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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" style="text-align: center"
{| class="wikitable"
! rowspan="3" |Degrees
!Decade
! colspan="2" rowspan="3" |Enneatonic
!Period
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
! Notes
! colspan="9" |Dorian
|-
| 6\5
|75.790
|Intense Aeolian-Subpental Dorian mode begins
|-
|-
! colspan="9" |Subpental
|29\24
|''76.316''
|
|-
|-
!Min-comma
|23\19
!Med
|76.454
!Max+comma
|
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
|-
|-
|1
|17\14
|Jb
|Ab
|74.2105-75.7895
|76.692
|76.692
| colspan="2" |79.123-82.281
|
|77.733
| colspan="2" |77.368-80.526
|80
| colspan="2" |78.804-81.964
|80.702
|81.203-82.782
|-
|-
|2
|11\9
| colspan="2" |G#
|77.193
|148.421-151.579
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|153.3835
| colspan="2" |158.246-164.561
|155.466
| colspan="2" |154.737-161.053
|160
| colspan="2" |157.608-163.923
|131.4035
|162.406-165.564
|-
|-
|3
|16\13
|J
|77.733
|''A''
|
|222.632-227.368
|230.075
| colspan="2" |237.368-246.842
|233.198
| colspan="2" |232.105-241.579
|240
| colspan="2" |236.4115-245.885
|242.105
|243.609-248.346
|-
|4
|A
|''B''
|296.842-303.158
|306.767
| colspan="2" |316.491-329.123
|310.931
| colspan="2" |309.474-322.105
|320
| colspan="2" |315.215-327.847
|322.807
|324.812-331.128
|-
|5
|Bb
|''Cb''
|371.053-378.947
|383.459
| colspan="2" |395.614-411.4035
|388.664
| colspan="2" |386.842-402.632
|400
| colspan="2" |394.019-409.809
|403.508
|406.015-413.91
|-
|6
|A#
|''B#''
|445.263-454.737
|460.15
| colspan="2" |474.737-493.684
|466.397
| colspan="2" |464.2105-483.158
|480
| colspan="2" |472.823-491.77
|484.2105
|487.218-496.692
|-
|7
|B
|''C''
|519.474-530.526
|536.842
| colspan="2" |553.86-575.965
|544.13
| colspan="2" |541.579-563.684
|560
| colspan="2" |551.627-573.732
|564.912
|568.421-579.474
|-
|-
|8
|21\17
|C
|78.019
|''Q''
|
|593.684-606.316
|612.534
| colspan="2" |632.9825-658.246
|621.862
| colspan="2" |618.947-644.2015
|640
| colspan="2" |630.431-544.694
|645.614
|647.624-662.256
|-
|-
|9
|5\4
|Qb
|''78.947''
|''Db''
|Subpental Dorian mode ends, Pental Dorian mode begins
|667.895-682.105
|690.226
| colspan="2" |712.105-740.526
|699.595
| colspan="2" |696.316-724.737
|720
| colspan="2" |709.234-737.6555
|726.316
|730.827-745.038
|-
|-
|10
|24\19
|C#
|79.778
|''Q#''
|
|742.105-757.895
|766.917
| colspan="2" |791.228-822.807
|777.328
| colspan="2" |773.684-805.263
|800
| colspan="2" |788.038-819.617
|807.0175
|812.03-827.8195
|-
|-
|11
|19\15
|Q
|80.000
|''D''
|
|816.316-833.654
|843.609
| colspan="2" |870.351-905.088
|855.061
| colspan="2" |851.053-885.7895
|880
| colspan="2" |866.842-901.579
|877.719
|893.233-910.6015
|-
|-
|12
|14\11
|D
|80.383
|''S''
|Pental Dorian mode ends, Superpental Dorian mode begins
|890.526-909.474
|920.301
| colspan="2" |949.474-987.368
|932.7935
| colspan="2" |928.421-966.316
|960
| colspan="2" |945.646-983.54
|968.421
|974.436-993.3835
|-
|-
|13
|23\18
| colspan="2" |Eb
|80.702
|964.737-985.263
|
|996.9925
| colspan="2" |1028.5965-1069.649
|1010.526
| colspan="2" |1005.7895-1046.842
|1040
| colspan="2" |1024.45-1065.502
|1049.123
|1055.639-1076.165
|-
|14
|D#
|''S#''
|1038.947-1061.053
|1073.684
| colspan="2" |1107.719-1151.93
|1088.259
| colspan="2" |1083.158-1127.368
|1120
| colspan="2" |1103.254-1147.464
|1129.825
|1136.842-1158.947
|-
|15
| colspan="2" |E
|1113.158-1136.842
|1150.376
| colspan="2" |1186.842-1234.2105
|1165.992
| colspan="2" |1160.526-1207.895
|1200
| colspan="2" |1182.057-1229.426
|1210.526
|1218.045-1241.729
|-
|16
| colspan="2" |Fb
|1187.368-1212.632
|1227.068
| colspan="2" |1265.965-1316.491
|1243.725
| colspan="2" |1237.895-1288.421
|1280
| colspan="2" |1260.861-1311.388
|1291.229
|1299.248-1324.511
|-
|17
| colspan="2" |E#
|1261.579-1288.421
|1303.759
| colspan="2" |1345.088-1398.772
|1321.4575
| colspan="2" |1315.263-1368.947
|1360
| colspan="2" |1339.665-1393.349
|1371.93
|1380.451-1407.293
|-
|18
| colspan="2" |F
|1335.7895-1364.2105
|1380.451
| colspan="2" |1424.2105-1481.053
|1399.19
| colspan="2" |1392.632-1449.474
|1440
| colspan="2" |1418.469-1475.311
|1452.632
|1461.654-1490.075
|-
|19
| colspan="2" |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="4" rowspan="2" |Enneatonic
! colspan="4" |Mohajira
! colspan="3" |Beatles
|-
!Min-comma
!''r¢''
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
|-
|1
| colspan="2" |Gb
|Jb
|Ab
|79.624-81.203
| colspan="2" |''81.579''
| colspan="2" |80.155-83.313
|81.871
|82.105-83.684
|-
|2
| colspan="2" |F#
| colspan="2" |G#
|159.248-162.406
| colspan="2" |''163.158''
| colspan="2" |160.31-166.625
|163.743
|164.2105-167.368
|-
|3
| colspan="2" |G
|J
|''A''
|238.875-243.609
| colspan="2" |''244.737''
| colspan="2" |240.464-249.938
|245.614
|246.316-251.053
|-
|4
|J
|''A''
|A
|''B''
|318.496-324.812
| colspan="2" |''326.316''
| colspan="2" |320.619-333.251
|327.485
|328.421-334.737
|-
|5
|Ab
|''Bb''
|Bb
|''Cb''
|398.12-406.015
| colspan="2" |''407.895''
| colspan="2" |400.774-416.5635
|409.357
|410.526-418.421
|-
|6
|J#
|''A#''
|A#
|''B#''
|477.744-487.218
| colspan="2" |''489.474''
| colspan="2" |480.929-499.876
|491.228
|492.632-502.105
|-
|7
|A
|''B''
|B
|''C''
|557.368-568.421
| colspan="2" |''571.053''
| colspan="2" |561.084-583.189
|573.099
|574.737-585.7895
|-
|8
|B
|''H''
|C
|''Q''
|636.9925-647.624
| colspan="2" |''652.632''
| colspan="2" |641.238-666.5015
|654.971
|656.842-669.474
|-
|9
|Hb
|''Cb''
|Qb
|''Db''
|716.6165-730.827
| colspan="2" |''734.2105''
| colspan="2" |721.393-749.8142
|736.842
|738.947-753.158
|-
|10
|B#
|''H#''
|C#
|''Q#''
|796.241-812.03
| colspan="2" |''815.7895''
| colspan="2" |801.548-833.127
|818.7135
|821.053-836.842
|-
|11
|H
|''C''
|Q
|''D''
|875.865-893.233
| colspan="2" |''897.368''
| colspan="2" |881.703-916.44
|900.585
|903.158-920.526
|-
|12
|C
|''D''
|D
|''S''
|955.489-974.436
| colspan="2" |''978.947''
| colspan="2" |961.858-999.752
|982.456
|985.263-1004.2105
|-
|13
|Db
|''Sb''
| colspan="2" |Eb
|1035.113-1055.639
| colspan="2" |''1060.526''
| colspan="2" |1042.012-1083.065-
|1064.3275
|1067.368-1087.895
|-
|14
|C#
|''D#''
|D#
|''S#''
|1114.737-1136.842
| colspan="2" |''1142.105''
| colspan="2" |1122.167-1166.378
|1146.199
|1149.474-1171.579
|-
|15
|D
|''S''
| colspan="2" |E
|1194.361-1218.045
| colspan="2" |''1223.684''
| colspan="2" |1202.322-1249.69
|1228.07
|1231.579-1255.263
|-
|16
| colspan="2" |Eb
| colspan="2" |Fb
|1273.985-1299.248
| colspan="2" |''1305.263''
| colspan="2" |1282.477-1333.003
|1309.941
|1313.684-1338.947
|-
|-
|17
|9\7
|D#
|81.203
|''S#''
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
| colspan="2" |E#
|1353.609-1380.451
| colspan="2" |''1386.842''
| colspan="2" |1362.632-1416.316
|1391.813
|1395.7895-1422.632
|-
|18
| colspan="2" |E
| colspan="2" |F
|1433.233-1461.654
| colspan="2" |''1468.421''
| colspan="2" |1442.786-1499.6285
|1473.654
|1477.895-1506.316
|-
|19
| colspan="2" |F
| colspan="2" |G
|1512.857-1542.857
| colspan="2" |''1550''
| colspan="2" |1522.941-1582.941
|1555.556
|1560-1590
|}
{| class="wikitable"
! rowspan="5" |Degrees
! colspan="2" rowspan="5" |Enneatonic
! colspan="15" |Major mode Middletown temperament
|-
|-
! colspan="12" |Mixolydian
|31\24
! colspan="3" rowspan="3" |Mixolydian-Ionian
|''81.579''
|
|-
|-
! colspan="3" rowspan="2" |Subpental
|22\17
! colspan="3" rowspan="2" |Pental
|81.734
! colspan="6" |Superpental
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|-
|-
! colspan="3" |Soft
|35\27
! colspan="3" |Intense
|87.872
|
|-
|-
!Min-comma
|13\10
!Med
|82.105
!Max+comma
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
! |Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
!Max+comma
!Min-comma
!Med
! |Max+comma
|-
|-
| |1
|17\13
| colspan="2" |Gb
|80.526-82.105
|82.591
|82.591
| colspan="2" |81.316-84.474
|
|83.1025
| colspan="2" |82.632-85.7895
|85.132
| colspan="2" |83.3575-86.515
|86.025
| colspan="2" |87.0985-88.693
|87.3065
| |88.421-90
|-
|-
| |2
|21\16
| colspan="2" |F#
|82.896
|161.053-164.2105
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|165.182
| colspan="2" |162.632-168.947
|166.205
| colspan="2" |165.263-171.579
|170.263
| colspan="2" |166.715-173.031
|172.051
| colspan="2" |174.197-177.387
|174.613
| |176.842-180
|-
|-
| |3
|25\19
| colspan="2" |G
|83.102
|241.579-246.316
|
|247.773
| colspan="2" |243.947-253.421
|249.3075
| colspan="2" |247.895-257.368
|255.395
| colspan="2" |250.073-259.546
|258.076
| colspan="2" |261.296-266.08
|261.9195
| |265.263-270
|-
|-
| |4
|29\22
|J
|83.253
|''A''
|
|322.105-328.421
|330.364
| colspan="2" |325.263-337.895
|332.41
| colspan="2" |330.526-343.158
|340.526
| colspan="2" |333.73-346.062
|344.101
| colspan="2" |348.394-354.773
|349.226
| |353.684-360
|-
|-
| |5
|33\25
|Ab
|83.368
|''Bb''
|
|402.632-410.526
|412.9555
| colspan="2" |406.579-422.368
|415.5125
| colspan="2" |413.158-428.947
|425.658
| colspan="2" |416.788-432.577
|430.127
| colspan="2" |435.493-443.466
|436.5325
| |442.105-450
|-
|-
| |6
|4\3
|J#
|''84.211''
|''A#''
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|483.158-492.632
|495.547
| colspan="2" |487.895-506.842
|498.615
| colspan="2" |495.7895-514.737
|510.7895
| colspan="2" |500.145-519.093
|516.1525
| colspan="2" |522.591-532.16
|523.839
| |530.526-540
|-
|-
| |7
|19\14
|A
|85.714
|''B''
|
|563.684-574.737
|578.138
| colspan="2" |596.2105-591.316
|581.7175
| colspan="2" |578.421-600.526
|595.921
| colspan="2" |583.503-605.608
|602.178
| colspan="2" |609.69-620.853
|611.1455
| |618.947-630
|-
|-
|8
|15\11
|B
|86.124
|''H''
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|644.2105-656.842
|660.729
| colspan="2" |650.526-675.7895
|664.82
| colspan="2" |661.053-686.316
|681.053
| colspan="2" |666.86-692.123
|688.203
| colspan="2" |696.788-709.546
|698.452
|707.368-720
|-
|-
|9
|26\19
|Hb
|86.427
|''Cb''
|
|724.737-738.947
|743.32
| colspan="2" |731.842-760.263
|747.922
| colspan="2" |743.684-772.105
|766.184
| colspan="2" |750.218-778.639
|774.229
| colspan="2" |783.887-798.24
|785.7585
|795.7895-810
|-
|10
|B#
|''H#''
|805.263-821.053
|825.911
| colspan="2" |813.158-844.737
|831.025
| colspan="2" |826.316-857.895
|851.316
| colspan="2" |833.878-865.154
|860.254
| colspan="2" |870.9855-886.933
|873.065
|884.2105-900
|-
|11
|H
|''C''
|885.7895-903.158
|908.502
| colspan="2" |894.474-929.2105
|914.127
| colspan="2" |908.947-943.684.
|936.477
| colspan="2" |916.933-951.67
|946.2795
| colspan="2" |958.084-975.626
|960.3715
|972.632-990
|-
|12
|C
|''D''
|966.316-985.263
|991.093
| colspan="2" |975.7895-1013.684
|997.23
| colspan="2" |991.579-1029.474
|1021.579
| colspan="2" |100.29-1038.185
|1032.305
| colspan="2" |1045.183-1064.319
|1047.678
|1061.053-1080
|-
|13
|Db
|''Sb''
|1046.842-1067.368
|1073.684
| colspan="2" |1057.105-1098.158
|1080.332
| colspan="2" |1074.2105-1115.263
|1106.7105
| colspan="2" |1083.647-1127.7005
|1118.33
| colspan="2" |1132.281-1153.013
|1134.9845
|1149.474-1170
|-
|14
|C#
|''D#''
|1127.368-1149.474
|1156.275
| colspan="2" |1138.421-1182.684
|1163.435
| colspan="2" |1156.842-1201.053
|1191.842
| colspan="2" |1167.005-1211.216
|1204.356
| colspan="2" |1219.38-1241.706
|1222.291
|1237.895-1260
|-
|15
|D
|''S''
|1207.895-1231.579
|1238.866
| colspan="2" |1219.737-1267.105
|1246.537
| colspan="2" |1239.474-1286.842
|1276.974
| colspan="2" |1250.363-1297.731
|1290.381
| colspan="2" |1306.478-1330.399
|1309.5975
|1326.316-1350
|-
|-
|16
|11\8
| colspan="2" |Eb
|''86.842''
|1288.421-1313.684
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|1321.458
| colspan="2" |1301.053-1351.579
|1329.64
| colspan="2" |1322.105-1372.642
|1362.105
| colspan="2" |1333.7205-1384.247
|1376.4065
| colspan="2" |1393.577-1419.093
|1396.9040
|1414.737-1440
|-
|-
|17
|18\13
|D#
|87.449
|''S#''
|
|1368.947-1395.7895
|1404.049
| colspan="2" |1382.368-1436.053
|1412.742
| colspan="2" |1404.737-1458.421
|1447.237
| colspan="2" |1417.078-1470.762
|1462.432
| colspan="2" |1480.675-1507.786
|1484.2105
|1503.158-1530
|-
|-
|18
|25\18
| colspan="2" |E
|87.719
|1449.474-1477.895
|
|1486.64
| colspan="2" |1463.684-1520.526
|1495.845
| colspan="2" |1487.368-1544.2105
|1532.368
| colspan="2" |1500.436-1557.178
|1548.457
| colspan="2" |1567.774-1596.479
|1571.517
|1591.579-1620
|-
|-
|19
|7\5
| colspan="2" |F
|88.421
|1530-1560
|Mixolydian-Ionian mode ends
|1569.231
|}Golden/Pyrite Tunings±13¢
| 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="2" |Enneatonic
!Intense Aeolian-Subpental Dorian
!Dorian
|-
| |1
|Jb
|Ab
|76.316
|78.947
|-
| |2
| colspan="2" |G#
|152.632
|157.895
|-
| |3
|J
|''A''
|228.947
|236.842
|-
| |4
|A
|''B''
|305.263
|315.7895
|-
| |5
|Bb
|''Cb''
|381.579
|394.737
|-
| |6
|A#
|''B#''
|457.895
|473.684
|-
| |7
|B
|''C''
|534.2105
|552.632
|-
|8
|C
|''Q''
|610.526
|631.579
|-
|9
|Qb
|''Db''
|686.842
|710.526
|-
|10
|C#
|''Q#''
|763.158
|789.474
|-
|11
|Q
|''D''
|839.474
|868.421
|-
|12
|D
|''S''
|915.7895
|947.378
|-
|13
| colspan="2" |Eb
|992.105
|1026.316
|-
|14
|D#
|''S#''
|1068.421
|1105.263
|-
|15
| colspan="2" |E
|1144.737
|1184.2105
|-
|16
| colspan="2" |Fb
|1221.053
|1363.156
|-
|17
| colspan="2" |E#
|1297.368
|1042.105
|-
|18
| colspan="2" |F
|1373.684
|1421.053
|-
|19
| colspan="2" |G
|1450
|1500
|}
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="2" |Enneatonic
!Subpental-Soft Superpental Mixolydian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
|-
| |1
| colspan="2" |Gb
|84.2105
|86.842
|-
| |2
| colspan="2" |F#
|168.421
|173.684
|-
| |3
| colspan="2" |G
|252.632
|260.526
|-
| |4
|J
|''A''
|336.842
|347.368
|-
| |5
|Ab
|''Bb''
|421.053
|434.2105
|-
| |6
|J#
|''A#''
|505.263
|521.05
|-
| |7
|A
|''B''
|589.474
|607.895
|-
|8
|B
|''H''
|673.684
|694.737
|-
|9
|Hb
|''Cb''
|757.895
|781.579
|-
|10
|B#
|''H#''
|842.105
|868.421
|-
|11
|H
|''C''
|926.316
|955.263
|-
|12
|C
|''D''
|1010.526
|1042.105
|-
|13
|Db
|''Sb''
|1094.737
|1128.947
|-
|14
|C#
|''D#''
|1178.947
|1215.7895
|-
|15
|D
|''S''
|1263.158
|1302.632
|-
|16
| colspan="2" |Eb
|1347.378
|1389.474
|-
|17
|D#
|''S#''
|1431.579
|1476.316
|-
|18
| colspan="2" |E
|1515.7895
|1563.158
|-
|19
| colspan="2" |F
|1600
|1650
|}
Golden/Pyrite Tunings±13¢
{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! rowspan="2" |Degrees
Line 1,491: Line 605:
|1644.563-1670.563
|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]]
[[Category:EdX]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/19edX"