Explanation needed for what this is. See edX maybe?
Intervals
| Degrees
|
Enneatonic
|
Intense Aeolian-Subpental Dorian
|
Dorian
|
| Subpental
|
| Min
|
Golden±13¢
|
r¢
|
Max
|
Min
|
7/3±13¢
|
Golden±13¢
|
Max
|
Min
|
Golden±13¢
|
Max
|
Min
|
Golden±13¢
|
Max
|
| 1
|
Jb
|
Ab
|
75.7895
|
76.15-77.5185
|
76.316
|
77.193
|
76.5195-77.888
|
76.887-78.255
|
78.947
|
79.435-80.804
|
80.383
|
79.93-81.2985
|
81.203
|
| 2
|
G#
|
151.579
|
152.3-155.037
|
152.632
|
154.386
|
153.039-155.776
|
153.774-156.5105
|
157.895
|
158.87-161.607
|
160.766
|
159.86-162.597
|
162.406
|
| 3
|
J
|
A
|
227.368
|
228.45-232.555
|
228.947
|
231.579
|
229.559-233.664
|
230.6605-234.766
|
236.842
|
238.3055-242.411
|
241.148
|
239.79-243.896
|
243.609
|
| 4
|
A
|
B
|
303.158
|
304.6-310.074
|
305.263
|
308.772
|
306.078-311.552
|
307.547-313.021
|
315.7895
|
317.741-323.214
|
321.531
|
319.72-325.164
|
324.812
|
| 5
|
Bb
|
Cb
|
378.947
|
380.75-387.592
|
381.579
|
385.965
|
382.598-389.44
|
384.434-391.276
|
394.737
|
397.176-404.018
|
401.914
|
399.6505-406.493
|
406.015
|
| 6
|
A#
|
B#
|
454.737
|
456.9-465.111
|
457.895
|
463.158
|
459.117-467.328
|
461.321-469.5315
|
473.684
|
476.611-484.8215
|
482.297
|
479.581-487.791
|
487.218
|
| 7
|
B
|
C
|
530.526
|
533.05-542.926
|
534.2105
|
540.351
|
535.637-545.216
|
538.208-547.787
|
552.632
|
556.046-565.625
|
592.679
|
559.511-569.09
|
568.421
|
| 8
|
C
|
Q
|
606.316
|
609.2-620.148
|
610.526
|
617.544
|
612.156-623.1035
|
615.095-626.042
|
631.579
|
635.481-648.429
|
643.062
|
639.441-650.388
|
647.624
|
| 9
|
Qb
|
Db
|
682.105
|
685.35-697.666
|
686.842
|
694.737
|
688.676-700.9915
|
691.981-704.297
|
710.526
|
714.9165-727.232
|
723.445
|
719.371-731.687
|
730.827
|
| 10
|
C#
|
Q#
|
757.895
|
761.5-775.185
|
763.158
|
771.93
|
765.195-778.879
|
768.868-782.5525
|
789.474
|
794.352-808.036
|
803.828
|
799.301-812.985
|
812.03
|
| 11
|
Q
|
D
|
833.654
|
837.6505-852.703
|
839.474
|
849.123
|
841.715-856.767.
|
845.755-860.808
|
868.421
|
873.787-888.8395
|
884.2105
|
879.231-894.284
|
893.233
|
| 12
|
D
|
S
|
909.474
|
913.8005-930.222
|
915.7895
|
926.326
|
918.234-934.655
|
922.642-939.063
|
947.378
|
953.222-969.643
|
964.593
|
959.161-975.582.
|
974.436
|
| 13
|
Eb
|
985.263
|
989.951-1007.74
|
992.105
|
1003.509
|
994.754-1012.543
|
999.529-1017.318
|
1026.316
|
1032.657-1050.447
|
1044.976
|
1039.091-1056.881
|
1055.639
|
| 14
|
D#
|
S#
|
1061.053
|
1066.101-1085.2585
|
1068.421
|
1080.702
|
1071.273-1090.431
|
1076.416-1095.5735
|
1105.263
|
1112.092-1131.25
|
1125.359
|
1119.021-1138.179
|
1136.842
|
| 15
|
E
|
1136.842
|
1142.251-1162.777
|
1144.737
|
1107.895
|
1147.793-1168.319
|
1153.302-1173.829
|
1184.2105
|
1191.5275-1212.054
|
1205.742
|
1198.9515-1219.478
|
1218.045
|
| 16
|
Fb
|
1212.632
|
1218.401-1240.295
|
1221.053
|
1235.088
|
1224.312-1266.207
|
1230.159-1525.054
|
1363.156
|
1270.963-1292.857
|
1286.124
|
1279.882-1300.776
|
1299.248
|
| 17
|
E#
|
1288.421
|
1294.551-1317.814
|
1297.368
|
1312.181
|
1300.832--1324.095
|
1307.0769-1330.339
|
1042.105
|
1350.298-1373.661
|
1366.507
|
1358.612-1382.075
|
1380.451
|
| 18
|
F
|
1364.2105
|
1370.701-1395.332
|
1373.684
|
1389.474
|
1377.351-1401.983
|
1383.963-1408.594
|
1421.053
|
1429.833-1454.465
|
1446.89
|
1438.742-1463.373
|
1461.654
|
| 19
|
G
|
1440
|
1446.851-1472.851
|
1450
|
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¢
|
r¢
|
Max
|
| 1
|
Gb
|
Jb
|
Ab
|
81.203
|
80.758-82.127
|
81.149-82.517
|
81.579
|
82.105
|
| 2
|
F#
|
G#
|
162.406
|
161.517-164.2535
|
162.297-165.034
|
163.158
|
164.2105
|
| 3
|
G
|
J
|
A
|
243.609
|
242.275-246.38
|
243.446-247.551
|
244.737
|
246.316
|
| 4
|
J
|
A
|
A
|
B
|
324.812
|
323.033-328.507
|
324.594-330.068
|
326.316
|
328.421
|
| 5
|
Ab
|
Bb
|
Bb
|
Cb
|
406.015
|
403.792-410.634
|
405.743-412.585
|
407.895
|
410.526
|
| 6
|
J#
|
A#
|
A#
|
B#
|
487.218
|
484.55-492.76
|
486.8915-495.102
|
489.474
|
492.632
|
| 7
|
A
|
B
|
B
|
C
|
568.421
|
565.308-574.887
|
568.04-577.619
|
571.053
|
574.737
|
| 8
|
B
|
H
|
C
|
Q
|
647.624
|
646.0665-657.014
|
649.189-660.136
|
652.632
|
656.842
|
| 9
|
Hb
|
Cb
|
Qb
|
Db
|
730.827
|
726.825-739.141
|
730.337-742.653
|
734.2105
|
738.947
|
| 10
|
B#
|
H#
|
C#
|
Q#
|
812.03
|
807.583-821.267
|
811.486-825.17
|
815.7895
|
821.053
|
| 11
|
H
|
C
|
Q
|
D
|
893.233
|
888.341-903.394
|
892.6345-907.687
|
897.368
|
903.158
|
| 12
|
C
|
D
|
D
|
S
|
974.436
|
969.1-985.52
|
973.783-990.304
|
978.947
|
985.263
|
| 13
|
Db
|
Sb
|
Eb
|
1055.639
|
1049.858-1067.6475
|
1054.932-1072.721
|
1060.526
|
1067.368
|
| 14
|
C#
|
D#
|
D#
|
S#
|
1136.842
|
1130.616-1149.774
|
1136.08-1152.238
|
1142.105
|
1149.474
|
| 15
|
D
|
S
|
E
|
1218.045
|
1211.375-1231.901
|
1217.229-1237.755
|
1223.684
|
1231.579
|
| 16
|
Eb
|
Fb
|
1299.248
|
1292.133-1314.028
|
1298.377-1320.272
|
1305.263
|
1313.684
|
| 17
|
D#
|
S#
|
E#
|
1380.451
|
1372.891-1396.1545
|
1379.526-1402.789
|
1386.842
|
1395.7895
|
| 18
|
E
|
F
|
1461.654
|
1453.65-1478.281
|
1460.675-1485.306
|
1468.421
|
1477.895
|
| 19
|
F
|
G
|
1542.857
|
1534.408-1560.408
|
1541.823-1567.823
|
1550
|
1560
|
| Degrees
|
Enneatonic
|
Major mode Middletown temperament
|
| 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¢
|
r¢
|
Maximum
|
Minimum
|
Golden±13¢
|
Maximum
|
| 1
|
Gb
|
82.105
|
81.9905-83.359
|
82.895
|
82.347-83.716
|
82.806-84.174
|
84.2105
|
84.209-85.557
|
84.9365
|
85.598-86.967
|
86.842
|
87.114
|
86.556-87.924
|
88.421
|
| 2
|
F#
|
164.2105
|
163.981-166.718
|
165.7895
|
164.694-167.431
|
165.612-168.349
|
168.421
|
168.417-171.154
|
169.873
|
171.1965-173.933
|
173.684
|
174.229
|
173.112-175.849
|
176.842
|
| 3
|
G
|
246.316
|
245.971-250.077
|
248.684
|
247.0415-251.147
|
248.418-252.523
|
252.632
|
252.626-256.731
|
254.809
|
256.795-260.9
|
260.526
|
261.343
|
259.668-263.773
|
265.263
|
| 4
|
J
|
A
|
328.421
|
327.962-333.436
|
331.579
|
329.389-334.862
|
331.224-336.698
|
336.842
|
336.835-342.308
|
339.746
|
342.393-347.867
|
347.368
|
348.457
|
346.224-351.6975
|
353.684
|
| 5
|
Ab
|
Bb
|
410.526
|
409.953-416.795
|
414.474
|
411.736-418.578
|
414.03-420.872
|
421.053
|
421.043-427.885
|
424.682
|
427.991-434.833
|
434.2105
|
435.527
|
432.78-439.622
|
442.105
|
| 6
|
J#
|
A#
|
492.632
|
491.943-500.154
|
497.368
|
494.083-502.2935
|
496.835-505.046
|
505.263
|
505.252-513.462
|
509.619
|
513.59-521.8
|
521.05
|
522.686
|
519.336-527.546
|
530.526
|
| 7
|
A
|
B
|
574.737
|
573.934-583.513
|
580.263
|
576.43-586.001
|
579.342-589.221
|
589.474
|
589.4605-599.0395
|
594.555
|
599.188-608.767
|
607.895
|
609.8
|
605.892-615.471
|
618.947
|
| 8
|
B
|
H
|
656.842
|
655.924-666.872
|
663.158
|
658.777-669.725
|
662.448-673.395
|
673.684
|
673.669-684.6165
|
679.491
|
684.786-694.733
|
694.737
|
696.915
|
692.448-703.395
|
707.368
|
| 9
|
Hb
|
Cb
|
738.947
|
737.915-750.231
|
746.053
|
741.1245-752.44
|
745.254-757.57
|
757.895
|
757.878-770.194
|
764.418
|
770.384-782.7
|
781.579
|
784.029
|
779.004-791.31+
|
795.7895
|
| 10
|
B#
|
H#
|
821.053
|
819.9055-833.59
|
828.947
|
834.451-837.156
|
828.06-841.744
|
842.105
|
842.086-855.771
|
849.365
|
855.983-879.244
|
868.421
|
871.143
|
865.56-881.262
|
884.2105
|
| 11
|
H
|
C
|
903.158
|
901.896-916.949
|
911.843
|
905.819-917.156
|
910.866-925.9185
|
926.316
|
926.295-941.348
|
934.302
|
941.581-956.6335
|
955.263
|
958.258
|
952.1155-967.168
|
972.632
|
| 12
|
C
|
D
|
985.263
|
983.887-1000.308
|
994.737
|
988.166-1000.8715
|
993.672-1010.093
|
1010.526
|
1010.503-1026.925
|
1019.238
|
1027.179-1043.6
|
1042.105
|
1045.372
|
1038.6715-1055.093
|
1061.053
|
| 13
|
Db
|
Sb
|
1067.368
|
1065.877-1083.667
|
1077.612
|
1070.513-1084.587
|
1076.478-1094.267
|
1094.737
|
1094.712-1112.502
|
1104.172
|
1112.777-1130.567
|
1128.947
|
1132.486
|
1125.2275-1143.017
|
1149.474
|
| 14
|
C#
|
D#
|
1149.474
|
1147.868-1167.026
|
1160.526
|
1152.86-1168.303
|
1159.284-1178.442
|
1178.947
|
1178.921-1198.079
|
1189.111
|
1198.376-1217.5335
|
1215.7895
|
1220.601
|
1211.783-1230.941
|
1237.895
|
| 15
|
D
|
S
|
1231.579
|
1229.858-1250.3845
|
1243.421
|
1235.2075-1252.018
|
1242.09-1262.616
|
1263.158
|
1263.13-1283.656
|
1274.047
|
1283.974-1304.5
|
1302.632
|
1306.715
|
1298.339-1318.451
|
1326.316
|
| 16
|
Eb
|
1313.684
|
1311.849-1333.743
|
1326.316
|
1317.555-1339.734
|
1324.896-1346.7905
|
1347.378
|
1347.338-1369.233
|
1359.984
|
1369.572-1389.467
|
1389.474
|
1393.829
|
1384.895-1406.79
|
1414.737
|
| 17
|
D#
|
S#
|
1395.7895
|
1393.839-1417.1025
|
1408.2105
|
1399.912-1423.165
|
1407.702-1430.965
|
1431.579
|
1431.547-1454.81
|
1443.98
|
1455.17-1478.434
|
1476.316
|
1480.944
|
1471.451-1494.7145
|
1503.158
|
| 18
|
E
|
1477.895
|
1475.83-1500.461
|
1491.105
|
1399.902-1499.446
|
1490.507-1515.139
|
1515.7895
|
1515.756-1540.387
|
1526.8275
|
1540.769-1565.4
|
1563.158
|
1568.058
|
1558.007-1582.639
|
1591.579
|
| 19
|
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
|
1650
|
1655.172
|
1644.563-1670.563
|
1680
|