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'''17edX''' means division of a tenth interval into 17 equal parts.


==Intervals==
== Intervals ==
{| class="wikitable" style="text-align: center"
{| class="wikitable"
! rowspan="3" |Degrees
! Decade
! colspan="4" rowspan="3" |Enneatonic
!Period
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
!Notes
! colspan="9" |Dorian
|-
| 6\5
|''84.706''
|Intense Aeolian-Subpental Dorian mode begins
|-
|-
! colspan="3" |Subpental
|29\24
! colspan="3" |Pental
|''85.294''
! colspan="3" |Superpental
|
|-
|-
!Min-comma
|23\19
!Med
|85.449
!Max+comma
|
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
|-
|-
|1
|17\14
|J
|''A''
|Jb
|''Ab''
|82.941-84.706
|85.714
|85.714
| colspan="2" |84.51-88.039
|
|86.878
| colspan="2" |86.471-90
|89.412
| colspan="2" |88.075-91.604
|90.196
|90.756-92.521
|-
|-
|2
|11\9
|A\\
|86.275
|''B\\''
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
| colspan="2" |G#
|165.882-169.412
|171.429
| colspan="2" |169.02-176.078
|173.756
| colspan="2" |172.941-180
|178.8235
| colspan="2" |176.15-183.209
|180.392
|181.513-185.042
|-
|-
|3
|16\13
|Jp
|86.878
|''Ap''
|
|J
|''A''
|278.8235-254.118
|257.143
| colspan="2" |253.529-264.118
|260.6335
| colspan="2" |259.412-270
|268.235
| colspan="2" |264.225-274.813
|270.588
|272.268-277.563
|-
|-
|4
|21\17
|J
|87.197
|''B''
|
|A
|''B''
|331.765-338.8235
|342.857
| colspan="2" |338.039-352.157
|347.511
| colspan="2" |345.882-360
|357.647
| colspan="2" |352.2995-366.417
|360.784
|363.025-370.084
|-
|-
|5
|5\4
|B
|''88.235''
|''C''
|Subpental Dorian mode ends, Pental Dorian mode begins
|Bb
|''Cb''
|414.706-423.529
|428.571
| colspan="2" |422.549-440.196
|434.389
| colspan="2" |432.353-450
|447.059
| colspan="2" |440.374-458.021
|450.98
|453.7815-462.605
|-
|-
|6
|24\19
|C\\
|89.164
|''Q\\''
|
|A#
|''B#''
|497.647-508.235
|51<span style="line-height: 1.5;">4.286</span>
| colspan="2" |507.058-528.235
|521.267
| colspan="2" |518.8235-540
|536.471
| colspan="2" |528.449-549.626
|541.1765
|544.538-555.126
|-
|-
|7
|19\15
|Bp
|89.412
|''Cp''
|
|B
|''C''
|580.588-592.941
|600
| colspan="2" |591.569-616.2745
|608.145
| colspan="2" |605.294-630
|625.882
| colspan="2" |616.524-641.23
|631.3725
|635.394-647.647
|-
|-
|8
|14\11
|C
|89.840
|''Q''
|Pental Dorian mode ends, Superpental Dorian mode begins
|C
|''Q''
|663.529-677.647
|685.714
| colspan="2" |676.078-704.314
|695.023
| colspan="2" |691.765-720
|715.294
| colspan="2" |704.599-732.834
|721.567
|726.05-740.168
|-
|-
|9
|23\18
|Q
|90.196
|''D''
|
|Qb
|Db
|646.471-762.653
|771.429
| colspan="2" |760.588-792.353
|781.9005
| colspan="2" |777.1765-810
|804.706
| colspan="2" |792.674-824.4385
|811.765
|816.806-832.689
|-
|-
|10
|9\7
|D\\
|90.756
|''Q\\''
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|C#
|Q#
|829.412-847.059
|857.143
| colspan="2" |845.098-880.392
|868.778
| colspan="2" |864.706-900
|894.118
| colspan="2" |880.749-916.043
|901.961
|907.563-925.21
|-
|-
|11
|31\24
|Qp
|''91.176''
|''Dp''
|
|Q
|''D''
|912.353-931.765
|942.857
| colspan="2" |929.608-968.431
|955.656
| colspan="2" |951.235-990
|983.529
| colspan="2" |968.8235-1007.647
|992.157
|998.319-1017.731
|-
|-
|12
|22\17
| colspan="2" |D
|91.349
|D
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|''S''
|995.294-1016.471
|1028.571
| colspan="2" |1014.118-1056.471
|1042.534
| colspan="2" |1037.647-1080
|1072.941
| colspan="2" |1056.898-1099.925
|1082.353
|1089.076-1110.252
|-
|-
|13
|35\27
|E
|''S''
| colspan="2" |Eb
|1078.235-1101.1765
|1114.286
| colspan="2" |1098.6275-1144.21
|1129.412
| colspan="2" |1124.118-1170
|1162.353
| colspan="2" |1144.973-1190.856
|1172.549
|1179.832-1202.773
|-
|14
| colspan="2" |F
|D#
|''S#''
|1161.1765-1185.882
|1200
| colspan="2" |1183.137-1232.549
|1216.29
| colspan="2" |1210.588-1260
|1251.765
| colspan="2" |1233.048-1282.46
|1262.745
|1270.588-1295.294
|-
|15
| colspan="2" |G\\
| colspan="2" |E
|1243.118-1270.588
|1285.714
| colspan="2" |1267.647-1320.588
|1303.167
| colspan="2" |1297.059-1350
|1341.1765
| colspan="2" |1321.123-1374.064
|1352.941
|1361.3445-1387.815
|-
|16
| colspan="2" |Fp
| colspan="2" |F
|1326.059-1355.294
|1371.429
| colspan="2" |1352.157-1408.6275
|1390.045
| colspan="2" |1383.529-1440
|1430.588
| colspan="2" |1409.198-1465.668
|1443.137
|1452.101-1480.336
|-
|17
| colspan="4" |G
|1410-1440
|1457.143
| colspan="2" |1436.667-1496.667
|1476.923
| colspan="2" |1470-1530
|1520
| colspan="2" |1497.273-1557.273
|1533.333
|1542.857-1572.857
|}
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! colspan="8" rowspan="2" |Enneatonic
! colspan="4" |Mohajira
! colspan="3" |Beatles
|-
!Min-comma
!''r¢''
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
|-
|1
| colspan="2" |G
| colspan="2" |Gb
|J
|''A''
|Jb
|''Ab''
|88.992-90.756
| colspan="2" |''91.1765''
| colspan="2" |89.585-93.114
|91.503
|91.503
|91.765-93.529
|
|-
|2
|J\\
|''A\\''
| colspan="2" |F#
|A\\
|''B\\''
| colspan="2" |G#
|177.983-181.513
| colspan="2" |''182.353''
| colspan="2" |179.17-186.228
|183.0065
|183.528-187.059
|-
|-
|3
|13\10
| colspan="2" |Gp
|91.765
| colspan="2" |G
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|Jp
|''Ap''
|J
|''A''
|266.975-272.268
| colspan="2" |''273.529''
| colspan="2" |268.754-279.343
|274.51
|275.294-280.588
|-
|-
|4
|17\13
|J
|92.308
|A
|
|J
|''A''
|J
|''B''
|A
|''B''
|355.9696-363.025
| colspan="2" |''364.706''
| colspan="2" |358.339-372.457
|366.013
|367.059-374.118
|-
|5
|A
|''B''
|Ab
|''Bb''
|B
|''C''
|Bb
|''Cb''
|444.958-453.7815
| colspan="2" |''455.882''
| colspan="2" |449.924-465.571
|457.516
|458.8235-467.647
|-
|6
|B\\
|''H\\''
|J#
|''A#''
|C\\
|''Q\\''
|A#
|''B#''
|533.95-544.538
| colspan="2" |''547.059''
| colspan="2" |537.509-558.685
|549.02
|550.588-561.1765
|-
|7
|Ap
|''Bp''
|A
|''B''
|Bp
|''Cp''
|B
|''C''
|622.941-635.394
| colspan="2" |''638.235''
| colspan="2" |627.093-651.799
|640.522
|642.353-654.706
|-
|-
|8
|21\16
|B
|92.647
|''H''
| Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|B
|''H''
|C
|''Q''
|C
|''Q''
|711.933-726.05
| colspan="2" |''729.412''
| colspan="2" |716.678-744.9135
|732.026
|734.118-748.235
|-
|-
|9
|25\19
|H
|''C''
|Hb
|''Cb''
|Q
|''D''
|Qb
|Db
|800.924-816.806
| colspan="2" |''820.588''
| colspan="2" |806.263-838.028
|823.529
|825.882-841.765
|-
|10
|C\\
|''D\\''
|B#
|''H#''
|D\\
|''Q\\''
|C#
|Q#
|889.916-907.563
| colspan="2" |''911.765''
| colspan="2" |895.848-931.142
|915.033
|917.647-935.294
|-
|11
|Hp
|''Cp''
|H
|''C''
|Qp
|''Dp''
|Q
|''D''
|978.908-998.319
| colspan="2" |''1002.941''
| colspan="2" |985.4325-1024.256
|1006.536
|1009.412-1028.8235
|-
|12
|C
|''D''
|C
|''D''
| colspan="2" |D
|D
|''S''
|1067.899-1089.076
| colspan="2" |''1094.118''
| colspan="2" |1075.017-1117.737
|1098.039
|1101.1765-1122.353
|-
|13
|D
|''S''
|Db
|''Sb''
|E
|''S''
| colspan="2" |Eb
|1156.891-1179.832
| colspan="2" |''1185.294''
| colspan="2" |1164.602-1210.484
|1189.5425
|1192.941-1215.882
|-
|14
| colspan="2" |E
|C#
|''D#''
| colspan="2" |F
|D#
|''S#''
|1254.882-1270.588
| colspan="2" |''1276.471''
| colspan="2" |1254.187-1303.36
|1281.046
|1284.706-1309.412
|-
|15
| colspan="2" |F\\
|D
|''S''
| colspan="2" |G\\
| colspan="2" |E
|1334.874-1361.3445
| colspan="2" |''1367.647''
| colspan="2" |1343.772-1396.713
|1372.549
|1376.471-1402.941
|-
|16
| colspan="2" |Ep
| colspan="2" |E
| colspan="2" |Fp
| colspan="2" |F
|1423.8655-1452.101
| colspan="2" |''1458.8235''
| colspan="2" |1433.356-1489.827
|1464.052
|1468.235-1496.471
|-
|17
| colspan="4" |F
| colspan="4" |G
|1512.857-1542.857
| colspan="2" |''1550''
| colspan="2" |1522.941-1582.941
|1555.556
|1560-1590
|}
{| class="wikitable"
|-
! rowspan="4" |Degrees
! colspan="4" 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
|-
!Min-comma
!Med
!Max+comma
! |Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
! |Max+comma
|-
| |1
| colspan="2" |G
| colspan="2" |Gb
|90-91.765
|92.308
| colspan="2" |90.882-94.412
|92.879
|92.879
| colspan="2" |92.353-95.882
|
|94.853
| colspan="2" |93.164-96.693
|96.146
| colspan="2" |95.598-99.128
|97.578
| |98.8235-100.588
|-
| |2
|J\\
|''A\\''
| colspan="2" |F#
|180-183.528
|184.615
| colspan="2" |181.765-188.8235
|185.7585
| colspan="2" |184.706-191.765
|189.706
| colspan="2" |186.329-193.387
|192.292
| colspan="2" |191.197-198.256
|195.156
| |197.647-201.1765
|-
| |3
| colspan="2" |Gp
| colspan="2" |G
|270-275.294
|276.923
| colspan="2" |272.647-283.235
|278.638
| colspan="2" |277.059-287.647
|584.559
| colspan="2" |279.493-290.081
|288.438
| colspan="2" |286.795-297.383
|292.734
| |296.471-301.765
|-
| |4
|J
|A
|J
|''A''
|360-367.059
|369.231
| colspan="2" |363.529-377.647
|371.517
| colspan="2" |369.412-383.529
|379.412
| colspan="2" |372.657-386.775
|384.584
| colspan="2" |382.3935-396.511
|390.311
| |395.294-402.353
|-
| |5
|A
|''B''
|Ab
|''Bb''
|450-458.8235
|461.5385
| colspan="2" |454.412-472.059
|464.396
| colspan="2" |461.765-479.412
|474.265
| colspan="2" |465.8215-483.469
|480.73
| colspan="2" |477.992-495.639
|487.889
| |494.118-502.941
|-
| |6
|B\\
|''H\\''
|J#
|''A#''
|540-550.588
|553.846
| colspan="2" |545.294-566.471
|557.2755
| colspan="2" |554.118-575.294
|569.118
| colspan="2" |558.986-580.162
|576.876
| colspan="2" |573.59-594.757
|585.467
| |592.941-603.529
|-
| |7
|Ap
|''Bp''
|A
|''B''
|630-642.353
|646.154
| colspan="2" |636.1765-661.882
|650.155
| colspan="2" |646.471-681.1765
|663.971
| colspan="2" |652.15-676.856
|673.022
| colspan="2" |669.189-693.8945
|683.045
| |691.765-704.118
|-
|8
|B
|''H''
|B
|''H''
|720-734.118
|738.4615
| colspan="2" |727.059-755.294
|743.034
| colspan="2" |738.8235-767.059
|758.8235
| colspan="2" |745.314-773.55
|769.168
| colspan="2" |764.787-793.022
|780.623
|790.588-804.706
|-
|9
|H
|''C''
|Hb
|''Cb''
|810-825.882
|830.769
| colspan="2" |817.941-849.706
|835.913
| colspan="2" |831.1765-862.941
|853.6765
| colspan="2" |838.478-870.243
|865.314
| colspan="2" |860.385-892.15
|878.201
|889.412-905.294
|-
|10
|C\\
|''D\\''
|B#
|''H#''
|900-917.647
|923.077
| colspan="2" |908.8235-944.118
|928.793
| colspan="2" |923.529-958.8235
|948.529
| colspan="2" |931.643-996.937
|961.46
| colspan="2" |955.983-991.278
|975.7785
|988.235-1005.882
|-
|11
|Hp
|''Cp''
|H
|''C''
|990-1009.412
|1015.385
| colspan="2" |999.706-1038.529
|1021.672
| colspan="2" |1015.882-1054.706
|1043.382
| colspan="2" |1024.807-1063.631
|1057.6065
| colspan="2" |1051.582-1090.406
|1073.356
|1087.059-1106.471
|-
|12
|C
|''D''
|C
|''D''
|1080-1101.1765
|1107.692
| colspan="2" |1090.588-1132.941
|1114.551
| colspan="2" |1108.235-1150.588
|1138.235
| colspan="2" |1117.972-1160.3245
|1153.7525
| colspan="2" |1147.1805-1189.5335
|1170.934
|1185.882-1207.059
|-
|13
|D
|''S''
|Db
|''Sb''
|1170-1192.941
|1200
| colspan="2" |1181.471-1227.353
|1207.43
| colspan="2" |1200.588-1246.471
|1233.088
| colspan="2" |1211.136-1257.018
|1249.899
| colspan="2" |1242.779-1288.661
|1268.512
|1284.706-1307.647
|-
|14
| colspan="2" |E
|C#
|''D#''
|1260-1284.706
|1292.308
| colspan="2" |1272.353-1321.765
|1300.31
| colspan="2" |1292.941-1342.765
|1327.941
| colspan="2" |1304.3-1353.712
|1346.045
| colspan="2" |1338.377-1387.789
|1366.089
|1383.529-1408.235
|-
|15
| colspan="2" |F\\
|D
|''S''
|1350-1376.471
|1384.615
| colspan="2" |1363.235-1416.1765
|1393.189
| colspan="2" |1385.294-1438.235
|1422.794
| colspan="2" |1397.4645-1450.406
|1442.191
| colspan="2" |1433.976-1486.917
|1463.668
|1482.352-1508.8235
|-
|16
| colspan="2" |Ep
| colspan="2" |E
|1440-1468.235
|1476.923
| colspan="2" |1454.118-1510.588
|1486.068
| colspan="2" |1477.647-1534.118
|1517.647
| colspan="2" |1490.629-1547.099
|1538.337
| colspan="2" |1529.574-1586.045
|1561.246
|1581.1765-1609.412
|-
|17
| colspan="4" |F
|1530-1560
|1569.231
| colspan="2" |1545-1605
|1578.947
| colspan="2" |1570-1630
|1612.5
| colspan="2" |1583.793-1643.793.
|1634.483
| colspan="2" |1625.172-1685.172
|1658.8235
|1680-1710
|}
Relative cents
 
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="4" |Enneatonic
!Intense Aeolian-Subpental Dorian
!Dorian
|-
| |1
|J
|''A''
|Jb
|''Ab''
|85.294
|88.235
|-
| |2
|A\\
|''B\\''
| colspan="2" |G#
|170.588
|176.471
|-
| |3
|Jp
|''Ap''
|J
|''A''
|255.882
|264.706
|-
| |4
|J
|''B''
|A
|''B''
|341.1765
|352.941
|-
| |5
|B
|''C''
|Bb
|''Cb''
|426.471
|441.1765
|-
| |6
|C\\
|''Q\\''
|A#
|''B#''
|511.765
|529.412
|-
| |7
|Bp
|''Cp''
|B
|''C''
|597.059
|617.647
|-
|8
|C
|''Q''
|C
|''Q''
|682.353
|705.882
|-
|9
|Q
|''D''
|Qb
|Db
|767.647
|794.118
|-
|-
|10
|29\22
|D\\
|93.048
|''Q\\''
|
|C#
|Q#
|852.941
|882.353
|-
|-
|11
|33\25
|Qp
|93.176
|''Dp''
|
|Q
|''D''
|938.235
|970.588
|-
|-
|12
|4\3
| colspan="2" |D
|''94.118''
|D
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|''S''
|1023.529
|1058.8235
|-
|-
|13
|19\14
|E
|95.798
|''S''
|
| colspan="2" |Eb
|1108.8235
|1147.059
|-
|-
|14
|15\11
| colspan="2" |F
|96.257
|D#
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|''S#''
|1194.118
|1235.294
|-
|-
|15
|26\19
| colspan="2" |G\\
|96.594
| colspan="2" |E
|
|1279.412
|1323.529
|-
|-
|16
|11\8
| colspan="2" |Fp
|''97.059''
| colspan="2" |F
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|1364.706
|1411.765
|-
|-
|17
|18\13
| colspan="4" |G
|97.738
|1450
|
|1500
|}
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="4" |Enneatonic
!Subpental-Soft Superpental Mixolydian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
|-
| |1
| colspan="2" |G
| colspan="2" |Gb
|94.118
|97.059
|-
| |2
|J\\
|''A\\''
| colspan="2" |F#
|188.235
|194.118
|-
|-
| |3
|25\18
| colspan="2" |Gp
|98.032
| colspan="2" |G
|
|282.353
|291.1765
|-
|-
| |4
|7\5
|J
|98.824
|A
|Mixolydian-Ionian mode ends
|J
|}Golden/Pyrite Tunings±13¢
|''A''
|376.471
|388.235
|-
| |5
|A
|''B''
|Ab
|''Bb''
|470.588
|485.294
|-
| |6
|B\\
|''H\\''
|J#
|''A#''
|564.706
|582.353
|-
| |7
|Ap
|''Bp''
|A
|''B''
|658.8235
|679.412
|-
|8
|B
|''H''
|B
|''H''
|752.941
|776.471
|-
|9
|H
|''C''
|Hb
|''Cb''
|847.059
|873.529
|-
|10
|C\\
|''D\\''
|B#
|''H#''
|941.1765
|970.588
|-
|11
|Hp
|''Cp''
|H
|''C''
|1035.294
|1067.647
|-
|12
|C
|''D''
|C
|''D''
|1129.412
|1164.706
|-
|13
|D
|''S''
|Db
|''Sb''
|1223.529
|1261.765
|-
|14
| colspan="2" |E
|C#
|''D#''
|1317.647
|1358.8235
|-
|15
| colspan="2" |F\\
|D
|''S''
|1411.765
|1455.882
|-
|16
| colspan="2" |Ep
| colspan="2" |E
|1505.882
|1552.941
|-
|17
| colspan="4" |F
|1600
|1650
|}
Golden/Pyrite Tunings±13¢


{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
Line 1,630: Line 672:
|1644.563-1670.563
|1644.563-1670.563
|}
|}
[[Category:EdX]]
 
== See also ==
* [[17ed5/2]] - equal division of the classic major tenth
* [[17ed7/3]] - equal division of the septimal minor tenth
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/17edX"