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==Intervals==
'''19edX''' means division of a tenth interval into 19 equal parts.


== Intervals ==
{| class="wikitable"
{| class="wikitable"
!Decade
!Period
! Notes
|-
|-
! | Degrees
| 6\5
! | Enneatonic
|75.790
! | Minimum
|Intense Aeolian-Subpental Dorian mode begins
! | ed(7/3)
! | Mean/Median
! | Golden
! | Maximum
|-
|-
| | 1
|29\24
| | Gb
|''76.316''
| | 75.7895
|
| | 77.204
| | 82.105
| | 83.596
| | 88.421
|-
|-
| | 2
|23\19
| | F#
|76.454
| | 151.579
|
| | 154.407'5
| | 164.210'5
| | 167.197
| | 176.842
|-
|-
| | 3
|17\14
| | G
|76.692
| | 227.368
|
| | 231.611
| | 246.316
| | 250.789
| | 265.263
|-
|-
| | 4
|11\9
| | H
|77.193
| | 303.158
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
| | 308.815
| | 328.421
| | 334.385
| | 353.684
|-
|-
| | 5
|16\13
| | Jb
|77.733
| | 378.947
|
| | 386.019
| | 410.526
| | 417.981
| | 442.105
|-
|-
| | 6
|21\17
| | H#
|78.019
| | 454.737
|
| | 463.222
| | 492.632
| | 501.577
| | 530.526
|-
|-
| | 7
|5\4
| | J
|''78.947''
| | 530.526
|Subpental Dorian mode ends, Pental Dorian mode begins
| | 540.426
| | 574.737
| | 585.173'5
| | 618.947
|-
|-
| | 8
|24\19
| | A
|79.778
| | 606.316
|
| | 617.63
| | 656.842
| | 668.768
| | 707.368
|-
|-
| | 9
|19\15
| | Bb
|80.000
| | 682.105
|
| | 694.834
| | 738.947
| | 752.366
| | 795.789'5
|-
|-
| | 10
|14\11
| | A#
|80.383
| | 757.895
|Pental Dorian mode ends, Superpental Dorian mode begins
| | 772.037
| | 821.053
| | 835.962
| | 884.210'5
|-
|-
| | 11
|23\18
| | B
|80.702
| | 833.654
|
| | 849.241
| | 903.158
| | 919.558
| | 972.632
|-
|-
| | 12
|9\7
| | C
|81.203
| | 909.474
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
| | 926.445
| | 985.263
| | 1003.155
| | 1061.053
|-
|-
| | 13
|31\24
| | Db
|''81.579''
| | 985.263
|
| | 1003.6485
| | 1067.368
| | 1086.751
| | 1149.474
|-
|-
| | 14
|22\17
| | C#
|81.734
| | 1061.053
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
| | 1008.852
| | 1149.474
| | 1170.347
| | 1237.895
|-
|-
| | 15
|35\27
| | D
|87.872
| | 1136.842
|
| | 1158.056
| | 1231.579
| | 1253.943
| | 1326.316
|-
|-
| | 16
|13\10
| | Eb
|82.105
| | 1212.632
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
| | 1235.26
| | 1313.684
| | 1337.539'5
| | 1414.737
|-
|-
| | 17
|17\13
| | D#
|82.591
| | 1288.421
|
| | 1312.463
| | 1395.7895
| | 1421.136
| | 1503.158
|-
|-
| | 18
|21\16
| | E
|82.896
| | 1364.2105
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
| | 1289.667
| | 1477.895
| | 1504.732
| | 1591.579
|-
|-
| | 19
|25\19
| | F
|83.102
| | 1440
|
| | 1466.871
|-
| | 1560
|29\22
| | 1588.238
|83.253
| | 1680
|
|-
|33\25
|83.368
|
|-
|4\3
|''84.211''
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|-
|19\14
|85.714
|
|-
|15\11
|86.124
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|-
|26\19
|86.427
|
|-
|11\8
|''86.842''
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|-
|18\13
|87.449
|
|-
|25\18
|87.719
|
|-
|7\5
|88.421
|Mixolydian-Ionian mode ends
|}Golden/Pyrite Tunings±13¢
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! colspan="2" rowspan="2" |Enneatonic
! rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="3" |Dorian
|-
!Subpental
!Pental
!Superpental
|-
| |1
|Jb
|Ab
|76.15-77.5185
|76.887-78.255
|79.435-80.804
|79.93-81.2985
|-
| |2
| colspan="2" |G#
|152.3-155.037
|153.774-156.5105
|158.87-161.607
|159.86-162.597
|-
| |3
|J
|''A''
|228.45-232.555
|230.6605-234.766
|238.3055-242.411
|239.79-243.896
|-
| |4
|A
|''B''
|304.6-310.074
|307.547-313.021
|317.741-323.214
|319.72-325.164
|-
| |5
|Bb
|''Cb''
|380.75-387.592
|384.434-391.276
|397.176-404.018
|399.6505-406.493
|-
| |6
|A#
|''B#''
|456.9-465.111
|461.321-469.5315
|476.611-484.8215
|479.581-487.791
|-
| |7
|B
|''C''
|533.05-542.926
|538.208-547.787
|556.046-565.625
|559.511-569.09
|-
|8
|C
|''Q''
|609.2-620.148
|615.095-626.042
|635.481-648.429
|639.441-650.388
|-
|9
|Qb
|''Db''
|685.35-697.666
|691.981-704.297
|714.9165-727.232
|719.371-731.687
|-
|10
|C#
|''Q#''
|761.5-775.185
|768.868-782.5525
|794.352-808.036
|799.301-812.985
|-
|11
|Q
|''D''
|837.6505-852.703
|845.755-860.808
|873.787-888.8395
|879.231-894.284
|-
|12
|D
|''S''
|913.8005-930.222
|922.642-939.063
|953.222-969.643
|959.161-975.582.
|-
|13
| colspan="2" |Eb
|989.951-1007.74
|999.529-1017.318
|1032.657-1050.447
|1039.091-1056.881
|-
|14
|D#
|''S#''
|1066.101-1085.2585
|1076.416-1095.5735
|1112.092-1131.25
|1119.021-1138.179
|-
|15
| colspan="2" |E
|1142.251-1162.777
|1153.302-1173.829
|1191.5275-1212.054
|1198.9515-1219.478
|-
|16
| colspan="2" |Fb
|1218.401-1240.295
|1230.159-1525.054
|1270.963-1292.857
|1279.882-1300.776
|-
|17
| colspan="2" |E#
|1294.551-1317.814
|1307.0769-1330.339
|1350.298-1373.661
|1358.612-1382.075
|-
|18
| colspan="2" |F
|1370.701-1395.332
|1383.963-1408.594
|1429.833-1454.465
|1438.742-1463.373
|-
|19
| 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="4" |Enneatonic
!Mohajira
!Beatles
|-
| |1
| colspan="2" |Gb
|Jb
|Ab
|80.942-82.31
|81.149-82.517
|-
| |2
| colspan="2" |F#
| colspan="2" |G#
|161.884-164.621
|162.297-165.034
|-
| |3
| colspan="2" |G
|J
|''A''
|242.826-246.931
|246.446-247.551
|-
| |4
|J
|''A''
|A
|''B''
|323.7675-329.241
|324.594-330.068
|-
| |5
|Ab
|''Bb''
|Bb
|''Cb''
|404.709-411.5515
|405.716-412.585
|-
| |6
|J#
|''A#''
|A#
|''B#''
|485.651-493.862
|486.8915-495.102
|-
| |7
|A
|''B''
|B
|''C''
|566.593-576.172
|568.04-577.619
|-
|8
|B
|''H''
|C
|''Q''
|647.535-658.482
|649.189-660.136
|-
|9
|Hb
|''Cb''
|Qb
|''Db''
|728.477-740.792
|730.337-742.653
|-
|10
|B#
|''H#''
|C#
|''Q#''
|809.419-823.103
|811.486-825.17
|-
|11
|H
|''C''
|Q
|''D''
|890.361-905.413
|892.6345-907.687
|-
|12
|C
|''D''
|D
|''S''
|971.302-987.7235
|973.783-990.204
|-
|13
|Db
|''Sb''
| colspan="2" |Eb
|1052.244-1070.034
|1054.932-1072.721
|-
|14
|C#
|''D#''
|D#
|''S#''
|1133.186-1152.344
|1136.08-1155.238
|-
|15
|D
|''S''
| colspan="2" |E
|1214.128-1234.654
|1217.229-1237.755
|-
|16
| colspan="2" |Eb
| colspan="2" |Fb
|1295.07-1316.965
|1298.377-1320.272
|-
|17
|D#
|''S#''
| colspan="2" |E#
|1376.012-1399.275
|1379.526-1402.789
|-
|18
| colspan="2" |E
| colspan="2" |F
|1456.954-1481.585
|1460.675-1485.306
|-
|19
| colspan="2" |F
| colspan="2" |G
|1537.8955-1563.8955
|1541.823-1577.823
|}
|}
{| class="wikitable" style="text-align: center"
! rowspan="3" |Degrees
! colspan="2" rowspan="3" |Enneatonic
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
! rowspan="2" |Subpental
! rowspan="2" |Pental
! colspan="2" |Superpental
|-
!Soft
!Intense
|-
| |1
| colspan="2" |Gb
|81.9905-83.359
|82.347-83.716
|84.209-85.557
|85.598-86.967
|86.556-87.924
|-
| |2
| colspan="2" |F#
|163.981-166.718
|164.694-167.431
|168.417-171.154
|171.1965-173.933
|173.112-175.849
|-
| |3
| colspan="2" |G
|245.971-250.077
|247.0415-251.147
|252.626-256.731
|256.795-260.9
|259.668-263.773
|-
| |4
|J
|''A''
|327.962-333.436
|329.389-334.862
|336.835-342.308
|342.393-347.867
|346.224-351.6975
|-
| |5
|Ab
|''Bb''
|409.953-416.795
|411.736-418.578
|421.043-427.885
|427.991-434.833
|432.78-439.622
|-
| |6
|J#
|''A#''
|491.943-500.154
|494.083-502.2935
|505.252-513.462
|513.59-521.8
|519.336-527.546
|-
| |7
|A
|''B''
|573.934-583.513
|576.43-586.001
|589.4605-599.0395
|599.188-608.767
|605.892-615.471
|-
|8
|B
|''H''
|655.924-666.872
|658.777-669.725
|673.669-684.6165
|684.786-694.733
|692.448-703.395
|-
|9
|Hb
|''Cb''
|737.915-750.231
|741.1245-752.44
|757.878-770.194
|770.384-782.7
|779.004-791.319
|-
|10
|B#
|''H#''
|819.9055-833.59
|834.451-837.156
|842.086-855.771
|855.983-879.244
|865.56-881.262
|-
|11
|H
|''C''
|901.896-916.949
|905.819-917.156
|926.295-941.348
|941.581-956.6335
|952.1155-967.168
|-
|12
|C
|''D''
|983.887-1000.308
|988.166-1000.8715
|1010.503-1026.925
|1027.179-1043.6
|1038.6715-1055.093
|-
|13
|Db
|''Sb''
|1065.877-1083.667
|1070.513-1084.587
|1094.712-1112.502
|1112.777-1130.567
|1125.2275-1143.017
|-
|14
|C#
|''D#''
|1147.868-1167.026
|1152.86-1168.303
|1178.921-1198.079
|1198.376-1217.5335
|1211.783-1230.941
|-
|15
|D
|''S''
|1229.858-1250.3845
|1235.2075-1252.018
|1263.13-1283.656
|1283.974-1304.5
|1298.339-1318.451
|-
|16
| colspan="2" |Eb
|1311.849-1333.743
|1317.555-1339.734
|1347.338-1369.233
|1369.572-1389.467
|1384.895-1406.79
|-
|17
|D#
|''S#''
|1393.839-1417.1025
|1399.912-1423.165
|1431.547-1454.81
|1455.17-1478.434
|1471.451-1494.7145
|-
|18
| colspan="2" |E
|1475.83-1500.461
|1399.902-1499.446
|1515.756-1540.387
|1540.769-1565.4
|1558.007-1582.639
|-
|19
| colspan="2" |F
|1557.82-1583.82
|1564.596-1590.596
|1599.964-1625.964
|1626.366-1652.366
|1644.563-1670.563
|}
== See also ==
* [[19ed5/2]] - equal division of the classic major tenth
* [[19ed7/3]] - equal division of the septimal minor tenth
[[Category:EdX]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/19edX"