User:Moremajorthanmajor/17edX: Difference between revisions

No edit summary
m - categories
 
(18 intermediate revisions by 4 users not shown)
Line 1: Line 1:
==Intervals==
'''17edX''' means division of a tenth interval into 17 equal parts.
 
== Intervals ==
{| class="wikitable"
{| class="wikitable"
! rowspan="5" |Degrees
! Decade
! colspan="4" rowspan="5" |Enneatonic
!Period
! colspan="8" |Minor mode Middletown temperament
!Notes
! colspan="2" |Neutral mode Middletown temperament
|-
! colspan="10" |Major mode Middletown temperament
| 6\5
|''84.706''
|Intense Aeolian-Subpental Dorian mode begins
|-
|29\24
|''85.294''
|
|-
|23\19
|85.449
|
|-
|17\14
|85.714
|
|-
|11\9
|86.275
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|-
|-
! colspan="2" rowspan="3" |Aeolian-Dorian
|16\13
! colspan="6" |Dorian
|86.878
! colspan="2" rowspan="3" |Dorian-Mixolydian
|
! colspan="8" |Mixolydian
! colspan="2" rowspan="3" |Mixolydian-Ionian
|-
|-
! colspan="2" rowspan="2" |Subpental
|21\17
! colspan="2" rowspan="2" |Pental
|87.197
! colspan="2" rowspan="2" |Superpental
|
! colspan="2" rowspan="2" |Subpental
! colspan="2" rowspan="2" |Pental
! colspan="4" |Superpental
|-
|-
! colspan="2" |Soft
|5\4
! colspan="2" |Intense
|''88.235''
|Subpental Dorian mode ends, Pental Dorian mode begins
|-
|-
! |Minimum
|24\19
! |Maximum
|89.164
!Minimum
|
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! |Maximum
!Minimum
!Maximum
! |Minimum
!Maximum
!Minimum
!Maximum
!Minimum
!Maximum
!Minimum
! |Maximum
|-
|-
| |1
|19\15
| colspan="2" |G
|89.412
| colspan="2" |Gb
|
| |84.706
|-
| colspan="2" |86.2745
|14\11
| colspan="2" |88.235
|89.840
| colspan="2" |89.84
|Pental Dorian mode ends, Superpental Dorian mode begins
| colspan="2" |90.756
|-
| colspan="2" |91.765
|23\18
| colspan="2" |92.647
|90.196
| colspan="2" |94.118
|
| colspan="2" |94.929
|-
| colspan="2" |97.363
|9\7
| |98.8235
|90.756
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|-
|-
| |2
|31\24
|J\\
|''91.176''
|''A\\''
|
| colspan="2" |F#
| |169.412
| colspan="2" |172.549
| colspan="2" |176.471
| colspan="2" |179.679
| colspan="2" |181.513
| colspan="2" |183.528
| colspan="2" |185.294
| colspan="2" |188.235
| colspan="2" |189.858
| colspan="2" |194.726
| |197.647
|-
|-
| |3
|22\17
| colspan="2" |Gp
|91.349
| colspan="2" |G
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
| |254.118
| colspan="2" |258.8235
| colspan="2" |264.706
| colspan="2" |269.519
| colspan="2" |272.268
| colspan="2" |275.294
| colspan="2" |277.941
| colspan="2" |282.353
| colspan="2" |284.787
| colspan="2" |292.089
| |296.471
|-
|-
| |4
|35\27
|J
|91.503
|A
|
|J
|''A''
| |338.8235
| colspan="2" |345.098
| colspan="2" |352.941
| colspan="2" |359.358
| colspan="2" |363.025
| colspan="2" |367.059
| colspan="2" |370.588
| colspan="2" |376.471
| colspan="2" |379.716
| colspan="2" |389.452
| |395.294
|-
|-
| |5
|13\10
|A
|91.765
|''B''
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
|Ab
|''Bb''
| |423.529
| colspan="2" |431.3725
| colspan="2" |441.1765
| colspan="2" |449.198
| colspan="2" |453.7815
| colspan="2" |458.8235
| colspan="2" |463.235
| colspan="2" |470.588
| colspan="2" |474.645
| colspan="2" |486.815
| |494.118
|-
|-
| |6
|17\13
|B\\
|92.308
|''H\\''
|
|J#
|''A#''
| |508.235
| colspan="2" |517.647
| colspan="2" |529.412
| colspan="2" |539.037
| colspan="2" |544.538
| colspan="2" |550.588
| colspan="2" |555.882
| colspan="2" |564.706
| colspan="2" |569.574
| colspan="2" |584.1785
| |592.941
|-
|-
| |7
|21\16
|Ap
|92.647
|''Bp''
| Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|A
|''B''
| |592.941
| colspan="2" |603.921
| colspan="2" |617.647
| colspan="2" |628.877
| colspan="2" |635.394
| colspan="2" |642.353
| colspan="2" |648.529
| colspan="2" |658.8235
| colspan="2" |664.503
| colspan="2" |681.542
| |691.765
|-
|-
|8
|25\19
|B
|92.879
|''H''
|
|B
|''H''
|677.647
| colspan="2" |690.169
| colspan="2" |705.882
| colspan="2" |718.717
| colspan="2" |726.05
| colspan="2" |734.118
| colspan="2" |741.1765
| colspan="2" |752.941
| colspan="2" |759.432
| colspan="2" |778.905
|790.588
|-
|-
|9
|29\22
|H
|93.048
|''C''
|
|Hb
|''Cb''
|762.653
| colspan="2" |776.471
| colspan="2" |794.118
| colspan="2" |808.556
| colspan="2" |816.806
| colspan="2" |825.882
| colspan="2" |833.8235
| colspan="2" |847.059
| colspan="2" |854.361
| colspan="2" |876.268
|889.412
|-
|-
|10
|33\25
|C\\
|93.176
|''D\\''
|
|B#
|''H#''
|847.059
| colspan="2" |862.745
| colspan="2" |882.353
| colspan="2" |898.396
| colspan="2" |907.563
| colspan="2" |917.647
| colspan="2" |926.471
| colspan="2" |941.1765
| colspan="2" |949.29
| colspan="2" |973.631
|988.235
|-
|-
|11
|4\3
|Hp
|''94.118''
|''Cp''
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|H
|''C''
|931.765
| colspan="2" |949.02
| colspan="2" |970.588
| colspan="2" |988.235
| colspan="2" |998.319
| colspan="2" |1009.412
| colspan="2" |1019.118
| colspan="2" |1035.294
| colspan="2" |1044.219
| colspan="2" |1070.994
|1087.059
|-
|-
|12
|19\14
|C
|95.798
|''D''
|
|C
|''D''
|1016.471
| colspan="2" |1035.294
| colspan="2" |1058.8235
| colspan="2" |1078.075
| colspan="2" |1089.076
| colspan="2" |1101.1765
| colspan="2" |1111.765
| colspan="2" |1129.412
| colspan="2" |1139.148
| colspan="2" |1168.357
|1185.882
|-
|-
|13
|15\11
|D
|96.257
|''S''
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|Db
|''Sb''
|1101.1765
| colspan="2" |1121.569
| colspan="2" |1147.059
| colspan="2" |1167.914
| colspan="2" |1179.832
| colspan="2" |1192.941
| colspan="2" |1204.412
| colspan="2" |1223.529
| colspan="2" |1234.077
| colspan="2" |1265.72
|1284.706
|-
|-
|14
|26\19
| colspan="2" |E
|96.594
|C#
|
|''D#''
|1185.882
| colspan="2" |1027.843
| colspan="2" |1235.294
| colspan="2" |1257.754
| colspan="2" |1270.588
| colspan="2" |1284.706
| colspan="2" |1297.059
| colspan="2" |1317.647
| colspan="2" |1329.006
| colspan="2" |1363.083
|1383.529
|-
|-
|15
|11\8
| colspan="2" |F\\
|''97.059''
|D
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|''S''
|1270.588
| colspan="2" |1294.118
| colspan="2" |1323.529
| colspan="2" |1347.594
| colspan="2" |1361.3445
| colspan="2" |1376.471
| colspan="2" |1389.706
| colspan="2" |1411.765
| colspan="2" |1423.935
| colspan="2" |1460.446
|1482.352
|-
|-
|16
|18\13
| colspan="2" |Ep
|97.738
| colspan="2" |E
|
|1355.294
| colspan="2" |1380.392
| colspan="2" |1411.765
| colspan="2" |1437.433
| colspan="2" |1452.101
| colspan="2" |1468.235
| colspan="2" |1482.353
| colspan="2" |1505.882
| colspan="2" |1518.864
| colspan="2" |1557.809
|1581.1765
|-
|-
|17
|25\18
| colspan="2" |F
|98.032
| colspan="2" |F
|
|1440
| colspan="2" |1466.667
| colspan="2" |1500
| colspan="2" |1527.273
| colspan="2" |1542.857
| colspan="2" |1560
| colspan="2" |1575
| colspan="2" |1600
| colspan="2" |1613.793
| colspan="2" |1655.172
|1680
|}Most harmonic tunings
{| class="wikitable"
|-
|-
|7\5
|98.824
|Mixolydian-Ionian mode ends
|}Golden/Pyrite Tunings±13¢
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! colspan="4" rowspan="2" |Enneatonic
! colspan="4" rowspan="2" |Enneatonic
!Minor mode Middletown temperament
! rowspan="2" |Intense Aeolian-Subpental Dorian
!Neutral mode Middletown temperament
! colspan="3" |Dorian
!Major mode Middletown temperament
|-
|-
!7/3±13¢
!Subpental
!22/9±13¢
!Pental
!5/2±13¢
!Superpental
|-
|-
|1
| |1
| colspan="2" |G
|J
| colspan="2" |Gb
|''A''
|85.522-87.051
|Jb
|90.259-91.789
|''Ab''
|92.548-94.077
|85.109-86.638
|85.932-87.462
|88.7805-90.6955
|89.334-90.863
|-
|-
| |2
| |2
|J\\
|A\\
|''A\\''
|''B\\''
| colspan="2" |F#
| colspan="2" |G#
|171-044-174.1025
|170.218-173.277
|180.5185-183.577
|171.865-174.9235
|185.096-188.155
|177.561-180.62
|178.667-181.726
|-
|-
|3
| |3
| colspan="2" |Gp
|Jp
| colspan="2" |G
|''Ap''
|256.5655-261.154
|J
|270.778-275.366
|''A''
|277.644-282.232
|255.327-259.915
|257.797-262.385
|266.341-270.93
|268.001-272.589
|-
|-
| |4
| |4
|J
|J
|A
|J
|''A''
|342.087-348.205
|361.037-367.155
|370.1915-376.309
|-
|5
|A
|''B''
|''B''
|Ab
|''Bb''
|427.609-435.256
|451.2965-458.9435
|462.739-470.386
|-
| |6
|B\\
|''H\\''
|J#
|''A#''
|513.131-522.307
|541.556-550.732
|555.287-564.464
|-
|7
|Ap
|''Bp''
|A
|A
|''B''
|''B''
|598.653-609.359
|340.4355-346.553
|631.815-642.521
|343.729-349.847
|647.835-658.541
|355.122-361.2395
|357.335-363.452
|-
|-
| |8
| |5
|B
|B
|''H''
|B
|''H''
|684.1745-696.41.
|722.074-734.31
|740.383-752.618
|-
|9
|H
|''C''
|''C''
|Hb
|Bb
|''Cb''
|''Cb''
|769.696-783.461
|425.544-433.1915
|812.334-826.098
|429.662-437.309
|832.931-846.6955
|442.902-451.5495
|446.668-454.315
|-
|-
| |10
| |6
|C\\
|C\\
|''D\\''
|''Q\\''
|B#
|A#
|''H#''
|''B#''
|855.218-870.512
|510.653-519.83
|902.593-917.887
|515.594-524.7705
|925.479-940.773
|532.683-541.859
|536.002-545.178
|-
|-
|11
| |7
|Hp
|Bp
|''Cp''
|''Cp''
|H
|B
|''C''
|''C''
|940.74-957.5635
|595.762-606.468
|992.852.1009.676
|601.526-612.232
|1018.0265-1034.85
|621.463-632.169
|625.3355-636.041
|-
|-
| |12
|8
|C
|C
|''D''
|''Q''
|C
|C
|''Q''
|680.871-693.106
|687.459-699.694
|710.244-722.479
|714.996-726.904
|-
|9
|Q
|''D''
|''D''
|1026.262-1044.615
|Qb
|1083.1115-1101.464
|1110.574-1128.927
|-
|13
|D
|''S''
|Db
|Db
|''Sb''
|765.98-779.745
|1111.7847-1131.666
|773.391-787.156
|1173.371-1193.253
|799.024-812.789
|1203.122-1223.005
|804.003-817.768
|-
|-
| |14
|10
| colspan="2" |E
|D\\
|''Q\\''
|C#
|C#
|''D#''
|Q#
|1197.3055-1218.717
|851.089-866.383
|1353.889-1375.042
|859.323-874.6175
|1295.67-1317.082
|887.805-903.099
|-
|893.336-999.4935
|15
| colspan="2" |F\\
|D
|''S''
|1282.827-1305.768
|1444.149-1466.83
|1388.218-1411.159
|-
|16
| colspan="2" |Ep
| colspan="2" |E
|1368.249-1392.82
|1534.408-1558.619
|1480.766-1505.236
|-
|17
| colspan="2" |F
| colspan="2" |F
|1453.871-1479.871
|1534.408-1560.408
|1573.314-1599.314
|}Golden tunings
 
Minor mode Middletown temperament
{| class="wikitable"
! rowspan="3" |Degrees
! colspan="4" rowspan="3" |Enneatonic
! colspan="3" |Aeolian-Dorian
! colspan="9" |Dorian
|-
! rowspan="2" |-13¢
! rowspan="2" |Mean
! rowspan="2" |-13¢ (s5D)
! colspan="3" |Subpental
! colspan="3" |Pental
! colspan="3" |Superpental
|-
!+13¢ (A-D)
!Mean
!+13¢
!-13¢
!-13¢ (S5)
!Mean
!Mean
!+13¢ (5)
!-13¢ (D-M)
|-
|1
| colspan="2" |G
| colspan="2" |Gb
|85.109
|85.874
|85.932
|86.638
|86.697
|87.462
|88.7805
|89.334
|89.545
|90.098
|90.31
|90.6955
|-
|2
|J\\
|''A\\''
| colspan="2" |F#
|170.218
|171.747
|171.865
|173.277
|173.394
|174.9235
|177.561
|178.667
|179.09
|180.197
|180.62
|181.391
|-
|3
| colspan="2" |Gp
| colspan="2" |G
|255.327
|257.621
|257.797
|259.915
|260.091
|262.385
|266.341
|268.001
|268.636
|270.295
|270.93
|272.086
|-
|4
|J
|A
|J
|''A''
|340.4355
|343.494
|343.729
|346.553
|346.788
|349.847
|355.122
|357.335
|358.181
|360.393
|361.2395
|362.782
|-
|5
|A
|''B''
|Ab
|''Bb''
|425.544
|429.368
|429.662
|433.1915
|433.485
|437.309
|442.902
|446.668
|447.726
|450.492
|451.5495
|453.477
|-
|6
|B\\
|''H\\''
|J#
|''A#''
|510.653
|515.2415
|515.594
|519.83
|520.182
|524.7705
|532.683
|536.002
|537.271
|540.59
|541.859
|544.173
|-
|7
|Ap
|''Bp''
|A
|''B''
|595.762
|601.115
|601.526
|606.468
|606.879
|612.232
|621.463
|625.3355
|626.516
|630.688
|632.169
|634.868
|-
|8
|B
|''H''
|B
|''H''
|680.871
|686.989
|687.459
|693.106
|693.576
|699.694
|710.244
|714.996
|716.3615
|720.787
|722.479
|725.563
|-
|9
|H
|''C''
|Hb
|''Cb''
|765.98
|772.862
|773.391
|779.745
|780.273
|787.156
|799.024
|804.003
|805.907
|810.885
|812.789
|816.259
|-
|10
|C\\
|''D\\''
|B#
|''H#''
|851.089
|858.736
|859.323
|866.383
|866.97
|874.6175
|887.805
|893.336
|895.452
|900.983
|903.099
|906.955
|-
|-
|11
|11
|Hp
|Qp
|''Cp''
|''Dp''
|H
|Q
|''C''
|''D''
|936.198
|936.198-953.021
|944.609
|945.256-962.079
|945.256
|976.585-993.409
|953.021
|982.67-1090.357
|953.667
|962.079
|976.585
|982.67
|984.997
|991.082
|993.409
|997.65
|-
|-
|12
|12
|C
| colspan="2" |D
|''D''
|D
|C
|''S''
|''D''
|1021.3065-1039.66
|1021.3065
|1031.188-1049.541
|1030.483
|1065.366-1083.719
|1031.188
|1072.004-1181.22
|1039.66
|1040.3645
|1049.541
|1065.366
|1072.004
|1074.542
|1081.18
|1083.719
|1088.346
|-
|-
|13
|13
|D
|E
|''S''
|''S''
|Db
| colspan="2" |Eb
|''Sb''
|1106.415-1186.94
|1106.415
|1117.12-1137.003
|1116.3565
|1154.146-1174.029.
|1117.12
|1161.337-1272.083
|1186.94
|1127.0615
|1137.003
|1154.146
|1161.337
|1164.087
|1171.2785
|1174.029.
|1179.041
|-
|-
|14
|14
| colspan="2" |E
| colspan="2" |F
|C#
|D#
|''D#''
|''S#''
|1191.524
|1191.524-1212.936
|1202.23
|1203.052-1224.464
|1203.052
|1242.927-1264.3385
|1212.936
|1250.671-1362.946
|1213.759
|1224.464
|1242.927
|1250.671
|1253.633
|1261.377
|1264.3385
|1269.737
|-
|-
|15
|15
| colspan="2" |F\\
| colspan="2" |G\\
|D
| colspan="2" |E
|''S''
|1276.633-1299.5745
|1276.633
|1288.985-1311.926
|1288.104
|1331.707-1354.648
|1288.985
|1340.005-1453.809
|1299.5745
|1300.456
|1311.926
|1331.707
|1340.005
|1343.178
|1351.475
|1354.648
|1360.432
|-
|-
|16
|16
| colspan="2" |Ep
| colspan="2" |Fp
| colspan="2" |E
| colspan="2" |F
|1361.741
|1361.741-1386.213
|1373.977
|1374.917-1399.388
|1374.917
|1420.488-1424.958
|1386.213
|1426.338-1453.809
|1387.153
|1399.388
|1420.488
|1426.338
|1432.723
|1441.5735
|1424.958
|1451.128
|-
|-
|17
|17
| colspan="2" |F
| colspan="4" |G
| colspan="2" |F
|1446.851-1472.851
|1446.851
|1460.85-1486.85
|1459.851
|1509.268-1535.268
|1460.85
|1518.672-1544.672
|1472.851
|1473.85
|1486.85
|1509.268
|1518.672
|1522.268
|1531.672
|1535.268
|1541.823
|}
|}
Neutral (Dorian-Mixolydian) mode Middletown temperament
{| class="wikitable" style="text-align: center"
{| class="wikitable"
|-
!Degrees
!Degrees
! colspan="4" |Enneatonic
! colspan="8" |Enneatonic
!+13¢ (S5D)
!Mohajira
!Mean
!Beatles
!-13¢ (s5M)
|-
|-
|1
| |1
| colspan="2" |G
| colspan="2" |G
| colspan="2" |Gb
| colspan="2" |Gb
|90.863
|J
|91.46
|''A''
|92.019
|Jb
|''Ab''
|90.464-91.994
|90.6955-92.225
|-
|-
|2
| |2
|J\\
|J\\
|''A\\''
|''A\\''
| colspan="2" |F#
| colspan="2" |F#
|181.726
|A\\
|182.92
|''B\\''
|184.038
| colspan="2" |G#
|180.929-183.988
|181.391-184.45
|-
|-
|3
| |3
| colspan="2" |Gp
| colspan="2" |Gp
| colspan="2" |G
| colspan="2" |G
|272.589
|Jp
|274.381
|''Ap''
|276.0565
|J
|''A''
|271.393-275.9815
|272.086-276.675
|-
|-
|4
| |4
|J
|J
|A
|A
|J
|J
|''A''
|''A''
|363.452
|J
|365.841
|''B''
|368.075
|A
|''B''
|361.858-367.975
|362.782-368.91
|-
|-
|5
| |5
|A
|A
|''B''
|''B''
|Ab
|Ab
|''Bb''
|''Bb''
|454.315
|B
|457.301
|''C''
|460.094
|Bb
|''Cb''
|452.322-459.969
|453.477-461.124
|-
|-
|6
| |6
|B\\
|B\\
|''H\\''
|''H\\''
|J#
|J#
|''A#''
|''A#''
|545.178
|C\\
|548.761
|''Q\\''
|552.113
|A#
|''B#''
|542.787-551.963
|544.173-553.349
|-
|-
|7
| |7
|Ap
|Ap
|''Bp''
|''Bp''
|A
|A
|''B''
|''B''
|636.041
|Bp
|640.221
|''Cp''
|664.132
|B
|''C''
|633.251-643.957
|634.868-645.574
|-
|-
|8
|8
Line 868: Line 386:
|B
|B
|''H''
|''H''
|726.904
|C
|731.6815
|''Q''
|736.151
|C
|''Q''
|723.7155-735.951
|725.564-737.799
|-
|-
|9
|9
Line 877: Line 398:
|Hb
|Hb
|''Cb''
|''Cb''
|817.767
|Q
|823.142
|''D''
|828.17
|Qb
|Db
|814.18-827.945
|816.259-830.024
|-
|-
|10
|10
Line 886: Line 410:
|B#
|B#
|''H#''
|''H#''
|908.6305
|D\\
|914.602
|''Q\\''
|920.1885
|C#
|Q#
|904.644-919.9385
|906.955-922.289
|-
|-
|11
|11
Line 895: Line 422:
|H
|H
|''C''
|''C''
|999.4935
|Qp
|1006.062
|''Dp''
|1012.207
|Q
|''D''
|995.109-1011.932
|997.65-1014.474
|-
|-
|12
|12
Line 904: Line 434:
|C
|C
|''D''
|''D''
|1090.357
| colspan="2" |D
|1097.522
|D
|1104.226
|''S''
|1085.573-1103.926
|1088.346-1106.699
|-
|-
|13
|13
Line 913: Line 445:
|Db
|Db
|''Sb''
|''Sb''
|1181.22
|E
|1188.982
|''S''
|1196.245
| colspan="2" |Eb
|1176.038-1195.92
|1179.041-1198.9235
|-
|-
|14
|14
Line 921: Line 455:
|C#
|C#
|''D#''
|''D#''
|1272.083
| colspan="2" |F
|1280.443
|D#
|1288.234
|''S#''
|1266.502-1287.914
|1269.737-1291.1485
|-
|-
|15
|15
Line 929: Line 465:
|D
|D
|''S''
|''S''
|1362.946
| colspan="2" |G\\
|1371.903
| colspan="2" |E
|1380.283
|1356.967-1379.908
|1360.432-1383.373
|-
|-
|16
|16
| colspan="2" |Ep
| colspan="2" |Ep
| colspan="2" |E
| colspan="2" |E
|1453.809
| colspan="2" |Fp
|1463.363
| colspan="2" |F
|1472.3015
|1447.431-1471.902
|1451.128-1475.598
|-
|-
|17
|17
| colspan="2" |F
| colspan="4" |F
| colspan="2" |F
| colspan="4" |G
|1544.672
|1537.8955-1563.8955
|1554.823
|1541.823-1577.823
|1557.82
|}
|}Major mode Middletown temperament
{| class="wikitable" style="text-align: center"
{| class="wikitable"
! rowspan="3" |Degrees
|+
! colspan="4" rowspan="3" |Enneatonic
! colspan="4" |Mixolydian
! rowspan="3" |Mixolydian-Ionian
|-
|-
! rowspan="4" |Degrees
! rowspan="2" |Subpental
! colspan="4" rowspan="4" |Enneatonic
! rowspan="2" |Pental
! colspan="13" |Mixolydian
! colspan="2" |Superpental
! colspan="2" |Mixolydian-Ionian
|-
|-
! colspan="3" |Subpental
!Soft
! colspan="4" |Pental
!Intense
! colspan="6" |Superpental
! rowspan="3" |Mean
! rowspan="3" |+13¢
|-
|-
! rowspan="2" |-13¢ (5)
| |1
! rowspan="2" |+13¢ (D-M)
! rowspan="2" |Mean
! rowspan="2" |Mean
! rowspan="2" |+13¢ (s5)
! rowspan="2" |+13¢
! rowspan="2" |-13¢ (Soft s5)
! rowspan="2" |Soft
! colspan="5" |Intense
|-
!+13¢ (Soft s5)
!-13¢
!Mean
!-13¢ (M-I)
!+13¢
|-
|1
| colspan="2" |G
| colspan="2" |G
| colspan="2" |Gb
| colspan="2" |Gb
|92.035
|92.019-93.548
|92.225
|92.035-93.5645
|92.401
|94.1155-95.645
|92.8
|95.669-97.198
|93.548
|96.739-98.268
|93.5645
|94.1155
|94.88
|95.645
|95.669
|96.433
|96.739
|97.198
|97.504
|98.268
|-
|-
|2
| |2
|J\\
|J\\
|''A\\''
|''A\\''
| colspan="2" |F#
| colspan="2" |F#
|184.07
|184.038-187.139
|184.45
|184.07-187.129
|184.802
|188.231-191.29
|185.6
|191.337-194.396
|187.139
|193.478-196.537
|198.8245
|188.231
|189.7605
|191.29
|191.337
|192.867
|193.478
|194.396
|195.007
|196.537
|-
|-
|3
| |3
| colspan="2" |Gp
| colspan="2" |Gp
| colspan="2" |G
| colspan="2" |G
|276.105
|276.0565-280.645
|276.675
|276.105-280.693
|277.204
|282.347-286.935
|278.399
|287.006-291.594
|280.645
|290.217-294.805
|280.693
|282.347
|284.641
|286.935
|287.006
|289.3
|290.217
|291.594
|292.511
|294.805
|-
|-
|4
| |4
|J
|J
|A
|A
|J
|J
|''A''
|''A''
|368.14
|368.075-374.193
|368.9
|368.14-374.258
|369.605
|376.462-382.58
|371.199
|382.675-388.792
|374.193
|386.956-393.074
|374.258
|376.462
|379.521
|382.58
|382.675
|385.733
|386.956
|388.792
|390.015
|393.074
|-
|-
|5
| |5
|A
|A
|''B''
|''B''
|Ab
|Ab
|''Bb''
|''Bb''
|460.175
|460.094-467.741
|461.1245
|460.175-467.822
|462.006
|470.578-478.225
|463.999
|478.343-485.99
|467.741
|483.695-491.342
|467.822
|470.578
|474.401
|478.225
|478.343
|482.167
|483.695
|485.99
|487.519
|491.342
|-
|-
|6
| |6
|B\\
|B\\
|''H\\''
|''H\\''
|J#
|J#
|''A#''
|''A#''
|552.21
|552.113-561.29
|553.349
|552.21-561.387
|554.407
|564.693-573.87
|556.799
|574.012-583.188
|561.29
|580.434-589.6105
|561.387
|564.693
|569.2815
|573.87
|574.012
|578.6
|580.434
|583.188
|585.022
|589.6105
|-
|-
|7
| |7
|Ap
|Ap
|''Bp''
|''Bp''
|A
|A
|''B''
|''B''
|644.2455
|644.132-654.838
|645.574
|644.2455-654.951
|646.808
|658.809-669.515
|649.598
|669.6805-680.386
|654.838
|677.173-687.879
|654.951
|658.809
|664.162
|669.515
|669.6805
|675.033
|677.173
|680.386
|682.526
|687.879
|-
|-
|8
|8
Line 1,124: Line 574:
|B
|B
|''H''
|''H''
|736.281
|736.151-748.386
|737.8
|736.281-748.516
|739.21
|752.924-765.16
|742.398
|765.349-777.584
|748.386
|773.912-783.147
|748.516
|752.924
|759.042
|765.16
|765.349
|771.467
|773.912
|777.584
|780.03
|783.147
|-
|-
|9
|9
Line 1,145: Line 585:
|Hb
|Hb
|''Cb''
|''Cb''
|828.316
|828.17-841.934
|830.024
|828.316-842.08
|831.611
|847.04-860.805
|835.198
|861.018-874.7852
|841.934
|870.416-884.416
|842.08
|847.04
|853.922
|860.805
|861.018
|867.9
|870.416
|874.7852
|877.5335
|884.416
|-
|-
|10
|10
Line 1,166: Line 596:
|B#
|B#
|''H#''
|''H#''
|920.351
|920.1885-935.483
|922.249
|920.351-935.645
|924.012
|941.155-956.45
|927.998
|956.6865-971.9805
|935.483
|967.39-982.684
|935.645
|941.155
|948.8025
|956.45
|956.6865
|964.3335
|967.39
|971.9805
|975.037
|982.684
|-
|-
|11
|11
Line 1,187: Line 607:
|H
|H
|''C''
|''C''
|1012.386
|1012.207-1029.031
|1014.474
|1012.386-1029.209
|1016.413
|1035.271-1052.0945
|1020.7975
|1052.355-1069.179
|1029.031
|1064.129-1080.953
|1029.209
|1035.271
|1043.683
|1052.0945
|1052.355
|1060.767
|1064.129
|1069.179
|1072.541
|1080.953
|-
|-
|12
|12
Line 1,208: Line 618:
|C
|C
|''D''
|''D''
|1104.421
|1104.226-1122.579
|1106.699
|1104.421-1122.774
|1108.814
|1129.3865-1147.7395
|1113.567
|1148.024-1166.377
|1122.579
|1160.868-1179.221
|1122.774
|1129.3865
|1138.563
|1147.7395
|1148.024
|1157.2
|1160.868
|1166.377
|1170.045
|1179.221
|-
|-
|13
|13
Line 1,229: Line 629:
|Db
|Db
|''Sb''
|''Sb''
|1196.456
|1196.245-1216.127
|1198.924
|1196.456-1216.338
|1201.216
|1223.502-1243.384
|1206.397
|1243.692-1263.575
|1216.127
|1257.607-1277.4895
|1216.338
|1223.502
|1233.443
|1243.384
|1243.692
|1253.6335
|1257.607
|1263.575
|1267.548
|1277.4895
|-
|-
|14
|14
Line 1,249: Line 639:
|C#
|C#
|''D#''
|''D#''
|1288.491
|1288.234-1309.676
|1291.1485
|1288.491-1309.903
|1293.617
|1317.618-1339.026
|1299.197
|1339.361-1360.773
|1309.676
|1354.346-1375.758
|1309.903
|1317.618
|1328.3235
|1339.026
|1339.361
|1350.067
|1354.346
|1360.773
|1365.052
|1375.758
|-
|-
|15
|15
Line 1,269: Line 649:
|D
|D
|''S''
|''S''
|1380.526
|1380.283-1403.224
|1383.373
|1380.526-1403.467
|1386.018
|1411.733-1434.674
|1391.997
|1435.03-1457.97
|1403.224
|1451.085-1474.026
|1403.467
|1411.733
|1423.204
|1434.674
|1435.03
|1446.5
|1451.085
|1457.97
|1462.556
|1474.026
|-
|-
|16
|16
| colspan="2" |Ep
| colspan="2" |Ep
| colspan="2" |E
| colspan="2" |E
|1472.561
|1472.3015-1496.772
|1475.598
|1472.561-1497.032
|1478.419
|1505.849-1530.319
|1484.796
|1530.698-1555.168
|1496.772
|1547.824-1572.295
|1497.032
|1505.849
|1518.083
|1530.319
|1530.698
|1542.934
|1547.824
|1555.169
|1560.0595
|1572.295
|-
|-
|17
|17
| colspan="2" |F
| colspan="4" |F
| colspan="2" |F
|1557.82-1583.82
|1564.596
|1564.596-1590.596
|1567.96
|1599.964-1625.964
|1570.82
|1626.366-1652.366
|1577.596
|1644.563-1670.563
|1583.82
|1590.596
|1599.964
|1612.964
|1625.964
|1626.366
|1639.366
|1644.563
|1652.366
|1657.563
|1670.563
|}
|}
[[Category:EdX]]
 
== See also ==
* [[17ed5/2]] - equal division of the classic major tenth
* [[17ed7/3]] - equal division of the septimal minor tenth