This scale, a reformed minor mode,occurs in 12edo, where it is the equal division of the major ninth. It has the Long Common Practice Macroshrutis 6L 2s MOS with a 2:1 ratio of large against small. It also gives the wide values for the period of the Greater Silicon temperament.
Intervals
| Nonet
|
Period
|
Notes
|
| 1/1
|
85.714
|
Soft Phrygian mode begins
|
| 23\22
|
89.610
|
|
| 22\21
|
89.796
|
Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|
| 21\20
|
90.000
|
|
| 20\19
|
90.226
|
|
| 19\18
|
90.476
|
|
| 37\35
|
90.612
|
|
| 18\17
|
90.756
|
|
| 17\16
|
91.071
|
|
| 16\15
|
91.429
|
Thirdtone Phrygian mode ends
|
| 15\14
|
91.837
|
Semitone Phrygian mode begins
|
| 14\13
|
92.308
|
|
| 27\25
|
92.571
|
|
| 13\12
|
92.857
|
|
| 12\11
|
93.506
|
|
| 11\10
|
94.286
|
Semitone Phrygian mode ends, Intense Phrygian mode begins
|
| 21\19
|
94.737
|
|
| 10\9
|
95.238
|
Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|
| 19\17
|
95.798
|
|
| 9\8
|
96.429
|
Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|
| 17\15
|
97.143
|
|
| 8\7
|
97.959
|
Soft Aeolian mode ends, Flattone Aeolian mode begins
|
| 15\13
|
98.901
|
|
| 22\19
|
99.248
|
Flattone Aeolian mode ends, Meantone Aeolian mode begins
|
| 29\25
|
99.429
|
|
| 7\6
|
100.000
|
Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|
| 20\17
|
100.840
|
|
| 13\11
|
101.299
|
Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|
| 19\16
|
101.786
|
|
| 6\5
|
102.857
|
Ultrapyth Intense Aeolian mode ends
|
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
|
88.575-90.4325
|
88.751-90.608
|
89.103-91.32
|
89.871-91.7835
|
91.334-93.515
|
91.983-94.271
|
| 2
|
A
|
177.151-180.865
|
177.501-181.216
|
178.206-182.64
|
179.743-183.567
|
182.667-187.031
|
183.965-188.543
|
| 3
|
A#/Bb
|
265.756-271.2975
|
266.252-271.823
|
267.309-273.96
|
269.614-275.351
|
274.001-280.545
|
275.948-282.814
|
| 4
|
B
|
354.301-361.73
|
355.003-362.431
|
356.412-365.28
|
359.4855-367.134
|
365.335-374.613
|
367.931-377.085
|
| 5
|
B#/Cb
|
442.877-452.1625
|
443.753-453.039
|
445.515-456.6
|
449.357-458.918
|
456.6685-467.577
|
459.913-471.357
|
| 6
|
C
|
531.452-542.595
|
532.504-543.647
|
534.6175-547.92
|
539.228-550.701
|
548.002-561.092
|
551.896-565.628
|
| 7
|
Q
|
620.0275-633.0275
|
621.253-634.253
|
623.7205-639.24
|
629.1-642.485
|
639.335-654.335
|
643.879-659.8995
|
| 8
|
Q#/Db
|
708.603-723.46
|
710.005-724.862
|
712.823-730.56
|
718.971-734
|
730.67-748.123
|
735.861-754.171
|
| 9
|
D
|
797.178-813.8925
|
798.756-815.47
|
801.926-821.88
|
808.842-826.032
|
822.003-841.78
|
827.844848.442
|
| 10
|
D#/Eb
|
885.754-904.325
|
887.507-906.078
|
891.029-913.2
|
898.714-917.835
|
913.337-935.153
|
919.8265-942.7135
|
| 11
|
E
|
974.329-994.7575
|
976.257-996.686
|
980.132-1004.52
|
988.585-1009.619
|
1007.671-1028.6685
|
1011.809-1036.985
|
| 12
|
E#/Fb
|
1062.904-1085.19
|
1065.008-1087.294
|
1069.235-1095.84
|
1078.4565-1101.023
|
1096.004-1121.1894
|
1103.792-1131.256
|
| 13
|
F
|
1151.48-1175.6225
|
1153.759-1177.901
|
1158.338-1187.16
|
1168.328-1193.186
|
1187.338-1215.699
|
1195.7745-1225.528
|
| 14
|
G
|
1240.055-1266.055
|
1242.506-1268.506
|
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
|
F#/Gb
|
G#/Ab
|
93.6975-95.555
|
93.922-95.779
|
94.732-96.589
|
95.012-96.869
|
96.037-97.894
|
96.397-98.254
|
| 2
|
G
|
A
|
187.395-191.109
|
187.844-191.558
|
189.463-193.178
|
190.0235-193.738
|
192.074-195.789
|
192.794-196.508
|
| 3
|
G#/Ab
|
A#/Bb
|
281.093-286.664
|
281.765-287.337
|
284.195-289.766
|
285.035-290.607
|
288.112-293.683
|
289.191-294.7625
|
| 4
|
A
|
B
|
374.79-382.219
|
375.687-383.116
|
378.9265-386.219
|
380.047-387.476
|
384.149-391.577
|
385.588-393.017
|
| 5
|
A#/Bb
|
B#/Cb
|
468.488-477.773
|
469.609-478.895
|
473.658-482.944
|
475.059-484.3445
|
480.186-489.472
|
481.985-491.271
|
| 6
|
B
|
C
|
562.185-573.328
|
563.531-574.674
|
568.39-579.533
|
570.0705-581.213
|
576.223-587.366
|
578.382-589.525
|
| 7
|
H
|
Q
|
655.883-668.883
|
657.4525-670.4525
|
663.121-676.121
|
665.082-678.082
|
672.2605-685.2605
|
674.779-687.779
|
| 8
|
H#/Cb
|
Q#/Db
|
749.58-764.4375
|
751.374-766.231
|
757.853-772.71
|
760.094-774.951
|
768.298-783.155
|
771.176-786.033
|
| 9
|
C
|
D
|
843.278-859.992
|
845.296-862.01
|
852.585-869.299
|
855.105-871.82
|
864.335-881.049
|
867.573-884.2875
|
| 10
|
C#/Db
|
D#/Eb
|
936.975-955.5546
|
939.218-957.789
|
947.316-965.887
|
950.1175-968.689
|
960.372-978.9435
|
963.97-982.542
|
| 11
|
D
|
E
|
1030.672-1051.101
|
1033.101-1053.568
|
1042.048-1062.477
|
1045.129-1065.558
|
1056.409-1076.838
|
1060.367-1080.796
|
| 12
|
D#/Eb
|
E#/Fb
|
1124.3705-1146.656
|
1127.061-1149.347
|
1136.78-1159.065
|
1140.141-1162.427
|
1152.4465-1174.732
|
1156.764-1179.05
|
| 13
|
E
|
F
|
1218.068-1242.211
|
1220.983-1245.126
|
1231.511-1255.654
|
1235.153-1259.295
|
1248.484-1272.626
|
1253.161-1227.304
|
| 14
|
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
|
F#/Gb
|
97.737-99.5945
|
98.0805-100.2995
|
98.574-100.431
|
99.761-101.618
|
100.043-101.9
|
100.712-102.569
|
101.031-102.888
|
| 2
|
G
|
195.475-199.189
|
196.161-200.599
|
197.148-200.862
|
199.523-203.237
|
200.085-203.8
|
201.424-205.138
|
202.061.205.7755
|
| 3
|
G#/Ab
|
293.212-298.783
|
294.2415-300.8985
|
295.721-301.293
|
299.284-304.885
|
300.128-305.6995
|
302.135-307.707
|
303.092-308.663
|
| 4
|
A
|
390.949-398.378
|
392.322-401.198
|
394.295-401.724
|
399.045-406.474
|
400.171-407.599
|
402.848-410.276
|
404.122-411.551
|
| 5
|
A#/Bb
|
488.687-497.972
|
490.4025-501.497
|
492.869-502.155
|
498.806-508.092
|
500.2135-509.499
|
503.56-512.845
|
505.153-514.439
|
| 6
|
B
|
586.424-597.567
|
588.483-601.797
|
591.443-602.586
|
598.568-609.711
|
600.256-611.399
|
604.2715-615.414
|
606.1835-617.326
|
| 7
|
H
|
684.161-697.161
|
686.5635-702.096
|
690.017-703.017
|
698.329-711.329
|
700.299-713.299
|
704.983-717.983
|
707.214-720.214
|
| 8
|
H#/Cb
|
781.899-796.756
|
784.644-802.3955
|
788.5905-803.448
|
798.09-812.947
|
800.342-815.199
|
805.695-820.5525
|
808.245-823.102
|
| 9
|
C
|
879.636-896.35
|
882.724-902.695
|
887.164-903.879
|
897.8582-914.566.
|
900.384-917.099
|
906.407-923.1215
|
909.275-925.9895
|
| 10
|
C#/Db
|
977.373-995.945
|
980.805-1002.995
|
985.738-1004.3095
|
997.613-1016.184
|
1000.427-1018.9985
|
1007.119-1025.691
|
1010.306-1028.877
|
| 11
|
D
|
1075.111-1095.539
|
1078.885-1003.294
|
1084.312-1104.7405
|
1097.374-1117.803
|
1100.47-1120.898
|
1107.831-1128.26
|
1111.134-1131.765
|
| 12
|
D#/Eb
|
1172.848-1195.134
|
1176.966-1203.594
|
1182.886-1205.171
|
1197.135-1219.421
|
1200.512-1222.798
|
1208.543-1230.829
|
1212.367-1234.653
|
| 13
|
E
|
1270.585-1294.728
|
1275.046-1303.893
|
1281.4956-1305.603
|
1296.867-1321.04
|
1300.555-1324.698
|
1309.255-1333.398
|
1313.3975-1337.54
|
| 14
|
F
|
1368.323-1394.324
|
1373.127-1404.193
|
1380.033-1406.033
|
1396.658-1422.658
|
1400.598-1426.598
|
1409.967-1435.967
|
1414.428-1440.428
|