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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]]
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