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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
|F
|''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
|27\25
|G
|92.571
|''1200''
|
|1254.5455
| colspan="2" |1257.143
|1266.667-1268.571
| colspan="2" |1280-1285.714
|1296-''1300''
|1320
|}
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
|13\12
! colspan="2" rowspan="2" |Octatonic
|''92.857''
! colspan="5" |Intense Phrygian
|
! colspan="5" |Intense Phrygian-Soft Aeolian
! colspan="6" |Soft Aeolian
|-
|-
!Minimum
|12\11
!Min-Med/Min-Max±13¢
|93.506
!Median
|
!Med-Max±13¢
!Maximum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Med-Max±13¢
!Maximum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Med-Max±13¢
!11/5±13¢
!Maximum
|-
|-
|1
|11\10
|F#/Gb
|G#/Ab
|94.286
|94.286
|93.6975-95.555
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|-
|21\19
|94.737
|94.737
|93.922-95.779
|
| colspan="2" |95.238
|94.732-96.589
|95.798
|95.012-96.869
| colspan="2" |''96.429''
|96.037-97.894
|97.143
|96.397-98.254
|96.572-98.429
|97.959
|-
|-
|2
|10\9
|G
|95.238
|A
|Intense Phrygian mode ends, Intense Phrygian-Soft Aeolian mode begins
|188.571
|187.395-191.109
|189.473
|187.844-191.558
| colspan="2" |190.476
|189.463-193.178
|191.597
|190.0235-193.738
| colspan="2" |''192.857''
|192.074-195.789
|194.286
|192.794-196.508
|193.1435-196.858
|195.918
|-
|-
|3
|19\17
|G#/Ab
|95.798
|A#/Bb
|
|282.857
|281.093-286.664
|284.2105
|281.765-287.337
| colspan="2" |285.714
|284.195-289.766
|287.395
|285.035-290.607
| colspan="2" |''289.286''
|288.112-293.683
|291.429
|289.191-294.7625
|289.715-295.287
|293.878
|-
|-
|4
|9\8
|A
|''96.429''
|B
|Intense Phrygian-Soft Aeolian mode ends, Soft Aeolian mode begins
|377.143
|374.79-382.219
|378.947
|375.687-383.116
| colspan="2" |380.952
|378.9265-386.219
|383.193
|380.047-387.476
| colspan="2" |''385.714''
|384.149-391.577
|388.571
|385.588-393.017
|386.287-393.7155
|391.836
|-
|-
|5
|17\15
|A#/Bb
|97.143
|B#/Cb
|
|471.429
|468.488-477.773
|473.684
|469.609-478.895
| colspan="2" |476.1905
|473.658-482.944
|478.992
|475.059-484.3445
| colspan="2" |''482.143''
|480.186-489.472
|485.714
|481.985-491.271
|482.859-492.144
|489.796
|-
|-
|6
|8\7
|B
|97.959
|C
|Soft Aeolian mode ends, Flattone Aeolian mode begins
|565.714
|562.185-573.328
|568.421
|563.531-574.674
| colspan="2" |571.429
|568.39-579.533
|574.79
|570.0705-581.213
| colspan="2" |''578.571''
|576.223-587.366
|582.857
|578.382-589.525
|579.43-590.573
|587.755
|-
|-
|7
|15\13
|H
|98.901
|Q
|
|660
|655.883-668.883
|663.158
|657.4525-670.4525
| colspan="2" |666.667
|663.121-676.121
|670.588
|665.082-678.082
| colspan="2" |''675''
|672.2605-685.2605
|680
|674.779-687.779
|676.002-689.002
|685.714
|-
|8
|H#/Cb
|Q#/Db
|754.286
|749.58-764.4375
|757.894
|751.374-766.231
| colspan="2" |761.905
|757.853-772.71
|766.387
|760.094-774.951
| colspan="2" |''771.429''
|768.298-783.155
|777.143
|771.176-786.033
|772.574-787.431
|783.6735
|-
|-
|9
|22\19
|C
|99.248
|D
|Flattone Aeolian mode ends, Meantone Aeolian mode begins
|848.571
|843.278-859.992
|853.632
|845.296-862.01
| colspan="2" |857.143
|852.585-869.299
|862.185
|855.105-871.82
| colspan="2" |''867.857''
|864.335-881.049
|874.286
|867.573-884.2875
|869.146-885.86
|881.633
|-
|-
|10
|29\25
|C#/Db
| 99.429
|D#/Eb
|
|942.857
|936.975-955.5546
|947.368
|939.218-957.789
| colspan="2" |952.381
|947.316-965.887
|957.983
|950.1175-968.689
| colspan="2" |''964.286''
|960.372-978.9435
|971.429
|963.97-982.542
|965.717-984.289
|979.592
|-
|-
|11
|7\6
|D
|''100.000''
|E
|Meantone Aeolian mode ends, Superpyth Intense Aeolian mode begins
|1037.143
|1030.672-1051.101
|1042.105
|1033.101-1053.568
| colspan="2" |1047.619
|1042.048-1062.477
|1053.7815
|1045.129-1065.558
| colspan="2" |''1060.714''
|1056.409-1076.838
|1068.571
|1060.367-1080.796
|1062.289-1082.718
|1077.551
|-
|-
|12
|20\17
|D#/Eb
|100.840
|E#/Fb
|
|1131.429
|1124.3705-1146.656
|1136.842
|1127.061-1149.347
| colspan="2" |1142.857
|1136.78-1159.065
|1149.58
|1140.141-1162.427
| colspan="2" |''1157.143''
|1152.4465-1174.732
|1165.714
|1156.764-1179.05
|1158.861-1181.1465
|1175.51
|-
|-
|13
|13\11
|E
| 101.299
|F
|Superpyth Intense Aeolian mode ends, Ultrapyth Intense Aeolian mode begins
|1225.714
|1218.068-1242.211
|1231.579
|1220.983-1245.126
| colspan="2" |1238.095
|1231.511-1255.654
|1245.378
|1235.153-1259.295
| colspan="2" |''1253.571''
|1248.484-1272.626
|1262.857
|1253.161-1227.304
|1255.4325-1279.575
|1273.469
|-
|-
|14
|19\16
|F
|101.786
|G
|
|1320
|1311.767-1337.767
|1326.316
|1314.905-1340.905
| colspan="2" |1333.333
|1326.243-1352.243
|1341.1765
|1330.1645-1356.1645
| colspan="2" |''1350''
|1344.521-1370.521
|1360
|1349.558-1375.558
|1352.004-1378.004
|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
|6\5
!Median
!Maximum
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
|-
|1
|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 1,089: 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"