
|4
|756.429-771.429
| colspan="2" |''775''
| colspan="2" |761.471-791.471
|777.778
|780-795
|-
|5
|945.536-964.286
| colspan="2" |''968.75''
| colspan="2" |951.738-989.238
|972.222
|975-993.75
|-
|6
|1134.643-1157.143
| colspan="2" |''1162.5''
| colspan="2" |1142.203-1167.206
|1166.667
|1170-1192.5
|-
|7
|1323.75-1350
| colspan="2" |''1356.25''
| colspan="2" |1332.5735-1387.0735
|1361.111
|1365-1391.25
|}
{| class="wikitable" style="text-align: center"
|-
! rowspan="4" |Degrees
! colspan="12" |Mixolydian
! colspan="3" rowspan="3" |Mixolydian-Ionian
|-
! colspan="3" rowspan="2" |Subpental
! colspan="3" rowspan="2" |Pental
! colspan="6" |Superpental
|-
! colspan="3" |Soft
! colspan="3" |Intense
|-
! 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
! width="4%" |Min-comma
!Med
! width="4%" |Max+comma
!Min-comma
!Med
!Max+comma
|-
| |1
|191.25-195
|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
|382.5-390
|392.308
| 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
|573.75-585
|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
|765-780
|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
|956.25-975
|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
|1147.5-1170
|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
|1338.25-1365
|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
|-
|-
|1
|181.25
|187.5
|200
|206.25
|-
|2
|362.5
|375
|400
|412.5
|-
|3
|543.75
|562.5
|600
|618.75
|-
|4
|543.75
|750
|800
|825
|-
|5
|906.25
|937.5
|1000
|1031.25
|-
|6
|1087.5
|1125
|1200
|1237.5
|-
|7
|1268.75
|1312.5
|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
!Pental
!Superpental
|-
|-
|1
|1
|180
|180.856-184.106
|180.856-184.106
|''181.25''
| colspan="2" |183.333
|182.606-185.856
|182.606-185.856
| colspan="2" |''187.5''
|188.2585-191.9085
|188.2585-191.9085
| colspan="2" |190.909
|189.834-193.084
|189.834-193.084
|192.857
|-
|-
|2
|2
|360
|361.712-368.213
|361.712-368.213
|''362.5''
| colspan="2" |366.667
|365.212-371.712
|365.212-371.712
| colspan="2" |''375''
|377.317-383.817
|377.317-383.817
| colspan="2" |381.818
|379.668-386.168
|379.668-386.168
|385.714
|-
|-
|3
|3
|540
|542.569-552.319
|542.569-552.319
|''543.75''
| colspan="2" |550
|547.819-557.569
|547.819-557.569
| colspan="2" |''562.5''
|565.974-575.726
|565.974-575.726
| colspan="2" |572.727
|569.502-579.252
|569.502-579.252
|578.571
|-
|-
|4
|4
|720
|723.425-736.425
|723.425-736.425
|''543.75''
| colspan="2" |733.333
|730.425-743.425
|730.425-743.425
| colspan="2" |''750''
|754.634-767.634
|754.634-767.634
| colspan="2" |763.636
|759.336-771.336
|759.336-771.336
|771.429
|-
|-
|5
|5
|900
|904.282-920.532
|904.282-920.532
|''906.25''
| colspan="2" |916.667
|913.031-920.281
|913.031-920.281
| colspan="2" |''937.5''
|943.293-959.543
|943.293-959.543
| colspan="2" |954.5455
|949.17-965.42
|949.17-965.42
|964.286
|-
|-
|6
|6
|1080
|1085.138-1104.638
|1085.138-1104.638
|''1087.5''
| colspan="2" |1100
|1095.637-1115.137
|1095.637-1115.137
| colspan="2" |''1125''
|1131.951-1151.451
|1131.951-1151.451
| colspan="2" |1145.4545
|1139.004-1158.503
|1139.004-1158.503
|1157.143
|-
|-
|7
|7
|1260
|1265.9945-1288.7445
|1265.9945-1288.7445
|''1268.75''
| colspan="2" |1283.333
|1278.2435-1300.9935
|1278.2435-1300.9935
| colspan="2" |''1312.5''
|1320.61-1343.36
|1320.61-1343.36
| colspan="2" |1336.364
|1328.838-1351.588
|1328.838-1351.588
|1350
|}
|}
{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
!Degrees
! rowspan="2" |Degrees
!Min
!Mohajira
!Golden±13¢
!Beatles
!''r¢''
|-
!Max
|-
|-
|1
|1
|192.857
|193.699-196.949
|192.728-195.978
|194.19-197.44
|''193.75''
|195
|-
|-
|2
|2
|385.714
|387.399-393.899
|385.456-391.956
|388.381-394.881
|''387.5''
|390
|-
|-
|3
|3
|578.571
|581.098-590.848
|578.184-587.934
|582.571-592.321
|''581.25''
|585
|-
|-
|4
|4
|771.429
|777.798-787.798
|770.912-783.912
|776.762-789.762
|''775''
|780
|-
|-
|5
|5
|964.286
|968.497-984.747
|963.6935-979.8895
|970.952-987.202
|''968.75''
|975
|-
|-
|6
|6
|1157.143
|1162.197-1181.697
|1156.367-1175.867
|1165.142-1184.642
|''1162.5''
|1170
|-
|-
|7
|7
|1350
|1355.896-1378.646
|1349.095-1371.845
|1359.333-1382.083
|''1356.25''
|1365
|}
|}
{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
|-
|-
! rowspan="4" |Degrees
! rowspan="3" |Degrees
! colspan="13" |Mixolydian
! colspan="4" |Mixolydian
! colspan="3" rowspan="3" |Mixolydian-Ionian
! rowspan="3" |Mixolydian-Ionian
|-
! colspan="3" rowspan="2" |Subpental
! colspan="3" rowspan="2" |Pental
! colspan="7" |Superpental
|-
|-
! colspan="3" |Soft
! rowspan="2" |Subpental
! colspan="4" |Intense
! rowspan="2" |Pental
! colspan="2" |Superpental
|-
|-
! width="4%" |Min
!Soft
!Golden±13¢
!Intense
! width="4%" |Max
! width="4%" |Min
!Golden±13¢
! width="4%" |Max
! width="4%" |Min
!Golden±13¢
! width="4%" |Max
! width="4%" |Min
!Golden±13¢
!''r¢''
! width="4%" |Max
!Min
!Golden±13¢
!Max
|-
|-
| |1
| |1
|195
|194.7275-197.9775
|194.7275-197.9775
| colspan="2" |196.875
|195.5745-198.8245
|195.5745-198.8245
| colspan="2" |''200''
|199.9955-203.2455
|199.9955-203.2455
| colspan="2" |201.724
|203.296-206.546
|203.296-206.546
|''206.25''
| colspan="2" |206.897
|205.57-208.82
|205.57-208.82
|210
|-
|-
| |2
| |2
|390
|389.455-395.955
|389.455-395.955
| colspan="2" |393.75
|391.149-397.649
|391.149-397.649
| colspan="2" |''400''
|399.991-406.491
|399.991-406.491
| colspan="2" |403.448
|406.592-413.092
|406.592-413.092
|''412.5''
| colspan="2" |413.793
|411.141-417.641
|411.141-417.641
|420
|-
|-
| |3
| |3
|585
|584.183-593.933
|584.183-593.933
| colspan="2" |590.625
|586.724-596.474
|586.724-596.474
| colspan="2" |''600''
|599.987-609.737
|599.987-609.737
| colspan="2" |605.172
|609.888-619.638
|609.888-619.638
|''618.75''
| colspan="2" |620.69
|616.711-626.461
|616.711-626.461
|630
|-
|-
|4
|4
|780
|778.91-791.91
|778.91-791.91
| colspan="2" |787.5
|782.298-795.298.
|782.298-795.298.
| colspan="2" |''800''
|799.982-812.982
|799.982-812.982
| colspan="2" |806.897
|813.1835-826.1835
|813.1835-826.1835
|''825''
| colspan="2" |827.586
|822.282-835.282
|822.282-835.282
|840
|-
|-
|5
|5
|975
|973.638-989.888
|973.638-989.888
| colspan="2" |984.375
|977.873-994.123
|977.873-994.123
| colspan="2" |''1000''
|999.978-1016.238
|999.978-1016.238
| colspan="2" |1008.621
|1016.479-1032.729
|1016.479-1032.729
|''1031.25''
| colspan="2" |1034.483
|1027.852-1044.102
|1027.852-1044.102
|1050
|-
|-
|6
|6
|1170
|1168.365-1187.865
|1168.365-1187.865
| colspan="2" |1181.25
|1173.447-1192.947
|1173.447-1192.947
| colspan="2" |''1200''
|1199.973-1219.473
|1199.973-1219.473
| colspan="2" |1210.345
|1219.775-1239.275
|1219.775-1239.275
|''1237.5''
| colspan="2" |1241.379
|1233.422-1252.922
|1233.422-1252.922
|1260
|-
|-
|7
|7
|1365
|1363.093-1385.843
|1363.093-1385.843
| colspan="2" |1378.125
|1369.022-1391.772
|1369.022-1391.772
| colspan="2" |''1400''
|1399.968-1422.719
|1399.968-1422.719
| colspan="2" |1412.069
|1423.071-1445.821
|1423.071-1445.821
|''1443.75''
| colspan="2" |1448.276
|1438.993-1461.743
|1438.993-1461.743
|1470
|}
|}
[[Category:EdX]]
[[Category:EdX]]

Revision as of 23:17, 1 June 2019

This is the neutral scale of the Vesuvius temperament family.

Intervals

Degrees Intense Aeolian-Subpental Dorian Dorian
Subpental Pental Superpental
Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma
1 176.25-180 182.143 179.583-187.093 184.615 183.75-191.25 190 187.159-194.659 191.667 192.857-196.607
2 352.5-360 364.286 358.167-373.167 369.231 367.5-382.5 380 374.318-389.318 383.333 385.714-393.214
3 528.75-540 546-429 538.75-561.25 553.846 551.25-573.75 570 561.477-583.977 574 578.571-589.821
4 705-720 728.571 718.333-748.333 738.4615 735-765 760 748.636-778.636 765.667 771.429-786.429
5 881.75-900 910.714 897.917-935.417 923.071 918.75-956.25 950 935.7975-973.2975 957.333 964.286-983.036
6 1057.5-1080 1092.857 1077.5-1122.5 1107.692 1102.5-1147.5 1140 1122.9545-1167.9545 1148 1157.143-1179.643
7 1233.75-1260 1275 1257.083-1309.583 1292.308 1286.25-1338.75 1330 1310.114-1362.614 1339.667 1350-1376.25
Degrees Mohajira Beatles
Min-comma Med Max+comma Min-comma Med Max+comma
1 189.107-192.857 193.75 190.368-197.868 194.444 195-198.75
2 378.214-385.714 387.5 380.735-395.735 388.889 390-397.5
3 567.321-578.571 581.25 571.103-593.603 583.333 585-596.25
4 756.429-771.429 775 761.471-791.471 777.778 780-795
5 945.536-964.286 968.75 951.738-989.238 972.222 975-993.75
6 1134.643-1157.143 1162.5 1142.203-1167.206 1166.667 1170-1192.5
7 1323.75-1350 1356.25 1332.5735-1387.0735 1361.111 1365-1391.25
Degrees Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma
1 191.25-195 196.154 193.125-200.625 197.368 196.25-203.75 201.5625 197.974-205.474 204.31 203.147-210.647 207.353 210-213.75
2 382.5-390 392.308 386.25-401.25 394.737 392.5-407.5 403.125 395.948-410.948 408.621 406.293-421.293 414.706 420-427.5
3 573.75-585 588.4615 579.375-601.875 592.105 588.75-611.25 604.6875 593.922-616.422 612.931 609.44-631.94 622.059 630-641.25
4 765-780 784.615 772.5-802.5 789.474 785-815 806.25 791.897-821.897 817.241 812.586-842.586 829.412 840-855
5 956.25-975 980.769 965.625-1003.125 986.842 981.25-1018.75 1007.8125 1004.871-1042.371 1021.552 1015.733-1053.233 1036.765 1050-1068.75
6 1147.5-1170 1176.923 1158.75-1203.75 1184.2105 1177.5-1222.5 1209.375 1187.845-1232.845 1225.862 1218.879-1263.879 1244.118 1260-1282.5
7 1338.25-1365 1373.077 1351.875-1404.375 1381.579 1373.75-1426.25 1410.9375 1385.819-1438.319 1430.172 1422.026-1474.526 1451.471 1470-1496.25

Relative cents

Degrees Intense Aeolian-Subpental Dorian Dorian Subpental-Soft Superpental Mixolydian Intense Superpental Mixolydian ~ Mixolydian-Ionian
1 181.25 187.5 200 206.25
2 362.5 375 400 412.5
3 543.75 562.5 600 618.75
4 543.75 750 800 825
5 906.25 937.5 1000 1031.25
6 1087.5 1125 1200 1237.5
7 1268.75 1312.5 1400 1443.75

Golden/Pyrite Tunings±13¢

Degrees Intense Aeolian-Subpental Dorian Dorian
Subpental Pental Superpental
1 180.856-184.106 182.606-185.856 188.2585-191.9085 189.834-193.084
2 361.712-368.213 365.212-371.712 377.317-383.817 379.668-386.168
3 542.569-552.319 547.819-557.569 565.974-575.726 569.502-579.252
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
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
Degrees Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
1 194.7275-197.9775 195.5745-198.8245 199.9955-203.2455 203.296-206.546 205.57-208.82
2 389.455-395.955 391.149-397.649 399.991-406.491 406.592-413.092 411.141-417.641
3 584.183-593.933 586.724-596.474 599.987-609.737 609.888-619.638 616.711-626.461
4 778.91-791.91 782.298-795.298. 799.982-812.982 813.1835-826.1835 822.282-835.282
5 973.638-989.888 977.873-994.123 999.978-1016.238 1016.479-1032.729 1027.852-1044.102
6 1168.365-1187.865 1173.447-1192.947 1199.973-1219.473 1219.775-1239.275 1233.422-1252.922
7 1363.093-1385.843 1369.022-1391.772 1399.968-1422.719 1423.071-1445.821 1438.993-1461.743