User:Moremajorthanmajor/16edX: Difference between revisions

 
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This is the scale which occurs as the dominant reformed Mixolydian mode.
'''16edX''' is the scale which occurs as the dominant reformed Mixolydian mode. It also gives the period of the 16th-decade Roccocavallo branch of the Carrera temperament family.
==Intervals==
== Intervals==
{| class="wikitable" style="text-align: center"
{| class="wikitable"
! rowspan="3" |Degrees
|+
! colspan="3" rowspan="3" |Enneatonic
!Decade
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
! Period
! colspan="9" |Dorian
!Notes
|-
! colspan="3" |Subpental
! colspan="3" |Pental
! colspan="3" |Superpental
|-
|-
!Min-comma
| 6\5
!Med
|90.000
!Max+comma
|Intense Aeolian-Subpental Dorian mode begins
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
|-
|-
|1
|17\14
|1#/2b
| 91.071
|G#/Jb
|
|''G#/Ab''
|87.5-90
|91.071
| colspan="2" |89.167-94.167
|92.308
| colspan="2" |91.25-96.25
|95
| colspan="2" |92.9545-97.9545
|95.833
|96.429-98.929
|-
|-
|2
|11\9
|2
|91.667
|J
| Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|''A''
|175-180
|182.143
| colspan="2" |178.333-188.333
|184.615
| colspan="2" |182.5-192.5
|190
| colspan="2" |185.909-195.909
|191.667
|192.857-197.857
|-
|-
|3
|16\13
|2#/3b
| 92.308
|J#/Ab
|
|''A#/Bb''
|262.5-270
|273.214
| colspan="2" |267.5-282.5
|276.923
| colspan="2" |273.75-288.75
|285
| colspan="2" |278.864-293.864
|287.5
|289.286-296.786
|-
|-
|4
|5\4
|3
|93.750
|A
|Subpental Dorian mode ends, Pental Dorian mode begins
|''B''
|350-360
|364.286
| colspan="2" |356.667-376.667
|369.231
| colspan="2" |365-385
|380
| colspan="2" |371.818-391.818
|383.333
|385.714-395.714
|-
|-
|5
|24\19
|3#/4b
|94.737
|A#/Bb
|
|B#/Cb
|437.5-450
|455.357
| colspan="2" |445.833-470.833
|461.5385
| colspan="2" |456.25-481.25
|475
| colspan="2" |464.773-489.773
|479.167
|482.143-494.643
|-
|-
|6
|19\15
|4
|95.000
|B
|
|''C''
|525-540
|546-429
| colspan="2" |535-565
|553.846
| colspan="2" |547.5-577.5
|570
| colspan="2" |557.727-587.727
|575
|578.571-593.571
|-
|-
|7
|14\11
|5
|95.455
|C
|Pental Dorian mode ends, Superpental Dorian mode begins
|''Q''
|612.5-630
|637.5
| colspan="2" |624.167-659.167
|646.154
| colspan="2" |638.75-673.75
|665
| colspan="2" |650.682-685.682
|670.833
|675-692.5
|-
|-
|8
|23\18
|5#/6b
|95.833
|C#/Qb
|
|''Q#/Db''
|700-720
|728.571
| colspan="2" |713.333-753.333
|738.4615
| colspan="2" |730-770
|760
| colspan="2" |743.636-783.636
|766.667
|771.429-791.429
|-
|9
|6
|Q
|''D''
|787.5-810
|819.642
| colspan="2" |802.5-847.5
|830.769
| colspan="2" |821.25-856.25
|855
| colspan="2" |836.591-875.591
|862.5
|867.857-890.357
|-
|10
|6#/7b
|Q#/Db
|D#/Sb
|875-900
|910.714
| colspan="2" |891.667-941.667
|923.071
| colspan="2" |912.5-962.5
|950
| colspan="2" |929.5455-979.5455
|958.333
|964.286-989.286
|-
|11
|7
|D
|''S''
|962.5-990
|1001.786
| colspan="2" |980.833-1035.833
|1015.385
| colspan="2" |1003.75-1058.75
|1045
| colspan="2" |1022.5-1077.5
|1054.167
|1060.714-1088.214
|-
|12
|7#/8b
|D#/Eb
|''S#/Eb''
|1050-1080
|1092.857
| colspan="2" |1070-1130
|1107.692
| colspan="2" |1095-1155
|1140
| colspan="2" |1115.4545-1175.4545
|1150
|1157.143-1187.143
|-
|13
|8
| colspan="2" |E
|1137.5-1170
|1183.929
| colspan="2" |1159.167-1224.167
|1200
| colspan="2" |1186.25-1251.25
|1235
| colspan="2" |1208.409-1273.409
|1245.833
|1253.571-1286.071
|-
|14
|8#/9b
| colspan="2" |E#/Fb
|1225-1260
|1275
| colspan="2" |1248.333-1318.333
|1292.308
| colspan="2" |1277.5-1347.5
|1330
| colspan="2" |1301.364-1371.364
|1341.667
|1350-1385
|-
|-
|15
|9\7
|9
|96.429
| colspan="2" |F
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|1312.5-1350
|1366.071
| colspan="2" |1337.5-1412.5
|1384.615
| colspan="2" |1368.75-1443.75
|1425
| colspan="2" |1394.318-1469.318
|1437.5
|1446.429-1483.929
|-
|-
|16
|31\24
|1
|96.875
| colspan="2" |G
|
|1400-1440
|1457.143
| colspan="2" |1426.667-1506.667
|1476.923
| colspan="2" |1460-1540
|1520
| colspan="2" |1487.273-1567.273
|1533.333
|1542.857-1582.857
|}
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! colspan="5" rowspan="2" |Enneatonic
! colspan="4" |Mohajira
! colspan="3" |Beatles
|-
|-
!Min-comma
|22\17
!''r¢''
|97.059
!Med
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
!Max+comma
!Min-comma
!Med
!Max+comma
|-
|-
|1
|35\27
|1#/2b
| colspan="2" |F#/Gb
|G#/Jb
|''G#/Ab''
|93.929-96.429
| colspan="2" |''96.875''
| colspan="2" |94.559-99.559
|97.222
|97.222
|97.5-100
|
|-
|-
|2
| 13\10
|2
|97.500
| colspan="2" |G
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|J
|''A''
|187.857-192.857
| colspan="2" |''193.75''
| colspan="2" |189.118-199.118
|194.444
|195-200
|-
|-
|3
|17\13
|2#/3b
|98.077
|G#/Jb
|
|''G#/Ab''
|J#/Ab
|''A#/Bb''
|281.786-289.286
| colspan="2" |''290.625''
| colspan="2" |283.6765-298.6765
|291.667
|292.5-300
|-
|4
|3
|J
|''A''
|J
|''B''
|375.714-385.714
| colspan="2" |''387.5''
| colspan="2" |378.235-398.235
|388.889
|390-400
|-
|5
|3#/4b
|J#/Ab
|''A#/Bb''
|J#/Ab
|B#/Cb
|469.643-482.143
| colspan="2" |''484.375''
| colspan="2" |472.794-497.794
|486.111
|487.5-500
|-
|6
|4
|A
|''B''
|A
|''C''
|563.571-578.571
| colspan="2" |''581.25''
| colspan="2" |567.353-597.353
|583.333
|585-600
|-
|7
|5
|B
|''H''
|A#/Bb
|''C#/Qb''
|657.5-675
| colspan="2" |''678.125''
| colspan="2" |661.912-696.912
|680.556
|682.5-700
|-
|8
|5#/6b
|B#/Hb
|''H#/Cb''
|B
|''Q''
|751.429-771.429
| colspan="2" |''775''
| colspan="2" |756.471-796.471
|777.778
|780-800
|-
|9
|6
|H
|''C''
|C
|''D''
|845.357-867.857
| colspan="2" |''871.875''
| colspan="2" |851.029-895.029
|875
|877.5-900
|-
|10
|6#/7b
|H#/Cb
|''C#/Db''
|C#/Db
|D#/Sb
|939.286-964.286
| colspan="2" |''968.75''
| colspan="2" |945.588-995.588
|972.222
|975-1000
|-
|11
|7
|C
|''D''
|D
|''S''
|1033.214-1060.714
| colspan="2" |''1065.625''
| colspan="2" |1040.147-1095.147
|1069.444
|1072.5-1100
|-
|12
|7#/8b
|C#/Db
|''D#/Sb''
|D#/Eb
|''S#/Eb''
|1127.143-1157.143
| colspan="2" |''1162.5''
| colspan="2" |1134.706-1194.706
|1166.667
|1170-1200
|-
|13
|8
|D
|''S''
| colspan="2" |E
|1223.071-1253.571
| colspan="2" |''1259.375''
| colspan="2" |1229.265-1294.265
|1263.889
|1267.5-1300
|-
|14
|8#/9b
|D#/Eb
|''S#/Eb''
| colspan="2" |E#/Fb
|1315-1350
| colspan="2" |''1356.25''
| colspan="2" |1323.8235-1393.8235
|1361.111
|1365-1400
|-
|15
|9
| colspan="2" |E
| colspan="2" |F
|1408.929-1446.429
| colspan="2" |''1453.125''
| colspan="2" |1418.382-1493.382
|1458.333
|1462.5-1500
|-
|16
|1
| colspan="2" |F
| colspan="2" |G
|1502.857-1542.857
| colspan="2" |''1550''
| colspan="2" |1512.941-1592.941
|1555.556
|1560-1600
|}
{| class="wikitable" style="text-align: center"
|-
! rowspan="4" |Degrees
! colspan="3" rowspan="4" |Enneatonic
! colspan="12" |Mixolydian
! colspan="3" rowspan="3" |Mixolydian-Ionian
|-
! colspan="3" rowspan="2" |Subpental
! colspan="3" rowspan="2" |Pental
! colspan="6" |Superpental
|-
! colspan="3" |Soft
! colspan="3" |Intense
|-
|-
! width="4%" |Min-comma
|21\16
!Med
|98.438
! width="4%" |Max+comma
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
! width="4%" |Min-comma
!Med
! width="4%" |Max+comma
! width="4%" |Min-comma
!Med
! width="4%" |Max+comma
! width="4%" |Min-comma
!Med
! width="4%" |Max+comma
!Min-comma
!Med
!Max+comma
|-
|-
| |1
|25\19
|1#/2b
| colspan="2" |F#/Gb
|95-97.5
|98.077
| colspan="2" |95.9375-100.9375
|98.684
|98.684
| colspan="2" |97.5-102.5
|
|100.781
| colspan="2" |98.362-103.362
|102.155
| colspan="2" |100.948-105.948
|103.6765
|105-107.5
|-
| |2
|2
| colspan="2" |G
|190-195
|196.154
| colspan="2" |191.875-201.875
|197.368
| colspan="2" |195-205
|201.5625
| colspan="2" |196.724-206.724
|204.31
| colspan="2" |201.897-211.897
|207.353
|210-215
|-
| |3
|2#/3b
|G#/Jb
|''G#/Ab''
|285-292.5
|294.231
| colspan="2" |287.8125-302.8125
|296.053
| colspan="2" |292.5-307.5
|302.344
| colspan="2" |295.086-310.086
|306.4655
| colspan="2" |302.845-316.845
|311.029
|315-322.5
|-
| |4
|3
|J
|''A''
|380-390
|392.308
| colspan="2" |383.75-403.75
|394.737
| colspan="2" |390-410
|403.125
| colspan="2" |393.448-413.448
|408.621
| colspan="2" |403.793-423.793
|414.706
|420-430
|-
| |5
|3#/4b
|J#/Ab
|''A#/Bb''
|475-487.5
|490.385
| colspan="2" |479.6875-504.6875
|493.421
| colspan="2" |487.5-512.5
|503.906
| colspan="2" |491.81-516.81
|510.776
| colspan="2" |504.741-529.741
|518.382
|525-537.5
|-
| |6
|4
|A
|''B''
|570-585
|588.4615
| colspan="2" |575.625-605.625
|592.105
| colspan="2" |585-615
|604.6875
| colspan="2" |590.172-620.172
|612.931
| colspan="2" |605.69-635.69
|622.059
|630-645
|-
|-
| |7
|29\22
|5
|98.864
|B
|
|''H''
|665-682.5
|686.5385
| colspan="2" |671.5625-706.5625
|690.7895
| colspan="2" |682.5-717.5
|705.469
| colspan="2" |688.5345-723.5345
|715.086
| colspan="2" |706.638-741.638
|725.735
|735-752.5
|-
|-
|8
|33\25
|5#/6b
|99.000
|B#/Hb
|
|''H#/Cb''
|760-780
|784.615
| colspan="2" |767.5-807.5
|789.474
| colspan="2" |780-820
|806.25
| colspan="2" |786.897-826.897
|817.241
| colspan="2" |807.586-847.586
|829.412
|840-860
|-
|-
|9
|4\3
|6
|100.000
|H
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|''C''
|855-877.5
|882.962
| colspan="2" |863.4375-908.4375
|888.158
| colspan="2" |877.5-922.5
|907.031
| colspan="2" |885.259-930.259
|919.397
| colspan="2" |908.5345-953.5345
|933.088
|945-967.5
|-
|-
|10
|19\14
|6#/7b
|101.786
|H#/Cb
|
|''C#/Db''
|950-975
|980.769
| colspan="2" |959.375-1009.375
|986.842
| colspan="2" |975-1025
|1007.8125
| colspan="2" |983.621-1033.621
|1021.552
| colspan="2" |1009.483-1059.483
|1036.765
|1050-1075
|-
|-
|11
|15\11
|7
|102.273
|C
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|''D''
|1045-1072.5
|1078.846
| colspan="2" |1055.3125-1110.3125
|1085.526
| colspan="2" |1072.5-1127.5
|1108.594
| colspan="2" |1081.983-1136.983
|1123.707
| colspan="2" |1110.431-1165.431
|1140.441
|1155-1182.5
|-
|-
|12
|26\19
|7#/8b
|102.632
|C#/Db
|
|''D#/Sb''
|1140-1170
|1176.923
| colspan="2" |1151.25-1211.25
|1184.2105
| colspan="2" |1170-1230
|1209.375
| colspan="2" |1180.345-1240.345
|1225.862
| colspan="2" |1211.379-1271.379
|1244.118
|1260-1290
|-
|-
|13
|11\8
|8
|103.125
|D
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|''S''
|1235-1267.5
|1275
| colspan="2" |1247.1875-1312.1875
|1282.895
| colspan="2" |1267.5-1332.5
|1310.156
| colspan="2" |1278.707-1343.707
|1328.017
| colspan="2" |1312.328-1377.328
|1347.794
|1365-1397.5
|-
|-
|14
|18\13
|8#/9b
|103.846
|D#/Eb
|
|''S#/Eb''
|1330-1365
|1373.077
| colspan="2" |1343.125-1413.125
|1381.579
| colspan="2" |1365-1435
|1410.9375
| colspan="2" |1377.069-1447.069
|1430.172
| colspan="2" |1413.276-1483.276
|1451.471
|1470-1505
|-
|-
|15
|25\18
|9
|104.167
| colspan="2" |E
|
|1425-1462.5
|1471.154
| colspan="2" |1439.0625-1514.0625
|1480.263
| colspan="2" |1462.5-1537.5
|1511.719
| colspan="2" |1475.431-1550.431
|1532.328
| colspan="2" |1514.224-1589.224
|1555.147
|1575-1612.5
|-
|-
|16
|7\5
|1
|105.000
| colspan="2" |F
|Mixolydian-Ionian mode ends
|1520-1560
|1569.231
| colspan="2" |1535-1615
|1578.947
| colspan="2" |1560-1640
|1612.5
| colspan="2" |1573.793-1653.793.
|1634.483
| colspan="2" |1615.172-1695.172
|1658.8235
|1680-1720
|}Relative cents
|}Relative cents
{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
Line 729: Line 120:
!Intense Aeolian-Subpental Dorian
!Intense Aeolian-Subpental Dorian
!Dorian
!Dorian
!Dorian-Mixolydian
|-
|-
|1
|1
Line 734: Line 126:
|G#/Jb
|G#/Jb
|''G#/Ab''
|''G#/Ab''
|90.625
|''90.625''
|''93.75''
|''93.75''
|''96.875''
|-
|-
|2
|2
|2
| 2
|J
|J
|''A''
|''A''
|181.25
|''181.25''
|''187.5''
|''187.5''
|''193.75''
|-
|-
|3
|3
Line 748: Line 142:
|J#/Ab
|J#/Ab
|''A#/Bb''
|''A#/Bb''
|271.875
|''271.875''
|''281.25''
|''281.25''
|''290.625''
|-
|-
|4
|4
Line 755: Line 150:
|J
|J
|''B''
|''B''
|362.5
|''362.5''
|''375''
|''375''
|''387.5''
|-
|-
|5
|5
Line 762: Line 158:
|J#/Ab
|J#/Ab
|B#/Cb
|B#/Cb
|453.125
|''453.125''
|''468.75''
|''468.75''
|''484.375''
|-
|-
|6
|6
Line 769: Line 166:
|A
|A
|''C''
|''C''
|543.75
|''543.75''
|''562.5''
|''562.5''
|''581.25''
|-
|-
|7
|7
Line 776: Line 174:
|A#/Bb
|A#/Bb
|''C#/Qb''
|''C#/Qb''
|633.375
|''633.375''
|''656.25''
|''656.25''
|''678.125''
|-
|-
|8
|8
Line 783: Line 182:
|B
|B
|''Q''
|''Q''
|725
|''725''
|''750''
|''750''
|''775''
|-
|-
|9
|9
Line 790: Line 190:
|C
|C
|''D''
|''D''
|815.625
|''815.625''
|''843.75''
|''843.75''
|''871.875''
|-
|-
|10
|10
|6#/7b
|6#/7b
|C#/Db
| C#/Db
|D#/Sb
|D#/Sb
|906.25
|''906.25''
|''937.5''
|''937.5''
|''968.75''
|-
|-
|11
|11
Line 804: Line 206:
|D
|D
|''S''
|''S''
|996.875
|''996.875''
|''1031.25''
|''1031.25''
|''1065.625''
|-
|-
|12
|12
|7#/8b
| 7#/8b
|D#/Eb
|D#/Eb
|''S#/Eb''
|''S#/Eb''
|1087.5
|''1087.5''
|''1125''
|''1125''
|''1162.5''
|-
|-
|13
|13
|8
|8
| colspan="2" |E
| colspan="2" | E
|1178.125
|''1178.125''
|''1218.75''
|''1218.75''
|''1259.375''
|-
|-
|14
|14
|8#/9b
|8#/9b
| colspan="2" |E#/Fb
| colspan="2" |E#/Fb
|1268.75
|''1268.75''
|''1312.5''
|''1312.5''
|''1356.25''
|-
|-
|15
|15
|9
|9
| colspan="2" |F
| colspan="2" |F
|1359.375
|''1359.375''
|''1406.25''
|''1406.25''
|''1453.125''
|-
|-
|16
|16
|1
|1
| colspan="2" |G
| colspan="2" |G
|1450
|''1450''
|''1500''
|''1500''
|''1550''
|}
|}
{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
Line 870: Line 278:
|''412.5''
|''412.5''
|-
|-
| |5
| | 5
|3#/4b
|3#/4b
|J#/Ab
|J#/Ab
Line 884: Line 292:
|''618.75''
|''618.75''
|-
|-
| |7
| | 7
|5
|5
|B
|B
Line 935: Line 343:
|14
|14
|8#/9b
|8#/9b
|D#/Eb
| D#/Eb
|''S#/Eb''
|''S#/Eb''
|''1400''
|''1400''
|''1443.75''
|''1443.75''
|-
|-
|15
| 15
|9
|9
| colspan="2" |E
| colspan="2" |E
Line 951: Line 359:
|''1600''
|''1600''
|''1650''
|''1650''
|}Golden/Pyrite Tunings±13¢
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! colspan="3" rowspan="2" |Enneatonic
! rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="3" |Dorian
|-
!Subpental
!Pental
!Superpental
|-
|1
|1#/2b
|G#/Jb
|''G#/Ab''
|90.428-92.053
|91.303-92.928
|94.329-95.943
|94.917-96.542
|-
|2
|2
|J
|''A''
|180.856-184.106
|182.606-185.856
|188.2585-191.9085
|189.834-193.084
|-
|3
|2#/3b
|J#/Ab
|''A#/Bb''
|271.2845-276.159
|273.909-278.784
|282.988-287.863
|284.751-289.626
|-
|4
|3
|J
|''B''
|361.712-368.213
|365.212-371.712
|377.317-383.817
|379.668-386.168
|-
|5
|3#/4b
|J#/Ab
|B#/Cb
|452.141-460.266
|456.5155-464.6405
|471.646-479.771
|474.585-482.71
|-
|6
|4
|A
|''C''
|542.569-552.319
|547.819-557.569
|565.974-575.726
|569.502-579.252
|-
|7
|5
|A#/Bb
|''C#/Qb''
|632.997-644.372
|639.122-650.497
|660.305-671.68
|664.419-675.794
|-
|8
|5#/6b
|B
|''Q''
|723.425-736.425
|730.425-743.425
|754.634-767.634
|759.336-771.336
|-
|9
|6
|C
|''D''
|813.854-828.479
|821.728-836.353
|848.963-863.588
|854.253-868.878
|-
|10
|6#/7b
|C#/Db
|D#/Sb
|904.282-920.532
|913.031-920.281
|943.293-959.543
|949.17-965.42
|-
|11
|7
|D
|''S''
|994.71-1012.585
|1004.334-1022.209
|1037.622-1055.497
|1044.087-1061.962
|-
|12
|7#/8b
|D#/Eb
|''S#/Eb''
|1085.138-1104.638
|1095.637-1115.137
|1131.951-1151.451
|1139.004-1158.503
|-
|13
|8
| colspan="2" |E
|1175.566-1106.691
|1186.94-1208.065
|1226.38-1247.405
|1233.921-1255.046
|-
|14
|8#/9b
| colspan="2" |E#/Fb
|1265.9945-1288.7445
|1278.2435-1300.9935
|1320.61-1343.36
|1328.838-1351.588
|-
|15
|9
| colspan="2" |F
|1356.423-1380.798
|1369.547-1393.922
|1414.939-1439.314
|1423.755-1448.13
|-
|16
|1
| colspan="2" |G
|1446.851-1472.851
|1460.85-1486.85
|1509.268-1535.268
|1518.672-1544.672
|}
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="5" |Enneatonic
!Mohajira
!Beatles
|-
|1
|1#/2b
| colspan="2" |F#/Gb
|G#/Jb
|''G#/Ab''
|96.1185-97.7435
|96.364-97.989
|-
|2
|2
| colspan="2" |G
|J
|''A''
|192.237-195.487
|192.728-195.978
|-
|3
|2#/3b
|G#/Jb
|''G#/Ab''
|J#/Ab
|''A#/Bb''
|288.355-293.23
|289.092-293.965
|-
|4
|3
|J
|''A''
|J
|''B''
|384.474-390.974
|385.456-391.956
|-
|5
|3#/4b
|J#/Ab
|''A#/Bb''
|J#/Ab
|B#/Cb
|480.592-488.717
|481.82-489.945
|-
|6
|4
|A
|''B''
|A
|''C''
|576.711-585.961
|578.184-587.934
|-
|7
|5
|B
|''H''
|A#/Bb
|''C#/Qb''
|672.829-684.454
|674.548-685.923
|-
|8
|5#/6b
|B#/Hb
|''H#/Cb''
|B
|''Q''
|768.948-781.948
|770.912-783.912
|-
|9
|6
|H
|''C''
|C
|''D''
|865.066-879.691
|867.276-881.901
|-
|10
|6#/7b
|H#/Cb
|''C#/Db''
|C#/Db
|D#/Sb
|961.185-977.435
|963.6395-979.8895
|-
|11
|7
|C
|''D''
|D
|''S''
|1057.303-1075.178
|1060.0035-1077.8785
|-
|12
|7#/8b
|C#/Db
|''D#/Sb''
|D#/Eb
|''S#/Eb''
|1153.422-1172.921
|1156.367-1175.867
|-
|13
|8
|D
|''S''
| colspan="2" |E
|1249.54-1270.665
|1252.731-1273.856
|-
|14
|8#/9b
|D#/Eb
|''S#/Eb''
| colspan="2" |E#/Fb
|1345.659-1368.409
|1349.095-1372.345
|-
|15
|9
| colspan="2" |E
| colspan="2" |F
|1441.777-1366.152
|1445.459-1469.834
|-
|16
|1
| colspan="2" |F
| colspan="2" |G
|1537.8955-1563.8955
|1541.823-1577.823
|}
{| class="wikitable" style="text-align: center"
|-
! rowspan="3" |Degrees
! colspan="3" rowspan="3" |Enneatonic
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
! rowspan="2" |Subpental
! rowspan="2" |Pental
! colspan="2" |Superpental
|-
!Soft
!Intense
|-
|1
|1#/2b
| colspan="2" |F#/Gb
|97.364-98.989
|97.787-99.412
|99.998-101.623
|101.648-103.273
|102.785-104.41
|-
| |2
|2
| colspan="2" |G
|194.7275-197.9775
|195.5745-198.8245
|199.9955-203.2455
|203.296-206.546
|205.57-208.82
|-
|3
|2#/3b
|G#/Jb
|''G#/Ab''
|292.091-296.966
|293.362-298.237
|299.993-304.868
|304.944-309.819
|308.356-313.231
|-
| |4
|3
|J
|''A''
|389.455-395.955
|391.149-397.649
|399.991-406.491
|406.592-413.092
|411.141-417.641
|-
|5
|3#/4b
|J#/Ab
|''A#/Bb''
|486.819-494.944
|488.936-497.061
|499.989-508.114
|508.24-516.365
|513.926-522.051
|-
| |6
|4
|A
|''B''
|584.183-593.933
|586.724-596.474
|599.987-609.737
|609.888-619.638
|616.711-626.461
|-
|7
|5
|B
|''H''
|681.546-692.921
|684.571-695.886
|699.984-711.359
|711.5355-722.9105
|719.496-730.871
|-
|8
|5#/6b
|B#/Hb
|''H#/Cb''
|778.91-791.91
|782.298-795.298.
|799.982-812.982
|813.1835-826.1835
|822.282-835.282
|-
|9
|6
|H
|''C''
|876.274-890.899
|880.085-894.71
|899.98-914.605
|914.831-929.456
|925.067-939.692
|-
|10
|6#/7b
|H#/Cb
|''C#/Db''
|973.638-989.888
|977.873-994.123
|999.978-1016.238
|1016.479-1032.729
|1027.852-1044.102
|-
|11
|7
|C
|''D''
|1071.0015-1088.8765
|1075.66-1093.535
|1099.975-1117.85
|1118.127-1136.002
|1130.637-1148.512
|-
|12
|7#/8b
|C#/Db
|''D#/Sb''
|1168.365-1187.865
|1173.447-1192.947
|1199.973-1219.473
|1219.775-1239.275
|1233.422-1252.922
|-
|13
|8
|D
|''S''
|1265.729-1286.854
|1271.234-1292.359
|1299.971-1321.096
|1321.423-1342.548
|1336.208-1357.333
|-
|14
|8#/9b
|D#/Eb
|''S#/Eb''
|1363.093-1385.843
|1369.022-1391.772
|1399.968-1422.719
|1423.071-1445.821
|1438.993-1461.743
|-
|15
|9
| colspan="2" |E
|1460.457-1484.832
|1455.809-1491.184
|1499.9665-1524.3415
|1524.719-1549.094
|1541.778-1566.153
|-
|16
|1
| colspan="2" |F
|1557.82-1583.82
|1564.596-1590.596
|1599.964-1625.964
|1626.366-1652.366
|1644.563-1670.563
|}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 3.686 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 3.686 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]]
==See also==
[[Category:ed7/3]]
*[[16ed5/2]] - equal division of the classic major tenth
[[Category:edX]]
*[[16ed7/3]] - equal division of the septimal minor tenth
[[Category:todo:add_definition]]
 
[[Category:todo:unify_precision]]
[[Category:16-tone scales]]
[[Category:EdX]]