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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
!Maximum+comma
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
!Minimum-comma
!Median
!Maximum+comma
|-
|-
|1
|21\20
|G#/Ab
|90.000
|83.571-''85.714''
|
|89.61
| colspan="2" |87.653-91.939
|90.476-90.612
| colspan="2" |91.429-91.837
|92.571-''92.857''
|94.286-96.429
|-
|-
|2
|20\19
|A
|90.226
|167.143-''171.429''
|
|179.221
| colspan="2" |175.306-183.878
|180.952-181.2245
| colspan="2" |182.857-183.6735
|185.143-''185.714''
|188.571-192.857
|-
|-
|3
|19\18
|A#/Bb
|90.476
|250.714-''257.143''
|
|268.831
| colspan="2" |262.959-275.816
|271.429-271.837
| colspan="2" |274.286-275.51
|277.714-''278.571''
|282.857-289.286
|-
|-
|4
|37\35
|B
|90.612
|334.286-''342.857''
|
|358.442
| colspan="2" |350.612-367.755
|361.905-362.449
| colspan="2" |365.714-367.347
|370.286-''371.429''
|377.143-385.714
|-
|5
|B#/Cb
|417.857-''428.571''
|448.052
| colspan="2" |438.265-459.694
|452.381-453.061
| colspan="2" |457.143-459.184
|462.857-''464.286''
|471.429-482.143
|-
|-
|6
|18\17
|C
|90.756
|501.429-''514.286''
|
|537.662
| colspan="2" |525.918-551.633
|542.857-543.6735
| colspan="2" |548.571-551.02
|555.429-''557.143''
|565.714-578.571
|-
|-
|7
|17\16
|Q
|91.071
|585-''600''
|
|627.273
| colspan="2" |613.571-643.571
|633.333-634.286
| colspan="2" |640-642.857
|648-''650''
|660-675
|-
|-
|8
|16\15
|Q#/Db
|91.429
|668.571-''685.714''
|Thirdtone Phrygian mode ends
|716.883
| colspan="2" |701.2245-735.51
|723.8095-724.898
| colspan="2" |731.429-734.694
|740.571-''742.857''
|754.286-771.429
|-
|-
|9
|15\14
|D
|91.837
|752.143-''771.429''
|Semitone Phrygian mode begins
|806.4935
| colspan="2" |788.878-827.449
|814.286-815.510
| colspan="2" |822.857-826.531
|833.143-''835.714''
|848.571-867.857
|-
|-
|10
|14\13
|D#/Eb
|92.308
|835.714-''857.143''
|
|896.103
| colspan="2" |876.531-919.388
|904.762-906.1225
| colspan="2" |914.286-918.367
|925.714-''928.571''
|942.857-964.286
|-
|-
|11
|27\25
|E
|92.571
|919.286-''942.857''
|
|985.714
| colspan="2" |964.184-1011.327
|995.238-996.735
| colspan="2" |1005.714-1010.204
|1018.286-''1021.429''
|1037.143-1060.714
|-
|-
|12
|13\12
|E#/Fb
|''92.857''
|1002.857-''1028.571''
|
|1075.325
| colspan="2" |1051.837-1103.266
|1085.714-1087.347
| colspan="2" |1097.143-1102.041
|1110.857-''1114.286''
|1131.429-1157.143
|-
|-
|13
|12\11
|F
|93.506
|1086.429-''1114.286''
|
|1164.935
| colspan="2" |1139.49-1195.204
|1176.1905-1177.959
| colspan="2" |1188.571-1193.878
|1203.429-''1207.143''
|1225.714-1253.571
|-
|-
|14
|11\10
|G
|94.286
|1170-''1200''
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|1254.5455
| colspan="2" |1227.143-1287.143
|1266.667-1268.571
| colspan="2" |1250-1315.714
|1296-''1300''
|1320-1350
|}
{| 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
!Maximum+comma
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
!Minimum-comma
!Median
!Maximum+comma
!Minimum-comma
!''r¢''
!Median
!Maximum+comma
|-
|-
|1
|19\17
|F#/Gb
|G#/Ab
|92.143-94.286
|94.737
| colspan="2" |95.238
|95.798
|95.798
| colspan="2" |94.286-98.571
|
|-
|9\8
|''96.429''
|''96.429''
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|-
|17\15
|97.143
|97.143
|97.959-100.102
|
|-
|-
|2
|8\7
|G
|97.959
|A
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|184.286-188.571
|189.473
| colspan="2" |190.476
|191.597
| colspan="2" |188.571-197.143
|''192.857''
|194.286
|195.918-200.204
|-
|-
|3
|15\13
|G#/Ab
|98.901
|A#/Bb
|
|276.429-282.857
|284.2105
| colspan="2" |285.714
|287.395
| colspan="2" |282.857-295.714
|''289.286''
|291.429
|293.878-300.306
|-
|4
|A
|B
|368.571-377.143
|378.947
| colspan="2" |380.952
|383.193
| colspan="2" |377.143-394.286
|''385.714''
|388.571
|391.836-400.408
|-
|5
|A#/Bb
|B#/Cb
|460.714-471.429
|473.684
| colspan="2" |476.1905
|478.992
| colspan="2" |471.429-492.857
|''482.143''
|485.714
|489.796-500.51
|-
|6
|B
|C
|552.857-565.714
|568.421
| colspan="2" |571.429
|574.79
| colspan="2" |565.714-591.429
|''578.571''
|582.857
|587.755-600.612
|-
|7
|H
|Q
|645-660
|663.158
| colspan="2" |666.667
|670.588
| colspan="2" |660-690
|''675''
|680
|685.714-700.714
|-
|8
|H#/Cb
|Q#/Db
|737.143-754.286
|757.894
| colspan="2" |761.905
|766.387
| colspan="2" |754.286-788.571
|''771.429''
|777.143
|783.6735-800.806
|-
|-
|9
|22\19
|C
|99.248
|D
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|829.286-848.571
|853.632
| colspan="2" |857.143
|862.185
| colspan="2" |848.571-887.143
|''867.857''
|874.286
|881.633-900.918
|-
|-
|10
|29\25
|C#/Db
| 99.429
|D#/Eb
|
|921.429-942.857
|947.368
| colspan="2" |952.381
|957.983
| colspan="2" |942.857-985.714
|''964.286''
|971.429
|979.592-1001.02
|-
|11
|D
|E
|1013.571-1037.143
|1042.105
| colspan="2" |1047.619
|1053.7815
| colspan="2" |1037.143-1084.286
|''1060.714''
|1068.571
|1077.551-1101.1225
|-
|12
|D#/Eb
|E#/Fb
|1105.714-1131.429
|1136.842
| colspan="2" |1142.857
|1149.58
| colspan="2" |1131.429-1182.857
|''1157.143''
|1165.714
|1175.51-1201.2245
|-
|13
|E
|F
|1197.857-1225.714
|1231.579
| colspan="2" |1238.095
|1245.378
| colspan="2" |1225.714-1281.429
|''1253.571''
|1262.857
|1273.469-1301.3265
|-
|-
|14
|7\6
|F
|''100.000''
|G
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|1290-1320
|1326.316
| colspan="2" |1333.333
|1341.1765
| colspan="2" |1320-1380
|''1350''
|1360
|1371.429-1401.429
|}
{| 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
!Maximum+comma
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
!Minimum-comma
!Median
!Maximum+comma
!Minimum-comma
! colspan="2" |''r¢''
!Median
!Maximum+comma
!Minimum-comma
!Median
!Maximum+comma
|-
|-
|1
|19\16
|F#/Gb
|95.816-97.959
|98.901
| colspan="2" |97.105-101.391
|99.429
| colspan="2" |97.857-102.143
| colspan="2" |''100''
|100.84
| colspan="2" |99.156-103.4415
|101.786
|101.786
|102.857-105
|
|-
|2
|G
|191.633-195.918
|197.802
| colspan="2" |194.2105-202.782
|198.857
| colspan="2" |195.714-204.286
| colspan="2" |''200''
|201.681
| colspan="2" |198.312-206.883
|203.571
|205.714-210
|-
|3
|G#/Ab
|288.449-293.878
|296.703
| colspan="2" |291.316-304.173
|297.286
| colspan="2" |293.571-206.429
| colspan="2" |''300''
|302.521
| colspan="2" |297.4675-310.3256
|305.357
|308.571-315
|-
|4
|A
|383.265-391.836
|395.604
| colspan="2" |388.421-405.564
|397.714
| colspan="2" |391.429-408.571
| colspan="2" |''400''
|403.361
| colspan="2" |396.623-413.726
|407.143
|411.429-420
|-
|5
|A#/Bb
|479.082-489.796
|494.5055
| colspan="2" |485.526-506.956
|496.143
| colspan="2" |489.286-510.714
| colspan="2" |''500''
|504.201
| colspan="2" |495.779-517.208
|508.929
|514.286-525
|-
|6
|B
|574.898-587.755
|593.407
| colspan="2" |582.632-608.246
|596.571
| colspan="2" |587.143-612.857
| colspan="2" |''600''
|605.042
| colspan="2" |594.935-620.6495
|610.714
|617.143-630
|-
|7
|H
|670.714-685.714
|692.308
| colspan="2" |679.737-709.737
|696
| colspan="2" |685-715
| colspan="2" |''700''
|705.882
| colspan="2" |694.091-724.091
|712.5
|720-735
|-
|8
|H#/Cb
|766.531-783.6735
|791.209
| colspan="2" |776.842-811.128
|795.429
| colspan="2" |782.857-817.143
| colspan="2" |''800''
|806.723
| colspan="2" |793.247-827.5355
|814.286
|822.857-840
|-
|9
|C
|862.347-881.633
|890.11
| colspan="2" |873.947-912.506
|894.857
| colspan="2" |880.714-919.286
| colspan="2" |''900''
|907.563
| colspan="2" |892.403-930.974
|916.071
|925.714-945
|-
|-
|10
|6\5
|C#/Db
|102.857
|958.163-979.592
|Ultrapyth Intense Aeolian mode ends
|989.011
|}Golden/Pyrite Tunings±13¢
| colspan="2" |971.053-1013.91
|993.286
| colspan="2" |978.571-1021.429
| colspan="2" |''1000''
|1008.403
| colspan="2" |991.5585-1034.416
|1017.857
|1028.571-1050
|-
|11
|D
|1053.98-1077.551
|1087.912
| colspan="2" |1068.158-1115.301
|1093.714
| colspan="2" |1076.429-1123.571
| colspan="2" |''1100''
|1109.244
| colspan="2" |1090.714-1137.857
|1119.643
|1131.429-1155
|-
|12
|D#/Eb
|1149.796-1175.51
|1186.813
| colspan="2" |1165.263-1216.692
|1192.143
| colspan="2" |1174.286-1225.714
| colspan="2" |''1200''
|1210.084
| colspan="2" |1189.87-1241.299
|1221.429
|1234.286-1260
|-
|13
|E
|1425.612-1273.469
|1285.714
| colspan="2" |1262.368-1318.083
|1292.571
| colspan="2" |1272.143-1327.857
| colspan="2" |''1300''
|1310.924
| colspan="2" |1289.026-1244.74
|1323.214
|1337.143-1365
|-
|14
|F
|1341.429-1371.429
|1384.615
| colspan="2" |1359.474-1419.474
|1392
| colspan="2" |1370-1430
| colspan="2" |''1400''
|1411.765
| colspan="2" |1388.182-1448.182
|1425
|1440-1470
|}
Golden/Pyrite Tunings±13¢
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 1,014: 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"