User:Moremajorthanmajor/8edX: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
! rowspan="5" |Degrees
! colspan="8" |Minor mode Vesuvius temperament
! colspan="2" |Neutral mode Vesuvius temperament
! colspan="10" |Major mode Vesuvius temperament
|-
! colspan="2" rowspan="3" |Aeolian-Dorian
! colspan="6" |Dorian
! colspan="2" rowspan="3" |Dorian-Mixolydian
! colspan="8" |Mixolydian
! colspan="2" rowspan="3" |Mixolydian-Ionian
|-
! colspan="2" rowspan="2" |Subpental
! colspan="2" rowspan="2" |Pental
! colspan="2" rowspan="2" |Superpental
! colspan="2" rowspan="2" |Subpental
! colspan="2" rowspan="2" |Pental
! colspan="4" |Superpental
|-
! colspan="2" |Soft
! colspan="2" |Intense
|-
|-
! | Degrees
! | Minimum
! | Minimum
! | ed(7/3)
! | Maximum
! | Mean/Median
!Minimum
! | Golden
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! | Maximum
!Minimum
!Maximum
! | Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! | Maximum
! | Maximum
|-
|-
| | 1
| | 1
| | 180
| | 180
| | 183.359
| colspan="2"| 183.333
| | 195
| colspan="2" |187.5
| | 198.541
| colspan="2" |190.909
| colspan="2" |192.857
|  colspan="2"| 195
| colspan="2" |196.875
| colspan="2" |200
| colspan="2" |201.724
| colspan="2" |206.897
| | 210
| | 210
|-
|-
| | 2
| | 2
| | 360
| | 360
| | 366.718
| colspan="2"| 366.667
| | 390
| colspan="2" |375
| | 397.082
| colspan="2" |381.818
| colspan="2" |385.714
|  colspan="2"| 390
| colspan="2" |393.75
| colspan="2" |400
| colspan="2" |403.448
| colspan="2" |413.793
| | 420
| | 420
|-
|-
| | 3
| | 3
| | 540
| | 540
| | 550.077
| colspan="2"| 550
| | 585
| colspan="2" |562.5
| | 595.623
| colspan="2" |572.727
| colspan="2" |578.571
| colspan="2"| 585
| colspan="2" |590.625
| colspan="2" |600
| colspan="2" |605.172
| colspan="2" |620.69
| | 630
| | 630
|-
|-
| | 4
| | 4
| | 720
| | 720
| | 733.435'5
| colspan="2"| 733.333
| | 780
| colspan="2" |750
| | 794.164
| colspan="2" |763.636
| colspan="2" |771.429
|  colspan="2"| 780
| colspan="2" |787.5
| colspan="2" |800
| colspan="2" |806.897
| colspan="2" |827.586
| | 840
| | 840
|-
|-
| | 5
| | 5
| | 900
| | 900
| | 916.794
| colspan="2"| 916.667
| | 975
| colspan="2" |937.5
| | 992.705
| colspan="2" |954.5455
| colspan="2" |964.286
|  colspan="2"| 975
| colspan="2" |984.375
| colspan="2" |1000
| colspan="2" |1008.621
| colspan="2" |1034.483
| | 1050
| | 1050
|-
|-
| | 6
| | 6
| | 1080
| | 1080
| | 1100.153
| colspan="2"| 1100
| | 1170
| colspan="2" |1125
| | 1191.246
| colspan="2" |1145.4545
| | 1220
| colspan="2" |1157.143
|  colspan="2"| 1170
| colspan="2" |1181.25
| colspan="2" |1200
| colspan="2" |1210.345
| colspan="2" |1241.379
| | 1260
|-
|-
| | 7
| | 7
| | 1260
| | 1260
| | 1283.512
| colspan="2"| 1283.333
| | 1365
| colspan="2" |1312.5
| | 1389.787
| colspan="2" |1336.364
| colspan="2" |1350
|  colspan="2"| 1365
| colspan="2" |1378.125
| colspan="2" |1400
| colspan="2" |1412.069
| colspan="2" |1448.276
| | 1470
| | 1470
|}
Golden tunings
{| class="wikitable"
|+
! rowspan="4" |Degrees
! colspan="4" |Minor mode Vesuvius temperament
!Neutral mode Vesuvius temperament
! colspan="5" |Major mode Vesuvius temperament
|-
! rowspan="3" |Aeolian-Dorian
! colspan="3" |Dorian
! rowspan="3" |Dorian-Mixolydian
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
! rowspan="2" |Subpental
! rowspan="2" |Pental
! rowspan="2" |Superpental
! rowspan="2" |Subpental
! rowspan="2" |Pental
! colspan="2" |Superpental
|-
!Soft
!Intense
|-
|1
|182.481
|186.18
|190.2835
|191.459
|194.353
|196.3525
|197.1995
|201.6205
|204.921
|207.195
|-
|2
|364.962
|372.361
|380.567
|382.918
|388.706
|392.705
|394.399
|403.241
|409.842
|414.391
|-
|3
|547.444
|558.541
|570.851
|574.377
|583.059
|589.058
|591.599
|604.862
|614.763
|621.586
|-
|4
|729.925
|744.721
|761.134
|765.836
|777.412
|785.41
|788.798
|806.482
|819.6835
|828.781
|-
|5
|912.407
|930.902
|951.418
|957.295
|971.7645
|981.763
|985.998
|1008.103
|1024.604
|1035.977
|-
|6
|1094.888
|1117.082
|1141.701
|1148.753
|1166.117
|1178.115
|1183.197
|1209.723
|1229.525
|1243.172
|-
|7
|1277.3965
|1303.262
|1331.985
|1340.213
|1360.47
|1374.468
|1380.397
|1411.344
|1434.446
|1450.368
|}
|}

Revision as of 02:15, 22 October 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

Golden tunings

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
1 182.481 186.18 190.2835 191.459 194.353 196.3525 197.1995 201.6205 204.921 207.195
2 364.962 372.361 380.567 382.918 388.706 392.705 394.399 403.241 409.842 414.391
3 547.444 558.541 570.851 574.377 583.059 589.058 591.599 604.862 614.763 621.586
4 729.925 744.721 761.134 765.836 777.412 785.41 788.798 806.482 819.6835 828.781
5 912.407 930.902 951.418 957.295 971.7645 981.763 985.998 1008.103 1024.604 1035.977
6 1094.888 1117.082 1141.701 1148.753 1166.117 1178.115 1183.197 1209.723 1229.525 1243.172
7 1277.3965 1303.262 1331.985 1340.213 1360.47 1374.468 1380.397 1411.344 1434.446 1450.368