This scale, a Long Common Practice minor mode, has the Grandfather 3L 5s MOS with a 4:1 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
|
A
|
Ab
|
68.8235-70.588
|
73.797
|
72.185-75.714
|
74.51-74.622
|
73.529-77.395
|
76.235-76.471
|
77.647-79.412
|
| 2
|
B\\
|
G#v/Ab^
|
137.647-141.1765
|
147.594
|
144.37-151.429
|
149.02-149.244
|
147.059-154.79
|
152.471-152.941
|
155.294-158.8235
|
| 3
|
Apv/B\\^
|
G#
|
206.471-211.765
|
221.39
|
216.555-227.143
|
223.529-213.8655
|
220.588-232.185
|
228.706-229.1765
|
232.941-238.235
|
| 4
|
Ap
|
A
|
275.294-282.353
|
295.187
|
288.7395-302.857
|
298.039-298.487
|
294.118-209.58
|
304.941-305.647
|
310.588-317.647
|
| 5
|
B
|
344.118-352.941
|
368.984
|
360.924-378.571
|
372.549-373.109
|
367.647-386.975
|
381.1765-382.118
|
387.235-397.058
|
| 6
|
C
|
412.941-423.529
|
442.781
|
433.109-454.286
|
447.059-447.731
|
431.1765-464.37
|
457.412-458.588
|
464.882-476.471
|
| 7
|
Q
|
Qb
|
481.765-494.118
|
516.5775
|
505.294-530
|
521.569-522.353
|
504.706-541.765
|
533.647-535.294
|
542.529-555.882
|
| 8
|
D\\
|
C#v/Qb^
|
550.588-564.706
|
590.374
|
577.479-605.714
|
596.078-596.975
|
578.235-619.16
|
609.882-611.235
|
620.1765-635.294
|
| 9
|
Qpv/D\\^
|
C#
|
619.412-635.294
|
664.171
|
946.664-681.429
|
670.588-671.597
|
651.765-696.555
|
686.118-688.765
|
697.8235-714.706
|
| 10
|
Qp
|
Q
|
688.235-705.882
|
737.97
|
721.849-757.143
|
745.098-746.2185
|
745.294-773.95
|
762.353-764.706
|
777.471-794.118
|
| 11
|
D
|
757.059-776.471
|
811.765
|
794.034-832.857
|
819.608-820.84
|
808.8235-851.3445
|
838.588-841.412
|
855.118-873.529
|
| 12
|
E
|
825.882-847.059
|
885.5616
|
866.2185-908.571
|
894.118-895.462
|
882.353-928.7395
|
914.8235-917.882
|
932.765-952.941
|
| 13
|
F
|
Fb
|
894.706-917.647
|
959.358
|
938.403-978.286
|
968.6275-970.084
|
955.882-1006.1345
|
991.059-994.353
|
1010.412-1032.353
|
| 14
|
F\\
|
E#v/Fb^
|
963.529-988.235
|
1033.155
|
1010.588-1060
|
1043.137-1044.706
|
1029.412-1083.529
|
1067.294-1080.8235
|
1088.059-1111.765
|
| 15
|
Fpv/G\\^
|
E#
|
1031.353-1058.8235
|
1106.952
|
1082.773-1135.714
|
1117.647-1119.328
|
1102.941-1160.924
|
1143.529-1147.059
|
1164.706-1191.1765
|
| 16
|
Fp
|
F
|
1101.1765-1129.412
|
1180.749
|
1154.958-1211.429
|
1192.156-1193.95
|
1176.471-1238.319
|
1219.765-1223.529
|
1242.353-1270.588
|
| 17
|
G
|
1170-1200
|
1254.5455
|
1227.143-1287.143
|
1266.667-1268.571
|
1250-1315.714
|
1296-1300
|
1320-1350
|
| 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
|
G
|
Gb
|
A
|
Ab
|
75.8235-77.647
|
78.019
|
76.667-80.196
|
78.893
|
77.647-81.1765
|
79.412
|
80
|
80.672-82.437
|
| 2
|
A\\
|
F#v/Gb^
|
B\\
|
G#v/Ab^
|
151.647-155.294
|
156.037
|
153.333-160.392
|
157.7855
|
155.294-162.353
|
158.8235
|
160
|
161.3445-164.874
|
| 3
|
Gpv/A\\^
|
F#
|
Apv/B\\^
|
G#
|
227.471-232.941
|
234.056
|
230-240.588
|
236.678
|
232.941-243.529
|
238.235
|
240
|
242.017-247.311
|
| 4
|
Gp
|
G
|
Ap
|
A
|
303.294-310.588
|
312.074
|
306.667-320.784
|
315.571
|
310.588-324.706
|
317.647
|
320
|
322.689-329.748
|
| 5
|
A
|
B
|
379.118-387.235
|
390.093
|
383.333-400.98
|
394.464
|
387.235-405.882
|
397.058
|
400
|
403.361-412.185
|
| 6
|
B
|
C
|
454.941-464.822
|
468.1115
|
460-481.1765
|
473.356
|
464.882-487.059
|
476.471
|
480
|
484.034-494.622
|
| 7
|
H
|
Hb
|
Q
|
Qb
|
530.765-542.529
|
546.13
|
536.667-561.3725
|
552.249
|
542.529-568.235
|
555.882
|
560
|
564.706-577.059
|
| 8
|
C\\
|
B#v/Hb^
|
D\\
|
C#v/Qb^
|
606.588-620.1765
|
624.149
|
613.333-641.569
|
651.142
|
620.1765-649.412
|
635.294
|
640
|
645.378-659.496
|
| 9
|
Hpv/C\\^
|
B#
|
Qpv/D\\^
|
C#
|
683.412-697.8235
|
702.167
|
690-721.765
|
710.035
|
697.8235-730.588
|
714.706
|
720
|
726.05-741.932
|
| 10
|
Hp
|
H
|
Qp
|
Q
|
759.235-777.471
|
780.186
|
766.667-801.961
|
788.927
|
777.471-811.765
|
794.118
|
800
|
806.723-824.37
|
| 11
|
C
|
D
|
835.059-855.118
|
858.204
|
843.333-882.157
|
867.82
|
855.118-892.941
|
873.529
|
880
|
887.395-906.807
|
| 12
|
D
|
E
|
910.882-932.765
|
936.223
|
920-962.353
|
946.713
|
932.765-974.118
|
952.941
|
960
|
968.067-989.244
|
| 13
|
E
|
Eb
|
F
|
Fb
|
986.706-1010.412
|
1014.2415
|
996.667-1042.549
|
1025.6055
|
1010.412-1055.294
|
1032.353
|
1040
|
1048.7395-1071.681
|
| 14
|
F\\
|
D#v/Eb^
|
F\\
|
E#v/Fb^
|
1062.529-1088.059
|
1092.26
|
1073.333-1122.745
|
1104.598
|
1088.059-1136.429
|
1111.765
|
1120
|
1129.412-1154.118
|
| 15
|
Epv/F\\^
|
D#
|
Fpv/G\\^
|
E#
|
1138.353-1164.706
|
1170.028
|
1150-1202.941
|
1183.391
|
1164.706-1217.647
|
1191.1765
|
1200
|
1210.084-1236.555
|
| 16
|
Ep
|
E
|
Fp
|
F
|
1214.1765-1242.353
|
1248.297
|
1226.667-1283.137
|
1262.284
|
1242.353-1288.8235
|
1270.588
|
1280
|
1290.756-1318.992
|
| 17
|
F
|
G
|
1290-1320
|
1326.316
|
1303.333-1363.333
|
1341.1765
|
1320-1380
|
1350
|
1360
|
1371.429-1401.429
|
| 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
|
G
|
Gb
|
78.908-80.672
|
81.448
|
79.966-83.495
|
81.882
|
80.588-84.118
|
82.353
|
83.045
|
81.658-85.187
|
83.8235
|
84.706-86.471
|
| 2
|
A\\
|
F#v/Gb^
|
157.815-161.3445
|
162.896
|
159.932-166.991
|
163.765
|
161.1765-168.235
|
164.706
|
166.09
|
163.3155-170.374
|
167.647
|
169.412-172.941
|
| 3
|
Gpv/A\\^
|
F#
|
236.723-242.017
|
244.344
|
239.898-250.486
|
245.647
|
241.765-252.353
|
247.059
|
249.135
|
244.973-255.5615
|
251.471
|
254.118-259.412
|
| 4
|
Gp
|
G
|
315.63-322.689
|
325.792
|
319.864-333.981
|
327.529
|
322.353-336.471
|
329.412
|
332.18
|
326.631-340.749
|
335.294
|
338.8235-345.882
|
| 5
|
A
|
394.538-403.361
|
407.24
|
399.829-417.477
|
409.412
|
402.941-420.588
|
411.765
|
415.225
|
408.289-425.935
|
419.118
|
423.529-432.353
|
| 6
|
B
|
473.445-484.034
|
488.688
|
479.796-500.972
|
491.294
|
483.529-504.706
|
494.118
|
498.27
|
489.9465-511.123
|
502.941
|
508.235-518.8235
|
| 7
|
H
|
Hb
|
552.353-564.706
|
570.136
|
559.762-584.4675
|
573.1765
|
564.118-588.8235
|
576.471
|
581.315
|
571.604-596.311
|
586.768
|
592.941-605.294
|
| 8
|
C\\
|
B#v/Hb^
|
631.2605-645.378
|
651.584
|
639.728-667.963
|
655.059
|
644.706-672.941
|
658.8235
|
664.36
|
653.262-671.497
|
670.588
|
677.647-691.765
|
| 9
|
Hpv/C\\^
|
B#
|
710.168-726.05
|
733.032
|
719.6935-751.458
|
736.941
|
725.294-758.059
|
741.1765
|
747.405
|
734.92-656.6845
|
754.412
|
762.653-778.235
|
| 10
|
Hp
|
H
|
789.076-806.723
|
814.48
|
799.659-834.954
|
818.8235
|
805.882-841.1765
|
823.529
|
830.45
|
816.5775-851.872
|
838.235
|
847.059-864.706
|
| 11
|
C
|
867.983-887.395
|
895.928
|
879.625-918.449
|
900.706
|
886.471-925.294
|
905.882
|
913.495
|
898.235-937.059
|
922.059
|
931.765-951.1765
|
| 12
|
D
|
946.891-968.067
|
977.376
|
959.591-1001.944
|
982.588
|
967.059-1009.412
|
988.235
|
996.54
|
979.893-1022.246
|
1005.882
|
1016.471-1037.647
|
| 13
|
E
|
Eb
|
1025.798-1048.7395
|
1058.8235
|
1039.557-1085.44
|
1064.471
|
1047.647-1093.529
|
1070.588
|
1079.585
|
1061.551-1107.433
|
1089.706
|
1101.1765-1124.118
|
| 14
|
F\\
|
D#v/Eb^
|
1104.706-1129.412
|
1140.2715
|
1119.523-1168.935
|
1146.353
|
1128.235-1177.647
|
1152.941
|
1162.63
|
1143.209-1192.62
|
1173.529
|
1185.882-1210.588
|
| 15
|
Epv/F\\^
|
D#
|
1183.613-1210.084
|
1221.7195
|
1199.489-1252.43
|
1228.235
|
1208.8235-1261.765
|
1233.294
|
1245.675
|
1224.866-1277.8075
|
1257.353
|
1270.588-1297.059
|
| 16
|
Ep
|
E
|
1262.521-1290.756
|
1303.167
|
1279.455-1335.925
|
1310.118
|
1289.412-1345.882
|
1317.647
|
1328.72
|
1306.652-1362.995
|
1341.1765
|
1355.294-1383.529
|
| 17
|
F
|
1341.429-1371.429
|
1384.615
|
1359.474-1419.474
|
1392
|
1370-1430
|
1400
|
1411.765
|
1388.182-1448.182
|
1425
|
1440-1470
|
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
|
A
|
Ab
|
72.944-74.474
|
73.089-74.618
|
73.379-75.205
|
74.012-75.586
|
75.216-77.013
|
75.75-77.635
|
| 2
|
B\\
|
G#v/Ab^
|
145.889-148.948
|
146.178-149.236
|
146.758-150.409
|
148.023-151.173
|
150.432-154.025
|
151.501-155.2705
|
| 3
|
Apv/B\\^
|
G#
|
218.833-223.4215
|
219.266-223.855
|
220.137-225.614
|
222.035-226.759
|
225.648-230.037
|
227.251-232.906
|
| 4
|
Ap
|
A
|
291.778-297.895
|
292.355-298.473
|
293.5155-300.819
|
296.047-302.346
|
300.864-308.050
|
303.002-301.541
|
| 5
|
B
|
364.722-372.369
|
365.444-373.091
|
366.894-376.0235
|
370.059-377.932
|
376.08-385.063
|
378.752-388.176
|
| 6
|
C
|
437.6665-446.843
|
438.533-447.709
|
440.273-451.228
|
444.070-453.519
|
451.296-462.075
|
454.5025-465.811
|
| 7
|
Q
|
Qb
|
510.611-521.317
|
511.621-522.327
|
513.652-526.433
|
518.082-529.105
|
526.512-539.088
|
530.253-543.447
|
| 8
|
D\\
|
C#v/Qb^
|
583.555-595.791
|
584.71-596.9455
|
587.031-601.638
|
592.094-604.6915
|
601.728-616.101
|
606.003-621.082
|
| 9
|
Qpv/D\\^
|
C#
|
656.5-670.264
|
657.799-671.564
|
660.41-676.842
|
661.1055-680.278
|
676.944-693.1135
|
681.754-698.717
|
| 10
|
Qp
|
Q
|
729.444-744.738
|
730.888-746.182
|
733.789-752.047
|
740.117-755.864
|
752.16-770.126
|
757.504-776.352
|
| 11
|
D
|
802.3885-819.212
|
803.9765-820.8
|
807.468-827.252
|
814.129-831.451
|
827.376-847.139
|
833.255-853.988
|
| 12
|
E
|
875.333-893.686
|
877.065-895.418
|
880.5465-902.456
|
888.141-907.037
|
902.592-924.151
|
909.005-931.622
|
| 13
|
F
|
Fb
|
948.277-968.16
|
950.154-970.0365
|
953.925-977.661
|
962.152-982.624
|
977.808-1001.164
|
984.755-1009.258
|
| 14
|
F\\
|
E#v/Fb^
|
1021.222-1042.6335
|
1023.243-1044.655
|
1027.304-1052.866
|
1036.164-1058.21
|
1053.024-1078.177
|
1060.506-1086.893
|
| 15
|
Fpv/G\\^
|
E#
|
1094.166-1117.107
|
1096.332-1119.273
|
1100.683-1128.0705
|
1110.176-1133.7965
|
1128.24-1155.189
|
1136.256-1164.5285
|
| 16
|
Fp
|
F
|
1167.111-1191.581
|
1169.42-1193.891
|
1174.062-1203.275
|
1184.188-1209.382
|
1203.456-1232.202
|
1212.007-1242.164
|
| 17
|
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
|
Med-Max
|
Min-Med/Min-Max
|
Med-Max
|
| 1
|
G
|
Gb
|
A
|
Ab
|
77.163-78.692
|
77.347-78.877
|
78.014-79.544
|
78.245-79.774
|
79.0895-80.618
|
79.385-80.915
|
| 2
|
A\\
|
F#v/Gb^
|
B\\
|
G#v/Ab^
|
155.325-157.384
|
155.695-157.7535
|
156.029-159.087
|
156.49-159.549
|
158.179-161.238
|
158.772-161.83
|
| 3
|
Gpv/A\\^
|
F#
|
Apv/B\\^
|
G#
|
231.488-236.076
|
232.042-236.63
|
234.043-238.631
|
234.735-239.323
|
237.268-241.857
|
238.157-242.746
|
| 4
|
Gp
|
G
|
Ap
|
A
|
308.651-314.768
|
309.389-315.507
|
312.057-318.175
|
312.98-319.098
|
316.358-322.4755
|
317.543-323.661
|
| 5
|
A
|
B
|
385.814-393.4605
|
386.737-394.384
|
390.071-397.7185
|
391.225-398.872
|
395.447-403.094
|
396.929-404.576
|
| 6
|
B
|
C
|
462.976-472.1525
|
464.084-473.261
|
468.086-477.262
|
469.469-478.646
|
474.537-483.713
|
476.315-485.4913
|
| 7
|
H
|
Hb
|
Q
|
Qb
|
540.139-550.845
|
541.4315-549.423
|
546.1-556.806
|
547.715-558.421
|
553.627-564.332
|
555.7005-566.406
|
| 8
|
C\\
|
B#v/Hb^
|
D\\
|
C#v/Qb^
|
617.3015-629.537
|
618.779-631.014
|
624.114-636.35
|
625.96-638.195
|
632.716-644.951
|
635.086-647.322
|
| 9
|
Hpv/C\\^
|
B#
|
Qpv/D\\^
|
C#
|
694.464-708.229
|
696.126-709.891
|
702.129-715.893
|
704.205-717.969
|
711.805-725.57
|
714.805-728.237
|
| 10
|
Hp
|
H
|
Qp
|
Q
|
771.629-786.921
|
773.4735-788.768
|
780.143-795.437
|
782.45-797.744
|
790.895-806.189
|
793.858-809.152
|
| 11
|
C
|
D
|
848.79-865.613
|
865.821-867.644
|
858.157-874.981
|
860.695-877.518
|
869.984-886.808
|
873.243-890.067
|
| 12
|
D
|
E
|
925.952-944.305
|
928.168-946.521
|
936.171-954.527
|
938.94-957.293
|
949.074-967.427
|
952.692-970.982
|
| 13
|
E
|
Eb
|
F
|
Fb
|
1003.115-1022.997
|
1005.516-1025.398
|
1014.186-1034.0668
|
1017.185-1037.067
|
1028.163-1048.045
|
1032.015-1051.8975
|
| 14
|
F\\
|
D#v/Eb^
|
F\\
|
E#v/Fb^
|
1080.278-1101.689
|
1082.863-1104.275
|
1092.2-1113.612
|
1095.43-1116.841
|
1107.253-1128.664
|
1111.401-1132.813
|
| 15
|
Epv/F\\^
|
D#
|
Fpv/G\\^
|
E#
|
1157.44-1180.381
|
1160.21-1183.151
|
1170.214-1193.1555
|
1173.675-1196.616
|
1186.3425-1209.283
|
1190.788-1213.728
|
| 16
|
Ep
|
E
|
Fp
|
F
|
1234.603-1259.0735
|
1237.558-1262.028
|
1248.229-1272.699
|
1251.9195-1276.39
|
1265.4315-1289.902
|
1270.173-1294.643
|
| 17
|
F
|
G
|
1311.767-1337.767
|
1314.905-1340.905
|
1326.243-1352.243
|
1330.1645-1356.1645
|
1344.521-1370.521
|
1349.558-1375.558
|
| 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
|
G
|
Gb
|
80.49-82.019
|
80.772-82.6
|
81.178-82.707
|
82.156-83.686
|
82.388-83.9175
|
82.939-84.469
|
83.202-84.731
|
| 2
|
A\\
|
F#v/Gb^
|
160.979-164.038
|
161.544-165.199
|
162.356-165.416
|
164.127-167.31715
|
164.776-167.835
|
165.8785-168.937
|
166.403-169.462
|
| 3
|
Gpv/A\\^
|
F#
|
241.469-246.057
|
242.316-247.799
|
243.535-248.1235
|
246.469-251.057
|
247.164-251.753
|
248.818-253.405
|
249.605-254.193
|
| 4
|
Gp
|
G
|
321.958-328.076
|
323.089-330.398
|
324.714-330.831
|
328.625-334.743
|
329.552-335.67
|
331.757-337.875
|
332.807-338.324
|
| 5
|
A
|
402.448-410.095
|
403.861-412.998
|
405.892-413.539
|
410.782-418.429
|
411.9405-419.588
|
414.696-422.343
|
416.008-423.655
|
| 6
|
B
|
482.937-492.114
|
484.633-495.597
|
487.071-496.247
|
492.938-502-115
|
494.329-503.505
|
497.635-506.812
|
499.21-508.386
|
| 7
|
H
|
Hb
|
563.427-574.133
|
565.405-578.197
|
568.249-578.955
|
575.0945-585.8
|
576.717-587.423
|
580.575-591.2805
|
582.416-593.117
|
| 8
|
C\\
|
B#v/Hb^
|
643.917-656.152
|
647.177-660.797
|
649.4275-661.663
|
657.251-669.486
|
659.105-671.34
|
663.514-675.749
|
665.613-677.8485
|
| 9
|
Hpv/C\\^
|
B#
|
724.406-738.171
|
726.9495-743.396
|
730.606-744.371
|
739.407-753.172
|
741.493-755.258
|
746.453-760.218
|
748.815-762.58
|
| 10
|
Hp
|
H
|
804.896-820.19
|
807.722-825.996
|
811.784-827.0785
|
821.5635-836.858
|
823.881-839.175
|
829.392-844.686
|
832.0165-847.311
|
| 11
|
C
|
885.385-902.209
|
888.494-908.595
|
892.963-909.7886
|
903.72-920.543
|
906.269-923.093
|
912.331-929.155
|
915.218-932.041
|
| 12
|
D
|
965.875-984.228
|
969.266-991.195
|
974.141-992.494
|
985.876-1004.229
|
988.657-1007.01
|
995.271-1013.624
|
998.419-1016.773
|
| 13
|
E
|
Eb
|
1046.364-1066.247
|
1050.004-1073.794
|
1055.32-1075.202
|
1068.033-1087.915
|
1071.045-1090.928
|
1078.21-1098.092
|
1081.6215-1101.504-
|
| 14
|
F\\
|
D#v/Eb^
|
1126.854-1148.266
|
1130.81-1156.394
|
1136.498-1157.91
|
1150.189-1171.601
|
1153.4335-1174.845
|
1161.149-1182.561
|
1164.823-1186.235
|
| 15
|
Epv/F\\^
|
D#
|
1207.344-1230.285
|
1211.583-1238.9935
|
1217.6765-1240.617
|
1232.345-1255.2865
|
1235.822-1258.762
|
1244.088-1267.03
|
1248.025-1270.966
|
| 16
|
Ep
|
E
|
1287.833-1312.304
|
1292.3545-1321.593
|
1298.855-1323.3255
|
1314.502-1338.972
|
1318.21-1342.68
|
1327.028-1351.498
|
1331.226-1355.697
|
| 17
|
F
|
1368.322-1394.322
|
1373.127-1404.193
|
1380.033-1406.033
|
1396.658-1422.658
|
1400.598-1426.598
|
1409.967-1435.967
|
1414.428-1440.428
|