This scale, a Long Common Practice minor mode, has the Grandfather 3L 5s MOS with a 4:1 ratio of large against small. It also gives the wide values for the period of the Greater Chlorine temperament.
Intervals
| Nonet
|
Period
|
Notes
|
| 1/1
|
70.588
|
Soft Phrygian mode begins
|
| 23\22
|
73.797
|
|
| 22\21
|
73.950
|
Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|
| 21\20
|
74.118
|
|
| 20\19
|
74.303
|
|
| 19\18
|
74.510
|
|
| 37\35
|
74.622
|
|
| 18\17
|
74.740
|
|
| 17\16
|
75.000
|
|
| 16\15
|
75.294
|
Thirdtone Phrygian mode ends
|
| 15\14
|
75.630
|
Semitone Phrygian mode begins
|
| 14\13
|
76.018
|
|
| 27\25
|
76.235
|
|
| 13\12
|
76.471
|
|
| 12\11
|
77.005
|
|
| 11\10
|
77.647
|
Semitone Phrygian mode ends, Intense Phrygian mode begins
|
| 21\19
|
78.019
|
|
| 10\9
|
78.431
|
Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|
| 19\17
|
78.893
|
|
| 9\8
|
79.412
|
Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|
| 17\15
|
80.000
|
|
| 8\7
|
80.672
|
Soft Aeolian mode ends, Flattone Aeolian mode begins
|
| 15\13
|
81.448
|
|
| 22\19
|
81.734
|
Flattone Aeolian mode ends, Meantone Aeolian mode begins
|
| 29\25
|
81.882
|
|
| 7\6
|
82.353
|
Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|
| 20\17
|
83.045
|
|
| 13\11
|
83.422
|
Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|
| 19\16
|
83.824
|
|
| 6\5
|
84.706
|
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
|
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
|