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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]]
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