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'''16edX''' 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"
{| class="wikitable" style="text-align: center"
|+
! rowspan="3" |Degrees
!Decade
! colspan="3" rowspan="3" |Enneatonic
! Period
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
!Notes
! colspan="9" |Dorian
|-
! colspan="3" |Subpental
! colspan="3" |Pental
! colspan="3" |Superpental
|-
|-
!Min-comma
| 6\5
!Med
|90.000
! colspan="2" |Max+comma~Min-comma
|Intense Aeolian-Subpental Dorian mode begins
!Med
! colspan="2" |Max+comma~Min-comma
!Med
! colspan="2" |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
! colspan="2" |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
! colspan="2" width="4%" |Max+comma~Min-comma
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
!Med
! colspan="2" width="4%" |Max+comma~Min-comma
!Med
! colspan="2" width="4%" |Max+comma~~Min-comma
!Med
! colspan="2" 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 722: Line 120:
!Intense Aeolian-Subpental Dorian
!Intense Aeolian-Subpental Dorian
!Dorian
!Dorian
!Dorian-Mixolydian
|-
|-
|1
|1
Line 727: 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 741: Line 142:
|J#/Ab
|J#/Ab
|''A#/Bb''
|''A#/Bb''
|271.875
|''271.875''
|''281.25''
|''281.25''
|''290.625''
|-
|-
|4
|4
Line 748: Line 150:
|J
|J
|''B''
|''B''
|362.5
|''362.5''
|''375''
|''375''
|''387.5''
|-
|-
|5
|5
Line 755: Line 158:
|J#/Ab
|J#/Ab
|B#/Cb
|B#/Cb
|453.125
|''453.125''
|''468.75''
|''468.75''
|''484.375''
|-
|-
|6
|6
Line 762: Line 166:
|A
|A
|''C''
|''C''
|543.75
|''543.75''
|''562.5''
|''562.5''
|''581.25''
|-
|-
|7
|7
Line 769: Line 174:
|A#/Bb
|A#/Bb
|''C#/Qb''
|''C#/Qb''
|633.375
|''633.375''
|''656.25''
|''656.25''
|''678.125''
|-
|-
|8
|8
Line 776: Line 182:
|B
|B
|''Q''
|''Q''
|725
|''725''
|''750''
|''750''
|''775''
|-
|-
|9
|9
Line 783: 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 797: 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 863: Line 278:
|''412.5''
|''412.5''
|-
|-
| |5
| | 5
|3#/4b
|3#/4b
|J#/Ab
|J#/Ab
Line 877: Line 292:
|''618.75''
|''618.75''
|-
|-
| |7
| | 7
|5
|5
|B
|B
Line 928: 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 944: Line 359:
|''1600''
|''1600''
|''1650''
|''1650''
|}Golden/Pyrite Tunings±13¢
|}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.
{| class="wikitable" style="text-align: center"
==See also==
! rowspan="2" |Degrees
*[[16ed5/2]] - equal division of the classic major tenth
! colspan="3" rowspan="2" |Enneatonic
*[[16ed7/3]] - equal division of the septimal minor tenth
! 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.
 
== See also ==
* [[16ed5/2]] - equal division of the classic major tenth
* [[16ed7/3]] - equal division of the septimal minor tenth


[[Category:16-tone scales]]
[[Category:16-tone scales]]
[[Category:EdX]]
[[Category:EdX]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/16edX"