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.
Tuning spectrum
| Degrees
|
Octatonic
|
Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
|
| Absolute Minimum
|
5ed(21/16)
|
8ed(14/9)
|
Minimum
|
3ed(13/11)
|
4ed(5/4)
|
10ed(7/4)
|
Golden
|
<… -3 0 8|/48
|
7ed(40/27)
|
<-18 -4 13|\72
|
Median
|
8ed(11/7)
|
9ed(5/3)
|
14ed(20/9)
|
Mean
|
5ed(4/3)
|
7edf
|
ed(15/7)
|
Maximum
|
| 1
|
F#/Gb
|
92.308
|
94.156
|
95.6145
|
96
|
96.403
|
96.578
|
96.883
|
97.098
|
97.107
|
97.207
|
97.42
|
97.582
|
97.8115
|
98.262
|
98.743
|
98.769
|
99.609
|
100.279
|
101.496
|
101.5385
|
| 2
|
G
|
184.615
|
188.312
|
191.229
|
192
|
192.8065
|
193.157
|
193.765
|
194.196
|
194.213
|
194.414
|
194.8405
|
195.164
|
195.623
|
196.524
|
197.486
|
197.5385
|
199.218
|
200.559
|
202.991
|
203.077
|
| 3
|
G#/Ab
|
276.923
|
282.469
|
286.843
|
288
|
289.21
|
289.735
|
290.648
|
291.293
|
291.322
|
291.621
|
292.261
|
292.747
|
293.4345
|
294.786
|
286.229
|
296.308
|
298.827
|
300.837
|
304.487
|
304.615
|
| 4
|
A
|
369.231
|
376.625
|
382.458
|
384
|
385.613
|
386.314
|
387.53
|
388.391
|
388.429
|
338.828
|
389.681
|
390.329
|
391.246
|
393.048
|
394.9725
|
395.076
|
398.436
|
401.117
|
405.982
|
406.154
|
| 5
|
B
|
461.5385
|
470.781
|
478.072
|
480
|
482.016
|
482.892
|
484.413
|
485.489
|
485.537
|
486.035
|
487.101
|
487.912
|
489.0575
|
491.31
|
493.716
|
493.846
|
498.045
|
501.396
|
507.478
|
507.692
|
| 6
|
B#/Hb
|
553.846
|
564.937
|
573.687
|
576
|
875.419
|
579.471
|
581.2955
|
582.587
|
582.644
|
583.242
|
584.5215
|
585.4945
|
586.869
|
589.5725
|
592.459
|
592.615
|
597.654
|
601.676
|
608.974
|
609.231
|
| 7
|
H
|
646.154
|
659.093
|
669.301
|
672
|
674.823
|
676.049
|
678.178
|
679.685
|
679.752
|
680.448
|
681.942
|
683.077
|
684.6805
|
687.835
|
691.202
|
691.385
|
697.263
|
701.955
|
710.469
|
710.769
|
| 8
|
C
|
738.4615
|
753.2495
|
764.916
|
768
|
771.226
|
772.627
|
775.06
|
776.782
|
776.859
|
777.656
|
779.362
|
780.659
|
782.492
|
786.097
|
789.945
|
790.154
|
796.872
|
802.234
|
811.965
|
812.308
|
| 9
|
C#/Db
|
830.769
|
847.406
|
860.53
|
864
|
867.629
|
869.206
|
871.943
|
873.880
|
873.966
|
874.862
|
876.782
|
878.242
|
880.3035
|
884.359
|
888.688
|
888.923
|
896.481
|
902.514
|
913.46
|
913.846
|
| 10
|
D
|
923.077
|
941.562
|
956.145
|
960
|
964.032
|
965.784
|
968.826
|
970.978
|
971.073
|
972.07
|
974.2025
|
975.824
|
978.115
|
982.621
|
987.431
|
987.692
|
996.09
|
1002.793
|
1014.956
|
1015.385
|
| 11
|
D#/Eb
|
1015.385
|
1035.718
|
1051.759
|
1056
|
1060.436
|
1062.363
|
1065.7085
|
1068.076
|
1068.181
|
1069.277
|
1071.623
|
1073.407
|
1075.9265
|
1080.882
|
1086.174
|
1086.4615
|
1095.699
|
1103.072
|
1116.451
|
1116.923
|
| 12
|
E
|
1107.692
|
1129.874
|
1147.374
|
1152
|
1156.839
|
1158.941
|
1162.591
|
1165.1735
|
1165.2885
|
1166.4835
|
1169.043
|
1170.989
|
1173.738
|
1179.145
|
1184.9175
|
1185.231
|
1195.308
|
1203.3514
|
1217.947
|
1218.4615
|
| 13
|
F
|
1200
|
1224.03
|
1242.988
|
1248
|
1253.242
|
1255.52
|
1259.474
|
1262.271
|
1262.396
|
1263.6905
|
1266.463
|
1268.571
|
1271.55
|
1277.407
|
1283.661
|
1284
|
1294.916
|
1303.631
|
1319.443
|
1320
|
| Degrees
|
Octatonic
|
Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
|
| Minimum
|
8ed(8/5)
|
10ed(9/5)
|
2ed(9/8)
|
9ed(17/10)
|
ed(28/13)
|
14ed(16/7)
|
Golden
|
ed(13/6)
|
<17 8 -11|/48
|
Mean
|
9ed(12/7)
|
ed(24/11)
|
5ed(27/20)
|
7ed(32/21)
|
4ed(14/11)
|
Median
|
ed(11/5)
|
3ed(6/5)
|
Maximum
|
| 1
|
F#/Gb
|
101.5385
|
101.711
|
101.76
|
101.955
|
102.071
|
102.177
|
102.227
|
102.733
|
102.967
|
103.462
|
103.5165
|
103.681
|
103.895
|
103.91
|
104.174
|
104.377
|
104.615
|
105
|
105.213
|
105.4945
|
| 2
|
G
|
203.077
|
203.422
|
203.519
|
203.91
|
204.143
|
204.354
|
204.453
|
205.466
|
205.934
|
206.9245
|
207.033
|
207.362
|
207.79
|
207.8205
|
208.348
|
208.754
|
209.231
|
210.001
|
210.4275
|
210.989
|
| 3
|
G#/Ab
|
304.615
|
305.132
|
305.279
|
305.865
|
306.214
|
306.53
|
306.68
|
308.199
|
308.901
|
310.387
|
310.5465
|
311.043
|
311.6855
|
311.731
|
312.5225
|
313.131
|
313.846
|
315.001
|
315.641
|
316.4835
|
| 4
|
A
|
406.154
|
406.843
|
407.0385
|
407.82
|
408.285
|
408.707
|
408.907
|
410.932
|
411.8685
|
413.849
|
414.066
|
414.724
|
415.581
|
415.641
|
416.697
|
417.508
|
418.4615
|
420.001
|
420.855
|
421.978
|
| 5
|
B
|
507.692
|
508.554
|
508.798
|
509.775
|
510.3565
|
510.884
|
511.134
|
513.6655
|
514.836
|
517.311
|
517.582
|
518.405
|
519.476
|
519.551
|
520.871
|
521.885
|
523.077
|
525.002
|
526.069
|
527.4725
|
| 6
|
B#/Hb
|
609.231
|
610.265
|
610.558
|
611.73
|
612.428
|
613.061
|
613.36
|
616.399
|
617.803
|
620.774
|
621.099
|
622.086
|
623.371
|
623.4615
|
625.045
|
626.262
|
627.692
|
630.002
|
631.283
|
632.967
|
| 7
|
H
|
710.769
|
711.976
|
712.317
|
713.685
|
714.499
|
715.2375
|
715.587
|
719.132
|
720.769
|
724.236
|
724.615
|
725.767
|
727.266
|
727.372
|
729.219
|
730.639
|
732.318
|
735.002
|
736.496
|
738.4615
|
| 8
|
C
|
812.308
|
813.686
|
814.077
|
815.64
|
816.57
|
817.414
|
817.814
|
821.865
|
823.737
|
827.698
|
828.132
|
829.448
|
831.161
|
831.282
|
833.393
|
835.016
|
836.923
|
840.003
|
841.71
|
843.856
|
| 9
|
C#/Db
|
913.846
|
915.397
|
915.837
|
917.595
|
918.462
|
919.591
|
920.041
|
924.598
|
926.704
|
931.1605
|
931.648
|
933.129
|
935.056
|
935.192
|
937.567
|
939.393
|
941.5385
|
945.003
|
946.924
|
949.4505
|
| 10
|
D
|
1015.385
|
1017.108
|
1017.596
|
1019.55
|
1020.712
|
1021.768
|
1022.267
|
1027.331
|
1029.671
|
1034.623
|
1035.165
|
1036.81
|
1038.952
|
1039.103
|
1041.742
|
1043.77
|
1046.154
|
1050.003
|
1052.138
|
1054.945
|
| 11
|
D#/Eb
|
1116.923
|
1118.819
|
1119.356
|
1121.505
|
1122.784
|
1123.945
|
1124.494
|
1130.064
|
1132.638
|
1138.085
|
1138.681
|
1140.491
|
1142.847
|
1143.013
|
1145.916
|
1148.147
|
1150.769
|
1155.004
|
1157.351
|
1160.44
|
| 12
|
E
|
1218.4615
|
1220.529
|
1221.1155
|
1223.46
|
1224.856
|
1226.1215
|
1226.721
|
1232.797
|
1235.6055
|
1241.547
|
1242.198
|
1244.172
|
1246.742
|
1246.923
|
1250.09
|
1252.524
|
1255.385
|
1260.004
|
1262.565
|
1265.9348
|
| 13
|
F
|
1320
|
1322.24
|
1322.875
|
1325.415
|
1326.927
|
1328.298
|
1238.947
|
1335.53
|
1338.573
|
1345.0095
|
1345.714
|
1347.853
|
1350.637
|
1350.833
|
1354.264
|
1356.901
|
1360
|
1365.004
|
1367.779
|
1371.429
|
| Degrees
|
Octatonic
|
Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
|
| Minimum
|
ed(20/9)
|
Golden
|
26ed5
|
Median
|
9ed(5/3)
|
ed(9/4)
|
52ed(180/7)
|
Mean
|
4ed(9/7)
|
26ed(36/7)
|
ed(16/7)
|
Maximum
|
| 1
|
F#/Gb
|
105.4945
|
106.339
|
107.11
|
107.166
|
107.692
|
98.262
|
107.993
|
108.104
|
108.132
|
108.771
|
109.042
|
110.09
|
110.769
|
| 2
|
G
|
210.989
|
212.6775
|
214.22
|
214.332
|
214.385
|
196.524
|
215.986
|
216.208
|
216.264
|
217.542
|
218.083
|
220.181
|
221.5385
|
| 3
|
G#/Ab
|
304.615
|
319.016
|
321.33
|
321.498
|
322.077
|
294.786
|
323.979
|
324.311
|
324.396
|
326.313
|
327.125
|
330.271
|
332.308
|
| 4
|
A
|
421.978
|
425.355
|
428.44
|
428.664
|
429.769
|
393.048
|
431.972
|
432.415
|
432.5275
|
435.084
|
436.167
|
440.361
|
443.076
|
| 5
|
B
|
527.4725
|
531.694
|
535.55
|
535.83
|
583.4615
|
491.31
|
539.965
|
540.519
|
540.659
|
543.855
|
545.2085
|
550.452
|
553.846
|
| 6
|
B#/Hb
|
609.231
|
638.0325
|
642.6595
|
642.9945
|
646.154
|
589.5725
|
647.9585
|
948.943
|
648.791
|
652.626
|
654.25
|
660.542
|
664.615
|
| 7
|
H
|
710.769
|
744.371
|
749.769
|
750.161
|
753.846
|
687.835
|
755.9515
|
756.727
|
756.923
|
761.397
|
863.292
|
770.632
|
775.385
|
| 8
|
C
|
812.308
|
850.71
|
856.879
|
857.327
|
861.5385
|
786.097
|
863.945
|
864.83
|
865.055
|
870.168
|
872.334
|
880.7225
|
886.154
|
| 9
|
C#/Db
|
913.846
|
957.049
|
963.989
|
964.493
|
969.231
|
884.359
|
971.938
|
972.934
|
973.187
|
978.939
|
981.375
|
990.813
|
996.923
|
| 10
|
D
|
1015.385
|
1063.3875
|
1071.099
|
1071.659
|
1076.923
|
982.621
|
1079.931
|
1081.038
|
1081.319
|
1087.71
|
1090.416
|
1100.903
|
1107.692
|
| 11
|
D#/Eb
|
1116.923
|
1169.726
|
1178.209
|
1178.825
|
1184.615
|
1080.882
|
1187.924
|
1189.142
|
1189.4505
|
1196.481
|
1199.459
|
1210.9935
|
1218.4615
|
| 12
|
E
|
1218.4615
|
1276.065
|
1285.319
|
1285.991
|
1292.308
|
1179.145
|
1295.917
|
1297.246
|
1297.582
|
1305.252
|
1308.5
|
1321.084
|
1329.231
|
| 13
|
F
|
1371.429
|
1382.403
|
1392.429
|
1393.157
|
1400
|
1277.407
|
1403.91
|
1405.3495
|
1405.714
|
1414.023
|
1417.524
|
1431.174
|
1440
|