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This scale occurs in 12edo, where it is the equal division of the major ninth.
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==
==Intervals==
{| class="wikitable"
{| class="wikitable"
|+
!Nonet
!Period
!Notes
|-
|-
! | Degrees
|1/1
! | Octatonic
|''85.714''
! | Minimum
|Soft Phrygian mode begins
! | Golden
! | Median
! | Mean
! | ed(9/4)
! | Maximum
|-
|-
| | 1
|23\22
| | A#/Bb
|89.610
| | 91.429
|
| | 93.381
| | 94.286
| | 97.143
| | 100.279
| | 102.857
|-
|-
| | 2
|22\21
| | B
|89.796
| | 182.857
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
| | 186.762
| | 188.571
| | 194.286
| | 200.559
| | 205.714
|-
|-
| | 3
|21\20
| | B#/Cb
|90.000
| | 274.286
|
| | 280.142
| | 282.857
| | 291.429
| | 300.838
| | 308.571
|-
|-
| | 4
|20\19
| | C
|90.226
| | 365.714
|
| | 373.523
| | 377.143
| | 388.571
| | 401.117
| | 411.429
|-
|-
| | 5
|19\18
| | D
|90.476
| | 457.143
|
| | 466.904
| | 471.429
| | 485.714
| | 501.396
| | 514.286
|-
|-
| | 6
|37\35
| | D#/Eb
|90.612
| | 548.571
|
| | 560.285
| | 565.714
| | 582.857
| | 601.676
| | 617.143
|-
|-
| | 7
|18\17
| | E
|90.756
| | 640
|
| | 653.666
| | 660
| | 680
| | 701.955
| | 720
|-
|-
| | 8
|17\16
| | E#/Fb
|91.071
| | 731.429
|
| | 747.047
| | 754.286
| | 777.143
| | 802.234
| | 822.857
|-
|-
| | 9
|16\15
| | F
|91.429
| | 822.857
|Thirdtone Phrygian mode ends
| | 840.427
| | 848.571
| | 874.286
| | 902.514
| | 925.714
|-
|-
| | 10
|15\14
| | F#/Gb
|91.837
| | 914.286
|Semitone Phrygian mode begins
| | 933.808
| | 942.857
| | 971.429
| | 1002.793
| | 1028.571
|-
|-
| | 11
|14\13
| | G
|92.308
| | 1005.714
|
| | 1027.188
| | 1037.143
| | 1068.579
| | 1103.072
| | 1131.429
|-
|-
| | 12
|27\25
| | H
|92.571
| | 1097.143
|
| | 1120.57
| | 1131.429
| | 1165.714
| | 1203.351
| | 1234.286
|-
|-
| | 13
|13\12
| | H#/Ab
|''92.857''
| | 1188.571
|
| | 1213.9505
| | 1225.714
| | 1262.857
| | 1303.631
| | 1337.143
|-
|-
| | 14
|12\11
| | A
|93.506
| | 1280
|
| | 1307.331
|-
| | 1320
|11\10
| | 1360
|94.286
| | 1403.91
|Semitone Phrygian mode ends, Intense Phrygian mode begins
| | 1440
|-
|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¢
{| class="wikitable"
|-
! rowspan="3" |Degrees
! rowspan="3" |Octatonic
! colspan="2" |Soft Phrygian
! colspan="4" |Phrygian
|-
! rowspan="2" |Min-Med
! rowspan="2" |Min-Max/Med-Max
! colspan="2" |Thirdtone
! colspan="2" |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
|}
{| class="wikitable"
|-
! rowspan="2" |Degrees
! colspan="2" rowspan="2" |Octatonic
! colspan="2" |Intense Phrygian
! colspan="2" |Intense Phrygian-Soft Aeolian
! colspan="2" |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
|}
{| class="wikitable"
! rowspan="3" |Degrees
! rowspan="3" |Octatonic
! colspan="4" |Aeolian
! colspan="4" |Intense Aeolian
|-
! colspan="2" |Flattone
! colspan="2" |Meantone
! colspan="2" |Superpyth
! colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |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
| colspan="2" |1373.127-1404.193
|1380.033-1406.033
|1396.658-1422.658
|1400.598-1426.598
|1409.967-1435.967
|1414.428-1440.428
|}
|}
[[Category:14-tone]]
[[Category:ed9/4]]
[[Category:edIX]]
[[Category:todo:add_definition]]
[[Category:todo:unify_precision]]
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