User:Moremajorthanmajor/19edX: Difference between revisions

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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" |Intense 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
| |1
| colspan="2" |Gb
|Jb
| |75.7895
|Ab
| colspan="2" |77.193
|76.15-77.5185
| colspan="2" |78.947
|76.887-78.255
| colspan="2" |80.383
|79.435-80.804
| colspan="2" |81.203
|79.93-81.2985
| 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" |G#
| |151.579
|152.3-155.037
| colspan="2" |154.386
|153.774-156.5105
| colspan="2" |157.895
|158.87-161.607
| colspan="2" |160.766
|159.86-162.597
| colspan="2" |162.406
| colspan="2" |164.2105
| colspan="2" |165.7895
| colspan="2" |168.421
| colspan="2" |169.873
| colspan="2" |174.229
| |176.842
|-
|-
| |3
| |3
| colspan="2" |G
|J
| |227.368
|''A''
| colspan="2" |231.579
|228.45-232.555
| colspan="2" |236.842
|230.6605-234.766
| colspan="2" |241.148
|238.3055-242.411
| colspan="2" |243.609
|239.79-243.896
| 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
|A
|''A''
|''B''
| |303.158
|304.6-310.074
| colspan="2" |308.772
|307.547-313.021
| colspan="2" |315.7895
|317.741-323.214
| colspan="2" |321.531
|319.72-325.164
| 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
|Bb
|''Bb''
|''Cb''
| |378.947
|380.75-387.592
| colspan="2" |385.965
|384.434-391.276
| colspan="2" |394.737
|397.176-404.018
| colspan="2" |401.914
|399.6505-406.493
| 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#
|A#
|''A#''
|''B#''
| |454.737
|456.9-465.111
| colspan="2" |463.158
|461.321-469.5315
| colspan="2" |473.684
|476.611-484.8215
| colspan="2" |482.297
|479.581-487.791
| 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
|B
|''B''
|''C''
| |530.526
|533.05-542.926
| colspan="2" |540.351
|538.208-547.787
| colspan="2" |552.632
|556.046-565.625
| colspan="2" |592.679
|559.511-569.09
| 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
|C
|''H''
|''Q''
|606.316
|609.2-620.148
| colspan="2" |617.544
|615.095-626.042
| colspan="2" |631.579
|635.481-648.429
| colspan="2" |643.062
|639.441-650.388
| 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
|Qb
|''Cb''
|''Db''
|682.105
|685.35-697.666
| colspan="2" |694.737
|691.981-704.297
| colspan="2" |710.526
|714.9165-727.232
| colspan="2" |723.445
|719.371-731.687
| 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#
|C#
|''H#''
|''Q#''
|757.895
|761.5-775.185
| colspan="2" |771.93
|768.868-782.5525
| colspan="2" |789.474
|794.352-808.036
| colspan="2" |803.828
|799.301-812.985
| 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
|Q
|''C''
|''D''
|833.654
|837.6505-852.703
| colspan="2" |849.123
|845.755-860.808
| colspan="2" |868.421
|873.787-888.8395
| colspan="2" |884.2105
|879.231-894.284
| 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
|D
|''D''
|''S''
|909.474
|913.8005-930.222
| colspan="2" |926.326
|922.642-939.063
| colspan="2" |947.378
|953.222-969.643
| colspan="2" |964.593
|959.161-975.582.
| 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
| colspan="2" |Eb
|''Sb''
|989.951-1007.74
|985.263
|999.529-1017.318
| colspan="2" |1003.509
|1032.657-1050.447
| colspan="2" |1026.316
|1039.091-1056.881
| 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#
|D#
|''D#''
|''S#''
|1061.053
|1066.101-1085.2585
| colspan="2" |1080.702
|1076.416-1095.5735
| colspan="2" |1105.263
|1112.092-1131.25
| colspan="2" |1125.359
|1119.021-1138.179
| 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
| colspan="2" |E
|''S''
|1142.251-1162.777
|1136.842
|1153.302-1173.829
| colspan="2" |1107.895
|1191.5275-1212.054
| colspan="2" |1184.2105
|1198.9515-1219.478
| 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" |Fb
|1212.632
|1218.401-1240.295
| colspan="2" |1235.088
|1230.159-1525.054
| colspan="2" |1363.156
|1270.963-1292.857
| colspan="2" |1286.124
|1279.882-1300.776
| 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#
| colspan="2" |E#
|''S#''
|1294.551-1317.814
|1288.421
|1307.0769-1330.339
| colspan="2" |1312.181
|1350.298-1373.661
| colspan="2" |1042.105
|1358.612-1382.075
| 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" |F
|1364.2105
|1370.701-1395.332
| colspan="2" |1389.474
|1383.963-1408.594
| colspan="2" |1421.053
|1429.833-1454.465
| colspan="2" |1446.89
|1438.742-1463.373
| 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" |G
|1440
|1446.851-1472.851
| colspan="2" |1466.667
|1460.85-1486.85
| colspan="2" |1500
|1509.268-1535.268
| colspan="2" |1527.273
|1518.672-1544.672
| colspan="2" |1542.857
|}
| colspan="2" |1560
{| class="wikitable" style="text-align: center"
| colspan="2" |1575
!Degrees
| colspan="2" |1600
! colspan="4" |Enneatonic
| colspan="2" |1613.793
!Mohajira
| colspan="2" |1655.172
!Beatles
|1680
|}Most harmonic tunings
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
| |1
! colspan="2" rowspan="2" |Enneatonic
!Minor mode Middletown temperament
!Neutral mode Middletown temperament
!Major mode Middletown temperament
|-
!7/3±13¢
!22/9±13¢
!5/2±13¢
|-
|1
| colspan="2" |Gb
| colspan="2" |Gb
|76.5195-77.888
|Jb
|80.758-82.127
|Ab
|82.806-84.174
|80.942-82.31
|81.149-82.517
|-
|-
|2
| |2
| colspan="2" |F#
| colspan="2" |F#
|153.039-155.776
| colspan="2" |G#
|161.517-164.2535
|161.884-164.621
|165.612-168.349
|162.297-165.034
|-
|-
| |3
| |3
| colspan="2" |G
| colspan="2" |G
|229.559-233.664
|J
|242.275-246.38
|''A''
|248.418-252.523
|242.826-246.931
|246.446-247.551
|-
|-
|4
| |4
|J
|J
|''A''
|''A''
|306.078-311.552
|A
|323.033-328.507
|''B''
|331.224-336.698
|323.7675-329.241
|324.594-330.068
|-
|-
| |5
| |5
|Ab
|Ab
|''Bb''
|''Bb''
|382.598-389.44
|Bb
|403.792-410.634
|''Cb''
|414.03-420.872
|404.709-411.5515
|405.716-412.585
|-
|-
| |6
| |6
|J#
|J#
|''A#''
|''A#''
|459.117-467.328
|A#
|484.55-492.76
|''B#''
|496.835-505.046
|485.651-493.862
|486.8915-495.102
|-
|-
|7
| |7
|A
|A
|''B''
|''B''
|535.637-545.216
|B
|565.308-574.887
|''C''
|579.342-589.221
|566.593-576.172
|568.04-577.619
|-
|-
| |8
|8
|B
|B
|''H''
|''H''
|612.156-623.1035
|C
|646.0665-657.014
|''Q''
|662.448-673.395
|647.535-658.482
|649.189-660.136
|-
|-
|9
|9
|Hb
|Hb
|''Cb''
|''Cb''
|688.676-700.9915
|Qb
|726.825-739.141
|''Db''
|745.254-757.57
|728.477-740.792
|730.337-742.653
|-
|-
|10
|10
|B#
|B#
|''H#''
|''H#''
|765.195-778.879
|C#
|807.583-821.267
|''Q#''
|828.06-841.744
|809.419-823.103
|811.486-825.17
|-
|-
|11
|11
|H
|H
|''C''
|''C''
|841.715-856.767.
|Q
|888.341-903.394
|''D''
|910.866-925.9185
|890.361-905.413
|892.6345-907.687
|-
|-
| |12
|12
|C
|C
|''D''
|''D''
|918.234-934.655
|D
|969.1-985.52
|''S''
|993.672-1010.093
|971.302-987.7235
|973.783-990.204
|-
|-
|13
|13
|Db
|Db
|''Sb''
|''Sb''
|994.754-1012.543
| colspan="2" |Eb
|1049.858-1067.6475
|1052.244-1070.034
|1076.478-1094.267
|1054.932-1072.721
|-
|-
| |14
|14
|C#
|C#
|''D#''
|''D#''
|1071.273-1090.431
|D#
|1130.616-1149.774
|''S#''
|1159.284-1178.442
|1133.186-1152.344
|1136.08-1155.238
|-
|-
|15
|15
|D
|D
|''S''
|''S''
|1147.793-1168.319
| colspan="2" |E
|1211.375-1231.901
|1214.128-1234.654
|1242.09-1262.616
|1217.229-1237.755
|-
|-
|16
|16
| colspan="2" |Eb
| colspan="2" |Eb
|1224.312-1266.207
| colspan="2" |Fb
|1292.133-1314.028
|1295.07-1316.965
|1324.896-1346.7905
|1298.377-1320.272
|-
|-
|17
|17
|D#
|D#
|''S#''
|''S#''
|1300.832--1324.095
| colspan="2" |E#
|1372.891-1396.1545
|1376.012-1399.275
|1407.702-1430.965
|1379.526-1402.789
|-
|-
|18
|18
| colspan="2" |E
| colspan="2" |E
|1377.351-1401.983
| colspan="2" |F
|1453.65-1478.281
|1456.954-1481.585
|1490.507-1515.139
|1460.675-1485.306
|-
|-
|19
|19
| colspan="2" |F
| colspan="2" |F
|1453.871-1479.871
| colspan="2" |G
|1534.408-1560.408
|1537.8955-1563.8955
|1573.314-1599.314
|1541.823-1577.823
|}Golden tunings±13¢
|}
{| class="wikitable"
{| class="wikitable" style="text-align: center"
! rowspan="4" |Degrees
! rowspan="3" |Degrees
! colspan="2" rowspan="4" |Enneatonic
! colspan="2" rowspan="3" |Enneatonic
! colspan="4" |Minor mode Middletown temperament
!Neutral mode Middletown temperament
! colspan="5" |Major mode Middletown temperament
|-
! rowspan="3" |Intense 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 489: Line 442:
| |1
| |1
| colspan="2" |Gb
| colspan="2" |Gb
| |76.15-77.5185
|76.887-78.255
|79.435-80.804
|79.93-81.2985
|81.149-82.517
|81.9905-83.359
|81.9905-83.359
|82.347-83.716
|82.347-83.716
Line 502: Line 450:
| |2
| |2
| colspan="2" |F#
| colspan="2" |F#
| |152.3-155.037
|153.774-156.5105
|158.87-161.607
|159.86-162.597
|162.297-165.034
|163.981-166.718
|163.981-166.718
|164.694-167.431
|164.694-167.431
Line 515: Line 458:
| |3
| |3
| colspan="2" |G
| colspan="2" |G
| |228.45-232.555
|230.6605-234.766
|238.3055-242.411
|239.79-243.896
|243.446-247.551
|245.971-250.077
|245.971-250.077
|247.0415-251.147
|247.0415-251.147
Line 529: Line 467:
|J
|J
|''A''
|''A''
| |304.6-310.074
|307.547-313.021
|317.741-323.214
|319.72-325.164
|324.594-330.068
|327.962-333.436
|327.962-333.436
|329.389-334.862
|329.389-334.862
Line 543: Line 476:
|Ab
|Ab
|''Bb''
|''Bb''
| |380.75-387.592
|384.434-391.276
|397.176-404.018
|399.6505-406.493
|405.743-412.585
|409.953-416.795
|409.953-416.795
|411.736-418.578
|411.736-418.578
Line 557: Line 485:
|J#
|J#
|''A#''
|''A#''
| |456.9-465.111
|461.321-469.5315
|476.611-484.8215
|479.581-487.791
|486.8915-495.102
|491.943-500.154
|491.943-500.154
|494.083-502.2935
|494.083-502.2935
Line 571: Line 494:
|A
|A
|''B''
|''B''
| |533.05-542.926
|538.208-547.787
|556.046-565.625
|559.511-569.09
|568.04-577.619
|573.934-583.513
|573.934-583.513
|576.43-586.001
|576.43-586.001
Line 585: Line 503:
|B
|B
|''H''
|''H''
|609.2-620.148
|615.095-626.042
|635.481-648.429
|639.441-650.388
|649.189-660.136
|655.924-666.872
|655.924-666.872
|658.777-669.725
|658.777-669.725
Line 599: Line 512:
|Hb
|Hb
|''Cb''
|''Cb''
|685.35-697.666
|691.981-704.297
|714.9165-727.232
|719.371-731.687
|730.337-742.653
|737.915-750.231
|737.915-750.231
|741.1245-752.44
|741.1245-752.44
|757.878-770.194
|757.878-770.194
|770.384-782.7
|770.384-782.7
|779.004-791.31+
|779.004-791.319
|-
|-
|10
|10
|B#
|B#
|''H#''
|''H#''
|761.5-775.185
|768.868-782.5525
|794.352-808.036
|799.301-812.985
|811.486-825.17
|819.9055-833.59
|819.9055-833.59
|834.451-837.156
|834.451-837.156
Line 627: Line 530:
|H
|H
|''C''
|''C''
|837.6505-852.703
|845.755-860.808
|873.787-888.8395
|879.231-894.284
|892.6345-907.687
|901.896-916.949
|901.896-916.949
|905.819-917.156
|905.819-917.156
Line 641: Line 539:
|C
|C
|''D''
|''D''
|913.8005-930.222
|922.642-939.063
|953.222-969.643
|959.161-975.582.
|973.783-990.304
|983.887-1000.308
|983.887-1000.308
|988.166-1000.8715
|988.166-1000.8715
Line 655: Line 548:
|Db
|Db
|''Sb''
|''Sb''
|989.951-1007.74
|999.529-1017.318
|1032.657-1050.447
|1039.091-1056.881
|1054.932-1072.721
|1065.877-1083.667
|1065.877-1083.667
|1070.513-1084.587
|1070.513-1084.587
Line 669: Line 557:
|C#
|C#
|''D#''
|''D#''
|1066.101-1085.2585
|1076.416-1095.5735
|1112.092-1131.25
|1119.021-1138.179
|1136.08-1152.238
|1147.868-1167.026
|1147.868-1167.026
|1152.86-1168.303
|1152.86-1168.303
Line 683: Line 566:
|D
|D
|''S''
|''S''
|1142.251-1162.777
|1153.302-1173.829
|1191.5275-1212.054
|1198.9515-1219.478
|1217.229-1237.755
|1229.858-1250.3845
|1229.858-1250.3845
|1235.2075-1252.018
|1235.2075-1252.018
Line 696: Line 574:
|16
|16
| colspan="2" |Eb
| colspan="2" |Eb
|1218.401-1240.295
|1230.159-1525.054
|1270.963-1292.857
|1279.882-1300.776
|1298.377-1320.272
|1311.849-1333.743
|1311.849-1333.743
|1317.555-1339.734
|1317.555-1339.734
Line 710: Line 583:
|D#
|D#
|''S#''
|''S#''
|1294.551-1317.814
|1307.0769-1330.339
|1350.298-1373.661
|1358.612-1382.075
|1379.526-1402.789
|1393.839-1417.1025
|1393.839-1417.1025
|1399.912-1423.165
|1399.912-1423.165
Line 723: Line 591:
|18
|18
| colspan="2" |E
| colspan="2" |E
|1370.701-1395.332
|1383.963-1408.594
|1429.833-1454.465
|1438.742-1463.373
|1460.675-1485.306
|1475.83-1500.461
|1475.83-1500.461
|1399.902-1499.446
|1399.902-1499.446
Line 736: Line 599:
|19
|19
| colspan="2" |F
| colspan="2" |F
|1446.851-1472.851
|1460.85-1486.85
|1509.268-1535.268
|1518.672-1544.672
|1541.823-1567.823
|1557.82-1583.82
|1557.82-1583.82
|1564.596-1590.596
|1564.596-1590.596
Line 747: 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]]

Latest revision as of 03:57, 27 November 2024

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

Intervals

Decade Period Notes
6\5 75.790 Intense Aeolian-Subpental Dorian mode begins
29\24 76.316
23\19 76.454
17\14 76.692
11\9 77.193 Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
16\13 77.733
21\17 78.019
5\4 78.947 Subpental Dorian mode ends, Pental Dorian mode begins
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¢

Degrees Enneatonic Intense Aeolian-Subpental Dorian Dorian
Subpental Pental Superpental
1 Jb Ab 76.15-77.5185 76.887-78.255 79.435-80.804 79.93-81.2985
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 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 E 1142.251-1162.777 1153.302-1173.829 1191.5275-1212.054 1198.9515-1219.478
16 Fb 1218.401-1240.295 1230.159-1525.054 1270.963-1292.857 1279.882-1300.776
17 E# 1294.551-1317.814 1307.0769-1330.339 1350.298-1373.661 1358.612-1382.075
18 F 1370.701-1395.332 1383.963-1408.594 1429.833-1454.465 1438.742-1463.373
19 G 1446.851-1472.851 1460.85-1486.85 1509.268-1535.268 1518.672-1544.672
Degrees Enneatonic Mohajira Beatles
1 Gb Jb Ab 80.942-82.31 81.149-82.517
2 F# G# 161.884-164.621 162.297-165.034
3 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 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 E 1214.128-1234.654 1217.229-1237.755
16 Eb Fb 1295.07-1316.965 1298.377-1320.272
17 D# S# E# 1376.012-1399.275 1379.526-1402.789
18 E F 1456.954-1481.585 1460.675-1485.306
19 F G 1537.8955-1563.8955 1541.823-1577.823
Degrees Enneatonic Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
1 Gb 81.9905-83.359 82.347-83.716 84.209-85.557 85.598-86.967 86.556-87.924
2 F# 163.981-166.718 164.694-167.431 168.417-171.154 171.1965-173.933 173.112-175.849
3 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 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 E 1475.83-1500.461 1399.902-1499.446 1515.756-1540.387 1540.769-1565.4 1558.007-1582.639
19 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
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