User:Moremajorthanmajor/19edX: Difference between revisions

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| colspan="2" |1655.172
| colspan="2" |1655.172
|1680
|1680
|}Golden tunings
|}Most harmonic tunings
{| class="wikitable"
{| class="wikitable"
|+
|-
! rowspan="4" |Degrees
! rowspan="2" |Degrees
! colspan="2" rowspan="4" |Enneatonic
! colspan="2" rowspan="2" |Enneatonic
! colspan="4" |Minor mode Middletown temperament
!Minor mode Middletown temperament
!Neutral mode Middletown temperament
!Neutral mode Middletown temperament
! colspan="5" |Major mode Middletown temperament
!Major mode Middletown temperament
|-
!7/3±13¢
!22/9±13¢
!5/2±13¢
|-
|1
| colspan="2" |Gb
|76.5195-77.888
|80.758-82.127
|82.806-84.174
|-
|2
| colspan="2" |F#
|153.039-155.776
|161.517-164.2535
|165.612-168.349
|-
| |3
| colspan="2" |G
|229.559-233.664
|242.275-246.38
|248.418-252.523
|-
|-
! rowspan="3" |Aeolian-Dorian
|4
! colspan="3" |Dorian
|J
! rowspan="3" |Dorian-Mixolydian
|''A''
! colspan="4" |Mixolydian
|306.078-311.552
! rowspan="3" |Mixolydian-Ionian
|323.033-328.507
|331.224-336.698
|-
|-
! rowspan="2" |Subpental
| |5
! rowspan="2" |Pental
|Ab
! rowspan="2" |Superpental
|''Bb''
! rowspan="2" |Subpental
|382.598-389.44
! rowspan="2" |Pental
|403.792-410.634
! colspan="2" |Superpental
|414.03-420.872
|-
|-
!Soft
| |6
!Intense
|J#
|''A#''
|459.117-467.328
|484.55-492.76
|496.835-505.046
|-
|7
|A
|''B''
|535.637-545.216
|565.308-574.887
|579.342-589.221
|-
| |8
|B
|''H''
|612.156-623.1035
|646.0665-657.014
|662.448-673.395
|-
|9
|Hb
|''Cb''
|688.676-700.9915
|726.825-739.141
|745.254-757.57
|-
|10
|B#
|''H#''
|765.195-778.879
|807.583-821.267
|828.06-841.744
|-
|11
|H
|''C''
|841.715-856.767.
|888.341-903.394
|910.866-925.9185
|-
| |12
|C
|''D''
|918.234-934.655
|969.1-985.52
|993.672-1010.093
|-
|13
|Db
|''Sb''
|994.754-1012.543
|1049.858-1067.6475
|1076.478-1094.267
|-
| |14
|C#
|''D#''
|1071.273-1090.431
|1130.616-1149.774
|1159.284-1178.442
|-
|15
|D
|''S''
|1147.793-1168.319
|1211.375-1231.901
|1242.09-1262.616
|-
|16
| colspan="2" |Eb
|1224.312-1266.207
|1292.133-1314.028
|1324.896-1346.7905
|-
|17
|D#
|''S#''
|1300.832--1324.095
|1372.891-1396.1545
|1407.702-1430.965
|-
|18
| colspan="2" |E
|1377.351-1401.983
|1453.65-1478.281
|1490.507-1515.139
|-
|19
| colspan="2" |F
|1453.871-1479.871
|1534.408-1560.408
|1573.314-1599.314
|}Golden tunings
 
Minor mode Middletown temperament
{| class="wikitable"
! rowspan="3" |Degrees
! colspan="2" rowspan="3" |Enneatonic
! colspan="3" |Aeolian-Dorian
! colspan="9" |Dorian
|-
! rowspan="2" |-13¢
! rowspan="2" |Mean
! rowspan="2" |-13¢ (s5D)
! colspan="3" |Subpental
! colspan="3" |Pental
! colspan="3" |Superpental
|-
!+13¢ (A-D)
!Mean
!+13¢
!-13¢
!-13¢ (S5)
!Mean
!Mean
!+13¢ (5)
!-13¢ (D-M)
|-
|-
|1
|1
| colspan="2" |Gb
| colspan="2" |Gb
|76.15
|76.834
|76.834
|76.887
|77.5185
|77.571
|77.571
|78.255
|79.435
|79.93
|80.119
|80.119
|80.614
|80.614
|80.804
|81.149
|-
|2
| colspan="2" |F#
|152.3
|153.6685
|153.774
|155.037
|155.142
|156.5105
|158.87
|159.86
|160.239
|161.229
|161.607
|162.297
|-
|3
| colspan="2" |G
|228.45
|230.503
|230.6605
|232.555
|232.713
|234.766
|238.3055
|239.79
|240.358
|241.843
|242.411
|243.446
|-
|4
|J
|''A''
|304.6
|307.337
|307.547
|310.074
|310.284
|313.021
|317.741
|319.72
|320.4775
|322.457
|323.214
|324.594
|-
|5
|Ab
|''Bb''
|380.75
|384.171
|384.434
|387.592
|387.855
|391.276
|397.176
|399.6505
|400.597
|403.3715
|404.018
|405.743
|-
|6
|J#
|''A#''
|456.9
|461.055
|461.321
|465.111
|465.426
|469.5315
|476.611
|479.581
|480.716
|483.686
|484.8215
|486.8915
|-
|7
|A
|''B''
|533.05
|537.84
|538.208
|542.926
|542.997
|547.787
|556.046
|559.511
|560.836
|564.3
|565.625
|568.04
|-
|8
|B
|''H''
|609.2
|614.074
|615.095
|620.148
|620.568
|626.042
|635.481
|639.441
|640.955
|644.9145
|648.429
|649.189
|-
|9
|Hb
|''Cb''
|685.35
|691.508
|691.981
|697.666
|698.139
|704.297
|714.9165
|719.371
|721.074
|725.529
|727.232
|730.337
|-
|10
|B#
|''H#''
|761.5
|768.3425
|768.868
|775.185
|775.71
|782.5525
|794.352
|799.301
|801.194
|806.143
|808.036
|811.486
|-
|11
|H
|''C''
|837.6505
|845.177
|845.755
|852.703
|853.281
|860.808
|873.787
|879.231
|881.313
|886.757
|888.8395
|892.6345
|-
|12
|C
|''D''
|913.8005
|922.011
|922.642
|930.222
|930.852
|939.063
|953.222
|959.161
|964.4325
|967.372
|969.643
|973.783
|-
|13
|Db
|''Sb''
|989.951
|998.845
|999.529
|1007.74
|1008.4235
|1017.318
|1032.657
|1039.091
|1041.552
|1047.986
|1050.447
|1054.932
|-
|14
|C#
|''D#''
|1066.101
|1075.68
|1076.416
|1085.2585
|1085.9945
|1095.5735
|1112.092
|1119.021
|1121.671
|1128.6
|1131.25
|1136.08
|-
|15
|D
|''S''
|1142.251
|1152.514
|1153.302
|1162.777
|1163.566
|1173.829
|1191.5275
|1198.9515
|1201.791
|1209.215
|1212.054
|1217.229
|-
|16
| colspan="2" |Eb
|1218.401
|1229.348
|1230.159
|1240.295
|1241.137
|1525.054
|1270.963
|1279.882
|1281.91
|1289.829
|1292.857
|1298.377
|-
|17
|D#
|''S#''
|1294.551
|1306.182
|1307.0769
|1317.814
|1318.708
|1330.339
|1350.298
|1358.612
|1362.029
|1370.443
|1373.661
|1379.526
|-
|18
| colspan="2" |E
|1370.701
|1383.017
|1383.963
|1395.332
|1396.279
|1408.594
|1429.833
|1438.742
|1442.149
|1451.0575
|1454.465
|1460.675
|-
|19
| colspan="2" |F
|1446.851
|1459.851
|1460.85
|1472.851
|1473.85
|1486.85
|1509.268
|1518.672
|1522.268
|1531.672
|1535.268
|1541.823
|}Neutral (Dorian-Mixolydian) mode Middletown temperament
{| class="wikitable"
|-
!Degrees
! colspan="2" |Enneatonic
!+13¢ (S5D)
!Mean
!-13¢ (s5M)
|-
|1
| colspan="2" |Gb
|81.2985
|81.833
|81.833
|81.9905
|-
|2
| colspan="2" |F#
|162.597
|163.666
|163.984
|-
|3
| colspan="2" |G
|243.896
|245.498
|245.972
|-
|4
|J
|''A''
|325.164
|327.331
|327.962
|-
|5
|Ab
|''Bb''
|406.493
|409.164
|409.953
|-
|6
|J#
|''A#''
|487.791
|490.997
|491.943
|-
|7
|A
|''B''
|569.09
|572.83
|573.934
|-
|8
|B
|''H''
|650.388
|654.662
|655.924
|-
|9
|Hb
|''Cb''
|731.687
|736.495
|737.915
|-
|10
|B#
|''H#''
|812.985
|818.327
|819.9055
|-
|11
|H
|''C''
|894.284
|900.161
|901.896
|-
|12
|C
|''D''
|975.582.
|981.994
|983.887
|-
|13
|Db
|''Sb''
|1056.881
|1063.826
|1065.877
|-
|14
|C#
|''D#''
|1138.179
|1145.659
|1147.868
|-
|15
|D
|''S''
|1219.478
|1227.492
|1229.858
|-
|16
| colspan="2" |Eb
|1300.776
|1309.325
|1311.849
|-
|17
|D#
|''S#''
|1382.075
|1391.158
|1393.839
|-
|18
| colspan="2" |E
|1463.373
|1472.99
|1475.83
|-
|19
| colspan="2" |F
|1544.672
|1554.823
|1557.82
|}Major mode Middletown temperament
{| class="wikitable"
|+
|-
! rowspan="4" |Degrees
! colspan="2" rowspan="4" |Enneatonic
! 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¢
|-
|1
| colspan="2" |Gb
|82.347
|82.517
|82.675
|82.675
|83.031
|83.031
|83.359
|83.716
|84.209
|84.893
|84.893
|85.557
|85.598
|86.2825
|86.2825
|86.556
|86.967
|87.24
|87.24
|87.924
|-
|-
|2
|2
| colspan="2" |F#
| colspan="2" |F#
|153.6685
|164.695
|155.142
|165.034
|160.239
|161.229
|163.666
|165.3495
|165.3495
|166.063
|166.063
|166.718
|167.431
|168.417
|169.786
|169.786
|171.154
|171.1965
|172.565
|172.565
|173.112
|173.933
|174.48
|174.48
|175.849
|-
|-
|3
|3
| colspan="2" |G
| colspan="2" |G
|230.503
|247.0415
|232.713
|247.551
|240.358
|241.843
|245.498
|248.024
|248.024
|249.094
|249.094
|250.077
|251.147
|252.626
|254.679
|254.679
|256.731
|256.795
|258.847
|258.847
|259.668
|260.9
|261.7205
|261.7205
|263.773
|-
|-
|4
|4
|J
|J
|''A''
|''A''
|307.337
|329.389
|310.284
|330.068
|320.4775
|322.457
|327.331
|330.7
|330.7
|332.1255
|332.1255
|333.436
|334.862
|336.835
|339.571
|339.571
|342.308
|342.393
|345.13
|345.13
|346.224
|347.867
|348.961
|348.961
|351.6975
|-
|-
|5
|5
|Ab
|Ab
|''Bb''
|''Bb''
|384.171
|411.736
|387.855
|412.585
|400.597
|403.3715
|409.164
|413.374
|413.374
|415.157
|415.157
|416.795
|418.578
|421.043
|424.464
|424.464
|427.885
|427.991
|431.412
|431.412
|432.78
|434.833
|436.201
|436.201
|439.622
|-
|-
|6
|6
|J#
|J#
|''A#''
|''A#''
|491.055
|494.083
|465.426
|495.102
|480.716
|483.686
|490.997
|496.0485
|496.0485
|498.188
|498.188
|500.154
|502.2935
|505.252
|509.357
|509.357
|513.462
|513.59
|517.695
|517.695
|519.336
|521.8
|523.441
|523.441
|527.546
|-
|-
|7
|7
|A
|A
|''B''
|''B''
|537.84
|576.43
|542.997
|577.619
|560.836
|564.3
|572.83
|578.723
|578.723
|581.22
|581.22
|583.513
|586.001
|589.4602
|594.25
|594.25
|599.0395
|599.188
|603.977
|603.977
|605.892
|608.767
|610.681
|610.681
|615.471
|-
|-
|8
|8
|B
|B
|''H''
|''H''
|614.074
|658.777
|620.568
|660.136
|640.955
|644.9145
|654.662
|661.398
|661.398
|664.251
|664.251
|666.872
|669.725
|673.669
|679.143
|679.143
|684.6165
|684.786
|690.26
|690.26
|692.448
|694.733
|697.921
|697.921
|703.395
|-
|-
|9
|9
|Hb
|Hb
|''Cb''
|''Cb''
|691.508
|741.1245
|698.139
|742.653
|721.074
|725.529
|736.495
|744.073
|744.073
|747.282
|747.282
|750.231
|752.44
|757.878
|764.036
|764.036
|770.194
|770.384
|776.542
|776.542
|779.004
|782.7
|785.1615
|785.1615
|791.319
|-
|-
|10
|10
|B#
|B#
|''H#''
|''H#''
|768.3425
|834.451
|775.71
|825.17
|801.194
|806.143
|818.327
|826.748
|826.748
|830.314
|830.314
|833.59
|837.156
|842.086
|848.9285
|848.9285
|855.771
|855.983
|862.825
|862.825
|865.56
|881.262
|872.402
|872.402
|879.244
|-
|-
|11
|11
|H
|H
|''C''
|''C''
|845.177
|905.819
|853.281
|907.687
|881.313
|886.757
|900.161
|909.422
|909.422
|913.345
|913.345
|916.949
|917.156
|926.295
|933.821
|933.821
|941.348
|941.581
|949.107
|949.107
|952.1155
|956.6335
|959.642
|959.642
|967.168
|-
|-
|12
|12
|C
|C
|''D''
|''D''
|922.011
|988.166
|930.852
|990.304
|964.4325
|967.372
|981.994
|992.097
|992.097
|996.3765
|996.3765
|1000.308
|1000.8715
|1010.503
|1018.714
|1018.714
|1026.925
|1027.179
|1035.39
|1035.39
|1038.6715
|1043.6
|1046.882
|1046.882
|1055.093
|-
|-
|13
|13
|Db
|Db
|''Sb''
|''Sb''
|998.845
|1070.513
|1008.4235
|1072.721
|1041.552
|1047.986
|1063.826
|1074.772
|1074.772
|1079.408
|1079.408
|1083.667
|1084.587
|1094.712
|1103.607
|1103.607
|1112.502
|1112.777
|1121.672
|1121.672
|1125.2275
|1130.567
|1134.122
|1134.122
|1143.017
|-
|-
|14
|14
|C#
|C#
|''D#''
|''D#''
|1075.68
|1152.86
|1085.9945
|1152.238
|1121.671
|1128.6
|1145.659
|1157.44
|1157.44
|1162.439
|1162.439
|1167.026
|1168.303
|1178.921
|1188.5
|1188.5
|1198.079
|1198.376
|1207.955
|1207.955
|1211.783
|1217.5335
|1221.362
|1221.362
|1230.941
|-
|-
|15
|15
|D
|D
|''S''
|''S''
|1152.514
|1235.2075
|1163.566
|1237.755
|1201.791
|1209.215
|1227.492
|1240.121
|1240.121
|1245.471
|1245.471
|1250.3845
|1252.018
|1263.13
|1273.392
|1273.392
|1283.656
|1283.974
|1294.237
|1294.237
|1298.339
|1304.5
|1308.6025
|1308.6025
|1318.451
|-
|-
|16
|16
| colspan="2" |Eb
| colspan="2" |Eb
|1229.348
|1317.555
|1241.137
|1320.272
|1281.91
|1289.829
|1309.325
|1322.796
|1322.796
|1328.502
|1328.502
|1333.743
|1335.734
|1347.338
|1358.286
|1358.286
|1369.233
|1369.572
|1380.5195
|1380.5195
|1384.895
|1389.467
|1395.843
|1395.843
|1406.79
|-
|-
|17
|17
|D#
|D#
|''S#''
|''S#''
|1306.182
|1355.983
|1318.708
|1402.789
|1362.029
|1370.443
|1391.158
|1405.471
|1405.471
|1411.533
|1411.533
|1417.1025
|1378.517
|1431.547
|1443.1785
|1443.1785
|1454.81
|1455.17
|1466.802
|1466.802
|1471.451
|1478.434
|1483.083
|1483.083
|1494.7145
|-
|-
|18
|18
| colspan="2" |E
| colspan="2" |E
|1383.017
|1399.902
|1396.279
|1485.306
|1442.149
|1451.0575
|1472.99
|1488.149
|1488.149
|1494.565
|1494.565
|1500.461
|1499.446
|1515.756
|1528.071
|1528.071
|1540.387
|1540.769
|1553.0845
|1553.0845
|1558.007
|1565.4
|1570.323
|1570.323
|1582.639
|-
|-
|19
|19
| colspan="2" |F
| colspan="2" |F
|1459.851
|1564.596
|1473.85
|1567.96
|1522.268
|1531.672
|1554.823
|1570.82
|1570.82
|1577.596
|1577.596
|1583.82
|1590.596
|1599.964
|1612.964
|1612.964
|1639.367
|1625.964
|1626.366
|1639.366
|1644.563
|1652.366
|1657.563
|1657.563
|1670.563
|}
|}
[[Category:EdX]]
[[Category:EdX]]

Revision as of 23:32, 6 November 2018

Explanation needed for what this is. See edX maybe?

Intervals

Degrees Enneatonic Minor mode Middletown temperament Neutral mode Middletown temperament Major mode Middletown 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 Gb 75.7895 77.193 78.947 80.383 81.203 82.105 82.895 84.2105 84.9365 87.114 88.421
2 F# 151.579 154.386 157.895 160.766 162.406 164.2105 165.7896 168.421 169.873 174.229 176.842
3 G 227.368 231.579 236.842 241.148 243.609 246.316 248.684 252.632 254.809 261.343 265.263
4 J A 303.158 308.772 315.7895 321.531 324.812 328.421 331.579 336.842 339.746 348.457 353.684
5 Ab Bb 378.947 385.965 394.737 401.914 406.015 410.526 414.474 421.053 424.682 435.527 442.105
6 J# A# 454.737 463.158 473.684 482.297 487.218 492.632 497.368 505.263 509.619 522.686 530.526
7 A B 530.526 540.351 552.632 592.679 568.421 574.737 580.263 589.474 594.555 609.8 618.947
8 B H 606.316 617.544 631.579 643.062 647.624 656.842 663.158 673.684 679.491 696.915 707.368
9 Hb Cb 682.105 694.737 710.526 723.445 730.827 738.947 746.053 757.895 764.418 784.029 795.7895
10 B# H# 757.895 771.93 789.474 803.828 812.03 821.053 828.947 842.105 849.365 871.143 884.2105
11 H C 833.654 849.123 868.421 884.2105 893.233 903.158 911.843 926.316 934.302 958.258 972.632
12 C D 909.474 926.326 947.378 964.593 974.436 985.263 994.737 1010.526 1019.238 1045.372 1061.053
13 Db Sb 985.263 1003.509 1026.316 1044.976 1055.639 1067.368 1077.612 1094.737 1104.172 1132.486 1149.474
14 C# D# 1061.053 1080.702 1105.263 1125.359 1136.842 1149.474 1160.526 1178.947 1189.111 1220.601 1237.895
15 D S 1136.842 1107.895 1184.2105 1205.742 1218.045 1231.579 1243.421 1263.158 1274.047 1306.715 1326.316
16 Eb 1212.632 1235.088 1363.156 1286.124 1299.248 1313.684 1326.316 1347.378 1359.984 1393.829 1414.737
17 D# S# 1288.421 1312.181 1042.105 1366.507 1380.451 1395.7895 1408.2105 1431.579 1443.98 1480.944 1503.158
18 E 1364.2105 1389.474 1421.053 1446.89 1461.654 1477.895 1491.105 1515.7895 1526.8275 1568.058 1591.579
19 F 1440 1466.667 1500 1527.273 1542.857 1560 1575 1600 1613.793 1655.172 1680

Most harmonic tunings

Degrees Enneatonic Minor mode Middletown temperament Neutral mode Middletown temperament Major mode Middletown temperament
7/3±13¢ 22/9±13¢ 5/2±13¢
1 Gb 76.5195-77.888 80.758-82.127 82.806-84.174
2 F# 153.039-155.776 161.517-164.2535 165.612-168.349
3 G 229.559-233.664 242.275-246.38 248.418-252.523
4 J A 306.078-311.552 323.033-328.507 331.224-336.698
5 Ab Bb 382.598-389.44 403.792-410.634 414.03-420.872
6 J# A# 459.117-467.328 484.55-492.76 496.835-505.046
7 A B 535.637-545.216 565.308-574.887 579.342-589.221
8 B H 612.156-623.1035 646.0665-657.014 662.448-673.395
9 Hb Cb 688.676-700.9915 726.825-739.141 745.254-757.57
10 B# H# 765.195-778.879 807.583-821.267 828.06-841.744
11 H C 841.715-856.767. 888.341-903.394 910.866-925.9185
12 C D 918.234-934.655 969.1-985.52 993.672-1010.093
13 Db Sb 994.754-1012.543 1049.858-1067.6475 1076.478-1094.267
14 C# D# 1071.273-1090.431 1130.616-1149.774 1159.284-1178.442
15 D S 1147.793-1168.319 1211.375-1231.901 1242.09-1262.616
16 Eb 1224.312-1266.207 1292.133-1314.028 1324.896-1346.7905
17 D# S# 1300.832--1324.095 1372.891-1396.1545 1407.702-1430.965
18 E 1377.351-1401.983 1453.65-1478.281 1490.507-1515.139
19 F 1453.871-1479.871 1534.408-1560.408 1573.314-1599.314

Golden tunings

Minor mode Middletown temperament

Degrees Enneatonic 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 Gb 76.15 76.834 76.887 77.5185 77.571 78.255 79.435 79.93 80.119 80.614 80.804 81.149
2 F# 152.3 153.6685 153.774 155.037 155.142 156.5105 158.87 159.86 160.239 161.229 161.607 162.297
3 G 228.45 230.503 230.6605 232.555 232.713 234.766 238.3055 239.79 240.358 241.843 242.411 243.446
4 J A 304.6 307.337 307.547 310.074 310.284 313.021 317.741 319.72 320.4775 322.457 323.214 324.594
5 Ab Bb 380.75 384.171 384.434 387.592 387.855 391.276 397.176 399.6505 400.597 403.3715 404.018 405.743
6 J# A# 456.9 461.055 461.321 465.111 465.426 469.5315 476.611 479.581 480.716 483.686 484.8215 486.8915
7 A B 533.05 537.84 538.208 542.926 542.997 547.787 556.046 559.511 560.836 564.3 565.625 568.04
8 B H 609.2 614.074 615.095 620.148 620.568 626.042 635.481 639.441 640.955 644.9145 648.429 649.189
9 Hb Cb 685.35 691.508 691.981 697.666 698.139 704.297 714.9165 719.371 721.074 725.529 727.232 730.337
10 B# H# 761.5 768.3425 768.868 775.185 775.71 782.5525 794.352 799.301 801.194 806.143 808.036 811.486
11 H C 837.6505 845.177 845.755 852.703 853.281 860.808 873.787 879.231 881.313 886.757 888.8395 892.6345
12 C D 913.8005 922.011 922.642 930.222 930.852 939.063 953.222 959.161 964.4325 967.372 969.643 973.783
13 Db Sb 989.951 998.845 999.529 1007.74 1008.4235 1017.318 1032.657 1039.091 1041.552 1047.986 1050.447 1054.932
14 C# D# 1066.101 1075.68 1076.416 1085.2585 1085.9945 1095.5735 1112.092 1119.021 1121.671 1128.6 1131.25 1136.08
15 D S 1142.251 1152.514 1153.302 1162.777 1163.566 1173.829 1191.5275 1198.9515 1201.791 1209.215 1212.054 1217.229
16 Eb 1218.401 1229.348 1230.159 1240.295 1241.137 1525.054 1270.963 1279.882 1281.91 1289.829 1292.857 1298.377
17 D# S# 1294.551 1306.182 1307.0769 1317.814 1318.708 1330.339 1350.298 1358.612 1362.029 1370.443 1373.661 1379.526
18 E 1370.701 1383.017 1383.963 1395.332 1396.279 1408.594 1429.833 1438.742 1442.149 1451.0575 1454.465 1460.675
19 F 1446.851 1459.851 1460.85 1472.851 1473.85 1486.85 1509.268 1518.672 1522.268 1531.672 1535.268 1541.823

Neutral (Dorian-Mixolydian) mode Middletown temperament

Degrees Enneatonic +13¢ (S5D) Mean -13¢ (s5M)
1 Gb 81.2985 81.833 81.9905
2 F# 162.597 163.666 163.984
3 G 243.896 245.498 245.972
4 J A 325.164 327.331 327.962
5 Ab Bb 406.493 409.164 409.953
6 J# A# 487.791 490.997 491.943
7 A B 569.09 572.83 573.934
8 B H 650.388 654.662 655.924
9 Hb Cb 731.687 736.495 737.915
10 B# H# 812.985 818.327 819.9055
11 H C 894.284 900.161 901.896
12 C D 975.582. 981.994 983.887
13 Db Sb 1056.881 1063.826 1065.877
14 C# D# 1138.179 1145.659 1147.868
15 D S 1219.478 1227.492 1229.858
16 Eb 1300.776 1309.325 1311.849
17 D# S# 1382.075 1391.158 1393.839
18 E 1463.373 1472.99 1475.83
19 F 1544.672 1554.823 1557.82

Major mode Middletown temperament

Degrees Enneatonic 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¢
1 Gb 82.347 82.517 82.675 83.031 83.359 83.716 84.209 84.893 85.557 85.598 86.2825 86.556 86.967 87.24 87.924
2 F# 164.695 165.034 165.3495 166.063 166.718 167.431 168.417 169.786 171.154 171.1965 172.565 173.112 173.933 174.48 175.849
3 G 247.0415 247.551 248.024 249.094 250.077 251.147 252.626 254.679 256.731 256.795 258.847 259.668 260.9 261.7205 263.773
4 J A 329.389 330.068 330.7 332.1255 333.436 334.862 336.835 339.571 342.308 342.393 345.13 346.224 347.867 348.961 351.6975
5 Ab Bb 411.736 412.585 413.374 415.157 416.795 418.578 421.043 424.464 427.885 427.991 431.412 432.78 434.833 436.201 439.622
6 J# A# 494.083 495.102 496.0485 498.188 500.154 502.2935 505.252 509.357 513.462 513.59 517.695 519.336 521.8 523.441 527.546
7 A B 576.43 577.619 578.723 581.22 583.513 586.001 589.4602 594.25 599.0395 599.188 603.977 605.892 608.767 610.681 615.471
8 B H 658.777 660.136 661.398 664.251 666.872 669.725 673.669 679.143 684.6165 684.786 690.26 692.448 694.733 697.921 703.395
9 Hb Cb 741.1245 742.653 744.073 747.282 750.231 752.44 757.878 764.036 770.194 770.384 776.542 779.004 782.7 785.1615 791.319
10 B# H# 834.451 825.17 826.748 830.314 833.59 837.156 842.086 848.9285 855.771 855.983 862.825 865.56 881.262 872.402 879.244
11 H C 905.819 907.687 909.422 913.345 916.949 917.156 926.295 933.821 941.348 941.581 949.107 952.1155 956.6335 959.642 967.168
12 C D 988.166 990.304 992.097 996.3765 1000.308 1000.8715 1010.503 1018.714 1026.925 1027.179 1035.39 1038.6715 1043.6 1046.882 1055.093
13 Db Sb 1070.513 1072.721 1074.772 1079.408 1083.667 1084.587 1094.712 1103.607 1112.502 1112.777 1121.672 1125.2275 1130.567 1134.122 1143.017
14 C# D# 1152.86 1152.238 1157.44 1162.439 1167.026 1168.303 1178.921 1188.5 1198.079 1198.376 1207.955 1211.783 1217.5335 1221.362 1230.941
15 D S 1235.2075 1237.755 1240.121 1245.471 1250.3845 1252.018 1263.13 1273.392 1283.656 1283.974 1294.237 1298.339 1304.5 1308.6025 1318.451
16 Eb 1317.555 1320.272 1322.796 1328.502 1333.743 1335.734 1347.338 1358.286 1369.233 1369.572 1380.5195 1384.895 1389.467 1395.843 1406.79
17 D# S# 1355.983 1402.789 1405.471 1411.533 1417.1025 1378.517 1431.547 1443.1785 1454.81 1455.17 1466.802 1471.451 1478.434 1483.083 1494.7145
18 E 1399.902 1485.306 1488.149 1494.565 1500.461 1499.446 1515.756 1528.071 1540.387 1540.769 1553.0845 1558.007 1565.4 1570.323 1582.639
19 F 1564.596 1567.96 1570.82 1577.596 1583.82 1590.596 1599.964 1612.964 1625.964 1626.366 1639.366 1644.563 1652.366 1657.563 1670.563
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