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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.
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
|-
|-
! rowspan="3" |Degrees
|1/1
! rowspan="3" |Octatonic
|''85.714''
! colspan="3" |Soft Phrygian
|Soft Phrygian mode begins
! colspan="6" |Phrygian
|-
|-
! rowspan="2" |Minimum-comma
|23\22
! rowspan="2" |Median
|89.610
! rowspan="2" |Maximum+comma
|
! colspan="3" |Thirdtone
! colspan="3" |Semitone
|-
|-
!Minimum-comma
|22\21
!Median
|89.796
! colspan="2" |Maximum+comma~Minimum-comma
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
!Median
!Maximum+comma
|-
|-
|1
|21\20
|G#/Ab
|90.000
|82.857-''85.714''
|
|89.61
| colspan="2" |86.939-92.653
|90.476-90.612
| colspan="2" |88.571-94.694
|92.571-''92.857''
|94.286-97.143
|-
|-
|2
|20\19
|A
|90.226
|165.714-''171.429''
|
|179.221
| colspan="2" |173.878-185.306
|180.952-181.2245
| colspan="2" |177.143-189.388
|185.143-''185.714''
|188.571-194.286
|-
|-
|3
|19\18
|A#/Bb
|90.476
|248.571-''257.143''
|
|268.831
| colspan="2" |260.816-277.959
|271.429-271.837
| colspan="2" |265.714-284.082
|277.714-''278.571''
|282.857-291.429
|-
|-
|4
|37\35
|B
|90.612
|331.429-''342.857''
|
|358.442
| colspan="2" |357.755-370.612
|361.905-362.449
| colspan="2" |354.286-378.7755
|370.286-''371.429''
|377.143-388.571
|-
|5
|B#/Cb
|414.286-''428.571''
|448.052
| colspan="2" |434.694-463.265
|452.381-453.061
| colspan="2" |442.857-473.436
|462.857-''464.286''
|471.429-485.714
|-
|-
|6
|18\17
|C
|90.756
|497.143-''514.286''
|
|537.662
| colspan="2" |521.633-555.918
|542.857-543.6735
| colspan="2" |531.429-568.163
|555.429-''557.143''
|565.714-582.857
|-
|-
|7
|17\16
|Q
|91.071
|580-''600''
|
|627.273
| colspan="2" |608.571-648.571
|633.333-634.286
| colspan="2" |620-662.857
|648-''650''
|660-680
|-
|-
|8
|16\15
|Q#/Db
|91.429
|662.857-''685.714''
|Thirdtone Phrygian mode ends
|716.883
| colspan="2" |695.51-741.2245
|723.8095-724.898
| colspan="2" |708.571-757.551
|740.571-''742.857''
|754.286-777.143
|-
|-
|9
|15\14
|D
|91.837
|745.714-''771.429''
|Semitone Phrygian mode begins
|806.4935
| colspan="2" |782.449-833.878
|814.286-815.510
| colspan="2" |797.143-852.245
|833.143-''835.714''
|848.571-874.286
|-
|-
|10
|14\13
|D#/Eb
|92.308
|828.571-''857.143''
|
|896.103
| colspan="2" |869.388-926.531
|904.762-906.1225
| colspan="2" |885.714-946.938
|925.714-''928.571''
|942.857-971.429
|-
|-
|11
|27\25
|E
|92.571
|911.429-''942.857''
|
|985.714
| colspan="2" |956.327-1019.184
|995.238-996.735
| colspan="2" |974.286-1041.633
|1018.286-''1021.429''
|1037.143-1068.571
|-
|-
|12
|13\12
|E#/Fb
|''92.857''
|994.286-''1028.571''
|
|1075.325
| colspan="2" |1043.266-1111.837
|1085.714-1087.347
| colspan="2" |1062.857-1136.3265
|1110.857-''1114.286''
|1131.429-1165.714
|-
|-
|13
|12\11
|F
|93.506
|1077.143-''1114.286''
|
|1164.935
| colspan="2" |1130.204-1204.49
|1176.1905-1177.959
| colspan="2" |1151.429-1231.02
|1203.429-''1207.143''
|1225.714-1262.857
|-
|-
|14
|11\10
|G
|94.286
|1160-''1200''
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|1254.5455
| colspan="2" |1217.143-1297.143
|1266.667-1268.571
| colspan="2" |1240-1325.714
|1296-''1300''
|1320-1360
|}
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|21\19
! colspan="2" rowspan="2" |Octatonic
|94.737
! colspan="3" |Intense Phrygian
|
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="4" |Soft Aeolian
|-
|-
!Minimum-comma
|10\9
!Median
|95.238
! colspan="2" |Maximum+comma~Minimum-comma
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
!Median
! colspan="2" |Maximum+comma~Minimum-comma
!''r¢''
!Median
!Maximum+comma
|-
|-
|1
|19\17
|F#/Gb
|G#/Ab
|91.429-94.286
|94.737
| colspan="2" |92.381-98.095
|95.798
|95.798
| colspan="2" |93.571-99.286
|
|-
|9\8
|''96.429''
|''96.429''
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|-
|17\15
|97.143
|97.143
|97.959-100.816
|
|-
|-
|2
|8\7
|G
|97.959
|A
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|183.857-188.571
|189.473
| colspan="2" |184.762-196.1905
|191.597
| colspan="2" |187.143-198.571
|''192.857''
|194.286
|195.918-201.633
|-
|-
|3
|15\13
|G#/Ab
|98.901
|A#/Bb
|
|274.286-282.857
|284.2105
| colspan="2" |277.143-294.286
|287.395
| colspan="2" |280.714-297.857
|''289.286''
|291.429
|293.878-301.449
|-
|4
|A
|B
|363.714-377.143
|378.947
| colspan="2" |369.524-392.381
|383.193
| colspan="2" |374.286-397.143
|''385.714''
|388.571
|391.836-403.265
|-
|5
|A#/Bb
|B#/Cb
|455.143-471.429
|473.684
| colspan="2" |461.905-490.476
|478.992
| colspan="2" |467.857-496.429
|''482.143''
|485.714
|489.796-504.082
|-
|6
|B
|C
|546.571-565.714
|568.421
| colspan="2" |554.286-588.571
|574.79
| colspan="2" |561.429-595.714
|''578.571''
|582.857
|587.755-604.898
|-
|7
|H
|Q
|640-660
|663.158
| colspan="2" |646.667-686.667
|670.588
| colspan="2" |655-695
|''675''
|680
|685.714-705.714
|-
|8
|H#/Cb
|Q#/Db
|731.429-754.286
|757.894
| colspan="2" |739.048-784.762
|766.387
| colspan="2" |748.571-794.286
|''771.429''
|777.143
|783.6735-806.531
|-
|-
|9
|22\19
|C
|99.248
|D
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|823.857-848.571
|853.632
| colspan="2" |831.429-882.857
|862.185
| colspan="2" |842.143-893.571
|''867.857''
|874.286
|881.633-907.347
|-
|-
|10
|29\25
|C#/Db
| 99.429
|D#/Eb
|
|914.286-942.857
|947.368
| colspan="2" |923.8095-980.952
|957.983
| colspan="2" |935.714-992.857
|''964.286''
|971.429
|979.592-1008.163
|-
|11
|D
|E
|1003.714-1037.143
|1042.105
| colspan="2" |1016.1905-1079.048
|1053.7815
| colspan="2" |1029.286-1092.143
|''1060.714''
|1068.571
|1077.551-1108.98
|-
|12
|D#/Eb
|E#/Fb
|1095.143-1131.429
|1136.842
| colspan="2" |1108.429-1177.143
|1149.58
| colspan="2" |1122.857-1191.429
|''1157.143''
|1165.714
|1175.51-1209.796
|-
|13
|E
|F
|1186.571-1225.714
|1231.579
| colspan="2" |1200.952-1275.238
|1245.378
| colspan="2" |1216.429-1290.714
|''1253.571''
|1262.857
|1273.469-1310.612
|-
|-
|14
|7\6
|F
|''100.000''
|G
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|1280-1320
|1326.316
| colspan="2" |1293.333-1373.333
|1341.1765
| colspan="2" |1310-1390
|''1350''
|1360
|1371.429-1411.429
|}
{| class="wikitable"
! rowspan="3" |Degrees
! rowspan="3" |Octatonic
! colspan="6" |Aeolian
! colspan="8" |Intense Aeolian
|-
|-
! colspan="3" |Flattone
|20\17
! colspan="3" |Meantone
|100.840
! colspan="5" |Superpyth
|
! colspan="3" |Ultrapyth
|-
|-
!Minimum-comma
|13\11
!Median
| 101.299
! colspan="2" |Maximum+comma~Minimum-comma
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
!Median
! colspan="2" |Maximum+comma~Minimum-comma
! colspan="2" |''r¢''
!Median
! colspan="2" |Maximum+comma~Minimum-comma
!Median
!Maximum+comma
|-
|-
|1
|19\16
|F#/Gb
|95.102-97.959
|98.901
| colspan="2" |96.391-102.105
|99.429
| colspan="2" |97.143-102.857
| colspan="2" |''100''
|100.84
| colspan="2" |98.442-104.156
|101.786
|101.786
|102.857-105.714
|
|-
|2
|G
|190.204-195.918
|197.802
| colspan="2" |192.782-204.2105
|198.857
| colspan="2" |194.286-205.714
| colspan="2" |''200''
|201.681
| colspan="2" |196.883-208.312
|203.571
|205.714-211.429
|-
|3
|G#/Ab
|285.306-293.878
|296.703
| colspan="2" |289.173-306.316
|297.286
| colspan="2" |291.429-308.571
| colspan="2" |''300''
|302.521
| colspan="2" |295.325-312.4675
|305.357
|308.571-317.143
|-
|4
|A
|380.408-391.836
|395.604
| colspan="2" |385.564-408.421
|397.714
| colspan="2" |388.571-411.429
| colspan="2" |''400''
|403.361
| colspan="2" |393.726-416.623
|407.143
|411.429-422.857
|-
|5
|A#/Bb
|475.51-489.796
|494.5055
| colspan="2" |481.956-510.526
|496.143
| colspan="2" |485.714-514.286
| colspan="2" |''500''
|504.201
| colspan="2" |492.208-520.779
|508.929
|514.286-528.571
|-
|6
|B
|570.612-587.755
|593.407
| colspan="2" |578.246-612.632
|596.571
| colspan="2" |582.857-617.143
| colspan="2" |''600''
|605.042
| colspan="2" |590.649-624.935
|610.714
|617.143-634.286
|-
|7
|H
|665.714-685.714
|692.308
| colspan="2" |674.737-714.737
|696
| colspan="2" |680-720
| colspan="2" |''700''
|705.882
| colspan="2" |689.091-729.091
|712.5
|720-740
|-
|8
|H#/Cb
|760.916-783.6735
|791.209
| colspan="2" |771.128-816.842
|795.429
| colspan="2" |777.143-822.857
| colspan="2" |''800''
|806.723
| colspan="2" |787.5325-833.247
|814.286
|822.857-845.714
|-
|9
|C
|855.918-881.633
|890.11
| colspan="2" |867.506-918.947
|894.857
| colspan="2" |874.286-925.714
| colspan="2" |''900''
|907.563
| colspan="2" |885.974-937.403
|916.071
|925.714-951.429
|-
|-
|10
|6\5
|C#/Db
|102.857
|951.02-979.592
|Ultrapyth Intense Aeolian mode ends
|989.011
|}Golden/Pyrite Tunings±13¢
| colspan="2" |963.91-1021.053
|993.286
| colspan="2" |971.429-1028.571
| colspan="2" |''1000''
|1008.403
| colspan="2" |984.416-1041.558
|1017.857
|1028.571-1057.143
|-
|11
|D
|1046.122-1077.551
|1087.912
| colspan="2" |1060.301-1123.158
|1093.714
| colspan="2" |1068.571-1131.429
| colspan="2" |''1100''
|1109.244
| colspan="2" |1082.857-1145.714
|1119.643
|1131.429-1162.857
|-
|12
|D#/Eb
|1141.2245-1175.51
|1186.813
| colspan="2" |1156.692-1225.263
|1192.143
| colspan="2" |1165.714-1234.286
| colspan="2" |''1200''
|1210.084
| colspan="2" |1181.299-1249.87
|1221.429
|1234.286-1268.571
|-
|13
|E
|1236.3265-1273.469
|1285.714
| colspan="2" |1253.083-1327.368
|1292.571
| colspan="2" |1262.857-1337.143
| colspan="2" |''1300''
|1310.924
| colspan="2" |1279.74-1254.026
|1323.214
|1337.143-1374.286
|-
|14
|F
|1331.429-1371.429
|1384.615
| colspan="2" |1349.474-1429.474
|1392
| colspan="2" |1360-1440
| colspan="2" |''1400''
|1411.765
| colspan="2" |1378.182-1458.182
|1425
|1440-1480
|}
Golden/Pyrite Tunings±13¢
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 1,008: Line 585:
|1414.428-1440.428
|1414.428-1440.428
|}
|}
[[Category:14-tone]]
[[Category:ed9/4]]
[[Category:edIX]]
[[Category:todo:add_definition]]
[[Category:todo:unify_precision]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/14edIX"