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User:Moremajorthanmajor/9edX: Difference between revisions

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| colspan="2" |1471.264
| colspan="2" |1471.264
|1493.333
|1493.333
|}Most harmonic tunings
{| class="wikitable"
|-
! rowspan="2" |Degrees
!Minor mode Middletown temperament
!Neutral mode Middletown temperament
!Major mode Middletown temperament
|-
!7/3±13¢
!22/9±13¢
!5/2±13¢
|-
| |1
|161.541-164.43
|170.49-173.379
|174.813-177.7015
|-
| |2
|323.082-328.86
|340.9795-346.757
|349.625-355.403
|-
| |3
|484.624-493.29
|511.469-520.136
|524.438-533.105
|-
| |4
|646.165-657.72
|681.959-693.515
|699.2505-710.806
|-
| |5
|807.706-822.1505
|852.489-866.893
|874.063-888.508
|-
| |6
|969.247-986.581
|1022.939-1040.272
|1048.876-1066.5425
|-
| |7
|1130.7885-1151.011
|1193.428-1215.651
|1223.688-1244.466
|-
|8
|1292.33-1315.441
|1363.918-1387.293
|1398.4501-1422.391
|}Golden tunings
|}Golden tunings
Minor mode Middletown temperament
{| class="wikitable"
{| class="wikitable"
|+
|+
! rowspan="4" |Degrees
! rowspan="3" |Degrees
! colspan="4" |Minor mode Middletown temperament
! colspan="3" |Aeolian-Dorian
!Neutral mode Middletown temperament
! colspan="9" |Dorian
! 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" |-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
|160.761
|162.206
|162.206
|162.317
|163.65
|163.761
|163.761
|165.2055
|167.6965
|168.741
|169.141
|169.141
|170.186
|170.186
|170.585
|171.314
|-
|2
|321.522
|324.411
|364.633
|327.3
|327.522
|330.411
|335.393
|337.483
|338.282
|340.3715
|341.171
|342.617
|-
|3
|482.284
|486.617
|486.95
|490.95
|491.283
|495.617
|503.089
|506.224
|507.423
|510.557
|511.756
|513.941
|-
|4
|643.045
|648.823
|649.2665
|654.6
|655.044
|660.822
|670.786
|674.965
|676.564
|680.743
|682.341
|685.255
|-
|5
|803.806
|811.028
|811.583
|818.25
|818.805
|826.028
|838.482
|843.707
|845.7045
|850.928
|852.927
|856.568
|-
|6
|964.567
|973.234
|973.9
|981.9
|982.5665
|991.233
|1006.179
|1012.448
|1014.8455
|1021.115
|1023.512
|1027.882
|-
|7
|1125.328
|1135.4395
|1136.216
|1145.55
|1146.3275
|1156.439
|1173.875
|1181.189
|1183.986
|1191.3
|1194.0975
|1199.196
|-
|8
|1286.09
|1297.645
|1278.2435
|1309.2
|1310.089
|1321.644
|1341.572
|1349.9305
|1353.127
|1361.486
|1343.36
|1349.095
|}
Neutral (Dorian-Mixolydian) mode Middletown temperament
{| class="wikitable"
|-
!Degrees
!+13¢ (S5D)
!Mean
!-13¢ (s5M)
|-
|1
|171.63
|172.758
|172.758
|173.091
|-
|2
|343.36
|345.516
|346.182
|-
|3
|514.891
|518.274
|519.2735
|-
|4
|686.521
|691.0325
|692.365
|-
|5
|858.151
|863.791
|965.456
|-
|6
|1029.781
|1036.549
|1038.547
|-
|7
|1201.411
|1209.307
|1211.638
|-
|8
|1373.042
|1382.065
|1384.729
|}
Major mode Middletown temperament
{| class="wikitable"
|-
! rowspan="4" |Degrees
! 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
|173.844
|174.203
|174.536
|174.536
|175.2885
|175.2885
|175.98
|176.733
|177.774
|179.218
|179.218
|180.663
|180.707
|182.152
|182.152
|182.729
|183.596
|184.174
|184.174
|185.618
|-
|-
|2
|2
|324.411
|347.688
|327.522
|348.405
|338.282
|340.3715
|345.516
|349.071
|349.071
|351.577
|351.577
|351.96
|353.466
|355.548
|358.4365
|358.4365
|361.325
|361.415
|364.304
|364.304
|365.4585
|367.193
|368.347
|368.347
|371.236
|-
|-
|3
|3
|486.617
|521.532
|491.283
|522.608
|507.423
|510.557
|518.274
|523.607
|523.607
|525.865
|525.865
|527.94
|530.199
|533.321
|537.655
|537.655
|541.988
|542.122
|546.456
|546.456
|548.188
|550.789
|552.521
|552.521
|556.854
|-
|-
|4
|4
|648.823
|695.376
|655.044
|696.81
|676.564
|680.743
|691.0325
|698.142
|698.142
|701.154
|701.154
|703.92
|706.932
|711.095
|716.873
|716.873
|722.651
|722.83
|728.6075
|728.6075
|730.917
|734.385
|736.695
|736.695
|742.4725
|-
|-
|5
|5
|811.028
|869.22
|818.805
|871.012
|845.7045
|850.928
|863.791
|872.678
|872.678
|876.442
|876.442
|879.9
|883.6645
|888.896
|896.091
|896.091
|903.3135
|903.537
|910.759
|910.759
|913.646
|917.982
|920.8685
|920.8685
|928.091
|-
|-
|6
|6
|973.234
|1043.064
|982.5665
|1045.2155
|1014.8455
|1021.115
|1036.549
|1047.214
|1047.214
|1051.731
|1051.731
|1055.88
|1060.3975
|1033.634
|1075.3095
|1075.3095
|1083.976
|1084.245
|1092.911
|1092.911
|1096.3755
|1101.578
|1105.042
|1105.042
|1113.709
|-
|-
|7
|7
|1135.4395
|1216.908
|1146.3275
|1219.418
|1183.986
|1191.3
|1209.307
|1221.749
|1221.749
|1227.019
|1227.019
|1231.86
|1237.13
|1244.417
|1254.528
|1254.528
|1264.639
|1264.952
|1275.063
|1275.063
|1279.105
|1285.174
|1289.215
|1289.215
|1299.327
|-
|-
|8
|8
|1297.645
|1390.752
|1310.089
|1393.621
|1353.127
|1361.486
|1382.065
|1396.285
|1396.285
|1402.308
|1402.308
|1407.84
|1413.863
|1422.19
|1433.746
|1433.746
|1445.3015
|1445.6595
|1457.215
|1457.215
|1461.834
|1445.821
|1473.3895
|1473.3895
|1484.945
|}
|}


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