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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
|-
|-
! rowspan="2" |Degrees
|1/1
! rowspan="2" |Octatonic
|''85.714''
! colspan="5" |Soft Phrygian
|Soft Phrygian mode begins
! colspan="7" |Phrygian
|-
|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
|-
|-
!Minimum
!Min-Med/Min-Max
!Min-Med±13¢
!Med-Max
!Median
!Min-Med/Min-Max
!Min-Max/Med-Max±13¢
!Med-Max
!Maximum
!Minimum
!Min-Med±13¢
!Min-Max±13¢
!Median
!Med-Max±13¢
!15/7±13¢
!Maximum
|-
|-
|1
|1
|G#/Ab
|G#/Ab
|85.714
|88.575-90.4325
|88.575-90.4325
!89.61
|88.751-90.608
|88.751-90.608
! colspan="2" |89.796
|89.103-91.32
|89.855-91.712
|89.871-91.7835
|90.235-92.092
|91.334-93.515
!91.244
|91.983-94.271
|91.234-93.191
|93.317-95.1745
|94.286
|-
|-
|2
|2
|A
|A
|171.429
|177.151-180.865
|177.151-180.865
!179.221
|177.501-181.216
|177.501-181.216
! colspan="2" |179.592
|178.206-182.64
|179.709-183.4235
|179.743-183.567
|180.47-184.184
|182.667-187.031
!182.4885
|183.965-188.543
|182.667-186.382
|186.635-190.349
|188.571
|-
|-
|3
|3
|A#/Bb
|A#/Bb
|257.143
|265.756-271.2975
|265.756-271.2975
!268.831
|266.252-271.823
|266.252-271.823
! colspan="2" |269.388
|267.309-273.96
|269.564-275.135
|269.614-275.351
|270.705-276.276
|274.001-280.545
!273.733
|275.948-282.814
|274.001-279.5725
|279.952-285.5235
|282.857
|-
|-
|4
|4
|B
|B
|342.857
|354.301-361.73
|354.301-361.73
!358.442
|355.003-362.431
|355.003-362.431
! colspan="2" |359.184
|356.412-365.28
|359.4185-366.847
|359.4855-367.134
|360.94-368.3685
|365.335-374.613
!364.977
|367.931-377.085
|365.335-372.763
|373.269-380.698
|377.143
|-
|-
|5
|5
|B#/Cb
|B#/Cb
|428.571
|442.877-452.1625
|442.877-452.1625
!448.052
|443.753-453.039
|443.753-453.039
! colspan="2" |448.98
|445.515-456.6
|449.273-458.559
|449.357-458.918
|451.175-460.461
|456.6685-467.577
!456.221
|459.913-471.357
|456.6685-465.954
|466.587-475.872
|471.429
|-
|-
|6
|6
|C
|C
|514.286
|531.452-542.595
|531.452-542.595
!537.662
|532.504-543.647
|532.504-543.647
! colspan="2" |538.776
|534.6175-547.92
|539.128-550.271
|539.228-550.701
|541.41-552.553
|548.002-561.092
!547.465
|551.896-565.628
|548.002-559.145
|559.904-571.047
|565.714
|-
|-
|7
|7
|Q
|Q
|600
|620.0275-633.0275
|620.0275-633.0275
!627.273
|621.253-634.253
|621.253-634.253
! colspan="2" |628.571
|623.7205-639.24
|628.982-641.982
|629.1-642.485
|631.645-644.645
|639.335-654.335
!638.71
|643.879-659.8995
|639.335-652.335
|653.224-666.221
|660
|-
|-
|8
|8
|Q#/Db
|Q#/Db
|685.714
|708.603-723.46
|708.603-723.46
!716.883
|710.005-724.862
|710.005-724.862
! colspan="2" |718.367
|712.823-730.56
|718.837-733.694
|718.971-734
|721.88-736.737
|730.67-748.123
!729.954
|735.861-754.171
|730.67-745.257
|746.539-761.396
|754.286
|-
|-
|9
|9
|D
|D
|771.429
|797.178-813.8925
|797.178-813.8925
!806.4935
|798.756-815.47
|798.756-815.47
! colspan="2" |808.163
|801.926-821.88
|808.692-825.406
|808.842-826.032
|812.115-828.829
|822.003-841.78
!821.198
|827.844848.442
|822.003-838.718
|839.856-856.57
|848.571
|-
|-
|10
|10
|D#/Eb
|D#/Eb
|857.143
|885.754-904.325
|885.754-904.325
!896.103
|887.507-906.078
|887.507-906.078
! colspan="2" |897.959
|891.029-913.2
|898.546-917.118
|898.714-917.835
|902.35-920.921
|913.337-935.153
!912.442
|919.8265-942.7135
|913.337-931.908
|933.173-951.745
|942.857
|-
|-
|11
|11
|E
|E
|942.857
|974.329-994.7575
|974.329-994.7575
!985.714
|976.257-996.686
|976.257-996.686
! colspan="2" |987.755
|980.132-1004.52
|988.401-1008.829
|988.585-1009.619
|992.585-1013.013
|1007.671-1028.6685
!1003.687
|1011.809-1036.985
|1007.671-1025.099
|1026.491-1046.919
|1037.143
|-
|-
|12
|12
|E#/Fb
|E#/Fb
|1028.571
|1062.904-1085.19
|1062.904-1085.19
!1075.325
|1065.008-1087.294
|1065.008-1087.294
! colspan="2" |1077.551
|1069.235-1095.84
|1078.255-1100.541
|1078.4565-1101.023
|1082.82-1105.106
|1096.004-1121.1894
!1094.931
|1103.792-1131.256
|1096.004-1118.29
|1119.808-1142.094
|1131.429
|-
|-
|13
|13
|F
|F
|1114.286
|1151.48-1175.6225
|1151.48-1175.6225
!1164.935
|1153.759-1177.901
|1153.759-1177.901
! colspan="2" |1167.735
|1158.338-1187.16
|1168.11-1192.253
|1168.328-1193.186
|1173.055-1197.198
|1187.338-1215.699
!1186.175
|1195.7745-1225.528
|1187.338-1211.481
|1213.1255-1237.268
|1225.714
|-
|-
|14
|14
|G
|G
|1200
|1240.055-1266.055
|1240.055-1266.055
|1254.5455
|1242.506-1268.506
|1242.506-1268.506
| colspan="2" |1257.143
|1247.441-1278.48
|1257.965-1283.965
|1258.199-1284.969
|1263.29-1289.29
|1278.672-1309.2145
|1277.419
|1287.757-1319.799
|1278.672-1304.672
|1306.443-1332.443
|1320
|}
|}
{| class="wikitable"
{| class="wikitable"
Line 221: Line 274:
! rowspan="2" |Degrees
! rowspan="2" |Degrees
! colspan="2" rowspan="2" |Octatonic
! colspan="2" rowspan="2" |Octatonic
! colspan="5" |Intense Phrygian
! colspan="2" |Intense Phrygian
! colspan="5" |Intense Phrygian-Soft Aeolian
! colspan="2" |Intense Phrygian-Soft Aeolian
! colspan="6" |Soft Aeolian
! colspan="2" |Soft Aeolian
|-
|-
!Minimum
!Min-Med/Min-Max
!Min-Med/Min-Max±13¢
!Med-Max
!Median
!Min-Med/Min-Max
!Med-Max±13¢
!Med-Max
!Maximum
!Min-Med/Min-Max
!Minimum
!Med-Max
!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
|1
|F#/Gb
|F#/Gb
|G#/Ab
|G#/Ab
|94.286
|93.6975-95.555
|93.6975-95.555
|94.737
|93.922-95.779
|93.922-95.779
| colspan="2" |95.238
|94.732-96.589
|94.732-96.589
|95.798
|95.012-96.869
|95.012-96.869
| colspan="2" |96.429
|96.037-97.894
|96.037-97.894
|97.143
|96.397-98.254
|96.397-98.254
|96.572-98.429
|97.959
|-
|-
|2
|2
|G
|G
|A
|A
|188.571
|187.395-191.109
|187.395-191.109
|189.473
|187.844-191.558
|187.844-191.558
| colspan="2" |190.476
|189.463-193.178
|189.463-193.178
|191.597
|190.0235-193.738
|190.0235-193.738
| colspan="2" |192.857
|192.074-195.789
|192.074-195.789
|194.286
|192.794-196.508
|192.794-196.508
|193.1435-196.858
|195.918
|-
|-
|3
|3
|G#/Ab
|G#/Ab
|A#/Bb
|A#/Bb
|282.857
|281.093-286.664
|281.093-286.664
|284.2105
|281.765-287.337
|281.765-287.337
| colspan="2" |285.714
|284.195-289.766
|284.195-289.766
|287.395
|285.035-290.607
|285.035-290.607
| colspan="2" |289.286
|288.112-293.683
|288.112-293.683
|291.429
|289.191-294.7625
|289.191-294.7625
|289.715-295.287
|293.878
|-
|-
|4
|4
|A
|A
|B
|B
|377.143
|374.79-382.219
|374.79-382.219
|378.947
|375.687-383.116
|375.687-383.116
| colspan="2" |380.952
|378.9265-386.219
|378.9265-386.219
|383.193
|380.047-387.476
|380.047-387.476
| colspan="2" |385.714
|384.149-391.577
|384.149-391.577
|388.571
|385.588-393.017
|385.588-393.017
|386.287-393.7155
|391.836
|-
|-
|5
|5
|A#/Bb
|A#/Bb
|B#/Cb
|B#/Cb
|471.429
|468.488-477.773
|468.488-477.773
|473.684
|469.609-478.895
|469.609-478.895
| colspan="2" |476.1905
|473.658-482.944
|473.658-482.944
|478.992
|475.059-484.3445
|475.059-484.3445
| colspan="2" |482.143
|480.186-489.472
|480.186-489.472
|485.714
|481.985-491.271
|481.985-491.271
|482.859-492.144
|489.796
|-
|-
|6
|6
|B
|B
|C
|C
|565.714
|562.185-573.328
|562.185-573.328
|568.421
|563.531-574.674
|563.531-574.674
| colspan="2" |571.429
|568.39-579.533
|568.39-579.533
|574.79
|570.0705-581.213
|570.0705-581.213
| colspan="2" |578.571
|576.223-587.366
|576.223-587.366
|582.857
|578.382-589.525
|578.382-589.525
|579.43-590.573
|587.755
|-
|-
|7
|7
|H
|H
|Q
|Q
|660
|655.883-668.883
|655.883-668.883
|663.158
|657.4525-670.4525
|657.4525-670.4525
| colspan="2" |666.667
|663.121-676.121
|663.121-676.121
|670.588
|665.082-678.082
|665.082-678.082
| colspan="2" |675
|672.2605-685.2605
|672.2605-685.2605
|680
|674.779-687.779
|674.779-687.779
|676.002-689.002
|685.714
|-
|-
|8
|8
|H#/Cb
|H#/Cb
|Q#/Db
|Q#/Db
|754.286
|749.58-764.4375
|749.58-764.4375
|757.894
|751.374-766.231
|751.374-766.231
| colspan="2" |761.905
|757.853-772.71
|757.853-772.71
|766.387
|760.094-774.951
|760.094-774.951
| colspan="2" |771.429
|768.298-783.155
|768.298-783.155
|777.143
|771.176-786.033
|771.176-786.033
|772.574-787.431
|783.6735
|-
|-
|9
|9
|C
|C
|D
|D
|848.571
|843.278-859.992
|843.278-859.992
|853.632
|845.296-862.01
|845.296-862.01
| colspan="2" |857.143
|852.585-869.299
|852.585-869.299
|862.185
|855.105-871.82
|855.105-871.82
| colspan="2" |867.857
|864.335-881.049
|864.335-881.049
|874.286
|867.573-884.2875
|867.573-884.2875
|869.146-885.86
|881.633
|-
|-
|10
|10
|C#/Db
|C#/Db
|D#/Eb
|D#/Eb
|942.857
|936.975-955.5546
|936.975-955.5546
|947.368
|939.218-957.789
|939.218-957.789
| colspan="2" |952.381
|947.316-965.887
|947.316-965.887
|957.983
|950.1175-968.689
|950.1175-968.689
| colspan="2" |964.286
|960.372-978.9435
|960.372-978.9435
|971.429
|963.97-982.542
|963.97-982.542
|965.717-984.289
|979.592
|-
|-
|11
|11
|D
|D
|E
|E
|1037.143
|1030.672-1051.101
|1030.672-1051.101
|1042.105
|1033.101-1053.568
|1033.101-1053.568
| colspan="2" |1047.619
|1042.048-1062.477
|1042.048-1062.477
|1053.7815
|1045.129-1065.558
|1045.129-1065.558
| colspan="2" |1060.714
|1056.409-1076.838
|1056.409-1076.838
|1068.571
|1060.367-1080.796
|1060.367-1080.796
|1062.289-1082.718
|1077.551
|-
|-
|12
|12
|D#/Eb
|D#/Eb
|E#/Fb
|E#/Fb
|1131.429
|1124.3705-1146.656
|1124.3705-1146.656
|1136.842
|1127.061-1149.347
|1127.061-1149.347
| colspan="2" |1142.857
|1136.78-1159.065
|1136.78-1159.065
|1149.58
|1140.141-1162.427
|1140.141-1162.427
| colspan="2" |1157.143
|1152.4465-1174.732
|1152.4465-1174.732
|1165.714
|1156.764-1179.05
|1156.764-1179.05
|1158.861-1181.1465
|1175.51
|-
|-
|13
|13
|E
|E
|F
|F
|1225.714
|1218.068-1242.211
|1218.068-1242.211
|1231.579
|1220.983-1245.126
|1220.983-1245.126
| colspan="2" |1238.095
|1231.511-1255.654
|1231.511-1255.654
|1245.378
|1235.153-1259.295
|1235.153-1259.295
| colspan="2" |1253.571
|1248.484-1272.626
|1248.484-1272.626
|1262.857
|1253.161-1227.304
|1253.161-1227.304
|1255.4325-1279.575
|1273.469
|-
|-
|14
|14
|F
|F
|G
|G
|1320
|1311.767-1337.767
|1311.767-1337.767
|1326.316
|1314.905-1340.905
|1314.905-1340.905
| colspan="2" |1333.333
|1326.243-1352.243
|1326.243-1352.243
|1341.1765
|1330.1645-1356.1645
|1330.1645-1356.1645
| colspan="2" |1350
|1344.521-1370.521
|1344.521-1370.521
|1360
|1349.558-1375.558
|1349.558-1375.558
|1352.004-1378.004
|1371.429
|}
|}
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Degrees
! rowspan="3" |Degrees
! rowspan="2" |Octatonic
! rowspan="3" |Octatonic
! colspan="5" |Aeolian
! colspan="4" |Aeolian
! colspan="6" |Intense Aeolian
! colspan="4" |Intense Aeolian
|-
! colspan="2" |Flattone
! colspan="2" |Meantone
! colspan="2" |Superpyth
! colspan="2" |Ultrapyth
|-
|-
!Minimum
!Min-Med
!Min-Med/Min-Max±13¢
!Med-Max~Min-Max
!Median
!Min-Med/Min-Max
!Med-Max-13c
!Med-Max
!Maximum
!Min-Med
!Minimum
!Min-Max/Med-Max
!9/4±13¢
!Min-Med/Min-Max
!Min-Med/Min-Max±13¢
!Med-Max
!Median
!Med-Max-13c
!Maximum
|-
|-
|1
|1
|F#/Gb
|F#/Gb
|97.959
|97.737-99.5945
|97.737-99.5945
|98.901
| colspan="2" |98.0805-100.2995
|98.216-100.074
|98.574-100.431
| colspan="2" |100
|99.761-101.618
|99.351-101.208
|100.043-101.9
|100.043-101.9
!101.299
|100.712-102.569
|100.712-102.569
|102.857
|101.031-102.888
|-
|-
|2
|2
|G
|G
|195.918
|195.475-199.189
|195.475-199.189
|197.802
| colspan="2" |196.161-200.599
|196.433-200.147
|197.148-200.862
| colspan="2" |200
|199.523-203.237
|198.701-202.416
|200.085-203.8
|200.085-203.8
!202.597
|201.424-205.138
|201.424-205.138
|205.714
|202.061.205.7755
|-
|-
|3
|3
|G#/Ab
|G#/Ab
|293.878
|293.212-298.783
|293.212-298.783
|296.703
| colspan="2" |294.2415-300.8985
|294.649-300.221
|295.721-301.293
| colspan="2" |300
|299.284-304.885
|298.052-303.624
|300.128-305.6995
|300.128-305.6995
!303.896
|302.135-307.707
|302.236-307.707
|303.092-308.663
|308.571
|-
|-
|4
|4
|A
|A
|391.836
|390.949-398.378
|390.949-398.378
|395.604
| colspan="2" |392.322-401.198
|392.866-400.294
|394.295-401.724
| colspan="2" |400
|399.045-406.474
|397.403-404.831
|400.171-407.599
|400.171-407.599
!405.195
|402.848-410.276
|402.848-410.276
|411.429
|404.122-411.551
|-
|-
|5
|5
|A#/Bb
|A#/Bb
|489.796
|488.687-497.972
|488.687-497.972
|494.5055
| colspan="2" |490.4025-501.497
|491.082-500.368
|492.869-502.155
| colspan="2" |500
|498.806-508.092
|496.754-506.039
|500.2135-509.499
|500.2135-509.499
!506.4935
|503.56-512.845
|503.56-512.845
|514.286
|505.153-514.439
|-
|-
|6
|6
|B
|B
|587.755
|586.424-597.567
|586.424-597.567
|593.407
| colspan="2" |588.483-601.797
|589.2985-600.441
|591.443-602.586
| colspan="2" |600
|598.568-609.711
|596.104-607.247
|600.256-611.399
|600.256-611.399
!607.792
|604.2715-615.414
|604.2715-615.414
|617.143
|606.1835-617.326
|-
|-
|7
|7
|H
|H
|685.714
|684.161-697.161
|684.161-697.161
|692.308
| colspan="2" |686.5635-702.096
|687.515-700.515
|690.017-703.017
| colspan="2" |700
|698.329-711.329
|695.455-708.455
|700.299-713.299
|700.299-713.299
!709.091
|704.983-717.983
|704.983-717.983
|720
|707.214-720.214
|-
|-
|8
|8
|H#/Cb
|H#/Cb
|783.6735
|781.899-796.756
|781.899-796.756
|791.209
| colspan="2" |784.644-802.3955
|785.731-800.5885
|788.5905-803.448
| colspan="2" |800
|798.09-812.947
|794.805-809.663
|800.342-815.199
|800.342-815.199
!810.39
|805.695-820.5525
|805.695-820.5525
|822.857
|808.245-823.102
|-
|-
|9
|9
|C
|C
|881.633
|879.636-896.35
|879.636-896.35
|890.11
| colspan="2" |882.724-902.695
|883.948-900.662
|887.164-903.879
| colspan="2" |900
|897.8582-914.566.
|894.156-910.871
|900.384-917.099
|900.384-917.099
!911.688
|906.407-923.1215
|906.407-923.1215
|925.714
|909.275-925.9895
|-
|-
|10
|10
|C#/Db
|C#/Db
|979.592
|977.373-995.945
|977.373-995.945
|989.011
| colspan="2" |980.805-1002.995
|982.164-1000.7436
|985.738-1004.3095
| colspan="2" |1000
|997.613-1016.184
|993.507-1012.079
|1000.427-1018.9985
|1000.427-1018.9985
!1012.987
|1007.119-1025.691
|1007.119-1025.691
|1028.571
|1010.306-1028.877
|-
|-
|11
|11
|D
|D
|1077.551
|1075.111-1095.539
|1075.111-1095.539
|1087.912
| colspan="2" |1078.885-1003.294
|1080.381-1100.809
|1084.312-1104.7405
| colspan="2" |1100
|1097.374-1117.803
|1092.858-1113.286
|1100.47-1120.898
|1100.47-1120.898
!1114.286
|1107.831-1128.26
|1107.831-1128.26
|1131.429
|1111.134-1131.765
|-
|-
|12
|12
|D#/Eb
|D#/Eb
|1175.51
|1172.848-1195.134
|1172.848-1195.134
|1186.813
| colspan="2" |1176.966-1203.594
|1178.597-1200.883
|1182.886-1205.171
| colspan="2" |1200
|1197.135-1219.421
|1192.209-1214.494
|1200.512-1222.798
|1200.512-1222.798
!1215.584
|1208.543-1230.829
|1208.543-1230.829
|1234.286
|1212.367-1234.653
|-
|-
|13
|13
|E
|E
|1273.469
|1270.585-1294.728
|1270.585-1294.728
|1285.714
| colspan="2" |1275.046-1303.893
|1276.813-1300.956
|1281.4956-1305.603
| colspan="2" |1300
|1296.867-1321.04
|1291.559-1315.702
|1300.555-1324.698
|1300.555-1324.698
!1316.883
|1309.255-1333.398
|1309.255-1333.398
|1337.143
|1313.3975-1337.54
|-
|-
|14
|14
|F
|F
|1371.429
|1368.323-1394.324
|1368.322-1394.322
| colspan="2" |1373.127-1404.193
|1384.615
|1380.033-1406.033
|1375.03-1401.03
|1396.658-1422.658
| colspan="2" |1400
|1390.91-1416.91
|1400.598-1426.598
|1400.598-1426.598
|1418.182
|1409.967-1435.967
|1409.967-1435.967
|1440
|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"