User:Moremajorthanmajor/19edX: Difference between revisions

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==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable"
! rowspan="5" |Degrees
! colspan="2" rowspan="5" |Enneatonic
! colspan="8" |Minor mode Middletown temperament
! colspan="2" |Neutral mode Middletown temperament
! colspan="10" |Major mode Middletown temperament
|-
|-
! | Degrees
! colspan="2" rowspan="3" |Aeolian-Dorian
! | Enneatonic
! colspan="6" |Dorian
! | Minimum
! colspan="2" rowspan="3" |Dorian-Mixolydian
! | ed(7/3)
! colspan="8" |Mixolydian
! | Mean/Median
! colspan="2" rowspan="3" |Mixolydian-Ionian
! | Golden
! | Maximum
|-
|-
| | 1
! colspan="2" rowspan="2" |Subpental
| | Gb
! colspan="2" rowspan="2" |Pental
| | 75.7895
! colspan="2" rowspan="2" |Superpental
| | 77.204
! colspan="2" rowspan="2" |Subpental
| | 82.105
! colspan="2" rowspan="2" |Pental
| | 83.596
! colspan="4" |Superpental
| | 88.421
|-
|-
| | 2
! colspan="2" |Soft
| | F#
! colspan="2" |Intense
| | 151.579
| | 154.407'5
| | 164.210'5
| | 167.197
| | 176.842
|-
|-
| | 3
! |Minimum
| | G
! |Maximum
| | 227.368
!Minimum
| | 231.611
!Maximum
| | 246.316
!Minimum
| | 250.789
!Maximum
| | 265.263
!Minimum
!Maximum
!Minimum
! |Maximum
!Minimum
!Maximum
! |Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! |Maximum
|-
|-
| | 4
| |1
| | H
| colspan="2" |Gb
| | 303.158
| |75.7895
| | 308.815
| colspan="2" |77.193
| | 328.421
| colspan="2" |78.947
| | 334.385
| colspan="2" |80.383
| | 353.684
| colspan="2" |81.203
| colspan="2" |82.105
| colspan="2" |82.895
| colspan="2" |84.2105
| colspan="2" |84.9365
| colspan="2" |87.114
| |88.421
|-
|-
| | 5
| |2
| | Jb
| colspan="2" |F#
| | 378.947
| |151.579
| | 386.019
| colspan="2" |154.386
| | 410.526
| colspan="2" |157.895
| | 417.981
| colspan="2" |160.766
| | 442.105
| colspan="2" |162.406
| colspan="2" |164.2105
| colspan="2" |165.7896
| colspan="2" |168.421
| colspan="2" |169.873
| colspan="2" |174.229
| |176.842
|-
|-
| | 6
| |3
| | H#
| colspan="2" |G
| | 454.737
| |227.368
| | 463.222
| colspan="2" |231.579
| | 492.632
| colspan="2" |236.842
| | 501.577
| colspan="2" |241.148
| | 530.526
| colspan="2" |243.609
| colspan="2" |246.316
| colspan="2" |248.684
| colspan="2" |252.632
| colspan="2" |254.809
| colspan="2" |261.343
| |265.263
|-
|-
| | 7
| |4
| | J
|J
| | 530.526
|''A''
| | 540.426
| |303.158
| | 574.737
| colspan="2" |308.772
| | 585.173'5
| colspan="2" |315.7895
| | 618.947
| colspan="2" |321.531
| colspan="2" |324.812
| colspan="2" |328.421
| colspan="2" |331.579
| colspan="2" |336.842
| colspan="2" |339.746
| colspan="2" |348.457
| |353.684
|-
|-
| | 8
| |5
| | A
|Ab
| | 606.316
|''Bb''
| | 617.63
| |378.947
| | 656.842
| colspan="2" |385.965
| | 668.768
| colspan="2" |394.737
| | 707.368
| colspan="2" |401.914
| colspan="2" |406.015
| colspan="2" |410.526
| colspan="2" |414.474
| colspan="2" |421.053
| colspan="2" |424.682
| colspan="2" |435.527
| |442.105
|-
|-
| | 9
| |6
| | Bb
|J#
| | 682.105
|''A#''
| | 694.834
| |454.737
| | 738.947
| colspan="2" |463.158
| | 752.366
| colspan="2" |473.684
| | 795.789'5
| colspan="2" |482.297
| colspan="2" |487.218
| colspan="2" |492.632
| colspan="2" |497.368
| colspan="2" |505.263
| colspan="2" |509.619
| colspan="2" |522.686
| |530.526
|-
|-
| | 10
| |7
| | A#
|A
| | 757.895
|''B''
| | 772.037
| |530.526
| | 821.053
| colspan="2" |540.351
| | 835.962
| colspan="2" |552.632
| | 884.210'5
| colspan="2" |592.679
| colspan="2" |568.421
| colspan="2" |574.737
| colspan="2" |580.263
| colspan="2" |589.474
| colspan="2" |594.555
| colspan="2" |609.8
| |618.947
|-
|-
| | 11
|8
| | B
|B
| | 833.654
|''H''
| | 849.241
|606.316
| | 903.158
| colspan="2" |617.544
| | 919.558
| colspan="2" |631.579
| | 972.632
| colspan="2" |643.062
| colspan="2" |647.624
| colspan="2" |656.842
| colspan="2" |663.158
| colspan="2" |673.684
| colspan="2" |679.491
| colspan="2" |696.915
|707.368
|-
|-
| | 12
|9
| | C
|Hb
| | 909.474
|''Cb''
| | 926.445
|682.105
| | 985.263
| colspan="2" |694.737
| | 1003.155
| colspan="2" |710.526
| | 1061.053
| colspan="2" |723.445
| colspan="2" |730.827
| colspan="2" |738.947
| colspan="2" |746.053
| colspan="2" |757.895
| colspan="2" |764.418
| colspan="2" |784.029
|795.7895
|-
|-
| | 13
|10
| | Db
|B#
| | 985.263
|''H#''
| | 1003.6485
|757.895
| | 1067.368
| colspan="2" |771.93
| | 1086.751
| colspan="2" |789.474
| | 1149.474
| colspan="2" |803.828
| colspan="2" |812.03
| colspan="2" |821.053
| colspan="2" |828.947
| colspan="2" |842.105
| colspan="2" |849.365
| colspan="2" |871.143
|884.2105
|-
|-
| | 14
|11
| | C#
|H
| | 1061.053
|''C''
| | 1008.852
|833.654
| | 1149.474
| colspan="2" |849.123
| | 1170.347
| colspan="2" |868.421
| | 1237.895
| colspan="2" |884.2105
| colspan="2" |893.233
| colspan="2" |903.158
| colspan="2" |911.843
| colspan="2" |926.316
| colspan="2" |934.302
| colspan="2" |958.258
|972.632
|-
|-
| | 15
|12
| | D
|C
| | 1136.842
|''D''
| | 1158.056
|909.474
| | 1231.579
| colspan="2" |926.326
| | 1253.943
| colspan="2" |947.378
| | 1326.316
| colspan="2" |964.593
| colspan="2" |974.436
| colspan="2" |985.263
| colspan="2" |994.737
| colspan="2" |1010.526
| colspan="2" |1019.238
| colspan="2" |1045.372
|1061.053
|-
|-
| | 16
|13
| | Eb
|Db
| | 1212.632
|''Sb''
| | 1235.26
|985.263
| | 1313.684
| colspan="2" |1003.509
| | 1337.539'5
| colspan="2" |1026.316
| | 1414.737
| colspan="2" |1044.976
| colspan="2" |1055.639
| colspan="2" |1067.368
| colspan="2" |1077.612
| colspan="2" |1094.737
| colspan="2" |1104.172
| colspan="2" |1132.486
|1149.474
|-
|-
| | 17
|14
| | D#
|C#
| | 1288.421
|''D#''
| | 1312.463
|1061.053
| | 1395.7895
| colspan="2" |1080.702
| | 1421.136
| colspan="2" |1105.263
| | 1503.158
| colspan="2" |1125.359
| colspan="2" |1136.842
| colspan="2" |1149.474
| colspan="2" |1160.526
| colspan="2" |1178.947
| colspan="2" |1189.111
| colspan="2" |1220.601
|1237.895
|-
|-
| | 18
|15
| | E
|D
| | 1364.2105
|''S''
| | 1289.667
|1136.842
| | 1477.895
| colspan="2" |1107.895
| | 1504.732
| colspan="2" |1184.2105
| | 1591.579
| colspan="2" |1205.742
| colspan="2" |1218.045
| colspan="2" |1231.579
| colspan="2" |1243.421
| colspan="2" |1263.158
| colspan="2" |1274.047
| colspan="2" |1306.715
|1326.316
|-
|-
| | 19
|16
| | F
| colspan="2" |Eb
| | 1440
|1212.632
| | 1466.871
| colspan="2" |1235.088
| | 1560
| colspan="2" |1363.156
| | 1588.238
| colspan="2" |1286.124
| | 1680
| colspan="2" |1299.248
| colspan="2" |1313.684
| colspan="2" |1326.316
| colspan="2" |1347.378
| colspan="2" |1359.984
| colspan="2" |1393.829
|1414.737
|-
|17
|D#
|''S#''
|1288.421
| colspan="2" |1312.181
| colspan="2" |1042.105
| colspan="2" |1366.507
| colspan="2" |1380.451
| colspan="2" |1395.7895
| colspan="2" |1408.2105
| colspan="2" |1431.579
| colspan="2" |1443.98
| colspan="2" |1480.944
|1503.158
|-
|18
| colspan="2" |E
|1364.2105
| colspan="2" |1389.474
| colspan="2" |1421.053
| colspan="2" |1446.89
| colspan="2" |1461.654
| colspan="2" |1477.895
| colspan="2" |1491.105
| colspan="2" |1515.7895
| colspan="2" |1526.8275
| colspan="2" |1568.058
|1591.579
|-
|19
| colspan="2" |F
|1440
| colspan="2" |1466.667
| colspan="2" |1500
| colspan="2" |1527.273
| colspan="2" |1542.857
| colspan="2" |1560
| colspan="2" |1575
| colspan="2" |1600
| colspan="2" |1613.793
| colspan="2" |1655.172
|1680
|}Golden tunings
{| class="wikitable"
|+
! rowspan="4" |Degrees
! colspan="2" rowspan="4" |Enneatonic
! colspan="4" |Minor mode Middletown temperament
!Neutral mode Middletown temperament
! colspan="5" |Major mode Middletown 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
| colspan="2" |Gb
|76.834
|77.571
|80.119
|80.614
|81.833
|82.675
|83.031
|84.893
|86.2825
|87.24
|-
|2
| colspan="2" |F#
|153.6685
|155.142
|160.239
|161.229
|163.666
|165.3495
|166.063
|169.786
|172.565
|174.48
|-
|3
| colspan="2" |G
|230.503
|232.713
|240.358
|241.843
|245.498
|248.024
|249.094
|254.679
|258.847
|261.7205
|-
|4
|J
|''A''
|307.337
|310.284
|320.4775
|322.457
|327.331
|330.7
|332.1255
|339.571
|345.13
|348.961
|-
|5
|Ab
|''Bb''
|384.171
|387.855
|400.597
|403.3715
|409.164
|413.374
|415.157
|424.464
|431.412
|436.201
|-
|6
|J#
|''A#''
|491.055
|465.426
|480.716
|483.686
|490.997
|496.0485
|498.188
|509.357
|517.695
|523.441
|-
|7
|A
|''B''
|537.84
|542.997
|560.836
|564.3
|572.83
|578.723
|581.22
|594.25
|603.977
|610.681
|-
|8
|B
|''H''
|614.074
|620.568
|640.955
|644.9145
|654.662
|661.398
|664.251
|679.143
|690.26
|697.921
|-
|9
|Hb
|''Cb''
|691.508
|698.139
|721.074
|725.529
|736.495
|744.073
|747.282
|764.036
|776.542
|785.1615
|-
|10
|B#
|''H#''
|768.3425
|775.71
|801.194
|806.143
|818.327
|826.748
|830.314
|848.9285
|862.825
|872.402
|-
|11
|H
|''C''
|845.177
|853.281
|881.313
|886.757
|900.161
|909.422
|913.345
|933.821
|949.107
|959.642
|-
|12
|C
|''D''
|922.011
|930.852
|964.4325
|967.372
|981.994
|992.097
|996.3765
|1018.714
|1035.39
|1046.882
|-
|13
|Db
|''Sb''
|998.845
|1008.4235
|1041.552
|1047.986
|1063.826
|1074.772
|1079.408
|1103.607
|1121.672
|1134.122
|-
|14
|C#
|''D#''
|1075.68
|1085.9945
|1121.671
|1128.6
|1145.659
|1157.44
|1162.439
|1188.5
|1207.955
|1221.362
|-
|15
|D
|''S''
|1152.514
|1163.566
|1201.791
|1209.215
|1227.492
|1240.121
|1245.471
|1273.392
|1294.237
|1308.6025
|-
|16
| colspan="2" |Eb
|1229.348
|1241.137
|1281.91
|1289.829
|1309.325
|1322.796
|1328.502
|1358.286
|1380.5195
|1395.843
|-
|17
|D#
|''S#''
|1306.182
|1318.708
|1362.029
|1370.443
|1391.158
|1405.471
|1411.533
|1443.1785
|1466.802
|1483.083
|-
|18
| colspan="2" |E
|1383.017
|1396.279
|1442.149
|1451.0575
|1472.99
|1488.149
|1494.565
|1528.071
|1553.0845
|1570.323
|-
|19
| colspan="2" |F
|1459.851
|1473.85
|1522.268
|1531.672
|1554.823
|1570.82
|1577.596
|1612.964
|1639.367
|1657.563
|}
|}