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User:Moremajorthanmajor/16edX: Difference between revisions

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This is the scale which occurs as the dominant major edX.
This is the scale which occurs as the dominant major edX.
==Intervals==
==Inte==
==rvals==
{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
! rowspan="5" |Degrees
! rowspan="3" |Degrees
! colspan="3" rowspan="5" |Enneatonic
! colspan="3" rowspan="3" |Enneatonic
! colspan="8" | Minor mode Middletown temperament
! colspan="4" rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="2" | Neutral mode Middletown temperament
! colspan="9" |Dorian
! colspan="10" | Major mode Middletown temperament
|-
|-
! colspan="2" rowspan="3" |Intense Aeolian-Dorian
! colspan="9" |Subpental
! colspan="6" |Dorian
! colspan="2" rowspan="3" |Dorian-Mixolydian
! colspan="8" |Mixolydian
! colspan="2" rowspan="3" |Mixolydian-Ionian
|-
|-
! colspan="2" rowspan="2" |Subpental
!Min
! colspan="2" rowspan="2" |Pental
!Golden±13¢
! colspan="2" rowspan="2" |Superpental
!7/3±13¢
! colspan="2" rowspan="2" |Subpental
!Max
! colspan="2" rowspan="2" |Pental
!Min
! colspan="4" |Superpental
!Golden±13¢
!Max
!Min
!Golden±13¢
!Max
!Min
!Golden±13¢
!Max
|-
|-
! colspan="2" |Soft
|1
! colspan="2" |Intense
|-
! width="4%" | Min
! width="4%" | Max
! width="4%" | Min
! width="4%" | Max
! width="4%" | Min
! width="4%" | Max
! width="4%" | Min
! width="4%" | Max
! width="4%" | Min
! width="4%" | Max
! width="4%" | Min
! width="4%" | Max
! width="4%" | Min
! width="4%" | Max
! width="4%" | Min
! width="4%" | Max
! width="4%" | Min
! width="4%" | Max
! width="4%" | Min
! width="4%" | Max
|-
| |1
|1#/2b
|1#/2b
| colspan="2" |F#/Gb
|G#/Jb
| |90
|''G#/Ab''
|90
|90.428-92.053
|90.867-92.492
| colspan="2" |91.667
| colspan="2" |91.667
|91.303-92.928
| colspan="2" |93.75
| colspan="2" |93.75
|94.329-95.943
| colspan="2" |95.4545
| colspan="2" |95.4545
| colspan="2" |96.429
|94.917-96.542
| colspan="2" |97.5
|96.429
| colspan="2" |98.4375
| colspan="2" |100
| colspan="2" |100.862
| colspan="2" |103.448
| |105
|-
|-
| |2
|2
|2
| colspan="2" |G
|2
| |180
|J
|''A''
|180
|180.856-184.106
|181.734-184.984
| colspan="2" |183.333
| colspan="2" |183.333
|182.606-185.856
| colspan="2" |187.5
| colspan="2" |187.5
|188.2585-191.9085
| colspan="2" |190.909
| colspan="2" |190.909
| colspan="2" |192.857
|189.834-193.084
| colspan="2" |195
|192.857
| colspan="2" |196.875
| colspan="2" |200
| colspan="2" |201.724
| colspan="2" |206.897
| |210
|-
|-
| |3
|3
|2#/3b
|2#/3b
|G#/Jb
|J#/Ab
|''G#/Ab''
|''A#/Bb''
| |270
|270
|271.2845-276.159
|272.601-277.476
| colspan="2" |275
| colspan="2" |275
|273.909-278.784
| colspan="2" |281.25
| colspan="2" |281.25
|282.988-287.863
| colspan="2" |286.364
| colspan="2" |286.364
| colspan="2" |289.286
|284.751-289.626
| colspan="2" |292.5
|289.286
| colspan="2" |295.3125
| colspan="2" |300
| colspan="2" |302.586
| colspan="2" |310.345
| |315
|-
|-
| |4
|4
|3
|3
|J
|J
|''A''
|''B''
| |360
|360
|361.712-368.213
|363.468-369.968
| colspan="2" |366.667
| colspan="2" |366.667
|365.212-371.712
| colspan="2" |375
| colspan="2" |375
|377.317-383.817
| colspan="2" |381.818
| colspan="2" |381.818
| colspan="2" |385.714
|379.668-386.168
| colspan="2" |390
|385.714
| colspan="2" |393.75
| colspan="2" |400
| colspan="2" |403.448
| colspan="2" |413.793
| |420
|-
|-
| |5
|5
|3#/4b
|3#/4b
|J#/Ab
|J#/Ab
|''A#/Bb''
|B#/Cb
| |450
|450
|452.141-460.266
|454.335-462.46
| colspan="2" |458.333
| colspan="2" |458.333
|456.5155-464.6405
| colspan="2" |468.75
| colspan="2" |468.75
|471.646-479.771
| colspan="2" |477.273
| colspan="2" |477.273
| colspan="2" |482.143
|474.585-482.71
| colspan="2" |487.5
|482.143
| colspan="2" |492.1875
| colspan="2" |500
| colspan="2" |504.31
| colspan="2" |517.241
| |525
|-
|-
| |6
|6
|4
|4
|A
|A
|''B''
|''C''
| |540
|540
|542.569-552.319
|545.202-554.952
| colspan="2" |550
| colspan="2" |550
|547.819-557.569
| colspan="2" |562.5
| colspan="2" |562.5
|565.974-575.726
| colspan="2" |572.727
| colspan="2" |572.727
| colspan="2" |578.571
|569.502-579.252
| colspan="2" |585
|578.571
| colspan="2" |590.625
| colspan="2" |600
| colspan="2" |605.172
| colspan="2" |620.69
| |630
|-
|-
| |7
|7
|5
|5
|B
|A#/Bb
|''H''
|''C#/Qb''
| |630
|630
|632.997-644.372
|636.0685-647.4435
| colspan="2" |641.667
| colspan="2" |641.667
|639.122-650.497
| colspan="2" |656.25
| colspan="2" |656.25
|660.305-671.68
| colspan="2" |668.182
| colspan="2" |668.182
| colspan="2" |675
|664.419-675.794
| colspan="2" |682.5
|675
| colspan="2" |689.0625
| colspan="2" |700
| colspan="2" |706.0345
| colspan="2" |724.138
| |735
|-
|-
|8
|8
|5#/6b
|5#/6b
|B#/Hb
|B
|''H#/Cb''
|''Q''
|720
|720
|723.425-736.425
|726.9355-739.9355
| colspan="2" |733.333
| colspan="2" |733.333
|730.425-743.425
| colspan="2" |750
| colspan="2" |750
|754.634-767.634
| colspan="2" |763.636
| colspan="2" |763.636
| colspan="2" |771.429
|759.336-771.336
| colspan="2" |780
|771.429
| colspan="2" |787.5
| colspan="2" |800
| colspan="2" |806.897
| colspan="2" |827.586
|840
|-
|-
|9
|9
|6
|6
|H
|C
|''C''
|''D''
|810
|810
|813.854-828.479
|817.802-832.427
| colspan="2" |825
| colspan="2" |825
|821.728-836.353
| colspan="2" |843.75
| colspan="2" |843.75
|848.963-863.588
| colspan="2" |859.091
| colspan="2" |859.091
| colspan="2" |867.857
|854.253-868.878
| colspan="2" |877.5
|867.857
| colspan="2" |885.9375
| colspan="2" |900
| colspan="2" |907.759
| colspan="2" |931.0345
|945
|-
|-
|10
|10
|6#/7b
|6#/7b
|H#/Cb
|C#/Db
|''C#/Db''
|D#/Sb
|900
|900
|904.282-920.532
|908.669-924.919
| colspan="2" |916.667
| colspan="2" |916.667
|913.031-920.281
| colspan="2" |937.5
| colspan="2" |937.5
|943.293-959.543
| colspan="2" |954.5455
| colspan="2" |954.5455
| colspan="2" |964.286
|949.17-965.42
| colspan="2" |975
|964.286
| colspan="2" |984.375
| colspan="2" |1000
| colspan="2" |1008.621
| colspan="2" |1034.483
|1050
|-
|-
|11
|11
|7
|7
|C
|D
|''D''
|''S''
|990
|990
|994.71-1012.585
|999.536-1017.411
| colspan="2" |1018.333
| colspan="2" |1018.333
|1004.334-1022.209
| colspan="2" |1031.25
| colspan="2" |1031.25
|1037.622-1055.497
| colspan="2" |1050
| colspan="2" |1050
| colspan="2" |1060.714
|1044.087-1061.962
| colspan="2" |1072.5
|1060.714
| colspan="2" |1082.8125
| colspan="2" |1100
| colspan="2" |1109.483
| colspan="2" |1137.931
|1155
|-
|-
|12
|12
|7#/8b
|7#/8b
|C#/Db
|D#/Eb
|''D#/Sb''
|''S#/Eb''
|1080
|1080
|1085.138-1104.638
|1090.403-1109.903
| colspan="2" |1100
| colspan="2" |1100
|1095.637-1115.137
| colspan="2" |1125
| colspan="2" |1125
|1131.951-1151.451
| colspan="2" |1145.4545
| colspan="2" |1145.4545
| colspan="2" |1157.143
|1139.004-1158.503
| colspan="2" |1170
|1157.143
| colspan="2" |1181.25
| colspan="2" |1200
| colspan="2" |1210.345
| colspan="2" |1241.379
|1260
|-
|-
|13
|13
|8
|8
|D
| colspan="2" |E
|''S''
|1170
|1170
|1175.566-1106.691
|1181.27-1202.395
| colspan="2" |1191.667
| colspan="2" |1191.667
|1186.94-1208.065
| colspan="2" |1218.75
| colspan="2" |1218.75
|1226.38-1247.405
| colspan="2" |1240.909
| colspan="2" |1240.909
| colspan="2" |1253.571
|1233.921-1255.046
| colspan="2" |1267.5
|1253.571
| colspan="2" |1279.6875
| colspan="2" |1300
| colspan="2" |1311.207
| colspan="2" |1344.828
|1365
|-
|-
|14
|14
|8#/9b
|8#/9b
|D#/Eb
| colspan="2" |E#/Fb
|''S#/Eb''
|1260
|1260
|1265.9945-1288.7445
|1272.137-1294.887
| colspan="2" |1283.333
| colspan="2" |1283.333
|1278.2435-1300.9935
| colspan="2" |1312.5
| colspan="2" |1312.5
|1320.61-1343.36
| colspan="2" |1336.364
| colspan="2" |1336.364
| colspan="2" |1350
|1328.838-1351.588
| colspan="2" |1365
|1350
| colspan="2" |1378.125
| colspan="2" |1400
| colspan="2" |1412.069
| colspan="2" |1448.276
|1470
|-
|-
|15
|15
|9
|9
| colspan="2" |E
| colspan="2" |F
|1350
|1350
|1356.423-1380.798
|1363.004-1387.378
| colspan="2" |1375
| colspan="2" |1375
|1369.547-1393.922
| colspan="2" |1406.25
| colspan="2" |1406.25
|1414.939-1439.314
| colspan="2" |1431.818
| colspan="2" |1431.818
| colspan="2" |1446.429
|1423.755-1448.13
| colspan="2" |1462.5
|1446.429
| colspan="2" |1476.5625
| colspan="2" |1500
| colspan="2" |1512.931
| colspan="2" |1551.724
|1575
|-
|-
|16
|16
|1
|1
| colspan="2" |F
| colspan="2" |G
|1440
|1440
|1446.851-1472.851
|1453.871-1479.871
| colspan="2" |1466.667
| colspan="2" |1466.667
|1460.85-1486.85
| colspan="2" |1500
| colspan="2" |1500
|1509.268-1535.268
| colspan="2" |1527.273
| colspan="2" |1527.273
| colspan="2" |1542.857
|1518.672-1544.672
| colspan="2" |1560
|1542.857
| colspan="2" |1575
|}
| colspan="2" |1600
{| class="wikitable" style="text-align: center"
| colspan="2" |1613.793
!Degrees
| colspan="2" |1655.172
! colspan="5" |Enneatonic
|1680
!Min
|}Most harmonic tunings
{| class="wikitable"
|-
! rowspan="2" |Degrees
! colspan="3" rowspan="2" |Enneatonic
!Minor mode Middletown temperament
!Neutral mode Middletown temperament
!Major mode Middletown temperament
|-
!7/3±13¢
!22/9±13¢
!22/9±13¢
!5/2±13¢
!Golden±13¢
!Max
|-
|-
|1
|1
|1#/2b
|1#/2b
| colspan="2" |F#/Gb
| colspan="2" |F#/Gb
|90.867-92.492
|G#/Jb
|''G#/Ab''
|96.429
|95.9005-97.5255
|95.9005-97.5255
|98.332-99.957
|96.369-97.989
|97.5
|-
|-
| |2
|2
|2
|2
| colspan="2" |G
| colspan="2" |G
|181.734-184.984
|J
|''A''
|192.857
|191.801-195.051
|191.801-195.051
|196.664-199.914
|192.728-195.978
|195
|-
|-
|3
|3
Line 327: Line 292:
|G#/Jb
|G#/Jb
|''G#/Ab''
|''G#/Ab''
|272.601-277.476
|J#/Ab
|''A#/Bb''
|289.286
|287.7015-292.5765
|287.7015-292.5765
|294.996-299.871
|289.092-293.967
|292.5
|-
|-
| |4
|4
|3
|3
|J
|J
|''A''
|''A''
|363.468-369.968
|J
|''B''
|385.714
|383.602-390.102
|383.602-390.102
|393.328-399.828
|385.456-391.956
|390
|-
|-
|5
|5
Line 343: Line 314:
|J#/Ab
|J#/Ab
|''A#/Bb''
|''A#/Bb''
|454.335-462.46
|J#/Ab
|B#/Cb
|482.143
|479.5025-487.6275
|479.5025-487.6275
|491.6605-499.7855
|481.82-489.945
|487.5
|-
|-
| |6
|6
|4
|4
|A
|A
|''B''
|''B''
|545.202-554.952
|A
|''C''
|578.571
|575.403-585.153
|575.403-585.153
|589.993-599.743
|578.184-587.934
|585
|-
|-
|7
|7
Line 359: Line 336:
|B
|B
|''H''
|''H''
|636.0685-647.4435
|A#/Bb
|''C#/Qb''
|675
|671.3035-382.6785
|671.3035-382.6785
|688.325-699.7
|674.548-685.923
|682.5
|-
|-
| |8
|8
|5#/6b
|5#/6b
|B#/Hb
|B#/Hb
|''H#/Cb''
|''H#/Cb''
|726.9355-739.9355
|B
|''Q''
|771.429
|767.204-780.204
|767.204-780.204
|786.657-799.657
|770.912-783.912
|780
|-
|-
|9
|9
Line 375: Line 358:
|H
|H
|''C''
|''C''
|817.802-832.427
|C
|''D''
|867.857
|863.1045-877.7295
|863.1045-877.7295
|884.989-899.614
|867.2755-881.9005
|877.5
|-
|-
| |10
|10
|6#/7b
|6#/7b
|H#/Cb
|H#/Cb
|''C#/Db''
|''C#/Db''
|908.669-924.919
|C#/Db
|D#/Sb
|964.286
|959.005-975.255
|959.005-975.255
|983.321-999.571
|963.6935-979.8895
|975
|-
|-
|11
|11
Line 391: Line 380:
|C
|C
|''D''
|''D''
|999.536-1017.411
|D
|''S''
|1060.714
|1054.9055-1072.7205
|1054.9055-1072.7205
|1081.653-1099.528
|1060.0035-1087.8785
|1072.5
|-
|-
| |12
|12
|7#/8b
|7#/8b
|C#/Db
|C#/Db
|''D#/Sb''
|''D#/Sb''
|1090.403-1109.903
|D#/Eb
|''S#/Eb''
|1157.143
|1150.806-1170.306
|1150.806-1170.306
|1179.985-1199.485
|1156.367-1175.867
|1170
|-
|-
|13
|13
Line 407: Line 402:
|D
|D
|''S''
|''S''
|1181.27-1202.395
| colspan="2" |E
|1253.571
|1246.7065-1267.8315
|1246.7065-1267.8315
|1278.317-1299.442
|1252.731-1273.856
|1267.5
|-
|-
| |14
|14
|8#/9b
|8#/9b
|D#/Eb
|D#/Eb
|''S#/Eb''
|''S#/Eb''
|1272.137-1294.887
| colspan="2" |E#/Fb
|1350
|1342.607-1365.357
|1342.607-1365.357
|1376.6495-1399.3995
|1349.095-1371.845
|1365
|-
|-
|15
|15
|9
|9
| colspan="2" |E
| colspan="2" |E
|1363.004-1387.378
| colspan="2" |F
|1446.429
|1438.507-1462.882
|1438.507-1462.882
|1474.982-1499.366
|1445.459-1469.834
|1462.5
|-
|-
|16
|16
|1
|1
| colspan="2" |F
| colspan="2" |F
|1453.871-1479.871
| colspan="2" |G
|1542.857
|1534.408-1560.408
|1534.408-1560.408
|1573.314-1599.314
|1541.823-1567.823
|}Golden tunings±13¢
|1560
 
|}
{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
|-
! rowspan="4" |Degrees
! rowspan="4" |Degrees
! colspan="3" rowspan="4" |Enneatonic
! colspan="3" rowspan="4" |Enneatonic
! colspan="4" | Minor mode Middletown temperament
! colspan="13" |Mixolydian
! Neutral mode Middletown temperament
! colspan="3" rowspan="3" |Mixolydian-Ionian
! colspan="5" | Major mode Middletown temperament
|-
|-
! rowspan="3" |Intense Aeolian-Dorian
! colspan="3" rowspan="2" |Subpental
! colspan="3" |Dorian
! colspan="4" rowspan="2" |Pental
! rowspan="3" |Dorian-Mixolydian
! colspan="6" |Superpental
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
|-
! rowspan="2" |Subpental
! colspan="3" |Soft
! rowspan="2" |Pental
! colspan="3" |Intense
! rowspan="2" |Superpental
! rowspan="2" |Subpental
! rowspan="2" |Pental
! colspan="2" |Superpental
|-
|-
!Soft
! width="4%" | Min
!Intense
!Golden±13¢
! width="4%" | Max
! width="4%" | Min
!Golden±13¢
!5/2±13¢
! width="4%" | Max
! width="4%" | Min
!Golden±13¢
! width="4%" | Max
! width="4%" | Min
!Golden±13¢
! width="4%" | Max
!Min
!Golden±13¢
!Max
|-
|-
| |1
| |1
|1#/2b
|1#/2b
| colspan="2" |F#/Gb
| colspan="2" |F#/Gb
| |90.428-92.053
|97.5
|91.303-92.928
|94.329-95.943
|94.917-96.542
|96.369-97.989
|97.364-98.989
|97.364-98.989
| colspan="2" |98.4375
|97.787-99.412
|97.787-99.412
|98.332-99.957
| colspan="2" |100
|99.998-101.623
|99.998-101.623
| colspan="2" |100.862
|101.648-103.273
|101.648-103.273
| colspan="2" |103.448
|102.785-104.41
|102.785-104.41
|105
|-
|-
| |2
| |2
|2
|2
| colspan="2" |G
| colspan="2" |G
| |180.856-184.106
|195
|182.606-185.856
|188.2585-191.9085
|189.834-193.084
|192.728-195.978
|194.7275-197.9775
|194.7275-197.9775
| colspan="2" |196.875
|195.5745-198.8245
|195.5745-198.8245
|196.664-199.914
| colspan="2" |200
|199.9955-203.2455
|199.9955-203.2455
| colspan="2" |201.724
|203.296-206.546
|203.296-206.546
| colspan="2" |206.897
|205.57-208.82
|205.57-208.82
|210
|-
|-
| |3
| |3
Line 489: Line 503:
|G#/Jb
|G#/Jb
|''G#/Ab''
|''G#/Ab''
| |271.2845-276.159
|292.5
|273.909-278.784
|282.988-287.863
|284.751-289.626
|289.092-293.967
|292.091-296.966
|292.091-296.966
| colspan="2" |295.3125
|293.362-298.237
|293.362-298.237
|294.996-299.871
| colspan="2" |300
|299.993-304.868
|299.993-304.868
| colspan="2" |302.586
|304.944-309.819
|304.944-309.819
| colspan="2" |310.345
|308.356-313.231
|308.356-313.231
|315
|-
|-
| |4
| |4
Line 504: Line 520:
|J
|J
|''A''
|''A''
| |361.712-368.213
|390
|365.212-371.712
|377.317-383.817
|379.668-386.168
|385.456-391.956
|389.455-395.955
|389.455-395.955
| colspan="2" |393.75
|391.149-397.649
|391.149-397.649
|393.328-399.828
| colspan="2" |400
|399.991-406.491
|399.991-406.491
| colspan="2" |403.448
|406.592-413.092
|406.592-413.092
| colspan="2" |413.793
|411.141-417.641
|411.141-417.641
|420
|-
|-
| |5
| |5
Line 519: Line 537:
|J#/Ab
|J#/Ab
|''A#/Bb''
|''A#/Bb''
| |452.141-460.266
|487.5
|456.5155-464.6405
|471.646-479.771
|474.585-482.71
|481.82-489.945
|486.819-494.944
|486.819-494.944
| colspan="2" |492.1875
|488.936-497.061
|488.936-497.061
|491.6605-499.7855
| colspan="2" |500
|499.989-508.114
|499.989-508.114
| colspan="2" |504.31
|508.24-516.365
|508.24-516.365
| colspan="2" |517.241
|513.926-522.051
|513.926-522.051
|525
|-
|-
| |6
| |6
Line 534: Line 554:
|A
|A
|''B''
|''B''
| |542.569-552.319
|585
|547.819-557.569
|565.974-575.726
|569.502-579.252
|578.184-587.934
|584.183-593.933
|584.183-593.933
| colspan="2" |590.625
|586.724-596.474
|586.724-596.474
|589.993-599.743
| colspan="2" |600
|599.987-609.737
|599.987-609.737
| colspan="2" |605.172
|609.888-619.638
|609.888-619.638
| colspan="2" |620.69
|616.711-626.461
|616.711-626.461
|630
|-
|-
| |7
| |7
Line 549: Line 571:
|B
|B
|''H''
|''H''
| |632.997-644.372
|682.5
|639.122-650.497
|660.305-671.68
|664.419-675.794
|674.548-685.923
|681.546-692.921
|681.546-692.921
| colspan="2" |689.0625
|684.571-695.886
|684.571-695.886
|688.325-699.7
| colspan="2" |700
|699.984-711.359
|699.984-711.359
| colspan="2" |706.0345
|711.5355-722.9105
|711.5355-722.9105
| colspan="2" |724.138
|719.496-730.871
|719.496-730.871
|735
|-
|-
|8
|8
Line 564: Line 588:
|B#/Hb
|B#/Hb
|''H#/Cb''
|''H#/Cb''
|723.425-736.425
|780
|730.425-743.425
|754.634-767.634
|759.336-771.336
|770.912-783.912
|778.91-791.91
|778.91-791.91
| colspan="2" |787.5
|782.298-795.298.
|782.298-795.298.
|786.657-799.657
| colspan="2" |800
|799.982-812.982
|799.982-812.982
| colspan="2" |806.897
|813.1835-826.1835
|813.1835-826.1835
| colspan="2" |827.586
|822.282-835.282
|822.282-835.282
|840
|-
|-
|9
|9
Line 579: Line 605:
|H
|H
|''C''
|''C''
|813.854-828.479
|877.5
|821.728-836.353
|848.963-863.588
|854.253-868.878
|867.2755-881.9005
|876.274-890.899
|876.274-890.899
| colspan="2" |885.9375
|880.085-894.71
|880.085-894.71
|884.989-899.614
| colspan="2" |900
|899.98-914.605
|899.98-914.605
| colspan="2" |907.759
|914.831-929.456
|914.831-929.456
| colspan="2" |931.0345
|925.067-939.692
|925.067-939.692
|945
|-
|-
|10
|10
Line 594: Line 622:
|H#/Cb
|H#/Cb
|''C#/Db''
|''C#/Db''
|904.282-920.532
|975
|913.031-920.281
|943.293-959.543
|949.17-965.42
|963.6935-979.8895
|973.638-989.888
|973.638-989.888
| colspan="2" |984.375
|977.873-994.123
|977.873-994.123
|983.321-999.571
| colspan="2" |1000
|999.978-1016.238
|999.978-1016.238
| colspan="2" |1008.621
|1016.479-1032.729
|1016.479-1032.729
| colspan="2" |1034.483
|1027.852-1044.102
|1027.852-1044.102
|1050
|-
|-
|11
|11
Line 609: Line 639:
|C
|C
|''D''
|''D''
|994.71-1012.585
|1072.5
|1004.334-1022.209
|1037.622-1055.497
|1044.087-1061.962
|1060.0035-1087.8785
|1071.0015-1088.8765
|1071.0015-1088.8765
| colspan="2" |1082.8125
|1075.66-1093.535
|1075.66-1093.535
|1081.653-1099.528
| colspan="2" |1100
|1099.975-1117.85
|1099.975-1117.85
| colspan="2" |1109.483
|1118.127-1136.002
|1118.127-1136.002
| colspan="2" |1137.931
|1130.637-1148.512
|1130.637-1148.512
|1155
|-
|-
|12
|12
Line 624: Line 656:
|C#/Db
|C#/Db
|''D#/Sb''
|''D#/Sb''
|1085.138-1104.638
|1170
|1095.637-1115.137
|1131.951-1151.451
|1139.004-1158.503
|1156.367-1175.867
|1168.365-1187.865
|1168.365-1187.865
| colspan="2" |1181.25
|1173.447-1192.947
|1173.447-1192.947
|1179.985-1199.485
| colspan="2" |1200
|1199.973-1219.473
|1199.973-1219.473
| colspan="2" |1210.345
|1219.775-1239.275
|1219.775-1239.275
| colspan="2" |1241.379
|1233.422-1252.922
|1233.422-1252.922
|1260
|-
|-
|13
|13
Line 639: Line 673:
|D
|D
|''S''
|''S''
|1175.566-1106.691
|1267.5
|1186.94-1208.065
|1226.38-1247.405
|1233.921-1255.046
|1252.731-1273.856
|1265.729-1286.854
|1265.729-1286.854
| colspan="2" |1279.6875
|1271.234-1292.359
|1271.234-1292.359
|1278.317-1299.442
| colspan="2" |1300
|1299.971-1321.096
|1299.971-1321.096
| colspan="2" |1311.207
|1321.423-1342.548
|1321.423-1342.548
| colspan="2" |1344.828
|1336.208-1357.333
|1336.208-1357.333
|1365
|-
|-
|14
|14
Line 654: Line 690:
|D#/Eb
|D#/Eb
|''S#/Eb''
|''S#/Eb''
|1265.9945-1288.7445
|1365
|1278.2435-1300.9935
|1320.61-1343.36
|1328.838-1351.588
|1349.095-1371.845
|1363.093-1385.843
|1363.093-1385.843
| colspan="2" |1378.125
|1369.022-1391.772
|1369.022-1391.772
|1376.6495-1399.3995
| colspan="2" |1400
|1399.968-1422.719
|1399.968-1422.719
| colspan="2" |1412.069
|1423.071-1445.821
|1423.071-1445.821
| colspan="2" |1448.276
|1438.993-1461.743
|1438.993-1461.743
|1470
|-
|-
|15
|15
|9
|9
| colspan="2" |E
| colspan="2" |E
|1356.423-1380.798
|1462.5
|1369.547-1393.922
|1414.939-1439.314
|1423.755-1448.13
|1445.459-1469.834
|1460.457-1484.832
|1460.457-1484.832
| colspan="2" |1476.5625
|1455.809-1491.184
|1455.809-1491.184
|1474.982-1499.366
| colspan="2" |1500
|1499.9665-1524.3415
|1499.9665-1524.3415
| colspan="2" |1512.931
|1524.719-1549.094
|1524.719-1549.094
| colspan="2" |1551.724
|1541.778-1566.153
|1541.778-1566.153
|1575
|-
|-
|16
|16
|1
|1
| colspan="2" |F
| colspan="2" |F
|1446.851-1472.851
|1560
|1460.85-1486.85
|1509.268-1535.268
|1518.672-1544.672
|1541.823-1567.823
|1557.82-1583.82
|1557.82-1583.82
| colspan="2" |1575
|1564.596-1590.596
|1564.596-1590.596
|1573.314-1599.314
| colspan="2" |1600
|1599.964-1625.964
|1599.964-1625.964
| colspan="2" |1613.793
|1626.366-1652.366
|1626.366-1652.366
| colspan="2" |1655.172
|1644.563-1670.563
|1644.563-1670.563
|1680
|}By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.596 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of [[110edo]], and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step.
|}By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.596 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo or almost exactly the Golden Subpental Mixolydian step or every ninth step of [[110edo]], and tuning 4:3 pure creates an almost exact 43/74edo fifth. Also, the Golden Soft Superpental Mixolydian step is almost exactly (25/24)^(10/7) and tuning 12:7 pure creates almost exactly the Golden Mixolydian-Ionian step.
[[Category:16-tone]]
[[Category:16-tone]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/16edX"