User:Moremajorthanmajor/17edX: Difference between revisions

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==Intervals==
==Intervals==
{| class="wikitable"
{| class="wikitable" style="text-align: center"
! rowspan="5" |Degrees
! rowspan="3" |Degrees
! colspan="4" rowspan="5" |Enneatonic
! colspan="4" 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="4" |Subpental
! colspan="6" |Dorian
! colspan="3" |Pental
! colspan="2" rowspan="3" |Dorian-Mixolydian
! colspan="3" |Superpental
! 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
|J
|-
|''A''
! |Minimum
|Jb
! |Maximum
|''Ab''
!Minimum
|84.706
!Maximum
|85.109-86.638
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! |Maximum
!Minimum
!Maximum
! |Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! |Maximum
|-
| |1
| colspan="2" |G
| colspan="2" |Gb
| |84.706
| colspan="2" |86.2745
| colspan="2" |86.2745
|85.522-87.051
|85.932-87.462
| colspan="2" |88.235
| colspan="2" |88.235
|88.7805-90.6955
| colspan="2" |89.84
| colspan="2" |89.84
| colspan="2" |90.756
|89.334-90.863
| colspan="2" |91.765
|90.756
| colspan="2" |92.647
| colspan="2" |94.118
| colspan="2" |94.929
| colspan="2" |97.363
| |98.8235
|-
|-
| |2
|2
|J\\
|A\\
|''A\\''
|''B\\''
| colspan="2" |F#
| colspan="2" |G#
| |169.412
|169.412
|170.218-173.277
| colspan="2" |172.549
| colspan="2" |172.549
|171-044-174.1025
|171.865-174.9235
| colspan="2" |176.471
| colspan="2" |176.471
|177.561-180.62
| colspan="2" |179.679
| colspan="2" |179.679
| colspan="2" |181.513
|178.667-181.726
| colspan="2" |183.528
|181.513
| colspan="2" |185.294
| colspan="2" |188.235
| colspan="2" |189.858
| colspan="2" |194.726
| |197.647
|-
|-
| |3
|3
| colspan="2" |Gp
|Jp
| colspan="2" |G
|''Ap''
| |254.118
|J
|''A''
|254.118
|255.327-259.915
| colspan="2" |258.8235
| colspan="2" |258.8235
|256.5655-261.154
|257.797-262.385
| colspan="2" |264.706
| colspan="2" |264.706
|266.341-270.93
| colspan="2" |269.519
| colspan="2" |269.519
| colspan="2" |272.268
|268.001-272.589
| colspan="2" |275.294
|272.268
| colspan="2" |277.941
| colspan="2" |282.353
| colspan="2" |284.787
| colspan="2" |292.089
| |296.471
|-
|-
| |4
|4
|J
|J
|''B''
|A
|A
|J
|''B''
|''A''
|338.8235
| |338.8235
|340.4355-346.553
| colspan="2" |345.098
| colspan="2" |345.098
|342.087-348.205
|343.729-349.847
| colspan="2" |352.941
| colspan="2" |352.941
|355.122-361.2395
| colspan="2" |359.358
| colspan="2" |359.358
| colspan="2" |363.025
|357.335-363.452
| colspan="2" |367.059
|363.025
| colspan="2" |370.588
| colspan="2" |376.471
| colspan="2" |379.716
| colspan="2" |389.452
| |395.294
|-
|-
| |5
|5
|A
|B
|''B''
|''C''
|Ab
|Bb
|''Bb''
|''Cb''
| |423.529
|423.529
|425.544-433.1915
| colspan="2" |431.3725
| colspan="2" |431.3725
|427.609-435.256
|429.662-437.309
| colspan="2" |441.1765
| colspan="2" |441.1765
|442.902-451.5495
| colspan="2" |449.198
| colspan="2" |449.198
| colspan="2" |453.7815
|446.668-454.315
| colspan="2" |458.8235
|453.7815
| colspan="2" |463.235
| colspan="2" |470.588
| colspan="2" |474.645
| colspan="2" |486.815
| |494.118
|-
|-
| |6
|6
|B\\
|C\\
|''H\\''
|''Q\\''
|J#
|A#
|''A#''
|''B#''
| |508.235
|508.235
|510.653-519.83
| colspan="2" |517.647
| colspan="2" |517.647
|513.131-522.307
|515.594-524.7705
| colspan="2" |529.412
| colspan="2" |529.412
|532.683-541.859
| colspan="2" |539.037
| colspan="2" |539.037
| colspan="2" |544.538
|536.002-545.178
| colspan="2" |550.588
|544.538
| colspan="2" |555.882
| colspan="2" |564.706
| colspan="2" |569.574
| colspan="2" |584.1785
| |592.941
|-
|-
| |7
|7
|Ap
|Bp
|''Bp''
|''Cp''
|A
|B
|''B''
|''C''
| |592.941
|592.941
|595.762-606.468
| colspan="2" |603.921
| colspan="2" |603.921
|598.653-609.359
|601.526-612.232
| colspan="2" |617.647
| colspan="2" |617.647
|621.463-632.169
| colspan="2" |628.877
| colspan="2" |628.877
| colspan="2" |635.394
|625.3355-636.041
| colspan="2" |642.353
|635.394
| colspan="2" |648.529
| colspan="2" |658.8235
| colspan="2" |664.503
| colspan="2" |681.542
| |691.765
|-
|-
|8
|8
|B
|C
|''H''
|''Q''
|B
|C
|''H''
|''Q''
|677.647
|677.647
|680.871-693.106
| colspan="2" |690.169
| colspan="2" |690.169
|684.1745-696.41.
|687.459-699.694
| colspan="2" |705.882
| colspan="2" |705.882
|710.244-722.479
| colspan="2" |718.717
| colspan="2" |718.717
| colspan="2" |726.05
|714.996-726.904
| colspan="2" |734.118
|726.05
| colspan="2" |741.1765
| colspan="2" |752.941
| colspan="2" |759.432
| colspan="2" |778.905
|790.588
|-
|-
|9
|9
|H
|Q
|''C''
|''D''
|Hb
|Qb
|''Cb''
|Db
|762.653
|762.653
|765.98-779.745
| colspan="2" |776.471
| colspan="2" |776.471
|769.696-783.461
|773.391-787.156
| colspan="2" |794.118
| colspan="2" |794.118
|799.024-812.789
| colspan="2" |808.556
| colspan="2" |808.556
| colspan="2" |816.806
|804.003-817.768
| colspan="2" |825.882
|816.806
| colspan="2" |833.8235
| colspan="2" |847.059
| colspan="2" |854.361
| colspan="2" |876.268
|889.412
|-
|-
|10
|10
|C\\
|D\\
|''D\\''
|''Q\\''
|B#
|C#
|''H#''
|Q#
|847.059
|847.059
|851.089-866.383
| colspan="2" |862.745
| colspan="2" |862.745
|855.218-870.512
|859.323-874.6175
| colspan="2" |882.353
| colspan="2" |882.353
|887.805-903.099
| colspan="2" |898.396
| colspan="2" |898.396
| colspan="2" |907.563
|893.336-999.4935
| colspan="2" |917.647
|907.563
| colspan="2" |926.471
| colspan="2" |941.1765
| colspan="2" |949.29
| colspan="2" |973.631
|988.235
|-
|-
|11
|11
|Hp
|Qp
|''Cp''
|''Dp''
|H
|Q
|''C''
|''D''
|931.765
|931.765
|936.198-953.021
| colspan="2" |949.02
| colspan="2" |949.02
|940.74-957.5635
|945.256-962.079
| colspan="2" |970.588
| colspan="2" |970.588
|976.585-993.409
| colspan="2" |988.235
| colspan="2" |988.235
| colspan="2" |998.319
|982.67-1090.357
| colspan="2" |1009.412
|998.319
| colspan="2" |1019.118
| colspan="2" |1035.294
| colspan="2" |1044.219
| colspan="2" |1070.994
|1087.059
|-
|-
|12
|12
|C
| colspan="2" |D
|''D''
|D
|C
|''S''
|''D''
|1016.471
|1016.471
|1021.3065-1039.66
| colspan="2" |1035.294
| colspan="2" |1035.294
|1026.262-1044.615
|1031.188-1049.541
| colspan="2" |1058.8235
| colspan="2" |1058.8235
|1065.366-1083.719
| colspan="2" |1078.075
| colspan="2" |1078.075
| colspan="2" |1089.076
|1072.004-1181.22
| colspan="2" |1101.1765
|1089.076
| colspan="2" |1111.765
| colspan="2" |1129.412
| colspan="2" |1139.148
| colspan="2" |1168.357
|1185.882
|-
|-
|13
|13
|D
|E
|''S''
|''S''
|Db
| colspan="2" |Eb
|''Sb''
|1101.1765
|1101.1765
|1106.415-1186.94
| colspan="2" |1121.569
| colspan="2" |1121.569
|1111.7847-1131.666
|1117.12-1137.003
| colspan="2" |1147.059
| colspan="2" |1147.059
|1154.146-1174.029.
| colspan="2" |1167.914
| colspan="2" |1167.914
| colspan="2" |1179.832
|1161.337-1272.083
| colspan="2" |1192.941
|1179.832
| colspan="2" |1204.412
| colspan="2" |1223.529
| colspan="2" |1234.077
| colspan="2" |1265.72
|1284.706
|-
|-
|14
|14
| colspan="2" |E
| colspan="2" |F
|C#
|D#
|''D#''
|''S#''
|1185.882
|1185.882
|1191.524-1212.936
| colspan="2" |1027.843
| colspan="2" |1027.843
|1197.3055-1218.717
|1203.052-1224.464
| colspan="2" |1235.294
| colspan="2" |1235.294
|1242.927-1264.3385
| colspan="2" |1257.754
| colspan="2" |1257.754
| colspan="2" |1270.588
|1250.671-1362.946
| colspan="2" |1284.706
|1270.588
| colspan="2" |1297.059
| colspan="2" |1317.647
| colspan="2" |1329.006
| colspan="2" |1363.083
|1383.529
|-
|-
|15
|15
| colspan="2" |F\\
| colspan="2" |G\\
|D
| colspan="2" |E
|''S''
|1270.588
|1270.588
|1276.633-1299.5745
| colspan="2" |1294.118
| colspan="2" |1294.118
|1282.827-1305.768
|1288.985-1311.926
| colspan="2" |1323.529
| colspan="2" |1323.529
|1331.707-1354.648
| colspan="2" |1347.594
| colspan="2" |1347.594
| colspan="2" |1361.3445
|1340.005-1453.809
| colspan="2" |1376.471
|1361.3445
| colspan="2" |1389.706
| colspan="2" |1411.765
| colspan="2" |1423.935
| colspan="2" |1460.446
|1482.352
|-
|-
|16
|16
| colspan="2" |Ep
| colspan="2" |Fp
| colspan="2" |E
| colspan="2" |F
|1355.294
|1355.294
|1361.741-1386.213
| colspan="2" |1380.392
| colspan="2" |1380.392
|1368.249-1392.82
|1374.917-1399.388
| colspan="2" |1411.765
| colspan="2" |1411.765
|1420.488-1424.958
| colspan="2" |1437.433
| colspan="2" |1437.433
| colspan="2" |1452.101
|1426.338-1453.809
| colspan="2" |1468.235
|1452.101
| colspan="2" |1482.353
| colspan="2" |1505.882
| colspan="2" |1518.864
| colspan="2" |1557.809
|1581.1765
|-
|-
|17
|17
| colspan="4" |F
| colspan="4" |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="8" |Enneatonic
|1680
!Min
|}Most harmonic tunings
{| class="wikitable"
|-
! rowspan="2" |Degrees
! colspan="4" 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" |G
| colspan="2" |G
| colspan="2" |Gb
| colspan="2" |Gb
|85.522-87.051
|J
|''A''
|Jb
|''Ab''
|90.756
|90.259-91.789
|90.259-91.789
|92.548-94.077
|90.6955-92.225
|91.765
|-
|-
| |2
|2
|J\\
|J\\
|''A\\''
|''A\\''
| colspan="2" |F#
| colspan="2" |F#
|171-044-174.1025
|A\\
|''B\\''
| colspan="2" |G#
|181.513
|180.5185-183.577
|180.5185-183.577
|185.096-188.155
|181.391-184.45
|183.528
|-
|-
|3
|3
| colspan="2" |Gp
| colspan="2" |Gp
| colspan="2" |G
| colspan="2" |G
|256.5655-261.154
|Jp
|''Ap''
|J
|''A''
|272.268
|270.778-275.366
|270.778-275.366
|277.644-282.232
|272.086-276.675
|275.294
|-
|-
| |4
|4
|J
|J
|A
|A
|J
|J
|''A''
|''A''
|342.087-348.205
|J
|''B''
|A
|''B''
|363.025
|361.037-367.155
|361.037-367.155
|370.1915-376.309
|362.782-368.9
|367.059
|-
|-
|5
|5
Line 369: Line 348:
|Ab
|Ab
|''Bb''
|''Bb''
|427.609-435.256
|B
|''C''
|Bb
|''Cb''
|453.7815
|451.2965-458.9435
|451.2965-458.9435
|462.739-470.386
|453.477-461.1245
|458.8235
|-
|-
| |6
|6
|B\\
|B\\
|''H\\''
|''H\\''
|J#
|J#
|''A#''
|''A#''
|513.131-522.307
|C\\
|''Q\\''
|A#
|''B#''
|544.538
|541.556-550.732
|541.556-550.732
|555.287-564.464
|544.173-553.349
|550.588
|-
|-
|7
|7
Line 387: Line 376:
|A
|A
|''B''
|''B''
|598.653-609.359
|Bp
|''Cp''
|B
|''C''
|635.394
|631.815-642.521
|631.815-642.521
|647.835-658.541
|634.869-645.574
|642.353
|-
|-
| |8
|8
|B
|B
|''H''
|''H''
|B
|B
|''H''
|''H''
|684.1745-696.41.
|C
|''Q''
|C
|''Q''
|726.05
|722.074-734.31
|722.074-734.31
|740.383-752.618
|725.564-737.8
|734.118
|-
|-
|9
|9
Line 405: Line 404:
|Hb
|Hb
|''Cb''
|''Cb''
|769.696-783.461
|Q
|''D''
|Qb
|Db
|816.806
|812.334-826.098
|812.334-826.098
|832.931-846.6955
|816.259-830.014
|825.882
|-
|-
| |10
|10
|C\\
|C\\
|''D\\''
|''D\\''
|B#
|B#
|''H#''
|''H#''
|855.218-870.512
|D\\
|''Q\\''
|C#
|Q#
|907.563
|902.593-917.887
|902.593-917.887
|925.479-940.773
|906.955-922.249
|917.647
|-
|-
|11
|11
Line 423: Line 432:
|H
|H
|''C''
|''C''
|940.74-957.5635
|Qp
|''Dp''
|Q
|''D''
|998.319
|992.852.1009.676
|992.852.1009.676
|1018.0265-1034.85
|997.65-1014.474
|1009.412
|-
|-
| |12
|12
|C
|C
|''D''
|''D''
|C
|C
|''D''
|''D''
|1026.262-1044.615
| colspan="2" |D
|D
|''S''
|1089.076
|1083.1115-1101.464
|1083.1115-1101.464
|1110.574-1128.927
|1088.346-1106.699
|1101.1765
|-
|-
|13
|13
Line 441: Line 459:
|Db
|Db
|''Sb''
|''Sb''
|1111.7847-1131.666
|E
|''S''
| colspan="2" |Eb
|1179.832
|1173.371-1193.253
|1173.371-1193.253
|1203.122-1223.005
|1179.041-1198.924
|1192.941
|-
|-
| |14
|14
| colspan="2" |E
| colspan="2" |E
|C#
|C#
|''D#''
|''D#''
|1197.3055-1218.717
| colspan="2" |F
|D#
|''S#''
|1270.588
|1353.889-1375.042
|1353.889-1375.042
|1295.67-1317.082
|1269.737-1291.1485
|1284.706
|-
|-
|15
|15
Line 457: Line 483:
|D
|D
|''S''
|''S''
|1282.827-1305.768
| colspan="2" |G\\
| colspan="2" |E
|1361.3445
|1444.149-1466.83
|1444.149-1466.83
|1388.218-1411.159
|1360.432-1383.373
|1376.471
|-
|-
|16
|16
| colspan="2" |Ep
| colspan="2" |Ep
| colspan="2" |E
| colspan="2" |E
|1368.249-1392.82
| colspan="2" |Fp
| colspan="2" |F
|1452.101
|1534.408-1558.619
|1534.408-1558.619
|1480.766-1505.236
|1451.128-1475.598
|1468.235
|-
|-
|17
|17
| colspan="4" |F
| colspan="4" |F
|1453.871-1479.871
| colspan="4" |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="4" |Degrees
! colspan="4" rowspan="4" |Enneatonic
! colspan="4" rowspan="4" |Enneatonic
! colspan="4" |Minor mode Middletown temperament
! colspan="13" |Mixolydian
!Neutral mode Middletown temperament
! colspan="3" rowspan="3" |Mixolydian-Ionian
! colspan="5" |Major mode Middletown temperament
|-
|-
! rowspan="3" |Intense Aeolian-Dorian
! colspan="3" rowspan="2" |Subpental
! colspan="3" |Dorian
! colspan="4" rowspan="2" |Pental
! rowspan="3" |Dorian-Mixolydian
! colspan="6" |Superpental
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
|-
! rowspan="2" |Subpental
! colspan="3" |Soft
! rowspan="2" |Pental
! colspan="3" |Intense
! rowspan="2" |Superpental
! rowspan="2" |Subpental
! rowspan="2" |Pental
! colspan="2" |Superpental
|-
|-
!Soft
!Minimum
!Intense
!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" |G
| colspan="2" |G
| colspan="2" |Gb
| colspan="2" |Gb
| |85.109-86.638
|91.765
|85.932-87.462
|88.7805-90.6955
|89.334-90.863
|90.6955-92.225
|92.019-93.548
|92.019-93.548
| colspan="2" |92.647
|92.035-93.5645
|92.035-93.5645
|92.548-94.077
| colspan="2" |94.118
|94.1155-95.645
|94.1155-95.645
| colspan="2" |94.929
|95.669-97.198
|95.669-97.198
| colspan="2" |97.363
|96.739-98.268
|96.739-98.268
| |98.8235
|-
|-
| |2
| |2
Line 515: Line 559:
|''A\\''
|''A\\''
| colspan="2" |F#
| colspan="2" |F#
| |170.218-173.277
|183.528
|171.865-174.9235
|177.561-180.62
|178.667-181.726
|181.391-184.45
|184.038-187.139
|184.038-187.139
| colspan="2" |185.294
|184.07-187.129
|184.07-187.129
|185.096-188.155
| colspan="2" |188.235
|188.231-191.29
|188.231-191.29
| colspan="2" |189.858
|191.337-194.396
|191.337-194.396
| colspan="2" |194.726
|193.478-196.537
|193.478-196.537
| |197.647
|-
|-
| |3
| |3
| colspan="2" |Gp
| colspan="2" |Gp
| colspan="2" |G
| colspan="2" |G
| |255.327-259.915
|275.294
|257.797-262.385
|266.341-270.93
|268.001-272.589
|272.086-276.675
|276.0565-280.645
|276.0565-280.645
| colspan="2" |277.941
|276.105-280.693
|276.105-280.693
|277.644-282.232
| colspan="2" |282.353
|282.347-286.935
|282.347-286.935
| colspan="2" |284.787
|287.006-291.594
|287.006-291.594
| colspan="2" |292.089
|290.217-294.805
|290.217-294.805
| |296.471
|-
|-
| |4
| |4
Line 545: Line 593:
|J
|J
|''A''
|''A''
| |340.4355-346.553
|367.059
|343.729-349.847
|355.122-361.2395
|357.335-363.452
|362.782-368.9
|368.075-374.193
|368.075-374.193
| colspan="2" |370.588
|368.14-374.258
|368.14-374.258
|370.1915-376.309
| colspan="2" |376.471
|376.462-382.58
|376.462-382.58
| colspan="2" |379.716
|382.675-388.792
|382.675-388.792
| colspan="2" |389.452
|386.956-393.074
|386.956-393.074
| |395.294
|-
|-
| |5
| |5
Line 561: Line 611:
|Ab
|Ab
|''Bb''
|''Bb''
| |425.544-433.1915
|458.8235
|429.662-437.309
|442.902-451.5495
|446.668-454.315
|453.477-461.1245
|460.094-467.741
|460.094-467.741
| colspan="2" |463.235
|460.175-467.822
|460.175-467.822
|462.739-470.386
| colspan="2" |470.588
|470.578-478.225
|470.578-478.225
| colspan="2" |474.645
|478.343-485.99
|478.343-485.99
| colspan="2" |486.815
|483.695-491.342
|483.695-491.342
| |494.118
|-
|-
| |6
| |6
Line 577: Line 629:
|J#
|J#
|''A#''
|''A#''
| |510.653-519.83
|550.588
|515.594-524.7705
|532.683-541.859
|536.002-545.178
|544.173-553.349
|552.113-561.29
|552.113-561.29
| colspan="2" |555.882
|552.21-561.387
|552.21-561.387
|555.287-564.464
| colspan="2" |564.706
|564.693-573.87
|564.693-573.87
| colspan="2" |569.574
|574.012-583.188
|574.012-583.188
| colspan="2" |584.1785
|580.434-589.6105
|580.434-589.6105
| |592.941
|-
|-
| |7
| |7
Line 593: Line 647:
|A
|A
|''B''
|''B''
| |595.762-606.468
|642.353
|601.526-612.232
|621.463-632.169
|625.3355-636.041
|634.869-645.574
|644.132-654.838
|644.132-654.838
| colspan="2" |648.529
|644.2455-654.951
|644.2455-654.951
|647.835-658.541
| colspan="2" |658.8235
|658.809-669.515
|658.809-669.515
| colspan="2" |664.503
|669.6805-680.386
|669.6805-680.386
| colspan="2" |681.542
|677.173-687.879
|677.173-687.879
| |691.765
|-
|-
|8
|8
Line 609: Line 665:
|B
|B
|''H''
|''H''
|680.871-693.106
|734.118
|687.459-699.694
|710.244-722.479
|714.996-726.904
|725.564-737.8
|736.151-748.386
|736.151-748.386
| colspan="2" |741.1765
|736.281-748.516
|736.281-748.516
|740.383-752.618
| colspan="2" |752.941
|752.924-765.16
|752.924-765.16
| colspan="2" |759.432
|765.349-777.584
|765.349-777.584
| colspan="2" |778.905
|773.912-783.147
|773.912-783.147
|790.588
|-
|-
|9
|9
Line 625: Line 683:
|Hb
|Hb
|''Cb''
|''Cb''
|765.98-779.745
|825.882
|773.391-787.156
|799.024-812.789
|804.003-817.768
|816.259-830.014
|828.17-841.934
|828.17-841.934
| colspan="2" |833.8235
|828.316-842.08
|828.316-842.08
|832.931-846.6955
| colspan="2" |847.059
|847.04-860.805
|847.04-860.805
| colspan="2" |854.361
|861.018-874.7852
|861.018-874.7852
| colspan="2" |876.268
|870.416-884.416
|870.416-884.416
|889.412
|-
|-
|10
|10
Line 641: Line 701:
|B#
|B#
|''H#''
|''H#''
|851.089-866.383
|917.647
|859.323-874.6175
|887.805-903.099
|893.336-999.4935
|906.955-922.249
|920.1885-935.483
|920.1885-935.483
| colspan="2" |926.471
|920.351-935.645
|920.351-935.645
|925.479-940.773
| colspan="2" |941.1765
|941.155-956.45
|941.155-956.45
| colspan="2" |949.29
|956.6865-971.9805
|956.6865-971.9805
| colspan="2" |973.631
|967.39-982.684
|967.39-982.684
|988.235
|-
|-
|11
|11
Line 657: Line 719:
|H
|H
|''C''
|''C''
|936.198-953.021
|1009.412
|945.256-962.079
|976.585-993.409
|982.67-1090.357
|997.65-1014.474
|1012.207-1029.031
|1012.207-1029.031
| colspan="2" |1019.118
|1012.386-1029.209
|1012.386-1029.209
|1018.0265-1034.85
| colspan="2" |1035.294
|1035.271-1052.0945
|1035.271-1052.0945
| colspan="2" |1044.219
|1052.355-1069.179
|1052.355-1069.179
| colspan="2" |1070.994
|1064.129-1080.953
|1064.129-1080.953
|1087.059
|-
|-
|12
|12
Line 673: Line 737:
|C
|C
|''D''
|''D''
|1021.3065-1039.66
|1101.1765
|1031.188-1049.541
|1065.366-1083.719
|1072.004-1181.22
|1088.346-1106.699
|1104.226-1122.579
|1104.226-1122.579
| colspan="2" |1111.765
|1104.421-1122.774
|1104.421-1122.774
|1110.574-1128.927
| colspan="2" |1129.412
|1129.3865-1147.7395
|1129.3865-1147.7395
| colspan="2" |1139.148
|1148.024-1166.377
|1148.024-1166.377
| colspan="2" |1168.357
|1160.868-1179.221
|1160.868-1179.221
|1185.882
|-
|-
|13
|13
Line 689: Line 755:
|Db
|Db
|''Sb''
|''Sb''
|1106.415-1186.94
|1192.941
|1117.12-1137.003
|1154.146-1174.029.
|1161.337-1272.083
|1179.041-1198.924
|1196.245-1216.127
|1196.245-1216.127
| colspan="2" |1204.412
|1196.456-1216.338
|1196.456-1216.338
|1203.122-1223.005
| colspan="2" |1223.529
|1223.502-1243.384
|1223.502-1243.384
| colspan="2" |1234.077
|1243.692-1263.575
|1243.692-1263.575
| colspan="2" |1265.72
|1257.607-1277.4895
|1257.607-1277.4895
|1284.706
|-
|-
|14
|14
Line 704: Line 772:
|C#
|C#
|''D#''
|''D#''
|1191.524-1212.936
|1284.706
|1203.052-1224.464
|1242.927-1264.3385
|1250.671-1362.946
|1269.737-1291.1485
|1288.234-1309.676
|1288.234-1309.676
| colspan="2" |1297.059
|1288.491-1309.903
|1288.491-1309.903
|1295.67-1317.082
| colspan="2" |1317.647
|1317.618-1339.026
|1317.618-1339.026
| colspan="2" |1329.006
|1339.361-1360.773
|1339.361-1360.773
| colspan="2" |1363.083
|1354.346-1375.758
|1354.346-1375.758
|1383.529
|-
|-
|15
|15
Line 719: Line 789:
|D
|D
|''S''
|''S''
|1276.633-1299.5745
|1376.471
|1288.985-1311.926
|1331.707-1354.648
|1340.005-1453.809
|1360.432-1383.373
|1380.283-1403.224
|1380.283-1403.224
| colspan="2" |1389.706
|1380.526-1403.467
|1380.526-1403.467
|1388.218-1411.159
| colspan="2" |1411.765
|1411.733-1434.674
|1411.733-1434.674
| colspan="2" |1423.935
|1435.03-1457.97
|1435.03-1457.97
| colspan="2" |1460.446
|1451.085-1474.026
|1451.085-1474.026
|1482.352
|-
|-
|16
|16
| colspan="2" |Ep
| colspan="2" |Ep
| colspan="2" |E
| colspan="2" |E
|1361.741-1386.213
|1468.235
|1374.917-1399.388
|1420.488-1424.958
|1426.338-1453.809
|1451.128-1475.598
|1472.3015-1496.772
|1472.3015-1496.772
| colspan="2" |1482.353
|1472.561-1497.032
|1472.561-1497.032
|1480.766-1505.236
| colspan="2" |1505.882
|1505.849-1530.319
|1505.849-1530.319
| colspan="2" |1518.864
|1530.698-1555.168
|1530.698-1555.168
| colspan="2" |1557.809
|1547.824-1572.295
|1547.824-1572.295
|1581.1765
|-
|-
|17
|17
| colspan="4" |F
| colspan="4" |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 22:26, 22 December 2018

Intervals

Degrees Enneatonic Intense Aeolian-Subpental Dorian Dorian
Subpental Pental Superpental
Min Golden±13¢ Max Min 7/3±13¢ Golden±13¢ Max Min Golden±13¢ Max Min Golden±13¢ Max
1 J A Jb Ab 84.706 85.109-86.638 86.2745 85.522-87.051 85.932-87.462 88.235 88.7805-90.6955 89.84 89.334-90.863 90.756
2 A\\ B\\ G# 169.412 170.218-173.277 172.549 171-044-174.1025 171.865-174.9235 176.471 177.561-180.62 179.679 178.667-181.726 181.513
3 Jp Ap J A 254.118 255.327-259.915 258.8235 256.5655-261.154 257.797-262.385 264.706 266.341-270.93 269.519 268.001-272.589 272.268
4 J B A B 338.8235 340.4355-346.553 345.098 342.087-348.205 343.729-349.847 352.941 355.122-361.2395 359.358 357.335-363.452 363.025
5 B C Bb Cb 423.529 425.544-433.1915 431.3725 427.609-435.256 429.662-437.309 441.1765 442.902-451.5495 449.198 446.668-454.315 453.7815
6 C\\ Q\\ A# B# 508.235 510.653-519.83 517.647 513.131-522.307 515.594-524.7705 529.412 532.683-541.859 539.037 536.002-545.178 544.538
7 Bp Cp B C 592.941 595.762-606.468 603.921 598.653-609.359 601.526-612.232 617.647 621.463-632.169 628.877 625.3355-636.041 635.394
8 C Q C Q 677.647 680.871-693.106 690.169 684.1745-696.41. 687.459-699.694 705.882 710.244-722.479 718.717 714.996-726.904 726.05
9 Q D Qb Db 762.653 765.98-779.745 776.471 769.696-783.461 773.391-787.156 794.118 799.024-812.789 808.556 804.003-817.768 816.806
10 D\\ Q\\ C# Q# 847.059 851.089-866.383 862.745 855.218-870.512 859.323-874.6175 882.353 887.805-903.099 898.396 893.336-999.4935 907.563
11 Qp Dp Q D 931.765 936.198-953.021 949.02 940.74-957.5635 945.256-962.079 970.588 976.585-993.409 988.235 982.67-1090.357 998.319
12 D D S 1016.471 1021.3065-1039.66 1035.294 1026.262-1044.615 1031.188-1049.541 1058.8235 1065.366-1083.719 1078.075 1072.004-1181.22 1089.076
13 E S Eb 1101.1765 1106.415-1186.94 1121.569 1111.7847-1131.666 1117.12-1137.003 1147.059 1154.146-1174.029. 1167.914 1161.337-1272.083 1179.832
14 F D# S# 1185.882 1191.524-1212.936 1027.843 1197.3055-1218.717 1203.052-1224.464 1235.294 1242.927-1264.3385 1257.754 1250.671-1362.946 1270.588
15 G\\ E 1270.588 1276.633-1299.5745 1294.118 1282.827-1305.768 1288.985-1311.926 1323.529 1331.707-1354.648 1347.594 1340.005-1453.809 1361.3445
16 Fp F 1355.294 1361.741-1386.213 1380.392 1368.249-1392.82 1374.917-1399.388 1411.765 1420.488-1424.958 1437.433 1426.338-1453.809 1452.101
17 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 G Gb J A Jb Ab 90.756 90.259-91.789 90.6955-92.225 91.765
2 J\\ A\\ F# A\\ B\\ G# 181.513 180.5185-183.577 181.391-184.45 183.528
3 Gp G Jp Ap J A 272.268 270.778-275.366 272.086-276.675 275.294
4 J A J A J B A B 363.025 361.037-367.155 362.782-368.9 367.059
5 A B Ab Bb B C Bb Cb 453.7815 451.2965-458.9435 453.477-461.1245 458.8235
6 B\\ H\\ J# A# C\\ Q\\ A# B# 544.538 541.556-550.732 544.173-553.349 550.588
7 Ap Bp A B Bp Cp B C 635.394 631.815-642.521 634.869-645.574 642.353
8 B H B H C Q C Q 726.05 722.074-734.31 725.564-737.8 734.118
9 H C Hb Cb Q D Qb Db 816.806 812.334-826.098 816.259-830.014 825.882
10 C\\ D\\ B# H# D\\ Q\\ C# Q# 907.563 902.593-917.887 906.955-922.249 917.647
11 Hp Cp H C Qp Dp Q D 998.319 992.852.1009.676 997.65-1014.474 1009.412
12 C D C D D D S 1089.076 1083.1115-1101.464 1088.346-1106.699 1101.1765
13 D S Db Sb E S Eb 1179.832 1173.371-1193.253 1179.041-1198.924 1192.941
14 E C# D# F D# S# 1270.588 1353.889-1375.042 1269.737-1291.1485 1284.706
15 F\\ D S G\\ E 1361.3445 1444.149-1466.83 1360.432-1383.373 1376.471
16 Ep E Fp F 1452.101 1534.408-1558.619 1451.128-1475.598 1468.235
17 F G 1542.857 1534.408-1560.408 1541.823-1567.823 1560
Degrees Enneatonic 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 G Gb 91.765 92.019-93.548 92.647 92.035-93.5645 92.548-94.077 94.118 94.1155-95.645 94.929 95.669-97.198 97.363 96.739-98.268 98.8235
2 J\\ A\\ F# 183.528 184.038-187.139 185.294 184.07-187.129 185.096-188.155 188.235 188.231-191.29 189.858 191.337-194.396 194.726 193.478-196.537 197.647
3 Gp G 275.294 276.0565-280.645 277.941 276.105-280.693 277.644-282.232 282.353 282.347-286.935 284.787 287.006-291.594 292.089 290.217-294.805 296.471
4 J A J A 367.059 368.075-374.193 370.588 368.14-374.258 370.1915-376.309 376.471 376.462-382.58 379.716 382.675-388.792 389.452 386.956-393.074 395.294
5 A B Ab Bb 458.8235 460.094-467.741 463.235 460.175-467.822 462.739-470.386 470.588 470.578-478.225 474.645 478.343-485.99 486.815 483.695-491.342 494.118
6 B\\ H\\ J# A# 550.588 552.113-561.29 555.882 552.21-561.387 555.287-564.464 564.706 564.693-573.87 569.574 574.012-583.188 584.1785 580.434-589.6105 592.941
7 Ap Bp A B 642.353 644.132-654.838 648.529 644.2455-654.951 647.835-658.541 658.8235 658.809-669.515 664.503 669.6805-680.386 681.542 677.173-687.879 691.765
8 B H B H 734.118 736.151-748.386 741.1765 736.281-748.516 740.383-752.618 752.941 752.924-765.16 759.432 765.349-777.584 778.905 773.912-783.147 790.588
9 H C Hb Cb 825.882 828.17-841.934 833.8235 828.316-842.08 832.931-846.6955 847.059 847.04-860.805 854.361 861.018-874.7852 876.268 870.416-884.416 889.412
10 C\\ D\\ B# H# 917.647 920.1885-935.483 926.471 920.351-935.645 925.479-940.773 941.1765 941.155-956.45 949.29 956.6865-971.9805 973.631 967.39-982.684 988.235
11 Hp Cp H C 1009.412 1012.207-1029.031 1019.118 1012.386-1029.209 1018.0265-1034.85 1035.294 1035.271-1052.0945 1044.219 1052.355-1069.179 1070.994 1064.129-1080.953 1087.059
12 C D C D 1101.1765 1104.226-1122.579 1111.765 1104.421-1122.774 1110.574-1128.927 1129.412 1129.3865-1147.7395 1139.148 1148.024-1166.377 1168.357 1160.868-1179.221 1185.882
13 D S Db Sb 1192.941 1196.245-1216.127 1204.412 1196.456-1216.338 1203.122-1223.005 1223.529 1223.502-1243.384 1234.077 1243.692-1263.575 1265.72 1257.607-1277.4895 1284.706
14 E C# D# 1284.706 1288.234-1309.676 1297.059 1288.491-1309.903 1295.67-1317.082 1317.647 1317.618-1339.026 1329.006 1339.361-1360.773 1363.083 1354.346-1375.758 1383.529
15 F\\ D S 1376.471 1380.283-1403.224 1389.706 1380.526-1403.467 1388.218-1411.159 1411.765 1411.733-1434.674 1423.935 1435.03-1457.97 1460.446 1451.085-1474.026 1482.352
16 Ep E 1468.235 1472.3015-1496.772 1482.353 1472.561-1497.032 1480.766-1505.236 1505.882 1505.849-1530.319 1518.864 1530.698-1555.168 1557.809 1547.824-1572.295 1581.1765
17 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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