User:Moremajorthanmajor/17edX: Difference between revisions

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Line 95: Line 95:
|J
|J
|''A''
|''A''
| |338.823'5
| |338.8235
| colspan="2" |345.098
| colspan="2" |345.098
| colspan="2" |352.941
| colspan="2" |352.941
Line 321: Line 321:
| 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="4" rowspan="4" |Enneatonic
! colspan="4" 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" |G
| colspan="2" |Gb
|85.522-87.051
|90.259-91.789
|92.548-94.077
|-
| |2
|J\\
|''A\\''
| colspan="2" |F#
|171-044-174.1025
|180.5185-183.577
|185.096-188.155
|-
|3
| colspan="2" |Gp
| colspan="2" |G
|256.5655-261.154
|270.778-275.366
|277.644-282.232
|-
| |4
|J
|A
|J
|''A''
|342.087-348.205
|361.037-367.155
|370.1915-376.309
|-
|5
|A
|''B''
|Ab
|''Bb''
|427.609-435.256
|451.2965-458.9435
|462.739-470.386
|-
| |6
|B\\
|''H\\''
|J#
|''A#''
|513.131-522.307
|541.556-550.732
|555.287-564.464
|-
|7
|Ap
|''Bp''
|A
|''B''
|598.653-609.359
|631.815-642.521
|647.835-658.541
|-
| |8
|B
|''H''
|B
|''H''
|684.1745-696.41.
|722.074-734.31
|740.383-752.618
|-
|9
|H
|''C''
|Hb
|''Cb''
|769.696-783.461
|812.334-826.098
|832.931-846.6955
|-
| |10
|C\\
|''D\\''
|B#
|''H#''
|855.218-870.512
|902.593-917.887
|925.479-940.773
|-
|11
|Hp
|''Cp''
|H
|''C''
|940.74-957.5635
|992.852.1009.676
|1018.0265-1034.85
|-
| |12
|C
|''D''
|C
|''D''
|1026.262-1044.615
|1083.1115-1101.464
|1110.574-1128.927
|-
|13
|D
|''S''
|Db
|''Sb''
|1111.7847-1131.666
|1173.371-1193.253
|1203.122-1223.005
|-
| |14
| colspan="2" |E
|C#
|''D#''
|1197.3055-1218.717
|1353.889-1375.042
|1295.67-1317.082
|-
|15
| colspan="2" |F\\
|D
|''S''
|1282.827-1305.768
|1444.149-1466.83
|1388.218-1411.159
|-
|16
| colspan="2" |Ep
| colspan="2" |E
|1368.249-1392.82
|1534.408-1558.619
|1480.766-1505.236
|-
|-
! rowspan="3" |Aeolian-Dorian
|17
! colspan="3" |Dorian
| colspan="2" |F
! rowspan="3" |Dorian-Mixolydian
| colspan="2" |F
! colspan="4" |Mixolydian
|1453.871-1479.871
! rowspan="3" |Mixolydian-Ionian
|1534.408-1560.408
|1573.314-1599.314
|}Golden tunings
 
Minor mode Middletown temperament
{| class="wikitable"
! rowspan="3" |Degrees
! colspan="4" rowspan="3" |Enneatonic
! colspan="3" |Aeolian-Dorian
! colspan="9" |Dorian
|-
|-
! rowspan="2" |Subpental
! rowspan="2" |-13¢
! rowspan="2" |Pental
! rowspan="2" |Mean
! rowspan="2" |Superpental
! rowspan="2" |-13¢ (s5D)
! rowspan="2" |Subpental
! colspan="3" |Subpental
! rowspan="2" |Pental
! colspan="3" |Pental
! colspan="2" |Superpental
! colspan="3" |Superpental
|-
|-
!Soft
!+13¢ (A-D)
!Intense
!Mean
!+13¢
!-13¢
!-13¢ (S5)
!Mean
!Mean
!+13¢ (5)
!-13¢ (D-M)
|-
|-
|1
|1
| colspan="2" |G
| colspan="2" |G
| colspan="2" |Gb
| colspan="2" |Gb
|85.109
|85.874
|85.874
|85.932
|86.638
|86.697
|86.697
|87.462
|88.7805
|89.334
|89.545
|89.545
|90.098
|90.098
|90.31
|90.6955
|-
|2
|J\\
|''A\\''
| colspan="2" |F#
|170.218
|171.747
|171.865
|173.277
|173.394
|174.9235
|177.561
|178.667
|179.09
|180.197
|180.62
|181.391
|-
|3
| colspan="2" |Gp
| colspan="2" |G
|255.327
|257.621
|257.797
|259.915
|260.091
|262.385
|266.341
|268.001
|268.636
|270.295
|270.93
|272.086
|-
|4
|J
|A
|J
|''A''
|340.4355
|343.494
|343.729
|346.553
|346.788
|349.847
|355.122
|357.335
|358.181
|360.393
|361.2395
|362.782
|-
|5
|A
|''B''
|Ab
|''Bb''
|425.544
|429.368
|429.662
|433.1915
|433.485
|437.309
|442.902
|446.668
|447.726
|450.492
|451.5495
|453.477
|-
|6
|B\\
|''H\\''
|J#
|''A#''
|510.653
|515.2415
|515.594
|519.83
|520.182
|524.7705
|532.683
|536.002
|537.271
|540.59
|541.859
|544.173
|-
|7
|Ap
|''Bp''
|A
|''B''
|595.762
|601.115
|601.526
|606.468
|606.879
|612.232
|621.463
|625.3355
|626.516
|630.688
|632.169
|634.868
|-
|8
|B
|''H''
|B
|''H''
|680.871
|686.989
|687.459
|693.106
|693.576
|699.694
|710.244
|714.996
|716.3615
|720.787
|722.479
|725.563
|-
|9
|H
|''C''
|Hb
|''Cb''
|765.98
|772.862
|773.391
|779.745
|780.273
|787.156
|799.024
|804.003
|805.907
|810.885
|812.789
|816.259
|-
|10
|C\\
|''D\\''
|B#
|''H#''
|851.089
|858.736
|859.323
|866.383
|866.97
|874.6175
|887.805
|893.336
|895.452
|900.983
|903.099
|906.955
|-
|11
|Hp
|''Cp''
|H
|''C''
|936.198
|944.609
|945.256
|953.021
|953.667
|962.079
|976.585
|982.67
|984.997
|991.082
|993.409
|997.65
|-
|12
|C
|''D''
|C
|''D''
|1021.3065
|1030.483
|1031.188
|1039.66
|1040.3645
|1049.541
|1065.366
|1072.004
|1074.542
|1081.18
|1083.719
|1088.346
|-
|13
|D
|''S''
|Db
|''Sb''
|1106.415
|1116.3565
|1117.12
|1186.94
|1127.0615
|1137.003
|1154.146
|1161.337
|1164.087
|1171.2785
|1174.029.
|1179.041
|-
|14
| colspan="2" |E
|C#
|''D#''
|1191.524
|1202.23
|1203.052
|1212.936
|1213.759
|1224.464
|1242.927
|1250.671
|1253.633
|1261.377
|1264.3385
|1269.737
|-
|15
| colspan="2" |F\\
|D
|''S''
|1276.633
|1288.104
|1288.985
|1299.5745
|1300.456
|1311.926
|1331.707
|1340.005
|1343.178
|1351.475
|1354.648
|1360.432
|-
|16
| colspan="2" |Ep
| colspan="2" |E
|1361.741
|1373.977
|1374.917
|1386.213
|1387.153
|1399.388
|1420.488
|1426.338
|1432.723
|1441.5735
|1424.958
|1451.128
|-
|17
| colspan="2" |F
| 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="4" |Enneatonic
!+13¢ (S5D)
!Mean
!-13¢ (s5M)
|-
|1
| colspan="2" |G
| colspan="2" |Gb
|90.863
|91.46
|91.46
|92.019
|-
|2
|J\\
|''A\\''
| colspan="2" |F#
|181.726
|182.92
|184.038
|-
|3
| colspan="2" |Gp
| colspan="2" |G
|272.589
|274.381
|276.0565
|-
|4
|J
|A
|J
|''A''
|363.452
|365.841
|368.075
|-
|5
|A
|''B''
|Ab
|''Bb''
|454.315
|457.301
|460.094
|-
|6
|B\\
|''H\\''
|J#
|''A#''
|545.178
|548.761
|552.113
|-
|7
|Ap
|''Bp''
|A
|''B''
|636.041
|640.221
|664.132
|-
|8
|B
|''H''
|B
|''H''
|726.904
|731.6815
|736.151
|-
|9
|H
|''C''
|Hb
|''Cb''
|817.767
|823.142
|828.17
|-
|10
|C\\
|''D\\''
|B#
|''H#''
|908.6305
|914.602
|920.1885
|-
|11
|Hp
|''Cp''
|H
|''C''
|999.4935
|1006.062
|1012.207
|-
|12
|C
|''D''
|C
|''D''
|1090.357
|1097.522
|1104.226
|-
|13
|D
|''S''
|Db
|''Sb''
|1181.22
|1188.982
|1196.245
|-
|14
| colspan="2" |E
|C#
|''D#''
|1272.083
|1280.443
|1288.234
|-
|15
| colspan="2" |F\\
|D
|''S''
|1362.946
|1371.903
|1380.283
|-
|16
| colspan="2" |Ep
| colspan="2" |E
|1453.809
|1463.363
|1472.3015
|-
|17
| colspan="2" |F
| colspan="2" |F
|1544.672
|1554.823
|1557.82
|}Major mode Middletown temperament
{| class="wikitable"
|+
|-
! rowspan="4" |Degrees
! colspan="4" 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" |G
| colspan="2" |Gb
|92.035
|92.225
|92.401
|92.401
|92.8
|92.8
|93.548
|93.5645
|94.1155
|94.88
|94.88
|95.645
|95.669
|96.433
|96.433
|96.739
|97.198
|97.504
|97.504
|98.268
|-
|-
|2
|2
Line 364: Line 1,000:
|''A\\''
|''A\\''
| colspan="2" |F#
| colspan="2" |F#
|171.747
|184.07
|173.394
|184.45
|179.09
|180.197
|182.92
|184.802
|184.802
|185.6
|185.6
|187.139
|198.8245
|188.231
|189.7605
|189.7605
|191.29
|191.337
|192.867
|192.867
|193.478
|194.396
|195.007
|195.007
|196.537
|-
|-
|3
|3
| colspan="2" |Gp
| colspan="2" |Gp
| colspan="2" |G
| colspan="2" |G
|257.621
|276.105
|260.091
|276.675
|268.636
|270.295
|274.381
|277.204
|277.204
|278.399
|278.399
|280.645
|280.693
|282.347
|284.641
|284.641
|286.935
|287.006
|289.3
|289.3
|290.217
|291.594
|292.511
|292.511
|294.805
|-
|-
|4
|4
Line 394: Line 1,040:
|J
|J
|''A''
|''A''
|343.494
|368.14
|346.788
|368.9
|358.181
|360.393
|365.841
|369.605
|369.605
|371.199
|371.199
|374.193
|374.258
|376.462
|379.521
|379.521
|382.58
|382.675
|385.733
|385.733
|386.956
|388.792
|390.015
|390.015
|393.074
|-
|-
|5
|5
Line 410: Line 1,061:
|Ab
|Ab
|''Bb''
|''Bb''
|429.368
|460.175
|433.485
|461.1245
|447.726
|450.492
|457.301
|462.006
|462.006
|463.999
|463.999
|467.741
|467.822
|470.578
|474.401
|474.401
|478.225
|478.343
|482.167
|482.167
|483.695
|485.99
|487.519
|487.519
|491.342
|-
|-
|6
|6
Line 426: Line 1,082:
|J#
|J#
|''A#''
|''A#''
|515.2415
|552.21
|520.182
|553.349
|537.271
|540.59
|548.761
|554.407
|554.407
|556.799
|556.799
|561.29
|561.387
|564.693
|569.2815
|569.2815
|573.87
|574.012
|578.6
|578.6
|580.434
|583.188
|585.022
|585.022
|589.6105
|-
|-
|7
|7
Line 442: Line 1,103:
|A
|A
|''B''
|''B''
|601.115
|644.2455
|606.879
|645.574
|626.516
|630.688
|640.221
|646.808
|646.808
|649.598
|649.598
|654.838
|654.951
|658.809
|664.162
|664.162
|669.515
|669.6805
|675.033
|675.033
|677.173
|680.386
|682.526
|682.526
|687.879
|-
|-
|8
|8
Line 458: Line 1,124:
|B
|B
|''H''
|''H''
|686.989
|736.281
|693.576
|737.8
|716.3615
|720.787
|731.6815
|739.21
|739.21
|742.398
|742.398
|748.386
|748.516
|752.924
|759.042
|759.042
|765.16
|765.349
|771.467
|771.467
|773.912
|777.584
|780.03
|780.03
|783.147
|-
|-
|9
|9
Line 474: Line 1,145:
|Hb
|Hb
|''Cb''
|''Cb''
|772.862
|828.316
|780.273
|830.024
|805.907
|810.885
|823.142
|831.611
|831.611
|835.198
|835.198
|841.934
|842.08
|847.04
|853.922
|853.922
|860.805
|861.018
|867.9
|867.9
|870.416
|874.7852
|877.5335
|877.5335
|884.416
|-
|-
|10
|10
Line 490: Line 1,166:
|B#
|B#
|''H#''
|''H#''
|858.736
|920.351
|866.97
|922.249
|895.452
|900.983
|914.602
|924.012
|924.012
|927.998
|927.998
|935.483
|935.645
|941.155
|948.8025
|948.8025
|956.45
|956.6865
|964.3335
|964.3335
|967.39
|971.9805
|975.037
|975.037
|982.684
|-
|-
|11
|11
Line 506: Line 1,187:
|H
|H
|''C''
|''C''
|944.609
|1012.386
|953.667
|1014.474
|984.997
|991.082
|1006.062
|1016.413
|1016.413
|1020.7975
|1020.7975
|1029.031
|1029.209
|1035.271
|1043.683
|1043.683
|1052.0945
|1052.355
|1060.767
|1060.767
|1064.129
|1069.179
|1072.541
|1072.541
|1080.953
|-
|-
|12
|12
Line 522: Line 1,208:
|C
|C
|''D''
|''D''
|1030.483
|1104.421
|1040.3645
|1106.699
|1074.542
|1081.18
|1097.522
|1108.814
|1108.814
|1113.567
|1113.567
|1122.579
|1122.774
|1129.3865
|1138.563
|1138.563
|1147.7395
|1148.024
|1157.2
|1157.2
|1160.868
|1166.377
|1170.045
|1170.045
|1179.221
|-
|-
|13
|13
Line 538: Line 1,229:
|Db
|Db
|''Sb''
|''Sb''
|1116.3565
|1196.456
|1127.0615
|1198.924
|1164.087
|1171.2785
|1188.982
|1201.216
|1201.216
|1206.397
|1206.397
|1216.127
|1216.338
|1223.502
|1233.443
|1233.443
|1243.384
|1243.692
|1253.6335
|1253.6335
|1257.607
|1263.575
|1267.548
|1267.548
|1277.4895
|-
|-
|14
|14
Line 553: Line 1,249:
|C#
|C#
|''D#''
|''D#''
|1202.23
|1288.491
|1213.759
|1291.1485
|1253.633
|1261.377
|1280.443
|1293.617
|1293.617
|1299.197
|1299.197
|1309.676
|1309.903
|1317.618
|1328.3235
|1328.3235
|1339.026
|1339.361
|1350.067
|1350.067
|1354.346
|1360.773
|1365.052
|1365.052
|1375.758
|-
|-
|15
|15
Line 568: Line 1,269:
|D
|D
|''S''
|''S''
|1288.104
|1380.526
|1300.456
|1383.373
|1343.178
|1351.475
|1371.903
|1386.018
|1386.018
|1391.997
|1391.997
|1403.224
|1403.467
|1411.733
|1423.204
|1423.204
|1434.674
|1435.03
|1446.5
|1446.5
|1451.085
|1457.97
|1462.556
|1462.556
|1474.026
|-
|-
|16
|16
| colspan="2" |Ep
| colspan="2" |Ep
| colspan="2" |E
| colspan="2" |E
|1373.977
|1472.561
|1387.153
|1475.598
|1432.723
|1441.5735
|1463.363
|1478.419
|1478.419
|1454.796
|1484.796
|1496.772
|1497.032
|1505.849
|1518.083
|1518.083
|1530.319
|1530.698
|1542.934
|1542.934
|1547.824
|1555.169
|1560.0595
|1560.0595
|1572.295
|-
|-
|17
|17
| colspan="2" |F
| colspan="2" |F
| 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 00:41, 8 November 2018

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 G Gb 84.706 86.2745 88.235 89.84 90.756 91.765 92.647 94.118 94.929 97.363 98.8235
2 J\\ A\\ F# 169.412 172.549 176.471 179.679 181.513 183.528 185.294 188.235 189.858 194.726 197.647
3 Gp G 254.118 258.8235 264.706 269.519 272.268 275.294 277.941 282.353 284.787 292.089 296.471
4 J A J A 338.8235 345.098 352.941 359.358 363.025 367.059 370.588 376.471 379.716 389.452 395.294
5 A B Ab Bb 423.529 431.3725 441.1765 449.198 453.7815 458.8235 463.235 470.588 474.645 486.815 494.118
6 B\\ H\\ J# A# 508.235 517.647 529.412 539.037 544.538 550.588 555.882 564.706 569.574 584.1785 592.941
7 Ap Bp A B 592.941 603.921 617.647 628.877 635.394 642.353 648.529 658.8235 664.503 681.542 691.765
8 B H B H 677.647 690.169 705.882 718.717 726.05 734.118 741.1765 752.941 759.432 778.905 790.588
9 H C Hb Cb 762.653 776.471 794.118 808.556 816.806 825.882 833.8235 847.059 854.361 876.268 889.412
10 C\\ D\\ B# H# 847.059 862.745 882.353 898.396 907.563 917.647 926.471 941.1765 949.29 973.631 988.235
11 Hp Cp H C 931.765 949.02 970.588 988.235 998.319 1009.412 1019.118 1035.294 1044.219 1070.994 1087.059
12 C D C D 1016.471 1035.294 1058.8235 1078.075 1089.076 1101.1765 1111.765 1129.412 1139.148 1168.357 1185.882
13 D S Db Sb 1101.1765 1121.569 1147.059 1167.914 1179.832 1192.941 1204.412 1223.529 1234.077 1265.72 1284.706
14 E C# D# 1185.882 1027.843 1235.294 1257.754 1270.588 1284.706 1297.059 1317.647 1329.006 1363.083 1383.529
15 F\\ D S 1270.588 1294.118 1323.529 1347.594 1361.3445 1376.471 1389.706 1411.765 1423.935 1460.446 1482.352
16 Ep E 1355.294 1380.392 1411.765 1437.433 1452.101 1468.235 1482.353 1505.882 1518.864 1557.809 1581.1765
17 F 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 G Gb 85.522-87.051 90.259-91.789 92.548-94.077
2 J\\ A\\ F# 171-044-174.1025 180.5185-183.577 185.096-188.155
3 Gp G 256.5655-261.154 270.778-275.366 277.644-282.232
4 J A J A 342.087-348.205 361.037-367.155 370.1915-376.309
5 A B Ab Bb 427.609-435.256 451.2965-458.9435 462.739-470.386
6 B\\ H\\ J# A# 513.131-522.307 541.556-550.732 555.287-564.464
7 Ap Bp A B 598.653-609.359 631.815-642.521 647.835-658.541
8 B H B H 684.1745-696.41. 722.074-734.31 740.383-752.618
9 H C Hb Cb 769.696-783.461 812.334-826.098 832.931-846.6955
10 C\\ D\\ B# H# 855.218-870.512 902.593-917.887 925.479-940.773
11 Hp Cp H C 940.74-957.5635 992.852.1009.676 1018.0265-1034.85
12 C D C D 1026.262-1044.615 1083.1115-1101.464 1110.574-1128.927
13 D S Db Sb 1111.7847-1131.666 1173.371-1193.253 1203.122-1223.005
14 E C# D# 1197.3055-1218.717 1353.889-1375.042 1295.67-1317.082
15 F\\ D S 1282.827-1305.768 1444.149-1466.83 1388.218-1411.159
16 Ep E 1368.249-1392.82 1534.408-1558.619 1480.766-1505.236
17 F 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 G Gb 85.109 85.874 85.932 86.638 86.697 87.462 88.7805 89.334 89.545 90.098 90.31 90.6955
2 J\\ A\\ F# 170.218 171.747 171.865 173.277 173.394 174.9235 177.561 178.667 179.09 180.197 180.62 181.391
3 Gp G 255.327 257.621 257.797 259.915 260.091 262.385 266.341 268.001 268.636 270.295 270.93 272.086
4 J A J A 340.4355 343.494 343.729 346.553 346.788 349.847 355.122 357.335 358.181 360.393 361.2395 362.782
5 A B Ab Bb 425.544 429.368 429.662 433.1915 433.485 437.309 442.902 446.668 447.726 450.492 451.5495 453.477
6 B\\ H\\ J# A# 510.653 515.2415 515.594 519.83 520.182 524.7705 532.683 536.002 537.271 540.59 541.859 544.173
7 Ap Bp A B 595.762 601.115 601.526 606.468 606.879 612.232 621.463 625.3355 626.516 630.688 632.169 634.868
8 B H B H 680.871 686.989 687.459 693.106 693.576 699.694 710.244 714.996 716.3615 720.787 722.479 725.563
9 H C Hb Cb 765.98 772.862 773.391 779.745 780.273 787.156 799.024 804.003 805.907 810.885 812.789 816.259
10 C\\ D\\ B# H# 851.089 858.736 859.323 866.383 866.97 874.6175 887.805 893.336 895.452 900.983 903.099 906.955
11 Hp Cp H C 936.198 944.609 945.256 953.021 953.667 962.079 976.585 982.67 984.997 991.082 993.409 997.65
12 C D C D 1021.3065 1030.483 1031.188 1039.66 1040.3645 1049.541 1065.366 1072.004 1074.542 1081.18 1083.719 1088.346
13 D S Db Sb 1106.415 1116.3565 1117.12 1186.94 1127.0615 1137.003 1154.146 1161.337 1164.087 1171.2785 1174.029. 1179.041
14 E C# D# 1191.524 1202.23 1203.052 1212.936 1213.759 1224.464 1242.927 1250.671 1253.633 1261.377 1264.3385 1269.737
15 F\\ D S 1276.633 1288.104 1288.985 1299.5745 1300.456 1311.926 1331.707 1340.005 1343.178 1351.475 1354.648 1360.432
16 Ep E 1361.741 1373.977 1374.917 1386.213 1387.153 1399.388 1420.488 1426.338 1432.723 1441.5735 1424.958 1451.128
17 F 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 G Gb 90.863 91.46 92.019
2 J\\ A\\ F# 181.726 182.92 184.038
3 Gp G 272.589 274.381 276.0565
4 J A J A 363.452 365.841 368.075
5 A B Ab Bb 454.315 457.301 460.094
6 B\\ H\\ J# A# 545.178 548.761 552.113
7 Ap Bp A B 636.041 640.221 664.132
8 B H B H 726.904 731.6815 736.151
9 H C Hb Cb 817.767 823.142 828.17
10 C\\ D\\ B# H# 908.6305 914.602 920.1885
11 Hp Cp H C 999.4935 1006.062 1012.207
12 C D C D 1090.357 1097.522 1104.226
13 D S Db Sb 1181.22 1188.982 1196.245
14 E C# D# 1272.083 1280.443 1288.234
15 F\\ D S 1362.946 1371.903 1380.283
16 Ep E 1453.809 1463.363 1472.3015
17 F 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 G Gb 92.035 92.225 92.401 92.8 93.548 93.5645 94.1155 94.88 95.645 95.669 96.433 96.739 97.198 97.504 98.268
2 J\\ A\\ F# 184.07 184.45 184.802 185.6 187.139 198.8245 188.231 189.7605 191.29 191.337 192.867 193.478 194.396 195.007 196.537
3 Gp G 276.105 276.675 277.204 278.399 280.645 280.693 282.347 284.641 286.935 287.006 289.3 290.217 291.594 292.511 294.805
4 J A J A 368.14 368.9 369.605 371.199 374.193 374.258 376.462 379.521 382.58 382.675 385.733 386.956 388.792 390.015 393.074
5 A B Ab Bb 460.175 461.1245 462.006 463.999 467.741 467.822 470.578 474.401 478.225 478.343 482.167 483.695 485.99 487.519 491.342
6 B\\ H\\ J# A# 552.21 553.349 554.407 556.799 561.29 561.387 564.693 569.2815 573.87 574.012 578.6 580.434 583.188 585.022 589.6105
7 Ap Bp A B 644.2455 645.574 646.808 649.598 654.838 654.951 658.809 664.162 669.515 669.6805 675.033 677.173 680.386 682.526 687.879
8 B H B H 736.281 737.8 739.21 742.398 748.386 748.516 752.924 759.042 765.16 765.349 771.467 773.912 777.584 780.03 783.147
9 H C Hb Cb 828.316 830.024 831.611 835.198 841.934 842.08 847.04 853.922 860.805 861.018 867.9 870.416 874.7852 877.5335 884.416
10 C\\ D\\ B# H# 920.351 922.249 924.012 927.998 935.483 935.645 941.155 948.8025 956.45 956.6865 964.3335 967.39 971.9805 975.037 982.684
11 Hp Cp H C 1012.386 1014.474 1016.413 1020.7975 1029.031 1029.209 1035.271 1043.683 1052.0945 1052.355 1060.767 1064.129 1069.179 1072.541 1080.953
12 C D C D 1104.421 1106.699 1108.814 1113.567 1122.579 1122.774 1129.3865 1138.563 1147.7395 1148.024 1157.2 1160.868 1166.377 1170.045 1179.221
13 D S Db Sb 1196.456 1198.924 1201.216 1206.397 1216.127 1216.338 1223.502 1233.443 1243.384 1243.692 1253.6335 1257.607 1263.575 1267.548 1277.4895
14 E C# D# 1288.491 1291.1485 1293.617 1299.197 1309.676 1309.903 1317.618 1328.3235 1339.026 1339.361 1350.067 1354.346 1360.773 1365.052 1375.758
15 F\\ D S 1380.526 1383.373 1386.018 1391.997 1403.224 1403.467 1411.733 1423.204 1434.674 1435.03 1446.5 1451.085 1457.97 1462.556 1474.026
16 Ep E 1472.561 1475.598 1478.419 1484.796 1496.772 1497.032 1505.849 1518.083 1530.319 1530.698 1542.934 1547.824 1555.169 1560.0595 1572.295
17 F 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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