Explanation needed for what this is. See edX maybe?
Intervals
| Degrees
|
Enneatonic
|
Intense Aeolian-Subpental Dorian
|
Dorian
|
| Subpental
|
| Min-comma
|
Med
|
Max+comma
|
Min-comma
|
Med
|
Max+comma
|
Min-comma
|
Med
|
Max+comma
|
Min-comma
|
Med
|
Max+comma
|
| 1
|
Jb
|
Ab
|
74.2105-75.7895
|
76.692
|
79.123-82.281
|
77.733
|
77.368-80.526
|
80
|
78.804-81.964
|
80.702
|
81.203-82.782
|
| 2
|
G#
|
148.421-151.579
|
153.3835
|
158.246-164.561
|
155.466
|
154.737-161.053
|
160
|
157.608-163.923
|
131.4035
|
162.406-165.564
|
| 3
|
J
|
A
|
222.632-227.368
|
230.075
|
237.368-246.842
|
233.198
|
232.105-241.579
|
240
|
236.4115-245.885
|
242.105
|
243.609-248.346
|
| 4
|
A
|
B
|
296.842-303.158
|
306.767
|
316.491-329.123
|
310.931
|
309.474-322.105
|
320
|
315.215-327.847
|
322.807
|
324.812-331.128
|
| 5
|
Bb
|
Cb
|
371.053-378.947
|
383.459
|
395.614-411.4035
|
388.664
|
386.842-402.632
|
400
|
394.019-409.809
|
403.508
|
406.015-413.91
|
| 6
|
A#
|
B#
|
445.263-454.737
|
460.15
|
474.737-493.684
|
466.397
|
464.2105-483.158
|
480
|
472.823-491.77
|
484.2105
|
487.218-496.692
|
| 7
|
B
|
C
|
519.474-530.526
|
536.842
|
553.86-575.965
|
544.13
|
541.579-563.684
|
560
|
551.627-573.732
|
564.912
|
568.421-579.474
|
| 8
|
C
|
Q
|
593.684-606.316
|
612.534
|
632.9825-658.246
|
621.862
|
618.947-644.2015
|
640
|
630.431-544.694
|
645.614
|
647.624-662.256
|
| 9
|
Qb
|
Db
|
667.895-682.105
|
690.226
|
712.105-740.526
|
699.595
|
696.316-724.737
|
720
|
709.234-737.6555
|
726.316
|
730.827-745.038
|
| 10
|
C#
|
Q#
|
742.105-757.895
|
766.917
|
791.228-822.807
|
777.328
|
773.684-805.263
|
800
|
788.038-819.617
|
807.0175
|
812.03-827.8195
|
| 11
|
Q
|
D
|
816.316-833.654
|
843.609
|
870.351-905.088
|
855.061
|
851.053-885.7895
|
880
|
866.842-901.579
|
877.719
|
893.233-910.6015
|
| 12
|
D
|
S
|
890.526-909.474
|
920.301
|
949.474-987.368
|
932.7935
|
928.421-966.316
|
960
|
945.646-983.54
|
968.421
|
974.436-993.3835
|
| 13
|
Eb
|
964.737-985.263
|
996.9925
|
1028.5965-1069.649
|
1010.526
|
1005.7895-1046.842
|
1040
|
1024.45-1065.502
|
1049.123
|
1055.639-1076.165
|
| 14
|
D#
|
S#
|
1038.947-1061.053
|
1073.684
|
1107.719-1151.93
|
1088.259
|
1083.158-1127.368
|
1120
|
1103.254-1147.464
|
1129.825
|
1136.842-1158.947
|
| 15
|
E
|
1113.158-1136.842
|
1150.376
|
1186.842-1234.2105
|
1165.992
|
1160.526-1207.895
|
1200
|
1182.057-1229.426
|
1210.526
|
1218.045-1241.729
|
| 16
|
Fb
|
1187.368-1212.632
|
1227.068
|
1265.965-1316.491
|
1243.725
|
1237.895-1288.421
|
1280
|
1260.861-1311.388
|
1291.229
|
1299.248-1324.511
|
| 17
|
E#
|
1261.579-1288.421
|
1303.759
|
1345.088-1398.772
|
1321.4575
|
1315.263-1368.947
|
1360
|
1339.665-1393.349
|
1371.93
|
1380.451-1407.293
|
| 18
|
F
|
1335.7895-1364.2105
|
1380.451
|
1424.2105-1481.053
|
1399.19
|
1392.632-1449.474
|
1440
|
1418.469-1475.311
|
1452.632
|
1461.654-1490.075
|
| 19
|
G
|
1410-1440
|
1457.143
|
1436.667-1496.667
|
1476.923
|
1470-1530
|
1520
|
1497.273-1557.273
|
1533.333
|
1542.857-1572.857
|
| Degrees
|
Enneatonic
|
Mohajira
|
Beatles
|
| Min-comma
|
r¢
|
Med
|
Max+comma
|
Min-comma
|
Med
|
Max+comma
|
| 1
|
Gb
|
Jb
|
Ab
|
79.624-81.203
|
81.579
|
80.155-83.313
|
81.871
|
82.105-83.684
|
| 2
|
F#
|
G#
|
159.248-162.406
|
163.158
|
160.31-166.625
|
163.743
|
164.2105-167.368
|
| 3
|
G
|
J
|
A
|
238.875-243.609
|
244.737
|
240.464-249.938
|
245.614
|
246.316-251.053
|
| 4
|
J
|
A
|
A
|
B
|
318.496-324.812
|
326.316
|
320.619-333.251
|
327.485
|
328.421-334.737
|
| 5
|
Ab
|
Bb
|
Bb
|
Cb
|
398.12-406.015
|
407.895
|
400.774-416.5635
|
409.357
|
410.526-418.421
|
| 6
|
J#
|
A#
|
A#
|
B#
|
477.744-487.218
|
489.474
|
480.929-499.876
|
491.228
|
492.632-502.105
|
| 7
|
A
|
B
|
B
|
C
|
557.368-568.421
|
571.053
|
561.084-583.189
|
573.099
|
574.737-585.7895
|
| 8
|
B
|
H
|
C
|
Q
|
636.9925-647.624
|
652.632
|
641.238-666.5015
|
654.971
|
656.842-669.474
|
| 9
|
Hb
|
Cb
|
Qb
|
Db
|
716.6165-730.827
|
734.2105
|
721.393-749.8142
|
736.842
|
738.947-753.158
|
| 10
|
B#
|
H#
|
C#
|
Q#
|
796.241-812.03
|
815.7895
|
801.548-833.127
|
818.7135
|
821.053-836.842
|
| 11
|
H
|
C
|
Q
|
D
|
875.865-893.233
|
897.368
|
881.703-916.44
|
900.585
|
903.158-920.526
|
| 12
|
C
|
D
|
D
|
S
|
955.489-974.436
|
978.947
|
961.858-999.752
|
982.456
|
985.263-1004.2105
|
| 13
|
Db
|
Sb
|
Eb
|
1035.113-1055.639
|
1060.526
|
1042.012-1083.065-
|
1064.3275
|
1067.368-1087.895
|
| 14
|
C#
|
D#
|
D#
|
S#
|
1114.737-1136.842
|
1142.105
|
1122.167-1166.378
|
1146.199
|
1149.474-1171.579
|
| 15
|
D
|
S
|
E
|
1194.361-1218.045
|
1223.684
|
1202.322-1249.69
|
1228.07
|
1231.579-1255.263
|
| 16
|
Eb
|
Fb
|
1273.985-1299.248
|
1305.263
|
1282.477-1333.003
|
1309.941
|
1313.684-1338.947
|
| 17
|
D#
|
S#
|
E#
|
1353.609-1380.451
|
1386.842
|
1362.632-1416.316
|
1391.813
|
1395.7895-1422.632
|
| 18
|
E
|
F
|
1433.233-1461.654
|
1468.421
|
1442.786-1499.6285
|
1473.654
|
1477.895-1506.316
|
| 19
|
F
|
G
|
1512.857-1542.857
|
1550
|
1522.941-1582.941
|
1555.556
|
1560-1590
|
| Degrees
|
Enneatonic
|
Major mode Middletown temperament
|
| Mixolydian
|
Mixolydian-Ionian
|
| Subpental
|
Pental
|
Superpental
|
| Soft
|
Intense
|
| Min-comma
|
Med
|
Max+comma
|
Min-comma
|
Med
|
Max+comma
|
Min-comma
|
Med
|
Max+comma
|
Min-comma
|
Med
|
Max+comma
|
Min-comma
|
Med
|
Max+comma
|
| 1
|
Gb
|
80.526-82.105
|
82.591
|
81.316-84.474
|
83.1025
|
82.632-85.7895
|
85.132
|
83.3575-86.515
|
86.025
|
87.0985-88.693
|
87.3065
|
88.421-90
|
| 2
|
F#
|
161.053-164.2105
|
165.182
|
162.632-168.947
|
166.205
|
165.263-171.579
|
170.263
|
166.715-173.031
|
172.051
|
174.197-177.387
|
174.613
|
176.842-180
|
| 3
|
G
|
241.579-246.316
|
247.773
|
243.947-253.421
|
249.3075
|
247.895-257.368
|
255.395
|
250.073-259.546
|
258.076
|
261.296-266.08
|
261.9195
|
265.263-270
|
| 4
|
J
|
A
|
322.105-328.421
|
330.364
|
325.263-337.895
|
332.41
|
330.526-343.158
|
340.526
|
333.73-346.062
|
344.101
|
348.394-354.773
|
349.226
|
353.684-360
|
| 5
|
Ab
|
Bb
|
402.632-410.526
|
412.9555
|
406.579-422.368
|
415.5125
|
413.158-428.947
|
425.658
|
416.788-432.577
|
430.127
|
435.493-443.466
|
436.5325
|
442.105-450
|
| 6
|
J#
|
A#
|
483.158-492.632
|
495.547
|
487.895-506.842
|
498.615
|
495.7895-514.737
|
510.7895
|
500.145-519.093
|
516.1525
|
522.591-532.16
|
523.839
|
530.526-540
|
| 7
|
A
|
B
|
563.684-574.737
|
578.138
|
596.2105-591.316
|
581.7175
|
578.421-600.526
|
595.921
|
583.503-605.608
|
602.178
|
609.69-620.853
|
611.1455
|
618.947-630
|
| 8
|
B
|
H
|
644.2105-656.842
|
660.729
|
650.526-675.7895
|
664.82
|
661.053-686.316
|
681.053
|
666.86-692.123
|
688.203
|
696.788-709.546
|
698.452
|
707.368-720
|
| 9
|
Hb
|
Cb
|
724.737-738.947
|
743.32
|
731.842-760.263
|
747.922
|
743.684-772.105
|
766.184
|
750.218-778.639
|
774.229
|
783.887-798.24
|
785.7585
|
795.7895-810
|
| 10
|
B#
|
H#
|
805.263-821.053
|
825.911
|
813.158-844.737
|
831.025
|
826.316-857.895
|
851.316
|
833.878-865.154
|
860.254
|
870.9855-886.933
|
873.065
|
884.2105-900
|
| 11
|
H
|
C
|
885.7895-903.158
|
908.502
|
894.474-929.2105
|
914.127
|
908.947-943.684.
|
936.477
|
916.933-951.67
|
946.2795
|
958.084-975.626
|
960.3715
|
972.632-990
|
| 12
|
C
|
D
|
966.316-985.263
|
991.093
|
975.7895-1013.684
|
997.23
|
991.579-1029.474
|
1021.579
|
100.29-1038.185
|
1032.305
|
1045.183-1064.319
|
1047.678
|
1061.053-1080
|
| 13
|
Db
|
Sb
|
1046.842-1067.368
|
1073.684
|
1057.105-1098.158
|
1080.332
|
1074.2105-1115.263
|
1106.7105
|
1083.647-1127.7005
|
1118.33
|
1132.281-1153.013
|
1134.9845
|
1149.474-1170
|
| 14
|
C#
|
D#
|
1127.368-1149.474
|
1156.275
|
1138.421-1182.684
|
1163.435
|
1156.842-1201.053
|
1191.842
|
1167.005-1211.216
|
1204.356
|
1219.38-1241.706
|
1222.291
|
1237.895-1260
|
| 15
|
D
|
S
|
1207.895-1231.579
|
1238.866
|
1219.737-1267.105
|
1246.537
|
1239.474-1286.842
|
1276.974
|
1250.363-1297.731
|
1290.381
|
1306.478-1330.399
|
1309.5975
|
1326.316-1350
|
| 16
|
Eb
|
1288.421-1313.684
|
1321.458
|
1301.053-1351.579
|
1329.64
|
1322.105-1372.642
|
1362.105
|
1333.7205-1384.247
|
1376.4065
|
1393.577-1419.093
|
1396.9040
|
1414.737-1440
|
| 17
|
D#
|
S#
|
1368.947-1395.7895
|
1404.049
|
1382.368-1436.053
|
1412.742
|
1404.737-1458.421
|
1447.237
|
1417.078-1470.762
|
1462.432
|
1480.675-1507.786
|
1484.2105
|
1503.158-1530
|
| 18
|
E
|
1449.474-1477.895
|
1486.64
|
1463.684-1520.526
|
1495.845
|
1487.368-1544.2105
|
1532.368
|
1500.436-1557.178
|
1548.457
|
1567.774-1596.479
|
1571.517
|
1591.579-1620
|
| 19
|
F
|
1530-1560
|
1569.231
|
1545-1605
|
1578.947
|
1570-1630
|
1612.5
|
1583.793-1643.793.
|
1634.483
|
1625.172-1685.172
|
1658.8235
|
1680-1710
|
Relative cents
| Degrees
|
Enneatonic
|
Intense Aeolian-Subpental Dorian
|
Dorian
|
| 1
|
Jb
|
Ab
|
76.316
|
78.947
|
| 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
|
Eb
|
992.105
|
1026.316
|
| 14
|
D#
|
S#
|
1068.421
|
1105.263
|
| 15
|
E
|
1144.737
|
1184.2105
|
| 16
|
Fb
|
1221.053
|
1363.156
|
| 17
|
E#
|
1297.368
|
1042.105
|
| 18
|
F
|
1373.684
|
1421.053
|
| 19
|
G
|
1450
|
1500
|
| Degrees
|
Enneatonic
|
Subpental-Soft Superpental Mixolydian
|
Intense Superpental Mixolydian ~ Mixolydian-Ionian
|
| 1
|
Gb
|
84.2105
|
86.842
|
| 2
|
F#
|
168.421
|
173.684
|
| 3
|
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
|
B
|
H
|
673.684
|
694.737
|
| 9
|
Hb
|
Cb
|
757.895
|
781.579
|
| 10
|
B#
|
H#
|
842.105
|
868.421
|
| 11
|
H
|
C
|
926.316
|
955.263
|
| 12
|
C
|
D
|
1010.526
|
1042.105
|
| 13
|
Db
|
Sb
|
1094.737
|
1128.947
|
| 14
|
C#
|
D#
|
1178.947
|
1215.7895
|
| 15
|
D
|
S
|
1263.158
|
1302.632
|
| 16
|
Eb
|
1347.378
|
1389.474
|
| 17
|
D#
|
S#
|
1431.579
|
1476.316
|
| 18
|
E
|
1515.7895
|
1563.158
|
| 19
|
F
|
1600
|
1650
|
Golden/Pyrite Tunings±13¢
| Degrees
|
Enneatonic
|
Intense Aeolian-Subpental Dorian
|
Dorian
|
| Subpental
|
Pental
|
Superpental
|
| 1
|
Jb
|
Ab
|
76.15-77.5185
|
76.887-78.255
|
79.435-80.804
|
79.93-81.2985
|
| 2
|
G#
|
152.3-155.037
|
153.774-156.5105
|
158.87-161.607
|
159.86-162.597
|
| 3
|
J
|
A
|
228.45-232.555
|
230.6605-234.766
|
238.3055-242.411
|
239.79-243.896
|
| 4
|
A
|
B
|
304.6-310.074
|
307.547-313.021
|
317.741-323.214
|
319.72-325.164
|
| 5
|
Bb
|
Cb
|
380.75-387.592
|
384.434-391.276
|
397.176-404.018
|
399.6505-406.493
|
| 6
|
A#
|
B#
|
456.9-465.111
|
461.321-469.5315
|
476.611-484.8215
|
479.581-487.791
|
| 7
|
B
|
C
|
533.05-542.926
|
538.208-547.787
|
556.046-565.625
|
559.511-569.09
|
| 8
|
C
|
Q
|
609.2-620.148
|
615.095-626.042
|
635.481-648.429
|
639.441-650.388
|
| 9
|
Qb
|
Db
|
685.35-697.666
|
691.981-704.297
|
714.9165-727.232
|
719.371-731.687
|
| 10
|
C#
|
Q#
|
761.5-775.185
|
768.868-782.5525
|
794.352-808.036
|
799.301-812.985
|
| 11
|
Q
|
D
|
837.6505-852.703
|
845.755-860.808
|
873.787-888.8395
|
879.231-894.284
|
| 12
|
D
|
S
|
913.8005-930.222
|
922.642-939.063
|
953.222-969.643
|
959.161-975.582.
|
| 13
|
Eb
|
989.951-1007.74
|
999.529-1017.318
|
1032.657-1050.447
|
1039.091-1056.881
|
| 14
|
D#
|
S#
|
1066.101-1085.2585
|
1076.416-1095.5735
|
1112.092-1131.25
|
1119.021-1138.179
|
| 15
|
E
|
1142.251-1162.777
|
1153.302-1173.829
|
1191.5275-1212.054
|
1198.9515-1219.478
|
| 16
|
Fb
|
1218.401-1240.295
|
1230.159-1525.054
|
1270.963-1292.857
|
1279.882-1300.776
|
| 17
|
E#
|
1294.551-1317.814
|
1307.0769-1330.339
|
1350.298-1373.661
|
1358.612-1382.075
|
| 18
|
F
|
1370.701-1395.332
|
1383.963-1408.594
|
1429.833-1454.465
|
1438.742-1463.373
|
| 19
|
G
|
1446.851-1472.851
|
1460.85-1486.85
|
1509.268-1535.268
|
1518.672-1544.672
|
| Degrees
|
Enneatonic
|
Mohajira
|
Beatles
|
| 1
|
Gb
|
Jb
|
Ab
|
80.942-82.31
|
81.149-82.517
|
| 2
|
F#
|
G#
|
161.884-164.621
|
162.297-165.034
|
| 3
|
G
|
J
|
A
|
242.826-246.931
|
246.446-247.551
|
| 4
|
J
|
A
|
A
|
B
|
323.7675-329.241
|
324.594-330.068
|
| 5
|
Ab
|
Bb
|
Bb
|
Cb
|
404.709-411.5515
|
405.716-412.585
|
| 6
|
J#
|
A#
|
A#
|
B#
|
485.651-493.862
|
486.8915-495.102
|
| 7
|
A
|
B
|
B
|
C
|
566.593-576.172
|
568.04-577.619
|
| 8
|
B
|
H
|
C
|
Q
|
647.535-658.482
|
649.189-660.136
|
| 9
|
Hb
|
Cb
|
Qb
|
Db
|
728.477-740.792
|
730.337-742.653
|
| 10
|
B#
|
H#
|
C#
|
Q#
|
809.419-823.103
|
811.486-825.17
|
| 11
|
H
|
C
|
Q
|
D
|
890.361-905.413
|
892.6345-907.687
|
| 12
|
C
|
D
|
D
|
S
|
971.302-987.7235
|
973.783-990.204
|
| 13
|
Db
|
Sb
|
Eb
|
1052.244-1070.034
|
1054.932-1072.721
|
| 14
|
C#
|
D#
|
D#
|
S#
|
1133.186-1152.344
|
1136.08-1155.238
|
| 15
|
D
|
S
|
E
|
1214.128-1234.654
|
1217.229-1237.755
|
| 16
|
Eb
|
Fb
|
1295.07-1316.965
|
1298.377-1320.272
|
| 17
|
D#
|
S#
|
E#
|
1376.012-1399.275
|
1379.526-1402.789
|
| 18
|
E
|
F
|
1456.954-1481.585
|
1460.675-1485.306
|
| 19
|
F
|
G
|
1537.8955-1563.8955
|
1541.823-1577.823
|
| Degrees
|
Enneatonic
|
Mixolydian
|
Mixolydian-Ionian
|
| Subpental
|
Pental
|
Superpental
|
| Soft
|
Intense
|
| 1
|
Gb
|
81.9905-83.359
|
82.347-83.716
|
84.209-85.557
|
85.598-86.967
|
86.556-87.924
|
| 2
|
F#
|
163.981-166.718
|
164.694-167.431
|
168.417-171.154
|
171.1965-173.933
|
173.112-175.849
|
| 3
|
G
|
245.971-250.077
|
247.0415-251.147
|
252.626-256.731
|
256.795-260.9
|
259.668-263.773
|
| 4
|
J
|
A
|
327.962-333.436
|
329.389-334.862
|
336.835-342.308
|
342.393-347.867
|
346.224-351.6975
|
| 5
|
Ab
|
Bb
|
409.953-416.795
|
411.736-418.578
|
421.043-427.885
|
427.991-434.833
|
432.78-439.622
|
| 6
|
J#
|
A#
|
491.943-500.154
|
494.083-502.2935
|
505.252-513.462
|
513.59-521.8
|
519.336-527.546
|
| 7
|
A
|
B
|
573.934-583.513
|
576.43-586.001
|
589.4605-599.0395
|
599.188-608.767
|
605.892-615.471
|
| 8
|
B
|
H
|
655.924-666.872
|
658.777-669.725
|
673.669-684.6165
|
684.786-694.733
|
692.448-703.395
|
| 9
|
Hb
|
Cb
|
737.915-750.231
|
741.1245-752.44
|
757.878-770.194
|
770.384-782.7
|
779.004-791.319
|
| 10
|
B#
|
H#
|
819.9055-833.59
|
834.451-837.156
|
842.086-855.771
|
855.983-879.244
|
865.56-881.262
|
| 11
|
H
|
C
|
901.896-916.949
|
905.819-917.156
|
926.295-941.348
|
941.581-956.6335
|
952.1155-967.168
|
| 12
|
C
|
D
|
983.887-1000.308
|
988.166-1000.8715
|
1010.503-1026.925
|
1027.179-1043.6
|
1038.6715-1055.093
|
| 13
|
Db
|
Sb
|
1065.877-1083.667
|
1070.513-1084.587
|
1094.712-1112.502
|
1112.777-1130.567
|
1125.2275-1143.017
|
| 14
|
C#
|
D#
|
1147.868-1167.026
|
1152.86-1168.303
|
1178.921-1198.079
|
1198.376-1217.5335
|
1211.783-1230.941
|
| 15
|
D
|
S
|
1229.858-1250.3845
|
1235.2075-1252.018
|
1263.13-1283.656
|
1283.974-1304.5
|
1298.339-1318.451
|
| 16
|
Eb
|
1311.849-1333.743
|
1317.555-1339.734
|
1347.338-1369.233
|
1369.572-1389.467
|
1384.895-1406.79
|
| 17
|
D#
|
S#
|
1393.839-1417.1025
|
1399.912-1423.165
|
1431.547-1454.81
|
1455.17-1478.434
|
1471.451-1494.7145
|
| 18
|
E
|
1475.83-1500.461
|
1399.902-1499.446
|
1515.756-1540.387
|
1540.769-1565.4
|
1558.007-1582.639
|
| 19
|
F
|
1557.82-1583.82
|
1564.596-1590.596
|
1599.964-1625.964
|
1626.366-1652.366
|
1644.563-1670.563
|