This scale, a Long Common Practice minor mode, occurs in 12edo; where it is the equal division of the minor ninth. It has the Grandfather 5L 3s MOS with a 2:1 ratio of large against small.
Intervals
| Degrees
|
Octatonic
|
Soft Phrygian
|
Phrygian
|
| Minimum-comma
|
Median
|
Maximum+comma
|
Thirdtone
|
Semitone
|
| Minimum-comma
|
Median
|
Maximum+comma
|
Minimum-comma
|
Median
|
Maximum+comma
|
| 1
|
G#/Ab
|
89.231-92.308
|
96.5035
|
93.626-99.78
|
97.436-97.582
|
95.385-101.978
|
99.692-100
|
101.5385-104.615
|
| 2
|
A
|
178.4615-184.615
|
193.007
|
187.253-199.56
|
194.872-195.165
|
190.769-203.956
|
199.385-200
|
203.077-209.231
|
| 3
|
A#/Bb
|
267.692-276.923
|
289.5105
|
280.879-299.341
|
292.308-292.747
|
286.154-305.934
|
299.077-300
|
304.615-313.846
|
| 4
|
B
|
356.923-369.231
|
386.014
|
374.5055-399.121
|
389.735-390.33
|
381.5385-407.912
|
398.769-400
|
406.154-418.4615
|
| 5
|
C
|
446.154-461.5385
|
482.5175
|
468.132-498.901
|
487.1795-487.912
|
476.923-509.89
|
498.4615-500
|
507.692-523.077
|
| 6
|
C#/Qb
|
535.385-553.846
|
579.021
|
561.758-598.681
|
584.615-585.4945
|
572.308-611.868
|
598.154-600
|
609.231-627.692
|
| 7
|
Q
|
624.615-646.154
|
675.5245
|
655.385-698.4615
|
682.051-683.077
|
667.692-713.846
|
697.846-700
|
710.769-732.308
|
| 8
|
D
|
713.846-738.4615
|
772.0228
|
749.011-798.242
|
779.487-780.659
|
763.077-815.824
|
797.5385-800
|
812.308-836.932
|
| 9
|
D#/Eb
|
802.077-830.769
|
868.5315
|
842.637-898.022
|
876.923-878.242
|
858.4615-917.802
|
897.231-900
|
913.846-941.5385
|
| 10
|
E
|
892.308-923.077
|
965.035
|
936.264-997.802
|
974.359-975.824
|
953.846-1019.78
|
996.923-1000
|
1015.385-1046.154
|
| 11
|
E#/Fb
|
981.5385-1015.385
|
1061.5385
|
1029.89-1097.582
|
1071.795-1073.407
|
1049.231-1121.758
|
1096.615-1100
|
1116.923-1150.769
|
| 12
|
F
|
1070.769-1107.692
|
1158.042
|
1123.363-1197.363
|
1169.231-1170.989
|
1144.615-1223.736
|
1196.308-1200
|
1218.4615-1255.385
|
| 13
|
G
|
1160-1200
|
1254.5455
|
1217.143-1297.143
|
1266.667-1268.571
|
1240-1325.714
|
1296-1300
|
1320-1360
|
| Degrees
|
Octatonic
|
Intense Phrygian
|
Intense Phrygian-Soft Aeolian
|
Soft Aeolian
|
| Minimum-comma
|
Median
|
Maximum+comma
|
Minimum-comma
|
Median
|
Maximum+comma
|
Minimum-comma
|
r¢
|
Median
|
Maximum+comma
|
| 1
|
F#/Gb
|
G#/Ab
|
98.4615-101.5385
|
102.024
|
99.487-105.641
|
103.167
|
100.769-106.923
|
103.846
|
104.615
|
105.4945-108.571
|
| 2
|
G
|
A
|
196.923-203.077
|
204.0485
|
198.974-211.282
|
206.335
|
201.5385-213.846
|
207.692
|
209.231
|
210.989-217.143
|
| 3
|
G#/Ab
|
A#/Bb
|
295.385-304.615
|
306.073
|
298.4615-316.923
|
309.502
|
302.308-320.769
|
311.5385
|
313.846
|
316.4835-325.714
|
| 4
|
A
|
B
|
393.846-406.154
|
408.097
|
397.949-422.564
|
412.67
|
403.077-427.692
|
415.385
|
418.4615
|
421.978-434.286
|
| 5
|
B
|
C
|
492.308-507.692
|
510.1215
|
497.436-528.205
|
515.837
|
503.846-534.615
|
519.231
|
523.077
|
527.4725-542.857
|
| 6
|
B#/Hb
|
C#/Qb
|
590.769-609.231
|
612.146
|
596.923-633.846
|
619.0045
|
604.615-641.5385
|
623.077
|
627.692
|
632.967-651.429
|
| 7
|
H
|
Q
|
689.231-710.769
|
714.17
|
696.41-739.487
|
722.172
|
705.385-748.465
|
726.923
|
732.308
|
738.4615-760
|
| 8
|
C
|
D
|
787.692-812.308
|
816.194
|
795.897-845.128
|
825.339
|
806.154-855.385
|
830.769
|
836.923
|
843.856-868.571
|
| 9
|
C#/Db
|
D#/Eb
|
886.154-913.846
|
918.219
|
895.385-948.769
|
929.507
|
906.923-962.308
|
934.615
|
941.5385
|
949.4505-977.143
|
| 10
|
D
|
E
|
984.615-1015.385
|
1020.243
|
994.872-1056.41
|
1031.674
|
1007.692-1069.231
|
1038.4615
|
1046.154
|
1054.945-1085.714
|
| 11
|
D#/Eb
|
E#/Fb
|
1083.077-1116.923
|
1123.267
|
1094.359-1162.051
|
1134.842
|
1108.4615-1176.154
|
1142.308
|
1150.769
|
1160.44-1194.286
|
| 12
|
E
|
F
|
1181.5385-1218.4615
|
1224.291
|
1193.846-1267.692
|
1238.009
|
1209.231-1283.077
|
1246.154
|
1255.385
|
1265.935-1302.857
|
| 13
|
F
|
G
|
1280-1320
|
1326.316
|
1293.333-1373.333
|
1341.1765
|
1310-1390
|
1350
|
1360
|
1371.429-1411.429
|
| Degrees
|
Octatonic
|
Aeolian
|
Intense Aeolian
|
| Flattone
|
Meantone
|
Superpyth
|
Ultrapyth
|
| Minimum-comma
|
Median
|
Maximum+comma
|
Minimum-comma
|
Median
|
Maximum+comma
|
Minimum-comma
|
r¢
|
Median
|
Maximum+comma
|
Minimum-comma
|
Median
|
Maximum+comma
|
| 1
|
F#/Gb
|
102.418-105.4945
|
106.509
|
103.806-109.9595
|
107.077
|
104.615-110.769
|
107.692
|
108.597
|
106.014-112.168
|
109.615
|
110.769-113.846
|
| 2
|
G
|
204.835-210.989
|
213.018
|
207.611-219.919
|
214.154
|
209.231-221.5385
|
215.385
|
217.1945
|
212.028-224.336
|
219.231
|
221.5385-227.692
|
| 3
|
G#/Ab
|
307.253-316.4835
|
319.527
|
311.417-329.8785
|
321.231
|
313.846-332.308
|
323.077
|
325.792
|
318.042-336.5035
|
328.846
|
332.308-341.5385
|
| 4
|
A
|
409.67-421.978
|
426.036
|
415.223-439.838
|
428.308
|
418.4615-443.077
|
430.769
|
434.389
|
424.056-448.671
|
438.4615
|
443.077-455.385
|
| 5
|
B
|
512.088-527.4725
|
532.544
|
519.028-549.798
|
535.385
|
523.077-553.846
|
538.4615
|
542.986
|
530.07-560.839
|
548.077
|
553.846-569.231
|
| 6
|
B#/Hb
|
614.5055-632.967
|
639.053
|
622.834-659.757
|
642.4615
|
627.692-664.615
|
646.154
|
651.584
|
636.084-673.007
|
657.692
|
664.615-683.077
|
| 7
|
H
|
716.923-738.4615
|
745.562
|
726.64-769.717
|
749.5385
|
732.308-775.385
|
754.846
|
760.181
|
742.098-785.175
|
767.308
|
775.385-796.923
|
| 8
|
C
|
819.341-843.856
|
853.071
|
830.445-879.676
|
856.615
|
836.923-886.154
|
861.5385
|
868.778
|
848.112-897.343
|
876.923
|
886.154-910.769
|
| 9
|
C#/Db
|
921.758-949.4505
|
958.58
|
934.251-989.636
|
963.692
|
941.5385-996.923
|
969.231
|
977.376
|
954.126-1009.5105
|
986.5385
|
996.923-1024.615
|
| 10
|
D
|
1024.176-1054.945
|
1065.089
|
1038.057-1099.595
|
1070.769
|
1046.154-1107.692
|
1076.923
|
1085.973
|
1060.14-1121.678
|
1096.154
|
1107.692-1138.4615
|
| 11
|
D#/Eb
|
1126.593-1160.44
|
1171.598
|
1141.862-1209.555
|
1177.846
|
1150.769-1218.4685
|
1184.615
|
1194.57
|
1166.154-1233.846
|
1205.769
|
1218.4615-1252.308
|
| 12
|
E
|
1229.011-1265.934
|
1278.1065
|
1245.668-1319.514
|
1284.923
|
1255.385-1329.231
|
1292.308
|
1303.167
|
1272.168-1346.014
|
1315.385
|
1329.231-1366.154
|
| 13
|
F
|
1331.429-1371.429
|
1384.615
|
1349.474-1429.474
|
1392
|
1360-1440
|
1400
|
1411.765
|
1378.182-1458.182
|
1425
|
1440-1480
|
Golden/Pyrite Tunings±13¢
| Degrees
|
Octatonic
|
Soft Phrygian
|
Phrygian
|
| Min-Med
|
Min-Max/Med-Max
|
Thirdtone
|
Semitone
|
| Min-Med/Min-Max
|
Med-Max
|
Min-Med/Min-Max
|
Med-Max
|
| 1
|
G#/Ab
|
95.389-97.389
|
95.578-97.578
|
95.957-98.345
|
96.785-98.844
|
98.359-100.709
|
99.058-101.523
|
| 2
|
A
|
190.778-194.778
|
191.155-195.155
|
191.914-196.689
|
193.569-197.688
|
196.719-201.417
|
198.1165-203.046
|
| 3
|
A#/Bb
|
286.1665-292.1665
|
286.733-292.733
|
287.871-295.034
|
290.354-296.531
|
295.078-302.126
|
297.175-304.569
|
| 4
|
B
|
381.555-389.555
|
382.3105-390.3105
|
383.828-393.378
|
387.138-395.375
|
393.4375-402.835
|
396.233-406.092
|
| 5
|
C
|
476.944-486.944
|
477.888-487.888
|
479.785-491.723
|
483.923-494.219
|
491.797-503.544
|
495.291-507.615
|
| 6
|
C#/Qb
|
572.333-584.333
|
573.466-585.466
|
575.742-590.068
|
580.707-593.063
|
590.156-604.253
|
594.349-609.138
|
| 7
|
Q
|
667.722-681.722
|
669.043-683.043
|
671.699-688.412
|
677.492-691.907
|
688.516-704.962
|
693.408-710.661
|
| 8
|
D
|
763.111-781.111
|
764.621-780.621
|
767.656-786.757
|
774.2765-790.75
|
786.875-805.67
|
792.466-812.184
|
| 9
|
D#/Eb
|
858.5-876.5
|
860.199-878.199
|
863.613-885.1015
|
871.061-889.594
|
885.234-906.379
|
891.524-913.707
|
| 10
|
E
|
953.8885-973.8885
|
955.776-975.776
|
959.57-983.446
|
967.846-988.438
|
983.594-1007.088
|
990.582-1015.23
|
| 11
|
E#/Fb
|
1049.277-1071.277
|
1051.354-1073.354
|
1055.527-1081.791
|
1064.63-1087.282
|
1081.953-1107.797
|
1089.641-1116.75
|
| 12
|
F
|
1144.666-1168.666
|
1146.932-1170.932
|
1151.484-1180.135
|
1161.415-1186.126
|
1180.312-1208.506
|
1188.699-1218.276
|
| 13
|
G
|
1240.055-1266.055
|
1242.506-1268.509
|
1247.441-1278.48
|
1258.199-1284.969
|
1278.672-1309.2145
|
1287.757-1319.799
|
| Degrees
|
Octatonic
|
Intense Phrygian
|
Intense Phrygian-Soft Aeolian
|
Soft Aeolian
|
| Min-Med/Min-Max
|
Med-Max
|
Min-Med/Min-Max±13¢
|
Median
|
Med-Max±13¢
|
Maximum
|
Minimum
|
Min-Med/Min-Max±13¢
|
Median
|
Med-Max±13¢
|
Maximum
|
| 1
|
F#/Gb
|
G#/Ab
|
100.905-102.905
|
101.1465-103.1465
|
102.019-104.019
|
103.167
|
102.32-104.32
|
103.846
|
103.425-105.425
|
104.615
|
103.812-105.812
|
105.4945
|
| 2
|
G
|
A
|
201.81-205.81
|
202.293-206.293
|
204.037-208.037
|
206.335
|
204.641-208.641
|
207.692
|
206.849-210.849
|
209.231
|
207.624-211.624
|
210.989
|
| 3
|
G#/Ab
|
A#/Bb
|
302.715-308.715
|
303.44-309.44
|
306.056-312.056
|
309.502
|
306.961-312.961
|
311.5385
|
310.274-316.274
|
313.846
|
311.4365-317.4365
|
316.4835
|
| 4
|
A
|
B
|
403.62-411.62
|
404.586-412.586
|
408.075-416.075
|
412.67
|
409.281-417.281
|
415.385
|
413.699-421.699
|
418.4615
|
415.249-423.249
|
421.978
|
| 5
|
B
|
C
|
504.525-514.525
|
505.733-515.733
|
510.093-520.093
|
515.837
|
511.602-521.602
|
519.231
|
517.123-527.123
|
523.077
|
519.061-529.061
|
527.4725
|
| 6
|
B#/Hb
|
C#/Qb
|
605.43-617.43
|
606.879-618.879
|
612.112-624.112
|
619.0045
|
613.922-625.922
|
623.077
|
620.548-632.548
|
627.692
|
622.873-634.873
|
632.967
|
| 7
|
H
|
Q
|
706.335-720.335
|
708.026-722.026
|
714.131-728.131
|
722.172
|
716.242-730.242
|
736.923
|
723.973-737.973
|
732.308
|
726.685-740.685
|
738.4615
|
| 8
|
C
|
D
|
807.24-823.24
|
809.172-825.172
|
816.1495-832.1495
|
825.339
|
818.563-834.563
|
830.769
|
827.3975-843.3975
|
836.923
|
830.497-846.497
|
843.856
|
| 9
|
C#/Db
|
D#/Eb
|
908.145-926.145
|
910.319-928.319
|
918.168-936.168
|
929.507
|
920.883-938.883
|
934.615
|
930.822-948.822
|
941.5385
|
934.309-952.309
|
949.4505
|
| 10
|
D
|
E
|
1009.0505-1029.0505
|
1011.465-1031.465
|
1020.186-1040.186
|
1031.674
|
1023.2035-1043.2035
|
1038.4165
|
1034.247-1054.2547
|
1046.154
|
1038.122-1058.122
|
1054.945
|
| 11
|
D#/Eb
|
E#/Fb
|
1109.9555-1131.9555
|
1112.61-1134.612
|
1122.2055-1143.2055
|
1134.842
|
1125.524-1147.524
|
1142.308
|
1137.672-1159.672
|
1150.769
|
1141.934-1163.934
|
1160.44
|
| 12
|
E
|
F
|
1210.861-1234.861
|
1213.758-1227.758
|
1224.224-1248.224
|
1238.009
|
1225.844-1249.884
|
1246.154
|
1241.096-1265.096
|
1255.385
|
1245.746-1269.746
|
1265.935
|
| 13
|
F
|
G
|
1311.767-1337.767
|
1314.905-1340.905
|
1326.243-1352.243
|
1341.1765
|
1343.1645-1396.1645
|
1350
|
1344.521-1370.521
|
1360
|
1349.558-1375.558
|
1371.429
|
| Degrees
|
Octatonic
|
Aeolian
|
Intense Aeolian
|
| Flattone
|
Meantone
|
Superpyth
|
Ultrapyth
|
| Min-Med
|
Med-Max~Min-Max
|
Min-Med/Min-Max
|
Med-Max
|
Min-Med
|
Min-Max/Med-Max
|
Min-Med/Min-Max
|
Med-Max
|
| 1
|
F#/Gb
|
105.256-107.256
|
105.625-108.015
|
106.156-108.156
|
107.435-109.435
|
107.738-109.738
|
108.459-110.459
|
108.802-110.802
|
| 2
|
G
|
210.511-214.511
|
211.25-216.03
|
212.313-216.313
|
214.8705-218.8705
|
215.4765-219.4765
|
216.918-220.918
|
217.604-221.604
|
| 3
|
G#/Ab
|
315.767-321.767
|
316.875-324.044
|
318.469-324.469
|
321.306-329.306
|
322.215-330.215
|
325.377-331.377
|
326.4065-332.4065
|
| 4
|
A
|
421.022-429.022
|
422.501-432.059
|
424.626-432.626
|
429.741-437.741
|
430.953-438.953
|
433.836-437.836
|
435.209-443.209
|
| 5
|
B
|
526.278-536.278
|
528.126-540.074
|
530.782-540.782
|
547.176-547.176
|
538.6915-548.6915
|
542.295-552.295
|
544.011-554.011
|
| 6
|
B#/Hb
|
631.534-643.534
|
633.751-648.089
|
636.9385-648.9385
|
644.611-656.611
|
646.43-658.43
|
650.754-666.754
|
652.813-664.813
|
| 7
|
H
|
736.789-750.789
|
739.376-756.104
|
743.095-757.095
|
752.047-766.047
|
754.168-768.168
|
759.213-773.213
|
761.615-775.615
|
| 8
|
C
|
842.045-858.045
|
845.001-864.1185
|
849.251-865.521
|
859.482-875.482
|
861.906-877.906
|
867.672-883.672
|
870.417-886.417
|
| 9
|
C#/Db
|
947.3-965.3
|
950.626-972.133
|
958.408-976.408
|
966.917-984.917
|
969.645-986.645
|
976.131-994.131
|
979.219-997.219
|
| 10
|
D
|
1052.556-1072.556
|
1056.2515-1080.148
|
1061.564-1081.564
|
1074.352-1094.352
|
1077.383-1077.383
|
1084.59-1104.59
|
1088.022-1108.022
|
| 11
|
D#/Eb
|
1157.8115-1179.8115
|
1161.877-1188.163
|
1167.7205-1189.7205
|
1181.7875-1203.7875
|
1185.121-1207.121
|
1193.049-1215.049
|
1196.824-1218.824
|
| 12
|
E
|
1264.067-1287.067
|
1267.502-1296.178
|
1273.877-1298.877
|
1288.223-1312.223
|
1292.86-1316.86
|
1301.508-1325.508
|
1304.626-1328-626
|
| 13
|
F
|
1368.323-1394.323
|
1373.127-1404.193
|
1380.033-1406.033
|
1396.658-1422.658
|
1400.598-1426.598
|
1409.967-1435.967
|
1414.428-1440.428
|
