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User:Moremajorthanmajor/9edX: Difference between revisions

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Line 94: Line 94:
| colspan="2" |717.241
| colspan="2" |717.241
| colspan="2" |735.632
| colspan="2" |735.632
| |846.667
| |746.667
|-
|-
| |5
| |5
Line 198: Line 198:
|1363.918-1387.293
|1363.918-1387.293
|1398.4501-1422.391
|1398.4501-1422.391
|}Golden tunings
|}Golden tunings±13¢


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="2" |-13¢
! rowspan="3" |Aeolian-Dorian
! rowspan="2" |Mean
! colspan="3" |Dorian
! rowspan="2" |-13¢ (s5D)
! rowspan="3" |Dorian-Mixolydian
! colspan="3" |Subpental
! colspan="4" |Mixolydian
! colspan="3" |Pental
! rowspan="3" |Mixolydian-Ionian
! colspan="3" |Superpental
|-
|-
!+13¢ (A-D)
! rowspan="2" |Subpental
!Mean
! rowspan="2" |Pental
!+13¢
! rowspan="2" |Superpental
!-13¢
! rowspan="2" |Subpental
!-13¢ (S5)
! rowspan="2" |Pental
!Mean
! colspan="2" |Superpental
!Mean
!+13¢ (5)
!-13¢ (D-M)
|-
|-
|1
!Soft
|160.761
!Intense
|162.206
|162.317
|163.65
|163.761
|165.2055
|167.6965
|168.741
|169.141
|170.186
|170.585
|171.314
|-
|-
|2
| |1
|321.522
| |160.761-163.65
|324.411
|162.317-165.2055
|364.633
|167.6965-170.585
|327.3
|168.741-171.63
|327.522
|171.314-174.203
|330.411
|173.091-175.98
|335.393
|173.844-176.733
|337.483
|177.774-180.663
|338.282
|180.707-183.596
|340.3715
|182.729-185.618
|341.171
|-
|342.617
| |2
| |321.522-327.3
|364.633-330.411
|335.393-341.171
|337.483-343.36
|342.617-348.405
|346.182-351.96
|347.688-353.466
|355.548-361.325
|361.415-367.193
|365.4585-371.236
|-
|-
|3
| |3
|482.284
| |482.284-490.95
|486.617
|486.95-495.617
|486.95
|503.089-511.756
|490.95
|506.224-514.891
|491.283
|513.941-522.608
|495.617
|519.2735-527.94
|503.089
|521.532-530.199
|506.224
|533.321-541.988
|507.423
|542.122-550.789
|510.557
|548.188-556.854
|511.756
|513.941
|-
|-
|4
| |4
|643.045
| |643.045-654.6
|648.823
|649.2665-660.822
|649.2665
|670.786-682.341
|654.6
|674.965-686.521
|655.044
|685.255-696.81
|660.822
|692.365-703.92
|670.786
|695.376-706.932
|674.965
|711.095-722.651
|676.564
|722.83-734.385
|680.743
|730.917-742.4725
|682.341
|685.255
|-
|-
|5
| |5
|803.806
| |803.806-818.25
|811.028
|811.583-826.028
|811.583
|838.482-852.927
|818.25
|843.707-858.151
|818.805
|856.568-871.012
|826.028
|865.456-879.9
|838.482
|869.22-883.6645
|843.707
|888.896-903.3135
|845.7045
|903.537-917.982
|850.928
|913.646-928.091
|852.927
|856.568
|-
|-
|6
| |6
|964.567
| |964.567-981.9
|973.234
|973.9-991.233
|973.9
|1006.179-1023.512
|981.9
|1012.448-1029.781
|982.5665
|1027.882-1045.2155
|991.233
|1038.547-1055.88
|1006.179
|1043.064-1060.3975
|1012.448
|1033.634-1083.976
|1014.8455
|1084.245-1101.578
|1021.115
|1096.3755-1113.709
|1023.512
|1027.882
|-
|-
|7
| |7
|1125.328
| |1125.328-1145.55
|1135.4395
|1136.216-1156.439
|1136.216
|1173.875-1194.0975
|1145.55
|1181.189-1201.411
|1146.3275
|1199.196-1219.418
|1156.439
|1211.638-1231.86
|1173.875
|1216.908-1237.13
|1181.189
|1244.417-1264.639
|1183.986
|1264.952-1285.174
|1191.3
|1279.105-1299.327
|1194.0975
|1199.196
|-
|-
|8
|8
|1286.09
|1286.09-1309.2
|1297.645
|1278.2435-1321.644
|1278.2435
|1341.572-1343.36
|1309.2
|1349.9305-1373.042
|1310.089
|1370.5095-1393.621
|1321.644
|1384.729-1407.84
|1341.572
|1390.752-1413.863
|1349.9305
|1422.19-1445.3015
|1353.127
|1445.6595-1445.821
|1361.486
|1461.834-1484.945
|1343.36
|}Minor mode Middletown temperament
|1349.095
|}
Neutral (Dorian-Mixolydian) mode Middletown temperament
Neutral (Dorian-Mixolydian) mode Middletown temperament
{| class="wikitable"
 
|-
!Degrees
!+13¢ (S5D)
!Mean
!-13¢ (s5M)
|-
|1
|171.63
|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
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
|175.2885
|175.98
|176.733
|177.774
|179.218
|180.663
|180.707
|182.152
|182.729
|183.596
|184.174
|185.618
|-
|2
|347.688
|348.405
|349.071
|351.577
|351.96
|353.466
|355.548
|358.4365
|361.325
|361.415
|364.304
|365.4585
|367.193
|368.347
|371.236
|-
|3
|521.532
|522.608
|523.607
|525.865
|527.94
|530.199
|533.321
|537.655
|541.988
|542.122
|546.456
|548.188
|550.789
|552.521
|556.854
|-
|4
|695.376
|696.81
|698.142
|701.154
|703.92
|706.932
|711.095
|716.873
|722.651
|722.83
|728.6075
|730.917
|734.385
|736.695
|742.4725
|-
|5
|869.22
|871.012
|872.678
|876.442
|879.9
|883.6645
|888.896
|896.091
|903.3135
|903.537
|910.759
|913.646
|917.982
|920.8685
|928.091
|-
|6
|1043.064
|1045.2155
|1047.214
|1051.731
|1055.88
|1060.3975
|1033.634
|1075.3095
|1083.976
|1084.245
|1092.911
|1096.3755
|1101.578
|1105.042
|1113.709
|-
|7
|1216.908
|1219.418
|1221.749
|1227.019
|1231.86
|1237.13
|1244.417
|1254.528
|1264.639
|1264.952
|1275.063
|1279.105
|1285.174
|1289.215
|1299.327
|-
|8
|1390.752
|1393.621
|1396.285
|1402.308
|1407.84
|1413.863
|1422.19
|1433.746
|1445.3015
|1445.6595
|1457.215
|1461.834
|1445.821
|1473.3895
|1484.945
|}


By a surprising coincidence, the 9ed of the Golden tenth (7*phi+6)\(5*phi^2)edo is almost exactly every fifth degree of [[34edo|34edo]]. Additionally, those of the Golden Subpental Dorian and Pental and Intense Superpental Mixolydian tenths are almost exactly every third step of [[22edo]], 4edf and equal multiples of 10/9 respectively.
By a surprising coincidence, the 9ed of the Pyrite tenth (7*phi+6)\(5*phi^2)edo is almost exactly every fifth degree of [[34edo|34edo]]. Additionally, those of the Golden Subpental Dorian and Pental and Intense Superpental Mixolydian tenths are almost exactly every third step of [[22edo]], 4edf and equal multiples of 10/9 respectively.


[[Category:EdX]]
[[Category:EdX]]
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