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Explanation needed for what this is. See [[edX]] maybe?
'''19edX''' means division of a tenth interval into 19 equal parts.


==Intervals==
== Intervals ==
{| class="wikitable"
{| class="wikitable"
! rowspan="5" |Degrees
!Decade
! colspan="2" rowspan="5" |Enneatonic
!Period
! colspan="8" |Minor mode Middletown temperament
! Notes
! colspan="2" |Neutral mode Middletown temperament
! colspan="10" |Major mode Middletown temperament
|-
|-
! colspan="2" rowspan="3" |Aeolian-Dorian
| 6\5
! colspan="6" |Dorian
|75.790
! colspan="2" rowspan="3" |Dorian-Mixolydian
|Intense Aeolian-Subpental Dorian mode begins
! colspan="8" |Mixolydian
! colspan="2" rowspan="3" |Mixolydian-Ionian
|-
|-
! colspan="2" rowspan="2" |Subpental
|29\24
! colspan="2" rowspan="2" |Pental
|''76.316''
! colspan="2" rowspan="2" |Superpental
|
! colspan="2" rowspan="2" |Subpental
! colspan="2" rowspan="2" |Pental
! colspan="4" |Superpental
|-
|-
! colspan="2" |Soft
|23\19
! colspan="2" |Intense
|76.454
|
|-
|-
! |Minimum
|17\14
! |Maximum
|76.692
!Minimum
|
!Maximum
|-
!Minimum
|11\9
!Maximum
|77.193
!Minimum
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
!Maximum
|-
!Minimum
|16\13
! |Maximum
|77.733
!Minimum
|
!Maximum
|-
! |Minimum
|21\17
!Maximum
|78.019
!Minimum
|
!Maximum
|-
!Minimum
|5\4
!Maximum
|''78.947''
!Minimum
|Subpental Dorian mode ends, Pental Dorian mode begins
! |Maximum
|-
|24\19
|79.778
|
|-
|19\15
|80.000
|
|-
|14\11
|80.383
|Pental Dorian mode ends, Superpental Dorian mode begins
|-
|23\18
|80.702
|
|-
|9\7
|81.203
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|-
|31\24
|''81.579''
|
|-
|22\17
|81.734
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|-
|35\27
|87.872
|
|-
|13\10
|82.105
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|-
|17\13
|82.591
|
|-
|21\16
|82.896
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|-
|25\19
|83.102
|
|-
|29\22
|83.253
|
|-
|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
| |1
| colspan="2" |Gb
| colspan="2" |Gb
| |75.7895
|Jb
| colspan="2" |77.193
|Ab
| colspan="2" |78.947
|80.942-82.31
| colspan="2" |80.383
|81.149-82.517
| colspan="2" |81.203
| colspan="2" |82.105
| colspan="2" |82.895
| colspan="2" |84.2105
| colspan="2" |84.9365
| colspan="2" |87.114
| |88.421
|-
|-
| |2
| |2
| colspan="2" |F#
| colspan="2" |F#
| |151.579
| colspan="2" |G#
| colspan="2" |154.386
|161.884-164.621
| colspan="2" |157.895
|162.297-165.034
| colspan="2" |160.766
| colspan="2" |162.406
| colspan="2" |164.2105
| colspan="2" |165.7896
| colspan="2" |168.421
| colspan="2" |169.873
| colspan="2" |174.229
| |176.842
|-
|-
| |3
| |3
| colspan="2" |G
| colspan="2" |G
| |227.368
|J
| colspan="2" |231.579
|''A''
| colspan="2" |236.842
|242.826-246.931
| colspan="2" |241.148
|246.446-247.551
| colspan="2" |243.609
| colspan="2" |246.316
| colspan="2" |248.684
| colspan="2" |252.632
| colspan="2" |254.809
| colspan="2" |261.343
| |265.263
|-
|-
| |4
| |4
|J
|J
|''A''
|''A''
| |303.158
|A
| colspan="2" |308.772
|''B''
| colspan="2" |315.7895
|323.7675-329.241
| colspan="2" |321.531
|324.594-330.068
| colspan="2" |324.812
| colspan="2" |328.421
| colspan="2" |331.579
| colspan="2" |336.842
| colspan="2" |339.746
| colspan="2" |348.457
| |353.684
|-
|-
| |5
| |5
|Ab
|Ab
|''Bb''
|''Bb''
| |378.947
|Bb
| colspan="2" |385.965
|''Cb''
| colspan="2" |394.737
|404.709-411.5515
| colspan="2" |401.914
|405.716-412.585
| colspan="2" |406.015
| colspan="2" |410.526
| colspan="2" |414.474
| colspan="2" |421.053
| colspan="2" |424.682
| colspan="2" |435.527
| |442.105
|-
|-
| |6
| |6
|J#
|J#
|''A#''
|''A#''
| |454.737
|A#
| colspan="2" |463.158
|''B#''
| colspan="2" |473.684
|485.651-493.862
| colspan="2" |482.297
|486.8915-495.102
| colspan="2" |487.218
| colspan="2" |492.632
| colspan="2" |497.368
| colspan="2" |505.263
| colspan="2" |509.619
| colspan="2" |522.686
| |530.526
|-
|-
| |7
| |7
|A
|A
|''B''
|''B''
| |530.526
|B
| colspan="2" |540.351
|''C''
| colspan="2" |552.632
|566.593-576.172
| colspan="2" |592.679
|568.04-577.619
| colspan="2" |568.421
| colspan="2" |574.737
| colspan="2" |580.263
| colspan="2" |589.474
| colspan="2" |594.555
| colspan="2" |609.8
| |618.947
|-
|-
|8
|8
|B
|B
|''H''
|''H''
|606.316
|C
| colspan="2" |617.544
|''Q''
| colspan="2" |631.579
|647.535-658.482
| colspan="2" |643.062
|649.189-660.136
| colspan="2" |647.624
| colspan="2" |656.842
| colspan="2" |663.158
| colspan="2" |673.684
| colspan="2" |679.491
| colspan="2" |696.915
|707.368
|-
|-
|9
|9
|Hb
|Hb
|''Cb''
|''Cb''
|682.105
|Qb
| colspan="2" |694.737
|''Db''
| colspan="2" |710.526
|728.477-740.792
| colspan="2" |723.445
|730.337-742.653
| colspan="2" |730.827
| colspan="2" |738.947
| colspan="2" |746.053
| colspan="2" |757.895
| colspan="2" |764.418
| colspan="2" |784.029
|795.7895
|-
|-
|10
|10
|B#
|B#
|''H#''
|''H#''
|757.895
|C#
| colspan="2" |771.93
|''Q#''
| colspan="2" |789.474
|809.419-823.103
| colspan="2" |803.828
|811.486-825.17
| colspan="2" |812.03
| colspan="2" |821.053
| colspan="2" |828.947
| colspan="2" |842.105
| colspan="2" |849.365
| colspan="2" |871.143
|884.2105
|-
|-
|11
|11
|H
|H
|''C''
|''C''
|833.654
|Q
| colspan="2" |849.123
|''D''
| colspan="2" |868.421
|890.361-905.413
| colspan="2" |884.2105
|892.6345-907.687
| colspan="2" |893.233
| colspan="2" |903.158
| colspan="2" |911.843
| colspan="2" |926.316
| colspan="2" |934.302
| colspan="2" |958.258
|972.632
|-
|-
|12
|12
|C
|C
|''D''
|''D''
|909.474
|D
| colspan="2" |926.326
|''S''
| colspan="2" |947.378
|971.302-987.7235
| colspan="2" |964.593
|973.783-990.204
| colspan="2" |974.436
| colspan="2" |985.263
| colspan="2" |994.737
| colspan="2" |1010.526
| colspan="2" |1019.238
| colspan="2" |1045.372
|1061.053
|-
|-
|13
|13
|Db
|Db
|''Sb''
|''Sb''
|985.263
| colspan="2" |Eb
| colspan="2" |1003.509
|1052.244-1070.034
| colspan="2" |1026.316
|1054.932-1072.721
| colspan="2" |1044.976
| colspan="2" |1055.639
| colspan="2" |1067.368
| colspan="2" |1077.612
| colspan="2" |1094.737
| colspan="2" |1104.172
| colspan="2" |1132.486
|1149.474
|-
|-
|14
|14
|C#
|C#
|''D#''
|''D#''
|1061.053
|D#
| colspan="2" |1080.702
|''S#''
| colspan="2" |1105.263
|1133.186-1152.344
| colspan="2" |1125.359
|1136.08-1155.238
| colspan="2" |1136.842
| colspan="2" |1149.474
| colspan="2" |1160.526
| colspan="2" |1178.947
| colspan="2" |1189.111
| colspan="2" |1220.601
|1237.895
|-
|-
|15
|15
|D
|D
|''S''
|''S''
|1136.842
| colspan="2" |E
| colspan="2" |1107.895
|1214.128-1234.654
| colspan="2" |1184.2105
|1217.229-1237.755
| colspan="2" |1205.742
| colspan="2" |1218.045
| colspan="2" |1231.579
| colspan="2" |1243.421
| colspan="2" |1263.158
| colspan="2" |1274.047
| colspan="2" |1306.715
|1326.316
|-
|-
|16
|16
| colspan="2" |Eb
| colspan="2" |Eb
|1212.632
| colspan="2" |Fb
| colspan="2" |1235.088
|1295.07-1316.965
| colspan="2" |1363.156
|1298.377-1320.272
| colspan="2" |1286.124
| colspan="2" |1299.248
| colspan="2" |1313.684
| colspan="2" |1326.316
| colspan="2" |1347.378
| colspan="2" |1359.984
| colspan="2" |1393.829
|1414.737
|-
|-
|17
|17
|D#
|D#
|''S#''
|''S#''
|1288.421
| colspan="2" |E#
| colspan="2" |1312.181
|1376.012-1399.275
| colspan="2" |1042.105
|1379.526-1402.789
| colspan="2" |1366.507
| colspan="2" |1380.451
| colspan="2" |1395.7895
| colspan="2" |1408.2105
| colspan="2" |1431.579
| colspan="2" |1443.98
| colspan="2" |1480.944
|1503.158
|-
|-
|18
|18
| colspan="2" |E
| colspan="2" |E
|1364.2105
| colspan="2" |F
| colspan="2" |1389.474
|1456.954-1481.585
| colspan="2" |1421.053
|1460.675-1485.306
| colspan="2" |1446.89
| colspan="2" |1461.654
| colspan="2" |1477.895
| colspan="2" |1491.105
| colspan="2" |1515.7895
| colspan="2" |1526.8275
| colspan="2" |1568.058
|1591.579
|-
|-
|19
|19
| colspan="2" |F
| colspan="2" |F
|1440
| colspan="2" |G
| colspan="2" |1466.667
|1537.8955-1563.8955
| colspan="2" |1500
|1541.823-1577.823
| colspan="2" |1527.273
|}
| colspan="2" |1542.857
{| class="wikitable" style="text-align: center"
| colspan="2" |1560
! rowspan="3" |Degrees
| colspan="2" |1575
! colspan="2" rowspan="3" |Enneatonic
| colspan="2" |1600
| colspan="2" |1613.793
| colspan="2" |1655.172
|1680
|}Golden tunings
{| class="wikitable"
|+
! rowspan="4" |Degrees
! colspan="2" rowspan="4" |Enneatonic
! colspan="4" |Minor mode Middletown temperament
!Neutral mode Middletown temperament
! colspan="5" |Major mode Middletown temperament
|-
! rowspan="3" |Aeolian-Dorian
! colspan="3" |Dorian
! rowspan="3" |Dorian-Mixolydian
! colspan="4" |Mixolydian
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
! rowspan="3" |Mixolydian-Ionian
|-
|-
! rowspan="2" |Subpental
! rowspan="2" |Pental
! rowspan="2" |Superpental
! rowspan="2" |Subpental
! rowspan="2" |Subpental
! rowspan="2" |Pental
! rowspan="2" |Pental
Line 349: Line 440:
!Intense
!Intense
|-
|-
|1
| |1
| colspan="2" |Gb
| colspan="2" |Gb
|76.834
|81.9905-83.359
|77.571
|82.347-83.716
|80.119
|84.209-85.557
|80.614
|85.598-86.967
|81.833
|86.556-87.924
|82.675
|83.031
|84.893
|86.2825
|87.24
|-
|-
|2
| |2
| colspan="2" |F#
| colspan="2" |F#
|153.6685
|163.981-166.718
|155.142
|164.694-167.431
|160.239
|168.417-171.154
|161.229
|171.1965-173.933
|163.666
|173.112-175.849
|165.3495
|166.063
|169.786
|172.565
|174.48
|-
|-
|3
| |3
| colspan="2" |G
| colspan="2" |G
|230.503
|245.971-250.077
|232.713
|247.0415-251.147
|240.358
|252.626-256.731
|241.843
|256.795-260.9
|245.498
|259.668-263.773
|248.024
|249.094
|254.679
|258.847
|261.7205
|-
|-
|4
| |4
|J
|J
|''A''
|''A''
|307.337
|327.962-333.436
|310.284
|329.389-334.862
|320.4775
|336.835-342.308
|322.457
|342.393-347.867
|327.331
|346.224-351.6975
|330.7
|332.1255
|339.571
|345.13
|348.961
|-
|-
|5
| |5
|Ab
|Ab
|''Bb''
|''Bb''
|384.171
|409.953-416.795
|387.855
|411.736-418.578
|400.597
|421.043-427.885
|403.3715
|427.991-434.833
|409.164
|432.78-439.622
|413.374
|415.157
|424.464
|431.412
|436.201
|-
|-
|6
| |6
|J#
|J#
|''A#''
|''A#''
|491.055
|491.943-500.154
|465.426
|494.083-502.2935
|480.716
|505.252-513.462
|483.686
|513.59-521.8
|490.997
|519.336-527.546
|496.0485
|498.188
|509.357
|517.695
|523.441
|-
|-
|7
| |7
|A
|A
|''B''
|''B''
|537.84
|573.934-583.513
|542.997
|576.43-586.001
|560.836
|589.4605-599.0395
|564.3
|599.188-608.767
|572.83
|605.892-615.471
|578.723
|581.22
|594.25
|603.977
|610.681
|-
|-
|8
|8
|B
|B
|''H''
|''H''
|614.074
|655.924-666.872
|620.568
|658.777-669.725
|640.955
|673.669-684.6165
|644.9145
|684.786-694.733
|654.662
|692.448-703.395
|661.398
|664.251
|679.143
|690.26
|697.921
|-
|-
|9
|9
|Hb
|Hb
|''Cb''
|''Cb''
|691.508
|737.915-750.231
|698.139
|741.1245-752.44
|721.074
|757.878-770.194
|725.529
|770.384-782.7
|736.495
|779.004-791.319
|744.073
|747.282
|764.036
|776.542
|785.1615
|-
|-
|10
|10
|B#
|B#
|''H#''
|''H#''
|768.3425
|819.9055-833.59
|775.71
|834.451-837.156
|801.194
|842.086-855.771
|806.143
|855.983-879.244
|818.327
|865.56-881.262
|826.748
|830.314
|848.9285
|862.825
|872.402
|-
|-
|11
|11
|H
|H
|''C''
|''C''
|845.177
|901.896-916.949
|853.281
|905.819-917.156
|881.313
|926.295-941.348
|886.757
|941.581-956.6335
|900.161
|952.1155-967.168
|909.422
|913.345
|933.821
|949.107
|959.642
|-
|-
|12
|12
|C
|C
|''D''
|''D''
|922.011
|983.887-1000.308
|930.852
|988.166-1000.8715
|964.4325
|1010.503-1026.925
|967.372
|1027.179-1043.6
|981.994
|1038.6715-1055.093
|992.097
|996.3765
|1018.714
|1035.39
|1046.882
|-
|-
|13
|13
|Db
|Db
|''Sb''
|''Sb''
|998.845
|1065.877-1083.667
|1008.4235
|1070.513-1084.587
|1041.552
|1094.712-1112.502
|1047.986
|1112.777-1130.567
|1063.826
|1125.2275-1143.017
|1074.772
|1079.408
|1103.607
|1121.672
|1134.122
|-
|-
|14
|14
|C#
|C#
|''D#''
|''D#''
|1075.68
|1147.868-1167.026
|1085.9945
|1152.86-1168.303
|1121.671
|1178.921-1198.079
|1128.6
|1198.376-1217.5335
|1145.659
|1211.783-1230.941
|1157.44
|1162.439
|1188.5
|1207.955
|1221.362
|-
|-
|15
|15
|D
|D
|''S''
|''S''
|1152.514
|1229.858-1250.3845
|1163.566
|1235.2075-1252.018
|1201.791
|1263.13-1283.656
|1209.215
|1283.974-1304.5
|1227.492
|1298.339-1318.451
|1240.121
|1245.471
|1273.392
|1294.237
|1308.6025
|-
|-
|16
|16
| colspan="2" |Eb
| colspan="2" |Eb
|1229.348
|1311.849-1333.743
|1241.137
|1317.555-1339.734
|1281.91
|1347.338-1369.233
|1289.829
|1369.572-1389.467
|1309.325
|1384.895-1406.79
|1322.796
|1328.502
|1358.286
|1380.5195
|1395.843
|-
|-
|17
|17
|D#
|D#
|''S#''
|''S#''
|1306.182
|1393.839-1417.1025
|1318.708
|1399.912-1423.165
|1362.029
|1431.547-1454.81
|1370.443
|1455.17-1478.434
|1391.158
|1471.451-1494.7145
|1405.471
|1411.533
|1443.1785
|1466.802
|1483.083
|-
|-
|18
|18
| colspan="2" |E
| colspan="2" |E
|1383.017
|1475.83-1500.461
|1396.279
|1399.902-1499.446
|1442.149
|1515.756-1540.387
|1451.0575
|1540.769-1565.4
|1472.99
|1558.007-1582.639
|1488.149
|1494.565
|1528.071
|1553.0845
|1570.323
|-
|-
|19
|19
| colspan="2" |F
| colspan="2" |F
|1459.851
|1557.82-1583.82
|1473.85
|1564.596-1590.596
|1522.268
|1599.964-1625.964
|1531.672
|1626.366-1652.366
|1554.823
|1644.563-1670.563
|1570.82
|1577.596
|1612.964
|1639.367
|1657.563
|}
|}
== 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"