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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
! colspan="3" |Soft Phrygian
! colspan="6" |Phrygian
|-
! rowspan="2" |Minimum
! rowspan="2" |Median
! rowspan="2" |Maximum
! colspan="3" |Thirdtone
! colspan="3" |Semitone
|-
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
|-
|1
|G#/Ab
|''85.714''
|''85.714''
|89.61
|Soft Phrygian mode begins
| colspan="2" |89.796
|90.476-90.612
| colspan="2" |91.429-91.837
|92.571-''92.857''
|94.286
|-
|-
|2
|23\22
|A
|89.610
|''171.429''
|
|179.221
| colspan="2" |179.592
|180.952-181.2245
| colspan="2" |182.857-183.6735
|185.143-''185.714''
|188.571
|-
|-
|3
|22\21
|A#/Bb
|89.796
|''257.143''
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|268.831
| colspan="2" |269.388
|271.429-271.837
| colspan="2" |274.286-275.51
|277.714-''278.571''
|282.857
|-
|-
|4
|21\20
|B
|90.000
|''342.857''
|
|358.442
| colspan="2" |359.184
|361.905-362.449
| colspan="2" |365.714-367.347
|370.286-''371.429''
|377.143
|-
|-
|5
|20\19
|B#/Cb
|90.226
|''428.571''
|
|448.052
| colspan="2" |448.98
|452.381-453.061
| colspan="2" |457.143-459.184
|462.857-''464.286''
|471.429
|-
|-
|6
|19\18
|C
|90.476
|''514.286''
|
|537.662
| colspan="2" |538.776
|542.857-543.6735
| colspan="2" |548.571-551.02
|555.429-''557.143''
|565.714
|-
|-
|7
|37\35
|Q
|90.612
|''600''
|
|627.273
| colspan="2" |628.571
|633.333-634.286
| colspan="2" |640-642.857
|648-''650''
|660
|-
|-
|8
|18\17
|Q#/Db
|90.756
|''685.714''
|
|716.883
| colspan="2" |718.367
|723.8095-724.898
| colspan="2" |731.429-734.694
|740.571-''742.857''
|754.286
|-
|-
|9
|17\16
|D
|91.071
|''771.429''
|
|806.4935
| colspan="2" |808.163
|814.286-815.510
| colspan="2" |822.857-826.531
|833.143-''835.714''
|848.571
|-
|-
|10
|16\15
|D#/Eb
|91.429
|''857.143''
|Thirdtone Phrygian mode ends
|896.103
| colspan="2" |897.959
|904.762-906.1225
| colspan="2" |914.286-918.367
|925.714-''928.571''
|942.857
|-
|-
|11
|15\14
|E
|91.837
|''942.857''
|Semitone Phrygian mode begins
|985.714
| colspan="2" |987.755
|995.238-996.735
| colspan="2" |1005.714-1010.204
|1018.286-''1021.429''
|1037.143
|-
|-
|12
|14\13
|E#/Fb
|92.308
|''1028.571''
|
|1075.325
| colspan="2" |1077.551
|1085.714-1087.347
| colspan="2" |1097.143-1102.041
|1110.857-''1114.286''
|1131.429
|-
|-
|13
|27\25
|F
|92.571
|''1114.286''
|
|1164.935
| colspan="2" |1167.735
|1176.1905-1177.959
| colspan="2" |1188.571-1193.878
|1203.429-''1207.143''
|1225.714
|-
|-
|14
|13\12
|G
|''92.857''
|''1200''
|
|1254.5455
| colspan="2" |1257.143
|1266.667-1268.571
| colspan="2" |1280-1285.714
|1296-''1300''
|1320
|}
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|12\11
! colspan="2" rowspan="2" |Octatonic
|93.506
! colspan="3" |Intense Phrygian
|
! colspan="3" |Intense Phrygian-Soft Aeolian
! colspan="3" |Soft Aeolian
|-
|-
!Minimum
|11\10
!Median
|94.286
!Maximum
|Semitone Phrygian mode ends, Intense Phrygian mode begins
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
|-
|-
|1
|21\19
|F#/Gb
|G#/Ab
|94.286
|94.737
|94.737
| colspan="2" |95.238
|
|95.798
| colspan="2" |''96.429''
|97.143
|97.959
|-
|-
|2
|10\9
|G
|95.238
|A
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|188.571
|189.473
| colspan="2" |190.476
|191.597
| colspan="2" |''192.857''
|194.286
|195.918
|-
|-
|3
|19\17
|G#/Ab
|95.798
|A#/Bb
|
|282.857
|284.2105
| colspan="2" |285.714
|287.395
| colspan="2" |''289.286''
|291.429
|293.878
|-
|-
|4
|9\8
|A
|''96.429''
|B
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|377.143
|378.947
| colspan="2" |380.952
|383.193
| colspan="2" |''385.714''
|388.571
|391.836
|-
|-
|5
|17\15
|A#/Bb
|97.143
|B#/Cb
|
|471.429
|473.684
| colspan="2" |476.1905
|478.992
| colspan="2" |''482.143''
|485.714
|489.796
|-
|-
|6
|8\7
|B
|97.959
|C
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|565.714
|568.421
| colspan="2" |571.429
|574.79
| colspan="2" |''578.571''
|582.857
|587.755
|-
|-
|7
|15\13
|H
|98.901
|Q
|
|660
|663.158
| colspan="2" |666.667
|670.588
| colspan="2" |''675''
|680
|685.714
|-
|8
|H#/Cb
|Q#/Db
|754.286
|757.894
| colspan="2" |761.905
|766.387
| colspan="2" |''771.429''
|777.143
|783.6735
|-
|-
|9
|22\19
|C
|99.248
|D
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|848.571
|853.632
| colspan="2" |857.143
|862.185
| colspan="2" |''867.857''
|874.286
|881.633
|-
|-
|10
|29\25
|C#/Db
| 99.429
|D#/Eb
|
|942.857
|947.368
| colspan="2" |952.381
|957.983
| colspan="2" |''964.286''
|971.429
|979.592
|-
|-
|11
|7\6
|D
|''100.000''
|E
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|1037.143
|1042.105
| colspan="2" |1047.619
|1053.7815
| colspan="2" |''1060.714''
|1068.571
|1077.551
|-
|-
|12
|20\17
|D#/Eb
|100.840
|E#/Fb
|
|1131.429
|1136.842
| colspan="2" |1142.857
|1149.58
| colspan="2" |''1157.143''
|1165.714
|1175.51
|-
|-
|13
|13\11
|E
| 101.299
|F
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|1225.714
|1231.579
| colspan="2" |1238.095
|1245.378
| colspan="2" |''1253.571''
|1262.857
|1273.469
|-
|-
|14
|19\16
|F
|101.786
|G
|
|1320
|1326.316
| colspan="2" |1333.333
|1341.1765
| colspan="2" |''1350''
|1360
|1371.429
|}
{| class="wikitable"
! rowspan="3" |Degrees
! rowspan="3" |Octatonic
! colspan="6" |Aeolian
! colspan="6" |Intense Aeolian
|-
! colspan="3" |Flattone
! colspan="3" |Meantone
! colspan="3" |Superpyth
! colspan="3" |Ultrapyth
|-
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
|-
|-
|1
|6\5
|F#/Gb
|97.959
|98.901
| colspan="2" |99.248
|99.429
| colspan="2" |''100''
|100.84
| colspan="2" |101.299
|101.786
|102.857
|102.857
|-
|Ultrapyth Intense Aeolian mode ends
|2
|}Golden/Pyrite Tunings±13¢
|G
|195.918
|197.802
| colspan="2" |198.496
|198.857
| colspan="2" |''200''
|201.681
| colspan="2" |202.597
|203.571
|205.714
|-
|3
|G#/Ab
|293.878
|296.703
| colspan="2" |297.744
|297.286
| colspan="2" |''300''
|302.521
| colspan="2" |303.896
|305.357
|308.571
|-
|4
|A
|391.836
|395.604
| colspan="2" |396.9925
|397.714
| colspan="2" |''400''
|403.361
| colspan="2" |405.195
|407.143
|411.429
|-
|5
|A#/Bb
|489.796
|494.5055
| colspan="2" |496.241
|496.143
| colspan="2" |''500''
|504.201
| colspan="2" |506.4935
|508.929
|514.286
|-
|6
|B
|587.755
|593.407
| colspan="2" |595.4489
|596.571
| colspan="2" |''600''
|605.042
| colspan="2" |607.792
|610.714
|617.143
|-
|7
|H
|685.714
|692.308
| colspan="2" |694.737
|696
| colspan="2" |''700''
|705.882
| colspan="2" |709.091
|712.5
|720
|-
|8
|H#/Cb
|783.6735
|791.209
| colspan="2" |793.985
|795.429
| colspan="2" |''800''
|806.723
| colspan="2" |810.39
|814.286
|822.857
|-
|9
|C
|881.633
|890.11
| colspan="2" |893.233
|894.857
| colspan="2" |''900''
|907.563
| colspan="2" |911.688
|916.071
|925.714
|-
|10
|C#/Db
|979.592
|989.011
| colspan="2" |992.481
|993.286
| colspan="2" |''1000''
|1008.403
| colspan="2" |1012.987
|1017.857
|1028.571
|-
|11
|D
|1077.551
|1087.912
| colspan="2" |1091.729
|1093.714
| colspan="2" |''1100''
|1109.244
| colspan="2" |1114.286
|1119.643
|1131.429
|-
|12
|D#/Eb
|1175.51
|1186.813
| colspan="2" |1190.977
|1192.143
| colspan="2" |''1200''
|1210.084
| colspan="2" |1215.584
|1221.429
|1234.286
|-
|13
|E
|1273.469
|1285.714
| colspan="2" |1290.226
|1292.571
| colspan="2" |''1300''
|1310.924
| colspan="2" |1316.883
|1323.214
|1337.143
|-
|14
|F
|1371.429
|1384.615
| colspan="2" |1389.474
|1392
| colspan="2" |''1400''
|1411.765
| colspan="2" |1418.182
|1425
|1440
|}
Golden/Pyrite Tunings±13¢
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 984: 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"