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This scale, a Long Common Practice minor mode,occurs in 12edo, where it is the equal division of the major ninth. It has the 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
|-
|1/1
|''85.714''
|Soft Phrygian mode begins
|-
|23\22
|89.610
|
|-
|22\21
|89.796
|Soft Phrygian mode ends, Thirdtone Phrygian mode begins
|-
|21\20
|90.000
|
|-
|20\19
|90.226
|
|-
|19\18
|90.476
|
|-
|37\35
|90.612
|
|-
|18\17
|90.756
|
|-
|17\16
|91.071
|
|-
|16\15
|91.429
|Thirdtone Phrygian mode ends
|-
|15\14
|91.837
|Semitone Phrygian mode begins
|-
|14\13
|92.308
|
|-
|27\25
|92.571
|
|-
|13\12
|''92.857''
|
|-
|12\11
|93.506
|
|-
|11\10
|94.286
|Semitone Phrygian mode ends, Intense Phrygian mode begins
|-
|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
! rowspan="2" |Degrees
! rowspan="2" |Octatonic
! colspan="2" rowspan="2" |Octatonic
! colspan="3" |Phrygian Mode (aka Double) Neapolitan Temperament (natural minor)
! colspan="2" |Intense Phrygian
! colspan="2" |Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor)
! colspan="2" |Intense Phrygian-Soft Aeolian
! colspan="2" |Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
! colspan="2" |Soft Aeolian
|-
|-
!Absolute Minimum
!Min-Med/Min-Max
!Minimum
!Med-Max
!Maximum
!Min-Med/Min-Max
! |Minimum
!Med-Max
!Maximum
!Min-Med/Min-Max
!Minimum
!Med-Max
!Maximum
|-
|-
| |1
|1
| |F#/Gb
|F#/Gb
|85.714
|G#/Ab
|89.143
|93.6975-95.555
| colspan="2" |94.286
|93.922-95.779
| colspan="2" |97.959
|94.732-96.589
|102.857
|95.012-96.869
|96.037-97.894
|96.397-98.254
|-
|-
| |2
|2
| |G
|G
|171.429
|A
|178.286
|187.395-191.109
| colspan="2" |188.571
|187.844-191.558
| colspan="2" |195.918
|189.463-193.178
|205.714
|190.0235-193.738
|192.074-195.789
|192.794-196.508
|-
|-
| |3
|3
| |G#/Ab
|G#/Ab
|257.143
|A#/Bb
|267.429
|281.093-286.664
| colspan="2" |282.857
|281.765-287.337
| colspan="2" |293.878
|284.195-289.766
|308.571
|285.035-290.607
|288.112-293.683
|289.191-294.7625
|-
|-
| |4
|4
| |A
|A
|342.857
|B
|356.571
|374.79-382.219
| colspan="2" |377.143
|375.687-383.116
| colspan="2" |391.836
|378.9265-386.219
|411.429
|380.047-387.476
|384.149-391.577
|385.588-393.017
|-
|-
| |5
|5
| |A#/Bb
|A#/Bb
|428.571
|B#/Cb
|445.714
|468.488-477.773
| colspan="2" |471.429
|469.609-478.895
| colspan="2" |489.796
|473.658-482.944
|514.286
|475.059-484.3445
|480.186-489.472
|481.985-491.271
|-
|-
| |6
|6
| |B
|B
|514.286
|C
|534.857
|562.185-573.328
| colspan="2" |565.714
|563.531-574.674
| colspan="2" |587.755
|568.39-579.533
|617.143
|570.0705-581.213
|576.223-587.366
|578.382-589.525
|-
|-
| |7
|7
| |H
|H
|600
|Q
|624
|655.883-668.883
| colspan="2" |660
|657.4525-670.4525
| colspan="2" |685.714
|663.121-676.121
|720
|665.082-678.082
|672.2605-685.2605
|674.779-687.779
|-
|-
| |8
|8
| |H#/Cb
|H#/Cb
|685.714
|Q#/Db
|713.143
|749.58-764.4375
| colspan="2" |754.286
|751.374-766.231
| colspan="2" |783.6735
|757.853-772.71
|822.857
|760.094-774.951
|768.298-783.155
|771.176-786.033
|-
|-
| |9
|9
| |C
|C
|771.429
|D
|802.286
|843.278-859.992
| colspan="2" |848.571
|845.296-862.01
| colspan="2" |881.633
|852.585-869.299
|925.714
|855.105-871.82
|864.335-881.049
|867.573-884.2875
|-
|-
| |10
|10
| |C#/Db
|C#/Db
|857.143
|D#/Eb
|891.429
|936.975-955.5546
| colspan="2" |942.857
|939.218-957.789
| colspan="2" |979.592
|947.316-965.887
|1028.571
|950.1175-968.689
|960.372-978.9435
|963.97-982.542
|-
|-
| |11
|11
| |D
|D
|942.857
|E
|980.571
|1030.672-1051.101
| colspan="2" |1037.143
|1033.101-1053.568
| colspan="2" |1077.551
|1042.048-1062.477
|1131.429
|1045.129-1065.558
|1056.409-1076.838
|1060.367-1080.796
|-
|-
| |12
|12
| |D#/Eb
|D#/Eb
|1028.571
|E#/Fb
|1069.714
|1124.3705-1146.656
| colspan="2" |1131.429
|1127.061-1149.347
| colspan="2" |1175.51
|1136.78-1159.065
|1234.286
|1140.141-1162.427
|1152.4465-1174.732
|1156.764-1179.05
|-
|-
| |13
|13
| |E
|E
|1114.286
|F
|1158.857
|1218.068-1242.211
| colspan="2" |1225.714
|1220.983-1245.126
| colspan="2" |1273.469
|1231.511-1255.654
|1337.143
|1235.153-1259.295
|1248.484-1272.626
|1253.161-1227.304
|-
|-
|14
|14
|F
|F
|1200
|G
|1248
|1311.767-1337.767
| colspan="2" |1320
|1314.905-1340.905
| colspan="2" |1371.429
|1326.243-1352.243
|1440
|1330.1645-1356.1645
|}Golden Tunings
|1344.521-1370.521
|1349.558-1375.558
|}
{| class="wikitable"
{| 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
|-
|-
!Degrees
!Min-Med
!Octatonic
!Med-Max~Min-Max
!Phrygian Mode (natural minor)
!Min-Med/Min-Max
!Phrygian-Aeolian Mode (intermediate minor)
!Med-Max
!Aeolian Mode (melodic/harmonic minor)
!Min-Med
!Min-Max/Med-Max
!Min-Med/Min-Max
!Med-Max
|-
|-
| |1
|1
| |F#/Gb
|F#/Gb
|90.162
|97.737-99.5945
|95.395
| colspan="2" |98.0805-100.2995
|99.459
|98.574-100.431
|99.761-101.618
|100.043-101.9
|100.712-102.569
|101.031-102.888
|-
|-
| |2
|2
| |G
|G
|180.3245
|195.475-199.189
|190.79
| colspan="2" |196.161-200.599
|198.918
|197.148-200.862
|199.523-203.237
|200.085-203.8
|201.424-205.138
|202.061.205.7755
|-
|-
| |3
|3
| |G#/Ab
|G#/Ab
|270.487
|293.212-298.783
|286.185
| colspan="2" |294.2415-300.8985
|298.377
|295.721-301.293
|299.284-304.885
|300.128-305.6995
|302.135-307.707
|303.092-308.663
|-
|-
| |4
|4
| |A
|A
|360.649
|390.949-398.378
|381.58
| colspan="2" |392.322-401.198
|397.839
|394.295-401.724
|399.045-406.474
|400.171-407.599
|402.848-410.276
|404.122-411.551
|-
|-
| |5
|5
| |A#/Bb
|A#/Bb
|450.811
|488.687-497.972
|476.975
| colspan="2" |490.4025-501.497
|497.296
|492.869-502.155
|498.806-508.092
|500.2135-509.499
|503.56-512.845
|505.153-514.439
|-
|-
| |6
|6
| |B
|B
|540.973
|586.424-597.567
|572.37
| colspan="2" |588.483-601.797
|597.755
|591.443-602.586
|598.568-609.711
|600.256-611.399
|604.2715-615.414
|606.1835-617.326
|-
|-
| |7
|7
| |H
|H
|631.136
|684.161-697.161
|667.765
| colspan="2" |686.5635-702.096
|696.2145
|690.017-703.017
|698.329-711.329
|700.299-713.299
|704.983-717.983
|707.214-720.214
|-
|-
| |8
|8
| |H#/Cb
|H#/Cb
|721.298
|781.899-796.756
|763.16
| colspan="2" |784.644-802.3955
|795.674
|788.5905-803.448
|798.09-812.947
|800.342-815.199
|805.695-820.5525
|808.245-823.102
|-
|-
| |9
|9
| |C
|C
|811.46
|879.636-896.35
|858.555
| colspan="2" |882.724-902.695
|895.133
|887.164-903.879
|897.8582-914.566.
|900.384-917.099
|906.407-923.1215
|909.275-925.9895
|-
|-
| |10
|10
| |C#/Db
|C#/Db
|901.622
|977.373-995.945
|953.95
| colspan="2" |980.805-1002.995
|994.592
|985.738-1004.3095
|997.613-1016.184
|1000.427-1018.9985
|1007.119-1025.691
|1010.306-1028.877
|-
|-
| |11
|11
| |D
|D
|991.785
|1075.111-1095.539
|1049.345
| colspan="2" |1078.885-1003.294
|1094..051
|1084.312-1104.7405
|1097.374-1117.803
|1100.47-1120.898
|1107.831-1128.26
|1111.134-1131.765
|-
|-
| |12
|12
| |D#/Eb
|D#/Eb
|1081.947
|1172.848-1195.134
|1144.74
| colspan="2" |1176.966-1203.594
|1193.5105
|1182.886-1205.171
|1197.135-1219.421
|1200.512-1222.798
|1208.543-1230.829
|1212.367-1234.653
|-
|-
| |13
|13
| |E
|E
|1172.109
|1270.585-1294.728
|1240.435
| colspan="2" |1275.046-1303.893
|1292.97
|1281.4956-1305.603
|1296.867-1321.04
|1300.555-1324.698
|1309.255-1333.398
|1313.3975-1337.54
|-
|-
|14
|14
|F
|F
|1262.271
|1368.323-1394.324
|1335.53
| colspan="2" |1373.127-1404.193
|1392.429
|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]]
Retrieved from "https://en.xen.wiki/w/User:Moremajorthanmajor/14edIX"