User:Moremajorthanmajor/19edX: Difference between revisions

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==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable" style="text-align: center"
! rowspan="5" |Degrees
! rowspan="3" |Degrees
! colspan="2" rowspan="5" |Enneatonic
! colspan="2" rowspan="3" |Enneatonic
! colspan="8" |Minor mode Middletown temperament
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
! colspan="2" |Neutral mode Middletown temperament
! colspan="10" |Dorian
! colspan="10" |Major mode Middletown temperament
|-
|-
! colspan="2" rowspan="3" |Intense Aeolian-Dorian
! colspan="10" |Subpental
! colspan="6" |Dorian
! colspan="2" rowspan="3" |Dorian-Mixolydian
! colspan="8" |Mixolydian
! colspan="2" rowspan="3" |Mixolydian-Ionian
|-
|-
! colspan="2" rowspan="2" |Subpental
!Min
! colspan="2" rowspan="2" |Pental
!Golden±13¢
! colspan="2" rowspan="2" |Superpental
!Max
! colspan="2" rowspan="2" |Subpental
!Min
! colspan="2" rowspan="2" |Pental
!7/3±13¢
! colspan="4" |Superpental
!Golden±13¢
!Max
!Min
!Golden±13¢
!Max
!Min
!Golden±13¢
!Max
|-
|-
! colspan="2" |Soft
|1
! colspan="2" |Intense
|Jb
|-
|Ab
! |Minimum
|75.7895
! |Maximum
|76.15-77.5185
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! |Maximum
!Minimum
!Maximum
! |Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! |Maximum
|-
| |1
| colspan="2" |Gb
| |75.7895
| colspan="2" |77.193
| colspan="2" |77.193
|76.5195-77.888
|76.887-78.255
| colspan="2" |78.947
| colspan="2" |78.947
|79.435-80.804
| colspan="2" |80.383
| colspan="2" |80.383
| colspan="2" |81.203
|79.93-81.2985
| colspan="2" |82.105
|81.203
| 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
|151.579
|152.3-155.037
| colspan="2" |154.386
| colspan="2" |154.386
|153.039-155.776
|153.774-156.5105
| colspan="2" |157.895
| colspan="2" |157.895
|158.87-161.607
| colspan="2" |160.766
| colspan="2" |160.766
| colspan="2" |162.406
|159.86-162.597
| colspan="2" |164.2105
|162.406
| 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''
|227.368
|228.45-232.555
| colspan="2" |231.579
| colspan="2" |231.579
|229.559-233.664
|230.6605-234.766
| colspan="2" |236.842
| colspan="2" |236.842
|238.3055-242.411
| colspan="2" |241.148
| colspan="2" |241.148
| colspan="2" |243.609
|239.79-243.896
| colspan="2" |246.316
|243.609
| 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
|303.158
|304.6-310.074
| colspan="2" |308.772
| colspan="2" |308.772
|306.078-311.552
|307.547-313.021
| colspan="2" |315.7895
| colspan="2" |315.7895
|317.741-323.214
| colspan="2" |321.531
| colspan="2" |321.531
| colspan="2" |324.812
|319.72-325.164
| colspan="2" |328.421
|324.812
| 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
|378.947
|380.75-387.592
| colspan="2" |385.965
| colspan="2" |385.965
|382.598-389.44
|384.434-391.276
| colspan="2" |394.737
| colspan="2" |394.737
|397.176-404.018
| colspan="2" |401.914
| colspan="2" |401.914
| colspan="2" |406.015
|399.6505-406.493
| colspan="2" |410.526
|406.015
| 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
|454.737
|456.9-465.111
| colspan="2" |463.158
| colspan="2" |463.158
|459.117-467.328
|461.321-469.5315
| colspan="2" |473.684
| colspan="2" |473.684
|476.611-484.8215
| colspan="2" |482.297
| colspan="2" |482.297
| colspan="2" |487.218
|479.581-487.791
| colspan="2" |492.632
|487.218
| 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
|530.526
|533.05-542.926
| colspan="2" |540.351
| colspan="2" |540.351
|535.637-545.216
|538.208-547.787
| colspan="2" |552.632
| colspan="2" |552.632
|556.046-565.625
| colspan="2" |592.679
| colspan="2" |592.679
| colspan="2" |568.421
|559.511-569.09
| colspan="2" |574.737
|568.421
| 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
|606.316
|609.2-620.148
| colspan="2" |617.544
| colspan="2" |617.544
|612.156-623.1035
|615.095-626.042
| colspan="2" |631.579
| colspan="2" |631.579
|635.481-648.429
| colspan="2" |643.062
| colspan="2" |643.062
| colspan="2" |647.624
|639.441-650.388
| colspan="2" |656.842
|647.624
| 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
|682.105
|685.35-697.666
| colspan="2" |694.737
| colspan="2" |694.737
|688.676-700.9915
|691.981-704.297
| colspan="2" |710.526
| colspan="2" |710.526
|714.9165-727.232
| colspan="2" |723.445
| colspan="2" |723.445
| colspan="2" |730.827
|719.371-731.687
| colspan="2" |738.947
|730.827
| 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
|757.895
|761.5-775.185
| colspan="2" |771.93
| colspan="2" |771.93
|765.195-778.879
|768.868-782.5525
| colspan="2" |789.474
| colspan="2" |789.474
|794.352-808.036
| colspan="2" |803.828
| colspan="2" |803.828
| colspan="2" |812.03
|799.301-812.985
| colspan="2" |821.053
|812.03
| 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
|833.654
|837.6505-852.703
| colspan="2" |849.123
| colspan="2" |849.123
|841.715-856.767.
|845.755-860.808
| colspan="2" |868.421
| colspan="2" |868.421
|873.787-888.8395
| colspan="2" |884.2105
| colspan="2" |884.2105
| colspan="2" |893.233
|879.231-894.284
| colspan="2" |903.158
|893.233
| 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
|909.474
|913.8005-930.222
| colspan="2" |926.326
| colspan="2" |926.326
|918.234-934.655
|922.642-939.063
| colspan="2" |947.378
| colspan="2" |947.378
|953.222-969.643
| colspan="2" |964.593
| colspan="2" |964.593
| colspan="2" |974.436
|959.161-975.582.
| colspan="2" |985.263
|974.436
| 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''
|985.263
|985.263
|989.951-1007.74
| colspan="2" |1003.509
| colspan="2" |1003.509
|994.754-1012.543
|999.529-1017.318
| colspan="2" |1026.316
| colspan="2" |1026.316
|1032.657-1050.447
| colspan="2" |1044.976
| colspan="2" |1044.976
| colspan="2" |1055.639
|1039.091-1056.881
| colspan="2" |1067.368
|1055.639
| 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
|1061.053
|1066.101-1085.2585
| colspan="2" |1080.702
| colspan="2" |1080.702
|1071.273-1090.431
|1076.416-1095.5735
| colspan="2" |1105.263
| colspan="2" |1105.263
|1112.092-1131.25
| colspan="2" |1125.359
| colspan="2" |1125.359
| colspan="2" |1136.842
|1119.021-1138.179
| colspan="2" |1149.474
|1136.842
| 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''
|1136.842
|1136.842
|1142.251-1162.777
| colspan="2" |1107.895
| colspan="2" |1107.895
|1147.793-1168.319
|1153.302-1173.829
| colspan="2" |1184.2105
| colspan="2" |1184.2105
|1191.5275-1212.054
| colspan="2" |1205.742
| colspan="2" |1205.742
| colspan="2" |1218.045
|1198.9515-1219.478
| colspan="2" |1231.579
|1218.045
| 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
|1212.632
|1218.401-1240.295
| colspan="2" |1235.088
| colspan="2" |1235.088
|1224.312-1266.207
|1230.159-1525.054
| colspan="2" |1363.156
| colspan="2" |1363.156
|1270.963-1292.857
| colspan="2" |1286.124
| colspan="2" |1286.124
| colspan="2" |1299.248
|1279.882-1300.776
| colspan="2" |1313.684
|1299.248
| 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#''
|1288.421
|1288.421
|1294.551-1317.814
| colspan="2" |1312.181
| colspan="2" |1312.181
|1300.832--1324.095
|1307.0769-1330.339
| colspan="2" |1042.105
| colspan="2" |1042.105
|1350.298-1373.661
| colspan="2" |1366.507
| colspan="2" |1366.507
| colspan="2" |1380.451
|1358.612-1382.075
| colspan="2" |1395.7895
|1380.451
| 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
|1364.2105
|1370.701-1395.332
| colspan="2" |1389.474
| colspan="2" |1389.474
|1377.351-1401.983
|1383.963-1408.594
| colspan="2" |1421.053
| colspan="2" |1421.053
|1429.833-1454.465
| colspan="2" |1446.89
| colspan="2" |1446.89
| colspan="2" |1461.654
|1438.742-1463.373
| colspan="2" |1477.895
|1461.654
| 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
|1440
|1446.851-1472.851
| colspan="2" |1466.667
| colspan="2" |1466.667
|1453.871-1479.871
|1460.85-1486.85
| colspan="2" |1500
| colspan="2" |1500
|1509.268-1535.268
| colspan="2" |1527.273
| colspan="2" |1527.273
| colspan="2" |1542.857
|1518.672-1544.672
| colspan="2" |1560
|1542.857
| colspan="2" |1575
|}
| colspan="2" |1600
{| class="wikitable" style="text-align: center"
| colspan="2" |1613.793
!Degrees
| colspan="2" |1655.172
! colspan="4" |Enneatonic
|1680
!Min
|}Most harmonic tunings
{| class="wikitable"
|-
! rowspan="2" |Degrees
! colspan="2" rowspan="2" |Enneatonic
!Minor mode Middletown temperament
!Neutral mode Middletown temperament
!Major mode Middletown temperament
|-
!7/3±13¢
!22/9±13¢
!22/9±13¢
!5/2±13¢
!Golden±13¢
!Max
|-
|-
|1
|1
| colspan="2" |Gb
| colspan="2" |Gb
|76.5195-77.888
|Jb
|Ab
|81.203
|80.758-82.127
|80.758-82.127
|82.806-84.174
|81.149-82.517
|82.105
|-
|-
|2
|2
| colspan="2" |F#
| colspan="2" |F#
|153.039-155.776
| colspan="2" |G#
|162.406
|161.517-164.2535
|161.517-164.2535
|165.612-168.349
|162.297-165.034
|164.2105
|-
|-
| |3
|3
| colspan="2" |G
| colspan="2" |G
|229.559-233.664
|J
|''A''
|243.609
|242.275-246.38
|242.275-246.38
|248.418-252.523
|243.446-247.551
|246.316
|-
|-
|4
|4
|J
|J
|''A''
|''A''
|306.078-311.552
|A
|''B''
|324.812
|323.033-328.507
|323.033-328.507
|331.224-336.698
|324.594-330.068
|328.421
|-
|-
| |5
|5
|Ab
|Ab
|''Bb''
|''Bb''
|382.598-389.44
|Bb
|''Cb''
|406.015
|403.792-410.634
|403.792-410.634
|414.03-420.872
|405.743-412.585
|410.526
|-
|-
| |6
|6
|J#
|J#
|''A#''
|''A#''
|459.117-467.328
|A#
|''B#''
|487.218
|484.55-492.76
|484.55-492.76
|496.835-505.046
|486.8915-495.102
|492.632
|-
|-
|7
|7
|A
|A
|''B''
|''B''
|535.637-545.216
|B
|''C''
|568.421
|565.308-574.887
|565.308-574.887
|579.342-589.221
|568.04-577.619
|574.737
|-
|-
| |8
|8
|B
|B
|''H''
|''H''
|612.156-623.1035
|C
|''Q''
|647.624
|646.0665-657.014
|646.0665-657.014
|662.448-673.395
|649.189-660.136
|656.842
|-
|-
|9
|9
|Hb
|Hb
|''Cb''
|''Cb''
|688.676-700.9915
|Qb
|''Db''
|730.827
|726.825-739.141
|726.825-739.141
|745.254-757.57
|730.337-742.653
|738.947
|-
|-
|10
|10
|B#
|B#
|''H#''
|''H#''
|765.195-778.879
|C#
|''Q#''
|812.03
|807.583-821.267
|807.583-821.267
|828.06-841.744
|811.486-825.17
|821.053
|-
|-
|11
|11
|H
|H
|''C''
|''C''
|841.715-856.767.
|Q
|''D''
|893.233
|888.341-903.394
|888.341-903.394
|910.866-925.9185
|892.6345-907.687
|903.158
|-
|-
| |12
|12
|C
|C
|''D''
|''D''
|918.234-934.655
|D
|''S''
|974.436
|969.1-985.52
|969.1-985.52
|993.672-1010.093
|973.783-990.304
|985.263
|-
|-
|13
|13
|Db
|Db
|''Sb''
|''Sb''
|994.754-1012.543
| colspan="2" |Eb
|1055.639
|1049.858-1067.6475
|1049.858-1067.6475
|1076.478-1094.267
|1054.932-1072.721
|1067.368
|-
|-
| |14
|14
|C#
|C#
|''D#''
|''D#''
|1071.273-1090.431
|D#
|''S#''
|1136.842
|1130.616-1149.774
|1130.616-1149.774
|1159.284-1178.442
|1136.08-1152.238
|1149.474
|-
|-
|15
|15
|D
|D
|''S''
|''S''
|1147.793-1168.319
| colspan="2" |E
|1218.045
|1211.375-1231.901
|1211.375-1231.901
|1242.09-1262.616
|1217.229-1237.755
|1231.579
|-
|-
|16
|16
| colspan="2" |Eb
| colspan="2" |Eb
|1224.312-1266.207
| colspan="2" |Fb
|1299.248
|1292.133-1314.028
|1292.133-1314.028
|1324.896-1346.7905
|1298.377-1320.272
|1313.684
|-
|-
|17
|17
|D#
|D#
|''S#''
|''S#''
|1300.832--1324.095
| colspan="2" |E#
|1380.451
|1372.891-1396.1545
|1372.891-1396.1545
|1407.702-1430.965
|1379.526-1402.789
|1395.7895
|-
|-
|18
|18
| colspan="2" |E
| colspan="2" |E
|1377.351-1401.983
| colspan="2" |F
|1461.654
|1453.65-1478.281
|1453.65-1478.281
|1490.507-1515.139
|1460.675-1485.306
|1477.895
|-
|-
|19
|19
| colspan="2" |F
| colspan="2" |F
|1453.871-1479.871
| colspan="2" |G
|1542.857
|1534.408-1560.408
|1534.408-1560.408
|1573.314-1599.314
|1541.823-1567.823
|}Golden tunings±13¢
|1560
|}
{| class="wikitable"
{| class="wikitable"
! rowspan="4" |Degrees
! rowspan="5" |Degrees
! colspan="2" rowspan="4" |Enneatonic
! colspan="2" rowspan="5" |Enneatonic
! colspan="4" |Minor mode Middletown temperament
! colspan="16" |Major mode Middletown temperament
!Neutral mode Middletown temperament
! colspan="5" |Major mode Middletown temperament
|-
|-
! rowspan="3" |Intense Aeolian-Dorian
! colspan="13" |Mixolydian
! colspan="3" |Dorian
! colspan="3" rowspan="3" |Mixolydian-Ionian
! rowspan="3" |Dorian-Mixolydian
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
|-
! rowspan="2" |Subpental
! colspan="3" rowspan="2" |Subpental
! rowspan="2" |Pental
! colspan="4" rowspan="2" |Pental
! rowspan="2" |Superpental
! colspan="6" |Superpental
! rowspan="2" |Subpental
! rowspan="2" |Pental
! colspan="2" |Superpental
|-
|-
!Soft
! colspan="3" |Soft
!Intense
! colspan="3" |Intense
|-
!Minimum
!Golden±13¢
!Maximum
! |Minimum
!Golden±13¢
!5/2±13¢
!Maximum
!Minimum
!Golden±13¢
!Maximum
!Minimum
!Golden±13¢
!Maximum
!Minimum
!Golden±13¢
! |Maximum
|-
|-
| |1
| |1
| colspan="2" |Gb
| colspan="2" |Gb
| |76.15-77.5185
|82.105
|76.887-78.255
|79.435-80.804
|79.93-81.2985
|81.149-82.517
|81.9905-83.359
|81.9905-83.359
| colspan="2" |82.895
|82.347-83.716
|82.347-83.716
|82.806-84.174
| colspan="2" |84.2105
|84.209-85.557
|84.209-85.557
| colspan="2" |84.9365
|85.598-86.967
|85.598-86.967
| colspan="2" |87.114
|86.556-87.924
|86.556-87.924
| |88.421
|-
|-
| |2
| |2
| colspan="2" |F#
| colspan="2" |F#
| |152.3-155.037
|164.2105
|153.774-156.5105
|158.87-161.607
|159.86-162.597
|162.297-165.034
|163.981-166.718
|163.981-166.718
| colspan="2" |165.7895
|164.694-167.431
|164.694-167.431
|165.612-168.349
| colspan="2" |168.421
|168.417-171.154
|168.417-171.154
| colspan="2" |169.873
|171.1965-173.933
|171.1965-173.933
| colspan="2" |174.229
|173.112-175.849
|173.112-175.849
| |176.842
|-
|-
| |3
| |3
| colspan="2" |G
| colspan="2" |G
| |228.45-232.555
|246.316
|230.6605-234.766
|238.3055-242.411
|239.79-243.896
|243.446-247.551
|245.971-250.077
|245.971-250.077
| colspan="2" |248.684
|247.0415-251.147
|247.0415-251.147
|248.418-252.523
| colspan="2" |252.632
|252.626-256.731
|252.626-256.731
| colspan="2" |254.809
|256.795-260.9
|256.795-260.9
| colspan="2" |261.343
|259.668-263.773
|259.668-263.773
| |265.263
|-
|-
| |4
| |4
|J
|J
|''A''
|''A''
| |304.6-310.074
|328.421
|307.547-313.021
|317.741-323.214
|319.72-325.164
|324.594-330.068
|327.962-333.436
|327.962-333.436
| colspan="2" |331.579
|329.389-334.862
|329.389-334.862
|331.224-336.698
| colspan="2" |336.842
|336.835-342.308
|336.835-342.308
| colspan="2" |339.746
|342.393-347.867
|342.393-347.867
| colspan="2" |348.457
|346.224-351.6975
|346.224-351.6975
| |353.684
|-
|-
| |5
| |5
|Ab
|Ab
|''Bb''
|''Bb''
| |380.75-387.592
|410.526
|384.434-391.276
|397.176-404.018
|399.6505-406.493
|405.743-412.585
|409.953-416.795
|409.953-416.795
| colspan="2" |414.474
|411.736-418.578
|411.736-418.578
|414.03-420.872
| colspan="2" |421.053
|421.043-427.885
|421.043-427.885
| colspan="2" |424.682
|427.991-434.833
|427.991-434.833
| colspan="2" |435.527
|432.78-439.622
|432.78-439.622
| |442.105
|-
|-
| |6
| |6
|J#
|J#
|''A#''
|''A#''
| |456.9-465.111
|492.632
|461.321-469.5315
|476.611-484.8215
|479.581-487.791
|486.8915-495.102
|491.943-500.154
|491.943-500.154
| colspan="2" |497.368
|494.083-502.2935
|494.083-502.2935
|496.835-505.046
| colspan="2" |505.263
|505.252-513.462
|505.252-513.462
| colspan="2" |509.619
|513.59-521.8
|513.59-521.8
| colspan="2" |522.686
|519.336-527.546
|519.336-527.546
| |530.526
|-
|-
| |7
| |7
|A
|A
|''B''
|''B''
| |533.05-542.926
|574.737
|538.208-547.787
|556.046-565.625
|559.511-569.09
|568.04-577.619
|573.934-583.513
|573.934-583.513
| colspan="2" |580.263
|576.43-586.001
|576.43-586.001
|579.342-589.221
| colspan="2" |589.474
|589.4605-599.0395
|589.4605-599.0395
| colspan="2" |594.555
|599.188-608.767
|599.188-608.767
| colspan="2" |609.8
|605.892-615.471
|605.892-615.471
| |618.947
|-
|-
|8
|8
|B
|B
|''H''
|''H''
|609.2-620.148
|656.842
|615.095-626.042
|635.481-648.429
|639.441-650.388
|649.189-660.136
|655.924-666.872
|655.924-666.872
| colspan="2" |663.158
|658.777-669.725
|658.777-669.725
|662.448-673.395
| colspan="2" |673.684
|673.669-684.6165
|673.669-684.6165
| colspan="2" |679.491
|684.786-694.733
|684.786-694.733
| colspan="2" |696.915
|692.448-703.395
|692.448-703.395
|707.368
|-
|-
|9
|9
|Hb
|Hb
|''Cb''
|''Cb''
|685.35-697.666
|738.947
|691.981-704.297
|714.9165-727.232
|719.371-731.687
|730.337-742.653
|737.915-750.231
|737.915-750.231
| colspan="2" |746.053
|741.1245-752.44
|741.1245-752.44
|745.254-757.57
| colspan="2" |757.895
|757.878-770.194
|757.878-770.194
| colspan="2" |764.418
|770.384-782.7
|770.384-782.7
| colspan="2" |784.029
|779.004-791.31+
|779.004-791.31+
|795.7895
|-
|-
|10
|10
|B#
|B#
|''H#''
|''H#''
|761.5-775.185
|821.053
|768.868-782.5525
|794.352-808.036
|799.301-812.985
|811.486-825.17
|819.9055-833.59
|819.9055-833.59
| colspan="2" |828.947
|834.451-837.156
|834.451-837.156
|828.06-841.744
| colspan="2" |842.105
|842.086-855.771
|842.086-855.771
| colspan="2" |849.365
|855.983-879.244
|855.983-879.244
| colspan="2" |871.143
|865.56-881.262
|865.56-881.262
|884.2105
|-
|-
|11
|11
|H
|H
|''C''
|''C''
|837.6505-852.703
|903.158
|845.755-860.808
|873.787-888.8395
|879.231-894.284
|892.6345-907.687
|901.896-916.949
|901.896-916.949
| colspan="2" |911.843
|905.819-917.156
|905.819-917.156
|910.866-925.9185
| colspan="2" |926.316
|926.295-941.348
|926.295-941.348
| colspan="2" |934.302
|941.581-956.6335
|941.581-956.6335
| colspan="2" |958.258
|952.1155-967.168
|952.1155-967.168
|972.632
|-
|-
|12
|12
|C
|C
|''D''
|''D''
|913.8005-930.222
|985.263
|922.642-939.063
|953.222-969.643
|959.161-975.582.
|973.783-990.304
|983.887-1000.308
|983.887-1000.308
| colspan="2" |994.737
|988.166-1000.8715
|988.166-1000.8715
|993.672-1010.093
| colspan="2" |1010.526
|1010.503-1026.925
|1010.503-1026.925
| colspan="2" |1019.238
|1027.179-1043.6
|1027.179-1043.6
| colspan="2" |1045.372
|1038.6715-1055.093
|1038.6715-1055.093
|1061.053
|-
|-
|13
|13
|Db
|Db
|''Sb''
|''Sb''
|989.951-1007.74
|1067.368
|999.529-1017.318
|1032.657-1050.447
|1039.091-1056.881
|1054.932-1072.721
|1065.877-1083.667
|1065.877-1083.667
| colspan="2" |1077.612
|1070.513-1084.587
|1070.513-1084.587
|1076.478-1094.267
| colspan="2" |1094.737
|1094.712-1112.502
|1094.712-1112.502
| colspan="2" |1104.172
|1112.777-1130.567
|1112.777-1130.567
| colspan="2" |1132.486
|1125.2275-1143.017
|1125.2275-1143.017
|1149.474
|-
|-
|14
|14
|C#
|C#
|''D#''
|''D#''
|1066.101-1085.2585
|1149.474
|1076.416-1095.5735
|1112.092-1131.25
|1119.021-1138.179
|1136.08-1152.238
|1147.868-1167.026
|1147.868-1167.026
| colspan="2" |1160.526
|1152.86-1168.303
|1152.86-1168.303
|1159.284-1178.442
| colspan="2" |1178.947
|1178.921-1198.079
|1178.921-1198.079
| colspan="2" |1189.111
|1198.376-1217.5335
|1198.376-1217.5335
| colspan="2" |1220.601
|1211.783-1230.941
|1211.783-1230.941
|1237.895
|-
|-
|15
|15
|D
|D
|''S''
|''S''
|1142.251-1162.777
|1231.579
|1153.302-1173.829
|1191.5275-1212.054
|1198.9515-1219.478
|1217.229-1237.755
|1229.858-1250.3845
|1229.858-1250.3845
| colspan="2" |1243.421
|1235.2075-1252.018
|1235.2075-1252.018
|1242.09-1262.616
| colspan="2" |1263.158
|1263.13-1283.656
|1263.13-1283.656
| colspan="2" |1274.047
|1283.974-1304.5
|1283.974-1304.5
| colspan="2" |1306.715
|1298.339-1318.451
|1298.339-1318.451
|1326.316
|-
|-
|16
|16
| colspan="2" |Eb
| colspan="2" |Eb
|1218.401-1240.295
|1313.684
|1230.159-1525.054
|1270.963-1292.857
|1279.882-1300.776
|1298.377-1320.272
|1311.849-1333.743
|1311.849-1333.743
| colspan="2" |1326.316
|1317.555-1339.734
|1317.555-1339.734
|1324.896-1346.7905
| colspan="2" |1347.378
|1347.338-1369.233
|1347.338-1369.233
| colspan="2" |1359.984
|1369.572-1389.467
|1369.572-1389.467
| colspan="2" |1393.829
|1384.895-1406.79
|1384.895-1406.79
|1414.737
|-
|-
|17
|17
|D#
|D#
|''S#''
|''S#''
|1294.551-1317.814
|1395.7895
|1307.0769-1330.339
|1350.298-1373.661
|1358.612-1382.075
|1379.526-1402.789
|1393.839-1417.1025
|1393.839-1417.1025
| colspan="2" |1408.2105
|1399.912-1423.165
|1399.912-1423.165
|1407.702-1430.965
| colspan="2" |1431.579
|1431.547-1454.81
|1431.547-1454.81
| colspan="2" |1443.98
|1455.17-1478.434
|1455.17-1478.434
| colspan="2" |1480.944
|1471.451-1494.7145
|1471.451-1494.7145
|1503.158
|-
|-
|18
|18
| colspan="2" |E
| colspan="2" |E
|1370.701-1395.332
|1477.895
|1383.963-1408.594
|1429.833-1454.465
|1438.742-1463.373
|1460.675-1485.306
|1475.83-1500.461
|1475.83-1500.461
| colspan="2" |1491.105
|1399.902-1499.446
|1399.902-1499.446
|1490.507-1515.139
| colspan="2" |1515.7895
|1515.756-1540.387
|1515.756-1540.387
| colspan="2" |1526.8275
|1540.769-1565.4
|1540.769-1565.4
| colspan="2" |1568.058
|1558.007-1582.639
|1558.007-1582.639
|1591.579
|-
|-
|19
|19
| colspan="2" |F
| colspan="2" |F
|1446.851-1472.851
|1560
|1460.85-1486.85
|1509.268-1535.268
|1518.672-1544.672
|1541.823-1567.823
|1557.82-1583.82
|1557.82-1583.82
| colspan="2" |1575
|1564.596-1590.596
|1564.596-1590.596
|1573.314-1599.314
| colspan="2" |1600
|1599.964-1625.964
|1599.964-1625.964
| colspan="2" |1613.793
|1626.366-1652.366
|1626.366-1652.366
| colspan="2" |1655.172
|1644.563-1670.563
|1644.563-1670.563
|1680
|}
|}
[[Category:EdX]]
[[Category:EdX]]

Revision as of 23:01, 22 December 2018

Explanation needed for what this is. See edX maybe?

Intervals

Degrees Enneatonic Intense Aeolian-Subpental Dorian Dorian
Subpental
Min Golden±13¢ Max Min 7/3±13¢ Golden±13¢ Max Min Golden±13¢ Max Min Golden±13¢ Max
1 Jb Ab 75.7895 76.15-77.5185 77.193 76.5195-77.888 76.887-78.255 78.947 79.435-80.804 80.383 79.93-81.2985 81.203
2 G# 151.579 152.3-155.037 154.386 153.039-155.776 153.774-156.5105 157.895 158.87-161.607 160.766 159.86-162.597 162.406
3 J A 227.368 228.45-232.555 231.579 229.559-233.664 230.6605-234.766 236.842 238.3055-242.411 241.148 239.79-243.896 243.609
4 A B 303.158 304.6-310.074 308.772 306.078-311.552 307.547-313.021 315.7895 317.741-323.214 321.531 319.72-325.164 324.812
5 Bb Cb 378.947 380.75-387.592 385.965 382.598-389.44 384.434-391.276 394.737 397.176-404.018 401.914 399.6505-406.493 406.015
6 A# B# 454.737 456.9-465.111 463.158 459.117-467.328 461.321-469.5315 473.684 476.611-484.8215 482.297 479.581-487.791 487.218
7 B C 530.526 533.05-542.926 540.351 535.637-545.216 538.208-547.787 552.632 556.046-565.625 592.679 559.511-569.09 568.421
8 C Q 606.316 609.2-620.148 617.544 612.156-623.1035 615.095-626.042 631.579 635.481-648.429 643.062 639.441-650.388 647.624
9 Qb Db 682.105 685.35-697.666 694.737 688.676-700.9915 691.981-704.297 710.526 714.9165-727.232 723.445 719.371-731.687 730.827
10 C# Q# 757.895 761.5-775.185 771.93 765.195-778.879 768.868-782.5525 789.474 794.352-808.036 803.828 799.301-812.985 812.03
11 Q D 833.654 837.6505-852.703 849.123 841.715-856.767. 845.755-860.808 868.421 873.787-888.8395 884.2105 879.231-894.284 893.233
12 D S 909.474 913.8005-930.222 926.326 918.234-934.655 922.642-939.063 947.378 953.222-969.643 964.593 959.161-975.582. 974.436
13 Eb 985.263 989.951-1007.74 1003.509 994.754-1012.543 999.529-1017.318 1026.316 1032.657-1050.447 1044.976 1039.091-1056.881 1055.639
14 D# S# 1061.053 1066.101-1085.2585 1080.702 1071.273-1090.431 1076.416-1095.5735 1105.263 1112.092-1131.25 1125.359 1119.021-1138.179 1136.842
15 E 1136.842 1142.251-1162.777 1107.895 1147.793-1168.319 1153.302-1173.829 1184.2105 1191.5275-1212.054 1205.742 1198.9515-1219.478 1218.045
16 Fb 1212.632 1218.401-1240.295 1235.088 1224.312-1266.207 1230.159-1525.054 1363.156 1270.963-1292.857 1286.124 1279.882-1300.776 1299.248
17 E# 1288.421 1294.551-1317.814 1312.181 1300.832--1324.095 1307.0769-1330.339 1042.105 1350.298-1373.661 1366.507 1358.612-1382.075 1380.451
18 F 1364.2105 1370.701-1395.332 1389.474 1377.351-1401.983 1383.963-1408.594 1421.053 1429.833-1454.465 1446.89 1438.742-1463.373 1461.654
19 G 1440 1446.851-1472.851 1466.667 1453.871-1479.871 1460.85-1486.85 1500 1509.268-1535.268 1527.273 1518.672-1544.672 1542.857
Degrees Enneatonic Min 22/9±13¢ Golden±13¢ Max
1 Gb Jb Ab 81.203 80.758-82.127 81.149-82.517 82.105
2 F# G# 162.406 161.517-164.2535 162.297-165.034 164.2105
3 G J A 243.609 242.275-246.38 243.446-247.551 246.316
4 J A A B 324.812 323.033-328.507 324.594-330.068 328.421
5 Ab Bb Bb Cb 406.015 403.792-410.634 405.743-412.585 410.526
6 J# A# A# B# 487.218 484.55-492.76 486.8915-495.102 492.632
7 A B B C 568.421 565.308-574.887 568.04-577.619 574.737
8 B H C Q 647.624 646.0665-657.014 649.189-660.136 656.842
9 Hb Cb Qb Db 730.827 726.825-739.141 730.337-742.653 738.947
10 B# H# C# Q# 812.03 807.583-821.267 811.486-825.17 821.053
11 H C Q D 893.233 888.341-903.394 892.6345-907.687 903.158
12 C D D S 974.436 969.1-985.52 973.783-990.304 985.263
13 Db Sb Eb 1055.639 1049.858-1067.6475 1054.932-1072.721 1067.368
14 C# D# D# S# 1136.842 1130.616-1149.774 1136.08-1152.238 1149.474
15 D S E 1218.045 1211.375-1231.901 1217.229-1237.755 1231.579
16 Eb Fb 1299.248 1292.133-1314.028 1298.377-1320.272 1313.684
17 D# S# E# 1380.451 1372.891-1396.1545 1379.526-1402.789 1395.7895
18 E F 1461.654 1453.65-1478.281 1460.675-1485.306 1477.895
19 F G 1542.857 1534.408-1560.408 1541.823-1567.823 1560
Degrees Enneatonic Major mode Middletown temperament
Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
Minimum Golden±13¢ Maximum Minimum Golden±13¢ 5/2±13¢ Maximum Minimum Golden±13¢ Maximum Minimum Golden±13¢ Maximum Minimum Golden±13¢ Maximum
1 Gb 82.105 81.9905-83.359 82.895 82.347-83.716 82.806-84.174 84.2105 84.209-85.557 84.9365 85.598-86.967 87.114 86.556-87.924 88.421
2 F# 164.2105 163.981-166.718 165.7895 164.694-167.431 165.612-168.349 168.421 168.417-171.154 169.873 171.1965-173.933 174.229 173.112-175.849 176.842
3 G 246.316 245.971-250.077 248.684 247.0415-251.147 248.418-252.523 252.632 252.626-256.731 254.809 256.795-260.9 261.343 259.668-263.773 265.263
4 J A 328.421 327.962-333.436 331.579 329.389-334.862 331.224-336.698 336.842 336.835-342.308 339.746 342.393-347.867 348.457 346.224-351.6975 353.684
5 Ab Bb 410.526 409.953-416.795 414.474 411.736-418.578 414.03-420.872 421.053 421.043-427.885 424.682 427.991-434.833 435.527 432.78-439.622 442.105
6 J# A# 492.632 491.943-500.154 497.368 494.083-502.2935 496.835-505.046 505.263 505.252-513.462 509.619 513.59-521.8 522.686 519.336-527.546 530.526
7 A B 574.737 573.934-583.513 580.263 576.43-586.001 579.342-589.221 589.474 589.4605-599.0395 594.555 599.188-608.767 609.8 605.892-615.471 618.947
8 B H 656.842 655.924-666.872 663.158 658.777-669.725 662.448-673.395 673.684 673.669-684.6165 679.491 684.786-694.733 696.915 692.448-703.395 707.368
9 Hb Cb 738.947 737.915-750.231 746.053 741.1245-752.44 745.254-757.57 757.895 757.878-770.194 764.418 770.384-782.7 784.029 779.004-791.31+ 795.7895
10 B# H# 821.053 819.9055-833.59 828.947 834.451-837.156 828.06-841.744 842.105 842.086-855.771 849.365 855.983-879.244 871.143 865.56-881.262 884.2105
11 H C 903.158 901.896-916.949 911.843 905.819-917.156 910.866-925.9185 926.316 926.295-941.348 934.302 941.581-956.6335 958.258 952.1155-967.168 972.632
12 C D 985.263 983.887-1000.308 994.737 988.166-1000.8715 993.672-1010.093 1010.526 1010.503-1026.925 1019.238 1027.179-1043.6 1045.372 1038.6715-1055.093 1061.053
13 Db Sb 1067.368 1065.877-1083.667 1077.612 1070.513-1084.587 1076.478-1094.267 1094.737 1094.712-1112.502 1104.172 1112.777-1130.567 1132.486 1125.2275-1143.017 1149.474
14 C# D# 1149.474 1147.868-1167.026 1160.526 1152.86-1168.303 1159.284-1178.442 1178.947 1178.921-1198.079 1189.111 1198.376-1217.5335 1220.601 1211.783-1230.941 1237.895
15 D S 1231.579 1229.858-1250.3845 1243.421 1235.2075-1252.018 1242.09-1262.616 1263.158 1263.13-1283.656 1274.047 1283.974-1304.5 1306.715 1298.339-1318.451 1326.316
16 Eb 1313.684 1311.849-1333.743 1326.316 1317.555-1339.734 1324.896-1346.7905 1347.378 1347.338-1369.233 1359.984 1369.572-1389.467 1393.829 1384.895-1406.79 1414.737
17 D# S# 1395.7895 1393.839-1417.1025 1408.2105 1399.912-1423.165 1407.702-1430.965 1431.579 1431.547-1454.81 1443.98 1455.17-1478.434 1480.944 1471.451-1494.7145 1503.158
18 E 1477.895 1475.83-1500.461 1491.105 1399.902-1499.446 1490.507-1515.139 1515.7895 1515.756-1540.387 1526.8275 1540.769-1565.4 1568.058 1558.007-1582.639 1591.579
19 F 1560 1557.82-1583.82 1575 1564.596-1590.596 1573.314-1599.314 1600 1599.964-1625.964 1613.793 1626.366-1652.366 1655.172 1644.563-1670.563 1680
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