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== Intervals ==
== Intervals ==
{| class="wikitable" style="text-align: center"
{| class="wikitable"
! rowspan="3" |Degrees
!Decade
! colspan="2" rowspan="3" |Enneatonic
!Period
! colspan="3" rowspan="2" |Intense Aeolian-Subpental Dorian
! Notes
! colspan="7" |Dorian
|-
|-
! colspan="7" |Subpental
| 6\5
|75.790
|Intense Aeolian-Subpental Dorian mode begins
|-
|-
!Min-comma
|29\24
!Med
|''76.316''
! colspan="2" |Max+comma~Min-comma
|
!Med
!Max+comma~Min-comma
!Med
!Max+comma~Min-comma
!Med
!Max+comma
|-
|-
|1
|23\19
|Jb
|76.454
|''Ab''
|
|73.684-75.7895
|-
|17\14
|76.692
|76.692
| colspan="2" |75.088-79.298
|
|77.733
|76.842-81.053
|80
|78.2775-81.962
|80.702
|81.203-83.308
|-
|-
|2
|11\9
| colspan="2" |G#
|77.193
|147.368-151.579
|Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins
|153.3835
| colspan="2" |150.175-158.5965
|155.466
|153.684-162.105
|160
|156.555-163.923
|131.4035
|162.406-166.617
|-
|-
|3
|16\13
|J
|77.733
|''A''
|
|221.053-227.368
|230.075
| colspan="2" |225.263-237.895
|233.198
|230.526-243.158
|240
|234.8325-245.885
|242.105
|243.609-249.925
|-
|-
|4
|21\17
|A
|78.019
|''B''
|
|294.737-303.158
|306.767
| colspan="2" |300.351-317.193
|310.931
|307.368-324.2105
|320
|313.11-327.847
|322.807
|324.812-333.233
|-
|-
|5
|5\4
|Bb
|''78.947''
|''Cb''
|Subpental Dorian mode ends, Pental Dorian mode begins
|368.421-378.947
|383.459
| colspan="2" |375.439-396.491
|388.664
|384.2105-405.263
|400
|391.388-409.809
|403.508
|406.015-416.541
|-
|-
|6
|24\19
|A#
|79.778
|''B#''
|
|442.105-454.737
|460.15
| colspan="2" |450.526-475.7895
|466.397
|461.053-486.316
|480
|469.665-491.77
|484.2105
|487.218-499.85
|-
|-
|7
|19\15
|B
|80.000
|''C''
|
|515.7895-530.526
|536.842
| colspan="2" |525.614-555.088
|544.13
|537.895-567.368
|560
|547.943-573.732
|564.912
|568.421-583.158
|-
|-
|8
|14\11
|C
|80.383
|''Q''
|Pental Dorian mode ends, Superpental Dorian mode begins
|589.474-606.316
|612.534
| colspan="2" |600.702-634.386
|621.862
|614.737-648.421
|640
|626.22-544.694
|645.614
|647.624-666.466
|-
|-
|9
|23\18
|Qb
|80.702
|''Db''
|
|663.158-682.105
|690.226
| colspan="2" |675.7895-713.684
|699.595
|691.579-729.474
|720
|704.498-737.6555
|726.316
|730.827-749.774
|-
|10
|C#
|''Q#''
|736.842-757.895
|766.917
| colspan="2" |750.877-792.9825
|777.328
|768.421-810.526
|800
|782.775-819.617
|807.0175
|812.03-833.083
|-
|11
|Q
|''D''
|810.526-833.654
|843.609
| colspan="2" |825.965-872.281
|855.061
|845.263-891.579
|880
|861.053-901.579
|877.719
|893.233-916.391
|-
|12
|D
|''S''
|884.2105-909.474
|920.301
| colspan="2" |901.053-951.579
|932.7935
|922.105-972.632
|960
|939.33-983.54
|968.421
|974.436-999.699
|-
|13
| colspan="2" |Eb
|957.895-985.263
|996.9925
| colspan="2" |976.14-1030.877
|1010.526
|998.947-1053.684
|1040
|1017.308-1065.502
|1049.123
|1055.639-1083.0075
|-
|14
|D#
|''S#''
|1031.579-1061.053
|1073.684
| colspan="2" |1051.228-1110.175
|1088.259
|1075.7895-1134.737
|1120
|1095.885-1147.464
|1129.825
|1136.842-1166.316
|-
|15
| colspan="2" |E
|1104.263-1136.842
|1150.376
| colspan="2" |1126.316-1189.474
|1165.992
|1152.612-1215.7895
|1200
|1174.163-1229.426
|1210.526
|1218.045-1249.624
|-
|16
| colspan="2" |Fb
|1177.947-1212.632
|1227.068
| colspan="2" |1201.4035-1268.772
|1243.725
|1229.474-1296.842
|1280
|1252.44-1311.388
|1291.229
|1299.248-1332.932
|-
|17
| colspan="2" |E#
|1252.612-1288.421
|1303.759
| colspan="2" |1276.491-1348.07
|1321.4575
|1306.316-1377.895
|1360
|1330.718-1393.349
|1371.93
|1380.451-1416.241
|-
|18
| colspan="2" |F
|1326.316-1364.2105
|1380.451
| colspan="2" |1351.579-1427.368
|1399.19
|1383.158-1458.947
|1440
|1408.995-1475.311
|1452.632
|1461.654-1499.549
|-
|19
| colspan="2" |G
|1400-1440
|1457.143
| colspan="2" |1426.667-1506.667
|1476.923
|1460-1540
|1520
|1487.273-1567.273
|1533.333
|1542.857-1582.857
|}
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! colspan="4" 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" |Gb
|Jb
|Ab
|79.097-81.203
| colspan="2" |''81.579''
| colspan="2" |79.6285-83.839
|81.871
|82.105-84.2105
|-
|2
| colspan="2" |F#
| colspan="2" |G#
|158.1955-162.406
| colspan="2" |''163.158''
| colspan="2" |159.257-167.678
|163.743
|164.2105-168.421
|-
|3
| colspan="2" |G
|J
|''A''
|237.293-243.609
| colspan="2" |''244.737''
| colspan="2" |238.8855-251.517
|245.614
|246.316-252.632
|-
|4
|J
|''A''
|A
|''B''
|316.391-324.812
| colspan="2" |''326.316''
| colspan="2" |318.514-335.356
|327.485
|328.421-336.842
|-
|5
|Ab
|''Bb''
|Bb
|''Cb''
|395.489-406.015
| colspan="2" |''407.895''
| colspan="2" |398.142-419.195
|409.357
|410.526-421.053
|-
|6
|J#
|''A#''
|A#
|''B#''
|474.5865-487.218
| colspan="2" |''489.474''
| colspan="2" |477.771-503.034
|491.228
|492.632-505.263
|-
|7
|A
|''B''
|B
|''C''
|553.684-568.421
| colspan="2" |''571.053''
| colspan="2" |557.399-585.873
|573.099
|574.737-589.474
|-
|8
|B
|''H''
|C
|''Q''
|632.782-647.624
| colspan="2" |''652.632''
| colspan="2" |637.028-670.712
|654.971
|656.842-683.684
|-
|9
|Hb
|''Cb''
|Qb
|''Db''
|711.88-730.827
| colspan="2" |''734.2105''
| colspan="2" |716.656-754.551
|736.842
|738.947-757.895
|-
|10
|B#
|''H#''
|C#
|''Q#''
|790.977-812.03
| colspan="2" |''815.7895''
| colspan="2" |796.285-838.39
|818.7135
|821.053-842.105
|-
|11
|H
|''C''
|Q
|''D''
|870.075-893.233
| colspan="2" |''897.368''
| colspan="2" |875.913-922.229
|900.585
|903.158-926.316
|-
|12
|C
|''D''
|D
|''S''
|949.173-974.436
| colspan="2" |''978.947''
| colspan="2" |955.541-1006.068
|982.456
|985.263-1010.526
|-
|13
|Db
|''Sb''
| colspan="2" |Eb
|1028.271-1055.639
| colspan="2" |''1060.526''
| colspan="2" |1038.17-1089.907
|1064.3275
|1067.368-1094.737
|-
|14
|C#
|''D#''
|D#
|''S#''
|1107.368-1136.842
| colspan="2" |''1142.105''
| colspan="2" |1114.799-1173.746
|1146.199
|1149.474-1178.947
|-
|15
|D
|''S''
| colspan="2" |E
|1186.466-1218.045
| colspan="2" |''1223.684''
| colspan="2" |1194.427-1257.585
|1228.07
|1231.579-1263.158
|-
|16
| colspan="2" |Eb
| colspan="2" |Fb
|1265.564-1299.248
| colspan="2" |''1305.263''
| colspan="2" |1274.056-1341.424
|1309.941
|1313.684-1347.368
|-
|17
|D#
|''S#''
| colspan="2" |E#
|1344.662-1380.451
| colspan="2" |''1386.842''
| colspan="2" |1353.684-1425.263
|1391.813
|1395.7895-1431.579
|-
|18
| colspan="2" |E
| colspan="2" |F
|1423.759-1461.654
| colspan="2" |''1468.421''
| colspan="2" |1433.313-1509.102
|1473.654
|1477.895-1517.7895
|-
|-
|19
|9\7
| colspan="2" |F
|81.203
| colspan="2" |G
|Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins
|1502.857-1542.857
| colspan="2" |''1550''
| colspan="2" |1512.941-1592.941
|1555.556
|1560-1600
|}
{| class="wikitable"
! rowspan="5" |Degrees
! colspan="2" rowspan="5" |Enneatonic
! colspan="15" |Major mode Middletown temperament
|-
|-
! colspan="12" |Mixolydian
|31\24
! colspan="3" rowspan="3" |Mixolydian-Ionian
|''81.579''
|
|-
|-
! colspan="3" rowspan="2" |Subpental
|22\17
! colspan="3" rowspan="2" |Pental
|81.734
! colspan="6" |Superpental
|Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins
|-
|-
! colspan="3" |Soft
|35\27
! colspan="3" |Intense
|87.872
|
|-
|-
!Min-comma
|13\10
!Med
|82.105
! colspan="2" |Max+comma~Min-comma
|Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins
!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
|17\13
| colspan="2" |Gb
|80-82.105
|82.591
|82.591
| colspan="2" |80.7895-85
|
|83.1025
| colspan="2" |82.105-86.316
|84.868
| colspan="2" |82.831-87.042
|86.025
| colspan="2" |85.009-89.219
|87.3065
| |88.421-90.526
|-
| |2
| colspan="2" |F#
|160-164.2105
|165.182
| colspan="2" |161.579-170
|166.205
| colspan="2" |164.2105-172.632
|169.737
| colspan="2" |165.662-174.0835
|172.051
| colspan="2" |170.018-178.439
|174.613
| |176.842-181.053
|-
| |3
| colspan="2" |G
|240-246.316
|247.773
| colspan="2" |242.368-255
|249.3075
| colspan="2" |246.316-258.947
|254.605
| colspan="2" |248.494-261.125
|258.076
| colspan="2" |255.027-267.659
|261.9195
| |265.263-271.579
|-
| |4
|J
|''A''
|320-328.421
|330.364
| colspan="2" |323.158-340
|332.41
| colspan="2" |328.421-345.263
|339.474
| colspan="2" |331.325-348.167
|344.101
| colspan="2" |340.036-356.878
|349.226
| |353.684-362.105
|-
| |5
|Ab
|''Bb''
|400-410.526
|412.9555
| colspan="2" |403.647-425
|415.5125
| colspan="2" |410.526-431.579
|425.342
| colspan="2" |414.156-435.209
|430.127
| colspan="2" |425.045-446.098
|436.5325
| |442.105-452.632
|-
| |6
|J#
|''A#''
|480-492.632
|495.547
| colspan="2" |484.737-510
|498.615
| colspan="2" |492.632-517.895
|509.2105
| colspan="2" |496.987-522.2505
|516.1525
| colspan="2" |510.054-535.318
|523.839
| |530.526-543.158
|-
| |7
|A
|''B''
|560-574.737
|578.138
| colspan="2" |565.526-595
|581.7175
| colspan="2" |574.737-604.2105
|594.079
| colspan="2" |579.8185-609.292
|602.178
| colspan="2" |595.0635-624.537
|611.1455
| |618.947-633.684
|-
|8
|B
|''H''
|640-656.842
|660.729
| colspan="2" |646.316-680
|664.82
| colspan="2" |656.842-692.526
|678.947
| colspan="2" |662.65-696.334
|688.203
| colspan="2" |680.073-713.757
|698.452
|707.368-724.2105
|-
|9
|Hb
|''Cb''
|720-738.947
|743.32
| colspan="2" |727.105-765
|747.922
| colspan="2" |738.947-778.842
|763.816
| colspan="2" |745.481-783.376
|774.229
| colspan="2" |765.082-802.9765
|785.7585
|795.7895-814.737
|-
|10
|B#
|''H#''
|800-821.053
|825.911
| colspan="2" |807.895-850
|831.025
| colspan="2" |821.053-863.158
|848.684
| colspan="2" |828.312-870.418
|860.254
| colspan="2" |850.091-892.196
|873.065
|884.2105-905.263
|-
|11
|H
|''C''
|880-903.158
|908.502
| colspan="2" |888.684-935
|914.127
| colspan="2" |903.158-949.474
|933.553
| colspan="2" |911.143-957.459
|946.2795
| colspan="2" |935.1-981.416
|960.3715
|972.632-995.7895
|-
|12
|C
|''D''
|960-985.263
|991.093
| colspan="2" |969.474-1020
|997.23
| colspan="2" |985.263-1035.7895
|1018.421
| colspan="2" |993.975-1044.501
|1032.305
| colspan="2" |1020.109-1070.635
|1047.678
|1061.053-1086.316
|-
|13
|Db
|''Sb''
|1040-1067.368
|1073.684
| colspan="2" |1060.263-1105
|1080.332
| colspan="2" |1067.368-1122.105
|1103.2895
| colspan="2" |1076.805-1131.543
|1118.33
| colspan="2" |1105.118-1159.854
|1134.9845
|1149.474-1176.842
|-
|14
|C#
|''D#''
|1120-1149.474
|1156.275
| colspan="2" |1131.053-1190
|1163.435
| colspan="2" |1149.474-1208.421
|1188.158
| colspan="2" |1159.637-1218.584
|1204.356
| colspan="2" |1190.127-1249.074
|1222.291
|1237.895-1267.368
|-
|15
|D
|''S''
|1200-1231.579
|1238.866
| colspan="2" |1211.842-1275
|1246.537
| colspan="2" |1231.579-1294.737
|1273.026
| colspan="2" |1242.468-1205.626
|1290.381
| colspan="2" |1275.136-1338.294
|1309.5975
|1326.316-1357.895
|-
|16
| colspan="2" |Eb
|1280-1313.684
|1321.458
| colspan="2" |1292.632-1360
|1329.64
| colspan="2" |1313.684-1381.053
|1357.895
| colspan="2" |1325.2995-1392.668
|1376.4065
| colspan="2" |1360.145-1427.514
|1396.9040
|1414.737-1448.421
|-
|17
|D#
|''S#''
|1360-1395.7895
|1404.049
| colspan="2" |1373.421-1445
|1412.742
| colspan="2" |1395.7895-1467.368
|1442.763
| colspan="2" |1408.131-1479.71
|1462.432
| colspan="2" |1445.154-1516.733
|1484.2105
|1503.158-1538.947
|-
|18
| colspan="2" |E
|1440-1477.895
|1486.64
| colspan="2" |1454.2105-1530
|1495.845
| colspan="2" |1477.895-1555.684
|1524.932
| colspan="2" |1490.962-1566.751
|1548.457
| colspan="2" |1530.163-1605.953
|1571.517
|1591.579-1629.474
|-
|19
| colspan="2" |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="2" |Enneatonic
!Intense Aeolian-Subpental Dorian
!Dorian
|-
| |1
|Jb
|Ab
|76.316
|78.947
|-
| |2
| colspan="2" |G#
|152.632
|157.895
|-
| |3
|J
|''A''
|228.947
|236.842
|-
| |4
|A
|''B''
|305.263
|315.7895
|-
| |5
|Bb
|''Cb''
|381.579
|394.737
|-
| |6
|A#
|''B#''
|457.895
|473.684
|-
| |7
|B
|''C''
|534.2105
|552.632
|-
|8
|C
|''Q''
|610.526
|631.579
|-
|9
|Qb
|''Db''
|686.842
|710.526
|-
|10
|C#
|''Q#''
|763.158
|789.474
|-
|11
|Q
|''D''
|839.474
|868.421
|-
|12
|D
|''S''
|915.7895
|947.378
|-
|13
| colspan="2" |Eb
|992.105
|1026.316
|-
|14
|D#
|''S#''
|1068.421
|1105.263
|-
|15
| colspan="2" |E
|1144.737
|1184.2105
|-
|16
| colspan="2" |Fb
|1221.053
|1263.156
|-
|17
| colspan="2" |E#
|1297.368
|1342.105
|-
|18
| colspan="2" |F
|1373.684
|1421.053
|-
|19
| colspan="2" |G
|1450
|1500
|}
{| class="wikitable" style="text-align: center"
!Degrees
! colspan="2" |Enneatonic
!Subpental-Soft Superpental Mixolydian
!Intense Superpental Mixolydian ~ Mixolydian-Ionian
|-
| |1
| colspan="2" |Gb
|84.2105
|86.842
|-
| |2
| colspan="2" |F#
|168.421
|173.684
|-
| |3
| colspan="2" |G
|252.632
|260.526
|-
| |4
|J
|''A''
|336.842
|347.368
|-
| |5
|Ab
|''Bb''
|421.053
|434.2105
|-
| |6
|J#
|''A#''
|505.263
|521.05
|-
| |7
|A
|''B''
|589.474
|607.895
|-
|-
|8
|21\16
|B
|82.896
|''H''
|Subpental Mixolydian mode ends, Pental Mixolydian mode begins
|673.684
|694.737
|-
|-
|9
|25\19
|Hb
|83.102
|''Cb''
|
|757.895
|781.579
|-
|-
|10
|29\22
|B#
|83.253
|''H#''
|
|842.105
|868.421
|-
|-
|11
|33\25
|H
|83.368
|''C''
|
|926.316
|955.263
|-
|-
|12
|4\3
|C
|''84.211''
|''D''
|Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins
|1010.526
|1042.105
|-
|-
|13
|19\14
|Db
|85.714
|''Sb''
|
|1094.737
|1128.947
|-
|-
|14
|15\11
|C#
|86.124
|''D#''
|Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins
|1178.947
|1215.7895
|-
|-
|15
|26\19
|D
|86.427
|''S''
|
|1263.158
|1302.632
|-
|-
|16
|11\8
| colspan="2" |Eb
|''86.842''
|1347.378
|Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins
|1389.474
|-
|-
|17
|18\13
|D#
|87.449
|''S#''
|
|1431.579
|1476.316
|-
|-
|18
|25\18
| colspan="2" |E
|87.719
|1515.7895
|
|1563.158
|-
|-
|19
|7\5
| colspan="2" |F
|88.421
|1600
|Mixolydian-Ionian mode ends
|1650
|}Golden/Pyrite Tunings±13¢
|}
Golden/Pyrite Tunings±13¢
{| class="wikitable" style="text-align: center"
{| class="wikitable" style="text-align: center"
! rowspan="2" |Degrees
! rowspan="2" |Degrees
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