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


== Intervals ==
{| class="wikitable"
{| class="wikitable"
! Decade
!Period
!Notes
|-
|-
! | Degrees
| 6\5
! | Enneatonic
|''84.706''
! | Minimum
|Intense Aeolian-Subpental Dorian mode begins
! | ed(7/3)
! | Mean/Median
! | Golden
! | Maximum
|-
|-
| | 1
|29\24
| | Bb
|''85.294''
| | 84.706
|
| | 86.2865
| | 91.765
| | 93.431
| | 98.8235
|-
|-
| | 2
|23\19
| | A#
|85.449
| | 169.412
|
| | 172.573
| | 183.528
| | 186.862
| | 197.647
|-
|-
| | 3
|17\14
| | B
|85.714
| | 254.118
|
| | 258.859
| | 275.294
| | 280.293
| | 296.471
|-
|-
| | 4
|11\9
| | C
|86.275
| | 338.823'5
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
| | 345.147
| | 367.059
| | 373.724
| | 395.294
|-
|-
| | 5
|16\13
| | Db
|86.878
| | 423.529
|
| | 431.433
| | 458.823'5
| | 467.155
| | 494.118
|-
|-
| | 6
|21\17
| | C#
|87.197
| | 508.235
|
| | 517.719
| | 550.588
| | 560.586
| | 592.941
|-
|-
| | 7
|5\4
| | D
|''88.235''
| | 592.941
|Subpental Dorian mode ends, Pental Dorian mode begins
| | 604.006
| | 642.353
| | 654.017'5
| | 691.765
|-
|-
| | 8
|24\19
| | E
|89.164
| | 677.647
|
| | 690.212
| | 734.118
| | 747.448'5
| | 790.588
|-
|-
| | 9
|19\15
| | Fb
|89.412
| | 762.653
|
| | 776.579
| | 825.882
| | 840.88
| | 889.412
|-
|-
| | 10
|14\11
| | E#
|89.840
| | 847.059
|Pental Dorian mode ends, Superpental Dorian mode begins
| | 862.865
| | 917.647
| | 934.31
| | 988.235
|-
|-
| | 11
|23\18
| | F
|90.196
| | 931.765
|
| | 949.152
| | 1009.412
| | 1027.742
| | 1087.059
|-
|-
| | 12
|9\7
| | G
|90.756
| | 1016.471
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
| | 1035.438
| | 1101.1765
| | 1121.173
| | 1185.882
|-
|-
| | 13
|31\24
| | Hb
|''91.176''
| | 1101.1765
|
| | 1121.725
| | 1192.941
| | 1214.604
| | 1284.706
|-
|-
| | 14
|22\17
| | G#
|91.349
| | 1185.882
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
| | 1208.011
| | 1284.706
| | 1308.035
| | 1383.529
|-
|-
| | 15
|35\27
| | H
|91.503
| | 1270.588
|
| | 1294.298
| | 1376.471
| | 1401.466
| | 1482.352
|-
|-
| | 16
|13\10
| | J
|91.765
| | 1355.294
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
| | 1380.584
| | 1468.235
| | 1494.897
| | 1581.1765
|-
|-
| | 17
|17\13
| | A
|92.308
| | 1440
|
| | 1466.871
|-
| | 1560
|21\16
| | 1588.238
|92.647
| | 1680
| Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|-
|25\19
|92.879
|
|-
|29\22
|93.048
|
|-
|33\25
|93.176
|
|-
|4\3
|''94.118''
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|-
|19\14
|95.798
|
|-
|15\11
|96.257
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|-
|26\19
|96.594
|
|-
|11\8
|''97.059''
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|-
|18\13
|97.738
|
|-
|25\18
|98.032
|
|-
|7\5
|98.824
|Mixolydian-Ionian mode ends
|}Golden/Pyrite Tunings±13¢
 
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! colspan="4" rowspan="2" |Enneatonic
! rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="3" |Dorian
|-
!Subpental
!Pental
!Superpental
|-
| |1
|J
|''A''
|Jb
|''Ab''
|85.109-86.638
|85.932-87.462
|88.7805-90.6955
|89.334-90.863
|-
| |2
|A\\
|''B\\''
| colspan="2" |G#
|170.218-173.277
|171.865-174.9235
|177.561-180.62
|178.667-181.726
|-
| |3
|Jp
|''Ap''
|J
|''A''
|255.327-259.915
|257.797-262.385
|266.341-270.93
|268.001-272.589
|-
| |4
|J
|''B''
|A
|''B''
|340.4355-346.553
|343.729-349.847
|355.122-361.2395
|357.335-363.452
|-
| |5
|B
|''C''
|Bb
|''Cb''
|425.544-433.1915
|429.662-437.309
|442.902-451.5495
|446.668-454.315
|-
| |6
|C\\
|''Q\\''
|A#
|''B#''
|510.653-519.83
|515.594-524.7705
|532.683-541.859
|536.002-545.178
|-
| |7
|Bp
|''Cp''
|B
|''C''
|595.762-606.468
|601.526-612.232
|621.463-632.169
|625.3355-636.041
|-
|8
|C
|''Q''
|C
|''Q''
|680.871-693.106
|687.459-699.694
|710.244-722.479
|714.996-726.904
|-
|9
|Q
|''D''
|Qb
|Db
|765.98-779.745
|773.391-787.156
|799.024-812.789
|804.003-817.768
|-
|10
|D\\
|''Q\\''
|C#
|Q#
|851.089-866.383
|859.323-874.6175
|887.805-903.099
|893.336-999.4935
|-
|11
|Qp
|''Dp''
|Q
|''D''
|936.198-953.021
|945.256-962.079
|976.585-993.409
|982.67-1090.357
|-
|12
| colspan="2" |D
|D
|''S''
|1021.3065-1039.66
|1031.188-1049.541
|1065.366-1083.719
|1072.004-1181.22
|-
|13
|E
|''S''
| colspan="2" |Eb
|1106.415-1186.94
|1117.12-1137.003
|1154.146-1174.029.
|1161.337-1272.083
|-
|14
| colspan="2" |F
|D#
|''S#''
|1191.524-1212.936
|1203.052-1224.464
|1242.927-1264.3385
|1250.671-1362.946
|-
|15
| colspan="2" |G\\
| colspan="2" |E
|1276.633-1299.5745
|1288.985-1311.926
|1331.707-1354.648
|1340.005-1453.809
|-
|16
| colspan="2" |Fp
| colspan="2" |F
|1361.741-1386.213
|1374.917-1399.388
|1420.488-1424.958
|1426.338-1453.809
|-
|17
| colspan="4" |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="8" |Enneatonic
!Mohajira
!Beatles
|-
| |1
| colspan="2" |G
| colspan="2" |Gb
|J
|''A''
|Jb
|''Ab''
|90.464-91.994
|90.6955-92.225
|-
| |2
|J\\
|''A\\''
| colspan="2" |F#
|A\\
|''B\\''
| colspan="2" |G#
|180.929-183.988
|181.391-184.45
|-
| |3
| colspan="2" |Gp
| colspan="2" |G
|Jp
|''Ap''
|J
|''A''
|271.393-275.9815
|272.086-276.675
|-
| |4
|J
|A
|J
|''A''
|J
|''B''
|A
|''B''
|361.858-367.975
|362.782-368.91
|-
| |5
|A
|''B''
|Ab
|''Bb''
|B
|''C''
|Bb
|''Cb''
|452.322-459.969
|453.477-461.124
|-
| |6
|B\\
|''H\\''
|J#
|''A#''
|C\\
|''Q\\''
|A#
|''B#''
|542.787-551.963
|544.173-553.349
|-
| |7
|Ap
|''Bp''
|A
|''B''
|Bp
|''Cp''
|B
|''C''
|633.251-643.957
|634.868-645.574
|-
|8
|B
|''H''
|B
|''H''
|C
|''Q''
|C
|''Q''
|723.7155-735.951
|725.564-737.799
|-
|9
|H
|''C''
|Hb
|''Cb''
|Q
|''D''
|Qb
|Db
|814.18-827.945
|816.259-830.024
|-
|10
|C\\
|''D\\''
|B#
|''H#''
|D\\
|''Q\\''
|C#
|Q#
|904.644-919.9385
|906.955-922.289
|-
|11
|Hp
|''Cp''
|H
|''C''
|Qp
|''Dp''
|Q
|''D''
|995.109-1011.932
|997.65-1014.474
|-
|12
|C
|''D''
|C
|''D''
| colspan="2" |D
|D
|''S''
|1085.573-1103.926
|1088.346-1106.699
|-
|13
|D
|''S''
|Db
|''Sb''
|E
|''S''
| colspan="2" |Eb
|1176.038-1195.92
|1179.041-1198.9235
|-
|14
| colspan="2" |E
|C#
|''D#''
| colspan="2" |F
|D#
|''S#''
|1266.502-1287.914
|1269.737-1291.1485
|-
|15
| colspan="2" |F\\
|D
|''S''
| colspan="2" |G\\
| colspan="2" |E
|1356.967-1379.908
|1360.432-1383.373
|-
|16
| colspan="2" |Ep
| colspan="2" |E
| colspan="2" |Fp
| colspan="2" |F
|1447.431-1471.902
|1451.128-1475.598
|-
|17
| colspan="4" |F
| colspan="4" |G
|1537.8955-1563.8955
|1541.823-1577.823
|}
|}
{| class="wikitable" style="text-align: center"
! rowspan="3" |Degrees
! colspan="4" rowspan="3" |Enneatonic
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
! rowspan="2" |Subpental
! rowspan="2" |Pental
! colspan="2" |Superpental
|-
!Soft
!Intense
|-
| |1
| colspan="2" |G
| colspan="2" |Gb
|92.019-93.548
|92.035-93.5645
|94.1155-95.645
|95.669-97.198
|96.739-98.268
|-
| |2
|J\\
|''A\\''
| colspan="2" |F#
|184.038-187.139
|184.07-187.129
|188.231-191.29
|191.337-194.396
|193.478-196.537
|-
| |3
| colspan="2" |Gp
| colspan="2" |G
|276.0565-280.645
|276.105-280.693
|282.347-286.935
|287.006-291.594
|290.217-294.805
|-
| |4
|J
|A
|J
|''A''
|368.075-374.193
|368.14-374.258
|376.462-382.58
|382.675-388.792
|386.956-393.074
|-
| |5
|A
|''B''
|Ab
|''Bb''
|460.094-467.741
|460.175-467.822
|470.578-478.225
|478.343-485.99
|483.695-491.342
|-
| |6
|B\\
|''H\\''
|J#
|''A#''
|552.113-561.29
|552.21-561.387
|564.693-573.87
|574.012-583.188
|580.434-589.6105
|-
| |7
|Ap
|''Bp''
|A
|''B''
|644.132-654.838
|644.2455-654.951
|658.809-669.515
|669.6805-680.386
|677.173-687.879
|-
|8
|B
|''H''
|B
|''H''
|736.151-748.386
|736.281-748.516
|752.924-765.16
|765.349-777.584
|773.912-783.147
|-
|9
|H
|''C''
|Hb
|''Cb''
|828.17-841.934
|828.316-842.08
|847.04-860.805
|861.018-874.7852
|870.416-884.416
|-
|10
|C\\
|''D\\''
|B#
|''H#''
|920.1885-935.483
|920.351-935.645
|941.155-956.45
|956.6865-971.9805
|967.39-982.684
|-
|11
|Hp
|''Cp''
|H
|''C''
|1012.207-1029.031
|1012.386-1029.209
|1035.271-1052.0945
|1052.355-1069.179
|1064.129-1080.953
|-
|12
|C
|''D''
|C
|''D''
|1104.226-1122.579
|1104.421-1122.774
|1129.3865-1147.7395
|1148.024-1166.377
|1160.868-1179.221
|-
|13
|D
|''S''
|Db
|''Sb''
|1196.245-1216.127
|1196.456-1216.338
|1223.502-1243.384
|1243.692-1263.575
|1257.607-1277.4895
|-
|14
| colspan="2" |E
|C#
|''D#''
|1288.234-1309.676
|1288.491-1309.903
|1317.618-1339.026
|1339.361-1360.773
|1354.346-1375.758
|-
|15
| colspan="2" |F\\
|D
|''S''
|1380.283-1403.224
|1380.526-1403.467
|1411.733-1434.674
|1435.03-1457.97
|1451.085-1474.026
|-
|16
| colspan="2" |Ep
| colspan="2" |E
|1472.3015-1496.772
|1472.561-1497.032
|1505.849-1530.319
|1530.698-1555.168
|1547.824-1572.295
|-
|17
| colspan="4" |F
|1557.82-1583.82
|1564.596-1590.596
|1599.964-1625.964
|1626.366-1652.366
|1644.563-1670.563
|}
== 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"