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== Intervals ==
== Intervals ==
{| class="wikitable" style="text-align: center"
{| class="wikitable"
! rowspan="3" |Degrees
! Decade
! colspan="4" rowspan="3" |Enneatonic
!Period
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
!Notes
! colspan="9" |Dorian
|-
| 6\5
|''84.706''
|Intense Aeolian-Subpental Dorian mode begins
|-
|-
! colspan="3" |Subpental
|29\24
! colspan="3" |Pental
|''85.294''
! colspan="3" |Superpental
|
|-
|-
!Min-comma
|23\19
!Med
|85.449
! colspan="2" |Max+comma~Min-comma
|
!Med
! colspan="2" |Max+comma~Min-comma
!Med
! colspan="2" |Max+comma~Min-comma
!Med
!Max+comma
|-
|-
|1
|17\14
|J
|''A''
|Jb
|''Ab''
|82.353-84.706
|85.714
|85.714
| colspan="2" |83.922-88.6275
|
|86.878
| colspan="2" |85.882-90.588
|89.412
| colspan="2" |87.487-92.1925
|90.196
|90.756-93.109
|-
|-
|2
|11\9
|A\\
|86.275
|''B\\''
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
| colspan="2" |G#
|164.706-169.412
|171.429
| colspan="2" |167.843-177.255
|173.756
| colspan="2" |171.765-181.1765
|178.8235
| colspan="2" |174.9736-184.385
|180.392
|181.513-186.2185
|-
|-
|3
|16\13
|Jp
|86.878
|''Ap''
|
|J
|''A''
|247.059-254.118
|257.143
| colspan="2" |251.765-265.882
|260.6335
| colspan="2" |257.647-271.765
|268.235
| colspan="2" |262.46-276.5775
|270.588
|272.268-279.328
|-
|-
|4
|21\17
|J
|87.197
|''B''
|
|A
|''B''
|329.412-338.8235
|342.857
| colspan="2" |335.686-354.51
|347.511
| colspan="2" |345.882-362.353
|357.647
| colspan="2" |349.9465-368.77
|360.784
|363.025-372.437
|-
|-
|5
|5\4
|B
|''88.235''
|''C''
|Subpental Dorian mode ends, Pental Dorian mode begins
|Bb
|''Cb''
|411.765-423.529
|428.571
| colspan="2" |419.608-443.137
|434.389
| colspan="2" |432.353-452.941
|447.059
| colspan="2" |437.433-460.963
|450.98
|453.7815-465.546
|-
|-
|6
|24\19
|C\\
|89.164
|''Q\\''
|
|A#
|''B#''
|494.118-508.235
|51<span style="line-height: 1.5;">4.286</span>
| colspan="2" |503.529-531.765
|521.267
| colspan="2" |518.8235-543.529
|536.471
| colspan="2" |524.912-553.155
|541.1765
|544.538-558.6555
|-
|-
|7
|19\15
|Bp
|89.412
|''Cp''
|
|B
|''C''
|576.471-592.941
|600
| colspan="2" |587.451-620.392
|608.145
| colspan="2" |605.294-634.118
|625.882
| colspan="2" |612.406-645.348
|631.3725
|635.394-651.765
|-
|-
|8
|14\11
|C
|89.840
|''Q''
|Pental Dorian mode ends, Superpental Dorian mode begins
|C
|''Q''
|658.8235-677.647
|685.714
| colspan="2" |671.3725-709.02
|695.023
| colspan="2" |691.765-724.406
|715.294
| colspan="2" |699.893-737.854
|721.567
|726.05-744.874
|-
|-
|9
|23\18
|Q
|90.196
|''D''
|
|Qb
|Db
|741.1765-762.653
|771.429
| colspan="2" |755.294-797.647
|781.9005
| colspan="2" |777.1765-815.294
|804.706
| colspan="2" |787.38-829.733
|811.765
|816.806-837.983
|-
|-
|10
|9\7
|D\\
|90.756
|''Q\\''
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|C#
|Q#
|823.529-847.059
|857.143
| colspan="2" |839.216-886.2745
|868.778
| colspan="2" |858.8235-905.882
|894.118
| colspan="2" |874.866-921.925
|901.961
|907.563-931.092
|-
|-
|11
|31\24
|Qp
|''91.176''
|''Dp''
|
|Q
|''D''
|905.882-931.765
|942.857
| colspan="2" |923.137-974.902
|955.656
| colspan="2" |951.235-996.471
|983.529
| colspan="2" |962.353-1014.118
|992.157
|998.319-1024.202
|-
|-
|12
|22\17
| colspan="2" |D
|91.349
|D
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|''S''
|988.235-1016.471
|1028.571
| colspan="2" |1007.059-1063.529
|1042.534
| colspan="2" |1037.647-1087.059
|1072.941
| colspan="2" |1049.84-1106.31
|1082.353
|1089.076-1117.311
|-
|-
|13
|35\27
|E
|''S''
| colspan="2" |Eb
|1070.588-1101.1765
|1114.286
| colspan="2" |1090.98-1152.157
|1129.412
| colspan="2" |1124.118-1177.647
|1162.353
| colspan="2" |1137.326-1198.503
|1172.549
|1179.832-1210.42
|-
|14
| colspan="2" |F
|D#
|''S#''
|1152.941-1185.882
|1200
| colspan="2" |1174.902-1240.784
|1216.29
| colspan="2" |1210.588-1268.235
|1251.765
| colspan="2" |1224.813-1290.695
|1262.745
|1270.588-1303.5294
|-
|15
| colspan="2" |G\\
| colspan="2" |E
|1235.294-1270.588
|1285.714
| colspan="2" |1258.8235-1329.412
|1303.167
| colspan="2" |1297.059-1358.8235
|1341.1765
| colspan="2" |1312.2995-1382.888
|1352.941
|1361.3445-1396.639
|-
|16
| colspan="2" |Fp
| colspan="2" |F
|1317.647-1355.294
|1371.429
| colspan="2" |1342.157-1418.039
|1390.045
| colspan="2" |1383.529-1449.412
|1430.588
| colspan="2" |1399.786-1475.08
|1443.137
|1452.101-1489.748
|-
|17
| colspan="4" |G
|1400-1440
|1457.143
| colspan="2" |1426.667-1506.667
|1476.923
| colspan="2" |1460-1540
|1520
| colspan="2" |1487.273-1567.273
|1533.333
|1542.857-1582.857
|}
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! colspan="8" rowspan="2" |Enneatonic
! colspan="4" |Mohajira
! colspan="3" |Beatles
|-
!Min-comma
!''r¢''
!Med
! colspan="2" |Max+comma~Min-comma
!Med
!Max+comma
|-
|1
| colspan="2" |G
| colspan="2" |Gb
|J
|''A''
|Jb
|''Ab''
|88.403-90.756
| colspan="2" |''91.1765''
| colspan="2" |88.9965-93.702
|91.503
|91.503
|91.765-94.118
|
|-
|-
|2
|13\10
|J\\
|91.765
|''A\\''
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
| colspan="2" |F#
|A\\
|''B\\''
| colspan="2" |G#
|176.807-181.513
| colspan="2" |''182.353''
| colspan="2" |177.993-187.405
|183.0065
|183.528-188.235
|-
|-
|3
|17\13
| colspan="2" |Gp
|92.308
| colspan="2" |G
|
|Jp
|''Ap''
|J
|''A''
|265.21-272.268
| colspan="2" |''273.529''
| colspan="2" |266.989-281.107
|274.51
|275.294-282.353
|-
|-
|4
|21\16
|J
|92.647
|A
| Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|J
|''A''
|J
|''B''
|A
|''B''
|353.613-363.025
| colspan="2" |''364.706''
| colspan="2" |355.986-374.81
|366.013
|367.059-376.471
|-
|-
|5
|25\19
|A
|''B''
|Ab
|''Bb''
|B
|''C''
|Bb
|''Cb''
|442.017-453.7815
| colspan="2" |''455.882''
| colspan="2" |444.982-468.512
|457.516
|458.8235-470.588
|-
|6
|B\\
|''H\\''
|J#
|''A#''
|C\\
|''Q\\''
|A#
|''B#''
|530.42-544.538
| colspan="2" |''547.059''
| colspan="2" |533.979-562.2145
|549.02
|550.588-564.706
|-
|7
|Ap
|''Bp''
|A
|''B''
|Bp
|''Cp''
|B
|''C''
|618.8235-635.294
| colspan="2" |''638.235''
| colspan="2" |622.976-655.917
|640.522
|642.353-658.8235
|-
|8
|B
|''H''
|B
|''H''
|C
|''Q''
|C
|''Q''
|707.227-726.05
| colspan="2" |''729.412''
| colspan="2" |711.972-749.619
|732.026
|734.118-752.941
|-
|9
|H
|''C''
|Hb
|''Cb''
|Q
|''D''
|Qb
|Db
|795.63-816.806
| colspan="2" |''820.588''
| colspan="2" |800.969-843.323
|823.529
|825.882-847.059
|-
|10
|C\\
|''D\\''
|B#
|''H#''
|D\\
|''Q\\''
|C#
|Q#
|884.034-907.563
| colspan="2" |''911.765''
| colspan="2" |889.965-937.024
|915.033
|917.647-941.1765
|-
|11
|Hp
|''Cp''
|H
|''C''
|Qp
|''Dp''
|Q
|''D''
|972.437-998.319
| colspan="2" |''1002.941''
| colspan="2" |978.962-1030.727
|1006.536
|1009.412-1035.294
|-
|12
|C
|''D''
|C
|''D''
| colspan="2" |D
|D
|''S''
|1060.84-1089.076
| colspan="2" |''1094.118''
| colspan="2" |1067.9585-1124.429
|1098.039
|1101.1765-1129.412
|-
|13
|D
|''S''
|Db
|''Sb''
|E
|''S''
| colspan="2" |Eb
|1149.244-1179.832
| colspan="2" |''1185.294''
| colspan="2" |1156.955-1218.1315
|1189.5425
|1192.941-1223.529
|-
|14
| colspan="2" |E
|C#
|''D#''
| colspan="2" |F
|D#
|''S#''
|1237.647-1270.588
| colspan="2" |''1276.471''
| colspan="2" |1245.952-1311.834
|1281.046
|1284.706-1317.647
|-
|15
| colspan="2" |F\\
|D
|''S''
| colspan="2" |G\\
| colspan="2" |E
|1326.05-1361.3445
| colspan="2" |''1367.647''
| colspan="2" |1334.948-1405.536
|1372.549
|1376.471-1411.765
|-
|16
| colspan="2" |Ep
| colspan="2" |E
| colspan="2" |Fp
| colspan="2" |F
|1414.454-1452.101
| colspan="2" |''1458.8235''
| colspan="2" |1423.947-1499.239
|1464.052
|1468.235-1505.822
|-
|17
| colspan="4" |F
| colspan="4" |G
|1502.857-1542.857
| colspan="2" |''1550''
| colspan="2" |1512.941-1592.941
|1555.556
|1560-1600
|}
{| class="wikitable"
|-
! rowspan="4" |Degrees
! colspan="4" rowspan="4" |Enneatonic
! colspan="12" |Mixolydian
! colspan="3" rowspan="3" |Mixolydian-Ionian
|-
! colspan="3" rowspan="2" |Subpental
! colspan="3" rowspan="2" |Pental
! colspan="6" |Superpental
|-
! colspan="3" |Soft
! colspan="3" |Intense
|-
!Min-comma
!Med
! colspan="2" |Max+comma~Min-comma
!Med
! colspan="2" |Max+comma~Min-comma
!Med
! colspan="2" |Max+comma~Min-comma
!Med
! colspan="2" |Max+comma~Min-comma
!Med
! |Max+comma
|-
| |1
| colspan="2" |G
| colspan="2" |Gb
|89.412-91.765
|92.308
| colspan="2" |90.294-95
|92.879
|92.879
| colspan="2" |91.765-96.471
|
|94.853
| colspan="2" |92.576-97.282
|96.146
| colspan="2" |95.01-99.716
|97.578
| |98.8235-100.588
|-
|-
| |2
|29\22
|J\\
|93.048
|''A\\''
|
| colspan="2" |F#
|178.8235-183.528
|184.615
| colspan="2" |180.588-190
|185.7585
| colspan="2" |183.529-192.941
|189.706
| colspan="2" |185.152-194.594
|192.292
| colspan="2" |190.02-199.432
|195.156
| |197.647-201.1765
|-
|-
| |3
|33\25
| colspan="2" |Gp
|93.176
| colspan="2" |G
|
|268.235-275.294
|276.923
| colspan="2" |270.882-285
|278.638
| colspan="2" |275.294-289.418
|584.559
| colspan="2" |277.728-291.846
|288.438
| colspan="2" |285.03-299.148
|292.734
| |296.471-301.765
|-
|-
| |4
|4\3
|J
|''94.118''
|A
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|J
|''A''
|357.647-367.059
|369.231
| colspan="2" |361.1765-380
|371.517
| colspan="2" |367.059-385.882
|379.412
| colspan="2" |370.304-389.128
|384.584
| colspan="2" |380.041-398.864
|390.311
| |395.294-402.353
|-
| |5
|A
|''B''
|Ab
|''Bb''
|447.059-458.8235
|461.5385
| colspan="2" |451.471-475
|464.396
| colspan="2" |458.8235-482.353
|474.265
| colspan="2" |462.88-486.41
|480.73
| colspan="2" |475.051-498.58
|487.889
| |494.118-502.941
|-
| |6
|B\\
|''H\\''
|J#
|''A#''
|536.471-550.588
|553.846
| colspan="2" |541.765-570
|557.2755
| colspan="2" |550.588-578.8235
|569.118
| colspan="2" |555.456-583.692
|576.876
| colspan="2" |570.061-598.296
|585.467
| |592.941-603.529
|-
| |7
|Ap
|''Bp''
|A
|''B''
|625.882-642.353
|646.154
| colspan="2" |632.059-665
|650.155
| colspan="2" |642.353-675.294
|663.971
| colspan="2" |648.032-680.974
|673.022
| colspan="2" |665.071-698.012
|683.045
| |691.765-704.118
|-
|8
|B
|''H''
|B
|''H''
|715.294-734.118
|738.4615
| colspan="2" |722.353-760
|743.034
| colspan="2" |734.118-771.765
|758.8235
| colspan="2" |740.6085-778.256
|769.168
| colspan="2" |760.081-797.728
|780.623
|790.588-804.706
|-
|9
|H
|''C''
|Hb
|''Cb''
|804.706-825.882
|830.769
| colspan="2" |812.647-855
|835.913
| colspan="2" |825.882-868.235
|853.6765
| colspan="2" |833.185-875.5375
|865.314
| colspan="2" |855.091-897.444
|878.201
|889.412-905.294
|-
|10
|C\\
|''D\\''
|B#
|''H#''
|894.118-917.647
|923.077
| colspan="2" |902.941-950
|928.793
| colspan="2" |917.647-964.706
|948.529
| colspan="2" |925.761-972.8195
|961.46
| colspan="2" |950.101-997.16
|975.7785
|988.235-1005.882
|-
|11
|Hp
|''Cp''
|H
|''C''
|983.529-1009.412
|1015.385
| colspan="2" |993.235-1045
|1021.672
| colspan="2" |1009.412-1061.1765
|1043.382
| colspan="2" |1018.336-1070.101
|1057.6065
| colspan="2" |1045.112-1096.876
|1073.356
|1087.059-1106.471
|-
|12
|C
|''D''
|C
|''D''
|1072.941-1101.1765
|1107.692
| colspan="2" |1083.529-1140
|1114.551
| colspan="2" |1101.1765-1157.647
|1138.235
| colspan="2" |1110.913-1167.383
|1153.7525
| colspan="2" |1140.122-1196.592
|1170.934
|1185.882-1207.059
|-
|13
|D
|''S''
|Db
|''Sb''
|1162.353-1192.941
|1200
| colspan="2" |1173.8235-1235
|1207.43
| colspan="2" |1192.941-1254.118
|1233.088
| colspan="2" |1203.486-1264.665
|1249.899
| colspan="2" |1235.132-1296.308
|1268.512
|1284.706-1307.647
|-
|-
|14
|19\14
| colspan="2" |E
|95.798
|C#
|
|''D#''
|1251.765-1284.706
|1292.308
| colspan="2" |1264.118-1330
|1300.31
| colspan="2" |1284.706-1350.588
|1327.941
| colspan="2" |1296.065-1361.947
|1346.045
| colspan="2" |1330.142-1396.024
|1366.089
|1383.529-1408.235
|-
|-
|15
|15\11
| colspan="2" |F\\
|96.257
|D
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|''S''
|1341.1765-1376.471
|1384.615
| colspan="2" |1354.412-1425
|1393.189
| colspan="2" |1377.471-1447.059
|1422.794
| colspan="2" |1388.641-1459.229
|1442.191
| colspan="2" |1425.152-1495.74
|1463.668
|1482.352-1508.8235
|-
|-
|16
|26\19
| colspan="2" |Ep
|96.594
| colspan="2" |E
|
|1430.588-1468.235
|1476.923
| colspan="2" |1444.706-1520
|1486.068
| colspan="2" |1468.235-1543.529
|1517.647
| colspan="2" |1481.217-1556.511
|1538.337
| colspan="2" |1520.162-1595.456
|1561.246
|1581.1765-1609.412
|-
|-
|17
|11\8
| colspan="4" |F
|1520-1560
|1569.231
| colspan="2" |1535-1615
|1578.947
| colspan="2" |1560-1640
|1612.5
| colspan="2" |1573.793-1653.793.
|1634.483
| colspan="2" |1615.172-1695.172
|1658.8235
|1680-1720
|}
Relative cents
 
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="4" |Enneatonic
!Intense Aeolian-Subpental Dorian
!Dorian
|-
| |1
|J
|''A''
|Jb
|''Ab''
|''85.294''
|''88.235''
|-
| |2
|A\\
|''B\\''
| colspan="2" |G#
|''170.588''
|''176.471''
|-
| |3
|Jp
|''Ap''
|J
|''A''
|''255.882''
|''264.706''
|-
| |4
|J
|''B''
|A
|''B''
|''341.1765''
|''352.941''
|-
| |5
|B
|''C''
|Bb
|''Cb''
|''426.471''
|''441.1765''
|-
| |6
|C\\
|''Q\\''
|A#
|''B#''
|''511.765''
|''529.412''
|-
| |7
|Bp
|''Cp''
|B
|''C''
|''597.059''
|''617.647''
|-
|8
|C
|''Q''
|C
|''Q''
|''682.353''
|''705.882''
|-
|9
|Q
|''D''
|Qb
|Db
|''767.647''
|''794.118''
|-
|10
|D\\
|''Q\\''
|C#
|Q#
|''852.941''
|''882.353''
|-
|11
|Qp
|''Dp''
|Q
|''D''
|''938.235''
|''970.588''
|-
|12
| colspan="2" |D
|D
|''S''
|''1023.529''
|''1058.8235''
|-
|13
|E
|''S''
| colspan="2" |Eb
|''1108.8235''
|''1147.059''
|-
|14
| colspan="2" |F
|D#
|''S#''
|''1194.118''
|''1235.294''
|-
|15
| colspan="2" |G\\
| colspan="2" |E
|''1279.412''
|''1323.529''
|-
|16
| colspan="2" |Fp
| colspan="2" |F
|''1364.706''
|''1411.765''
|-
|17
| colspan="4" |G
|''1450''
|''1500''
|}
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="4" |Enneatonic
!Subpental-Soft Superpental Mixolydian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
|-
| |1
| colspan="2" |G
| colspan="2" |Gb
|''94.118''
|''97.059''
|''97.059''
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|-
|-
| |2
|18\13
|J\\
|97.738
|''A\\''
|
| colspan="2" |F#
|''188.235''
|''194.118''
|-
| |3
| colspan="2" |Gp
| colspan="2" |G
|''282.353''
|''291.1765''
|-
| |4
|J
|A
|J
|''A''
|''376.471''
|''388.235''
|-
| |5
|A
|''B''
|Ab
|''Bb''
|''470.588''
|''485.294''
|-
| |6
|B\\
|''H\\''
|J#
|''A#''
|''564.706''
|''582.353''
|-
| |7
|Ap
|''Bp''
|A
|''B''
|''658.8235''
|''679.412''
|-
|8
|B
|''H''
|B
|''H''
|''752.941''
|''776.471''
|-
|9
|H
|''C''
|Hb
|''Cb''
|''847.059''
|''873.529''
|-
|-
|10
|25\18
|C\\
|98.032
|''D\\''
|
|B#
|''H#''
|''941.1765''
|''970.588''
|-
|-
|11
|7\5
|Hp
|98.824
|''Cp''
|Mixolydian-Ionian mode ends
|H
|}Golden/Pyrite Tunings±13¢
|''C''
|''1035.294''
|''1067.647''
|-
|12
|C
|''D''
|C
|''D''
|''1129.412''
|''1164.706''
|-
|13
|D
|''S''
|Db
|''Sb''
|''1223.529''
|''1261.765''
|-
|14
| colspan="2" |E
|C#
|''D#''
|''1317.647''
|''1358.8235''
|-
|15
| colspan="2" |F\\
|D
|''S''
|''1411.765''
|''1455.882''
|-
|16
| colspan="2" |Ep
| colspan="2" |E
|''1505.882''
|''1552.941''
|-
|17
| colspan="4" |F
|''1600''
|''1650''
|}
Golden/Pyrite Tunings±13¢


{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
Line 1,627: Line 676:
* [[17ed5/2]] - equal division of the classic major tenth
* [[17ed5/2]] - equal division of the classic major tenth
* [[17ed7/3]] - equal division of the septimal minor tenth
* [[17ed7/3]] - equal division of the septimal minor tenth
[[Category:EdX]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/17edX"