User:Moremajorthanmajor/14edIX: Difference between revisions

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Line 5: Line 5:
! rowspan="3" |Degrees
! rowspan="3" |Degrees
! rowspan="3" |Octatonic
! rowspan="3" |Octatonic
! colspan="5" |Soft Phrygian
! colspan="3" |Soft Phrygian
! colspan="11" |Phrygian
! colspan="6" |Phrygian
|-
|-
! rowspan="2" |Minimum
! rowspan="2" |Minimum
! rowspan="2" |Min-Med±13¢
! rowspan="2" |Median
! rowspan="2" |Median
! rowspan="2" |Min-Max/Med-Max±13¢
! rowspan="2" |Maximum
! rowspan="2" |Maximum
! colspan="5" |Thirdtone
! colspan="3" |Thirdtone
! colspan="6" |Semitone
! colspan="3" |Semitone
|-
|-
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!15/7±13¢
!Maximum
!Maximum
|-
|-
Line 31: Line 24:
|G#/Ab
|G#/Ab
|''85.714''
|''85.714''
|88.575-90.4325
|89.61
|89.61
|88.751-90.608
| colspan="2" |89.796
| colspan="2" |89.796
|89.103-91.32
|90.476-90.612
|90.476-90.612
|89.871-91.7835
| colspan="2" |91.429-91.837
| colspan="2" |91.429-91.837
|91.334-93.515
|92.571-''92.857''
|92.571-''92.857''
|91.983-94.271
|93.317-95.1745
|94.286
|94.286
|-
|-
Line 48: Line 34:
|A
|A
|''171.429''
|''171.429''
|177.151-180.865
|179.221
|179.221
|177.501-181.216
| colspan="2" |179.592
| colspan="2" |179.592
|178.206-182.64
|180.952-181.2245
|180.952-181.2245
|179.743-183.567
| colspan="2" |182.857-183.6735
| colspan="2" |182.857-183.6735
|182.667-187.031
|185.143-''185.714''
|185.143-''185.714''
|183.965-188.543
|186.635-190.349
|188.571
|188.571
|-
|-
Line 65: Line 44:
|A#/Bb
|A#/Bb
|''257.143''
|''257.143''
|265.756-271.2975
|268.831
|268.831
|266.252-271.823
| colspan="2" |269.388
| colspan="2" |269.388
|267.309-273.96
|271.429-271.837
|271.429-271.837
|269.614-275.351
| colspan="2" |274.286-275.51
| colspan="2" |274.286-275.51
|274.001-280.545
|277.714-''278.571''
|277.714-''278.571''
|275.948-282.814
|279.952-285.5235
|282.857
|282.857
|-
|-
Line 82: Line 54:
|B
|B
|''342.857''
|''342.857''
|354.301-361.73
|358.442
|358.442
|355.003-362.431
| colspan="2" |359.184
| colspan="2" |359.184
|356.412-365.28
|361.905-362.449
|361.905-362.449
|359.4855-367.134
| colspan="2" |365.714-367.347
| colspan="2" |365.714-367.347
|365.335-374.613
|370.286-''371.429''
|370.286-''371.429''
|367.931-377.085
|373.269-380.698
|377.143
|377.143
|-
|-
Line 99: Line 64:
|B#/Cb
|B#/Cb
|''428.571''
|''428.571''
|442.877-452.1625
|448.052
|448.052
|443.753-453.039
| colspan="2" |448.98
| colspan="2" |448.98
|445.515-456.6
|452.381-453.061
|452.381-453.061
|449.357-458.918
| colspan="2" |457.143-459.184
| colspan="2" |457.143-459.184
|456.6685-467.577
|462.857-''464.286''
|462.857-''464.286''
|459.913-471.357
|466.587-475.872
|471.429
|471.429
|-
|-
Line 116: Line 74:
|C
|C
|''514.286''
|''514.286''
|531.452-542.595
|537.662
|537.662
|532.504-543.647
| colspan="2" |538.776
| colspan="2" |538.776
|534.6175-547.92
|542.857-543.6735
|542.857-543.6735
|539.228-550.701
| colspan="2" |548.571-551.02
| colspan="2" |548.571-551.02
|548.002-561.092
|555.429-''557.143''
|555.429-''557.143''
|551.896-565.628
|559.904-571.047
|565.714
|565.714
|-
|-
Line 133: Line 84:
|Q
|Q
|''600''
|''600''
|620.0275-633.0275
|627.273
|627.273
|621.253-634.253
| colspan="2" |628.571
| colspan="2" |628.571
|623.7205-639.24
|633.333-634.286
|633.333-634.286
|629.1-642.485
| colspan="2" |640-642.857
| colspan="2" |640-642.857
|639.335-654.335
|648-''650''
|648-''650''
|643.879-659.8995
|653.224-666.221
|660
|660
|-
|-
Line 150: Line 94:
|Q#/Db
|Q#/Db
|''685.714''
|''685.714''
|708.603-723.46
|716.883
|716.883
|710.005-724.862
| colspan="2" |718.367
| colspan="2" |718.367
|712.823-730.56
|723.8095-724.898
|723.8095-724.898
|718.971-734
| colspan="2" |731.429-734.694
| colspan="2" |731.429-734.694
|730.67-748.123
|740.571-''742.857''
|740.571-''742.857''
|735.861-754.171
|746.539-761.396
|754.286
|754.286
|-
|-
Line 167: Line 104:
|D
|D
|''771.429''
|''771.429''
|797.178-813.8925
|806.4935
|806.4935
|798.756-815.47
| colspan="2" |808.163
| colspan="2" |808.163
|801.926-821.88
|814.286-815.510
|814.286-815.510
|808.842-826.032
| colspan="2" |822.857-826.531
| colspan="2" |822.857-826.531
|822.003-841.78
|833.143-''835.714''
|833.143-''835.714''
|827.844848.442
|839.856-856.57
|848.571
|848.571
|-
|-
Line 184: Line 114:
|D#/Eb
|D#/Eb
|''857.143''
|''857.143''
|885.754-904.325
|896.103
|896.103
|887.507-906.078
| colspan="2" |897.959
| colspan="2" |897.959
|891.029-913.2
|904.762-906.1225
|904.762-906.1225
|898.714-917.835
| colspan="2" |914.286-918.367
| colspan="2" |914.286-918.367
|913.337-935.153
|925.714-''928.571''
|925.714-''928.571''
|919.8265-942.7135
|933.173-951.745
|942.857
|942.857
|-
|-
Line 201: Line 124:
|E
|E
|''942.857''
|''942.857''
|974.329-994.7575
|985.714
|985.714
|976.257-996.686
| colspan="2" |987.755
| colspan="2" |987.755
|980.132-1004.52
|995.238-996.735
|995.238-996.735
|988.585-1009.619
| colspan="2" |1005.714-1010.204
| colspan="2" |1005.714-1010.204
|1007.671-1028.6685
|1018.286-''1021.429''
|1018.286-''1021.429''
|1011.809-1036.985
|1026.491-1046.919
|1037.143
|1037.143
|-
|-
Line 218: Line 134:
|E#/Fb
|E#/Fb
|''1028.571''
|''1028.571''
|1062.904-1085.19
|1075.325
|1075.325
|1065.008-1087.294
| colspan="2" |1077.551
| colspan="2" |1077.551
|1069.235-1095.84
|1085.714-1087.347
|1085.714-1087.347
|1078.4565-1101.023
| colspan="2" |1097.143-1102.041
| colspan="2" |1097.143-1102.041
|1096.004-1121.1894
|1110.857-''1114.286''
|1110.857-''1114.286''
|1103.792-1131.256
|1119.808-1142.094
|1131.429
|1131.429
|-
|-
Line 235: Line 144:
|F
|F
|''1114.286''
|''1114.286''
|1151.48-1175.6225
|1164.935
|1164.935
|1153.759-1177.901
| colspan="2" |1167.735
| colspan="2" |1167.735
|1158.338-1187.16
|1176.1905-1177.959
|1176.1905-1177.959
|1168.328-1193.186
| colspan="2" |1188.571-1193.878
| colspan="2" |1188.571-1193.878
|1187.338-1215.699
|1203.429-''1207.143''
|1203.429-''1207.143''
|1195.7745-1225.528
|1213.1255-1237.268
|1225.714
|1225.714
|-
|-
Line 252: Line 154:
|G
|G
|''1200''
|''1200''
|1240.055-1266.055
|1254.5455
|1254.5455
|1242.506-1268.506
| colspan="2" |1257.143
| colspan="2" |1257.143
|1247.441-1278.48
|1266.667-1268.571
|1266.667-1268.571
|1258.199-1284.969
| colspan="2" |1280-1285.714
| colspan="2" |1280-1285.714
|1278.672-1309.2145
|1296-''1300''
|1296-''1300''
|1287.757-1319.799
|1306.443-1332.443
|1320
|1320
|}
|}
Line 544: Line 439:
|}
|}
{| class="wikitable"
{| class="wikitable"
! rowspan="2" |Degrees
! rowspan="3" |Degrees
! rowspan="2" |Octatonic
! rowspan="3" |Octatonic
! colspan="5" |Aeolian
! colspan="6" |Aeolian
! colspan="6" |Intense Aeolian
! colspan="6" |Intense Aeolian
|-
|-
! colspan="3" |Flattone
! colspan="3" |Meantone
! colspan="3" |Superpyth
! colspan="3" |Ultrapyth
|-
!Minimum
!Median
!Maximum
!Minimum
!Median
!Maximum
!Minimum
!Minimum
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!9/4±13¢
!Min-Med/Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!Maximum
!Maximum
|-
|-
Line 564: Line 465:
|F#/Gb
|F#/Gb
|97.959
|97.959
|97.737-99.5945
|98.901
|98.901
|98.216-100.074
| colspan="2" |99.248
|99.429
| colspan="2" |''100''
| colspan="2" |''100''
|99.351-101.208
|100.84
|100.043-101.9
| colspan="2" |101.299
|101.299
|101.786
|100.712-102.569
|102.857
|102.857
|-
|-
Line 577: Line 477:
|G
|G
|195.918
|195.918
|195.475-199.189
|197.802
|197.802
|196.433-200.147
| colspan="2" |198.496
|198.857
| colspan="2" |''200''
| colspan="2" |''200''
|198.701-202.416
|201.681
|200.085-203.8
| colspan="2" |202.597
|202.597
|203.571
|201.424-205.138
|205.714
|205.714
|-
|-
Line 590: Line 489:
|G#/Ab
|G#/Ab
|293.878
|293.878
|293.212-298.783
|296.703
|296.703
|294.649-300.221
| colspan="2" |297.744
|297.286
| colspan="2" |''300''
| colspan="2" |''300''
|298.052-303.624
|302.521
|300.128-305.6995
| colspan="2" |303.896
|303.896
|305.357
|302.236-307.707
|308.571
|308.571
|-
|-
Line 603: Line 501:
|A
|A
|391.836
|391.836
|390.949-398.378
|395.604
|395.604
|392.866-400.294
| colspan="2" |396.9925
|397.714
| colspan="2" |''400''
| colspan="2" |''400''
|397.403-404.831
|403.361
|400.171-407.599
| colspan="2" |405.195
|405.195
|407.143
|402.848-410.276
|411.429
|411.429
|-
|-
Line 616: Line 513:
|A#/Bb
|A#/Bb
|489.796
|489.796
|488.687-497.972
|494.5055
|494.5055
|491.082-500.368
| colspan="2" |496.241
|496.143
| colspan="2" |''500''
| colspan="2" |''500''
|496.754-506.039
|504.201
|500.2135-509.499
| colspan="2" |506.4935
|506.4935
|508.929
|503.56-512.845
|514.286
|514.286
|-
|-
Line 629: Line 525:
|B
|B
|587.755
|587.755
|586.424-597.567
|593.407
|593.407
|589.2985-600.441
| colspan="2" |595.4489
|596.571
| colspan="2" |''600''
| colspan="2" |''600''
|596.104-607.247
|605.042
|600.256-611.399
| colspan="2" |607.792
|607.792
|610.714
|604.2715-615.414
|617.143
|617.143
|-
|-
Line 642: Line 537:
|H
|H
|685.714
|685.714
|684.161-697.161
|692.308
|692.308
|687.515-700.515
| colspan="2" |694.737
|696
| colspan="2" |''700''
| colspan="2" |''700''
|695.455-708.455
|705.882
|700.299-713.299
| colspan="2" |709.091
|709.091
|712.5
|704.983-717.983
|720
|720
|-
|-
Line 655: Line 549:
|H#/Cb
|H#/Cb
|783.6735
|783.6735
|781.899-796.756
|791.209
|791.209
|785.731-800.5885
| colspan="2" |793.985
|795.429
| colspan="2" |''800''
| colspan="2" |''800''
|794.805-809.663
|806.723
|800.342-815.199
| colspan="2" |810.39
|810.39
|814.286
|805.695-820.5525
|822.857
|822.857
|-
|-
Line 668: Line 561:
|C
|C
|881.633
|881.633
|879.636-896.35
|890.11
|890.11
|883.948-900.662
| colspan="2" |893.233
|894.857
| colspan="2" |''900''
| colspan="2" |''900''
|894.156-910.871
|907.563
|900.384-917.099
| colspan="2" |911.688
|911.688
|916.071
|906.407-923.1215
|925.714
|925.714
|-
|-
Line 681: Line 573:
|C#/Db
|C#/Db
|979.592
|979.592
|977.373-995.945
|989.011
|989.011
|982.164-1000.7436
| colspan="2" |992.481
|993.286
| colspan="2" |''1000''
| colspan="2" |''1000''
|993.507-1012.079
|1008.403
|1000.427-1018.9985
| colspan="2" |1012.987
|1012.987
|1017.857
|1007.119-1025.691
|1028.571
|1028.571
|-
|-
Line 694: Line 585:
|D
|D
|1077.551
|1077.551
|1075.111-1095.539
|1087.912
|1087.912
|1080.381-1100.809
| colspan="2" |1091.729
|1093.714
| colspan="2" |''1100''
| colspan="2" |''1100''
|1092.858-1113.286
|1109.244
|1100.47-1120.898
| colspan="2" |1114.286
|1114.286
|1119.643
|1107.831-1128.26
|1131.429
|1131.429
|-
|-
Line 707: Line 597:
|D#/Eb
|D#/Eb
|1175.51
|1175.51
|1172.848-1195.134
|1186.813
|1186.813
|1178.597-1200.883
| colspan="2" |1190.977
|1192.143
| colspan="2" |''1200''
| colspan="2" |''1200''
|1192.209-1214.494
|1210.084
|1200.512-1222.798
| colspan="2" |1215.584
|1215.584
|1221.429
|1208.543-1230.829
|1234.286
|1234.286
|-
|-
Line 720: Line 609:
|E
|E
|1273.469
|1273.469
|1270.585-1294.728
|1285.714
|1285.714
|1276.813-1300.956
| colspan="2" |1290.226
|1292.571
| colspan="2" |''1300''
| colspan="2" |''1300''
|1291.559-1315.702
|1310.924
|1300.555-1324.698
| colspan="2" |1316.883
|1316.883
|1323.214
|1309.255-1333.398
|1337.143
|1337.143
|-
|-
Line 733: Line 621:
|F
|F
|1371.429
|1371.429
|1368.322-1394.322
|1384.615
|1384.615
|1375.03-1401.03
| colspan="2" |1389.474
|1392
| colspan="2" |''1400''
| colspan="2" |''1400''
|1390.91-1416.91
|1411.765
| colspan="2" |1418.182
|1425
|1440
|}
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
! colspan="2" rowspan="2" |Octatonic
! colspan="2" |Intense Phrygian
! colspan="2" |Intense Phrygian-Soft Aeolian
! colspan="2" |Soft Aeolian
|-
!Min-Med/Min-Max
!Med-Max
!Min-Med/Min-Max
!Med-Max
!Min-Med/Min-Max
!Med-Max
|-
|1
|F#/Gb
|G#/Ab
|93.6975-95.555
|93.922-95.779
|94.732-96.589
|95.012-96.869
|96.037-97.894
|96.397-98.254
|-
|2
|G
|A
|187.395-191.109
|187.844-191.558
|189.463-193.178
|190.0235-193.738
|192.074-195.789
|192.794-196.508
|-
|3
|G#/Ab
|A#/Bb
|281.093-286.664
|281.765-287.337
|284.195-289.766
|285.035-290.607
|288.112-293.683
|289.191-294.7625
|-
|4
|A
|B
|374.79-382.219
|375.687-383.116
|378.9265-386.219
|380.047-387.476
|384.149-391.577
|385.588-393.017
|-
|5
|A#/Bb
|B#/Cb
|468.488-477.773
|469.609-478.895
|473.658-482.944
|475.059-484.3445
|480.186-489.472
|481.985-491.271
|-
|6
|B
|C
|562.185-573.328
|563.531-574.674
|568.39-579.533
|570.0705-581.213
|576.223-587.366
|578.382-589.525
|-
|7
|H
|Q
|655.883-668.883
|657.4525-670.4525
|663.121-676.121
|665.082-678.082
|672.2605-685.2605
|674.779-687.779
|-
|8
|H#/Cb
|Q#/Db
|749.58-764.4375
|751.374-766.231
|757.853-772.71
|760.094-774.951
|768.298-783.155
|771.176-786.033
|-
|9
|C
|D
|843.278-859.992
|845.296-862.01
|852.585-869.299
|855.105-871.82
|864.335-881.049
|867.573-884.2875
|-
|10
|C#/Db
|D#/Eb
|936.975-955.5546
|939.218-957.789
|947.316-965.887
|950.1175-968.689
|960.372-978.9435
|963.97-982.542
|-
|11
|D
|E
|1030.672-1051.101
|1033.101-1053.568
|1042.048-1062.477
|1045.129-1065.558
|1056.409-1076.838
|1060.367-1080.796
|-
|12
|D#/Eb
|E#/Fb
|1124.3705-1146.656
|1127.061-1149.347
|1136.78-1159.065
|1140.141-1162.427
|1152.4465-1174.732
|1156.764-1179.05
|-
|13
|E
|F
|1218.068-1242.211
|1220.983-1245.126
|1231.511-1255.654
|1235.153-1259.295
|1248.484-1272.626
|1253.161-1227.304
|-
|14
|F
|G
|1311.767-1337.767
|1314.905-1340.905
|1326.243-1352.243
|1330.1645-1356.1645
|1344.521-1370.521
|1349.558-1375.558
|}
{| 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
|-
!Min-Med
!Med-Max~Min-Max
!Min-Med/Min-Max
!Med-Max
!Min-Med
!Min-Max/Med-Max
!Min-Med/Min-Max
!Med-Max
|-
|1
|F#/Gb
|97.737-99.5945
| colspan="2" |98.0805-100.2995
|98.574-100.431
|99.761-101.618
|100.043-101.9
|100.712-102.569
|101.031-102.888
|-
|2
|G
|195.475-199.189
| colspan="2" |196.161-200.599
|197.148-200.862
|199.523-203.237
|200.085-203.8
|201.424-205.138
|202.061.205.7755
|-
|3
|G#/Ab
|293.212-298.783
| colspan="2" |294.2415-300.8985
|295.721-301.293
|299.284-304.885
|300.128-305.6995
|302.135-307.707
|303.092-308.663
|-
|4
|A
|390.949-398.378
| colspan="2" |392.322-401.198
|394.295-401.724
|399.045-406.474
|400.171-407.599
|402.848-410.276
|404.122-411.551
|-
|5
|A#/Bb
|488.687-497.972
| colspan="2" |490.4025-501.497
|492.869-502.155
|498.806-508.092
|500.2135-509.499
|503.56-512.845
|505.153-514.439
|-
|6
|B
|586.424-597.567
| colspan="2" |588.483-601.797
|591.443-602.586
|598.568-609.711
|600.256-611.399
|604.2715-615.414
|606.1835-617.326
|-
|7
|H
|684.161-697.161
| colspan="2" |686.5635-702.096
|690.017-703.017
|698.329-711.329
|700.299-713.299
|704.983-717.983
|707.214-720.214
|-
|8
|H#/Cb
|781.899-796.756
| colspan="2" |784.644-802.3955
|788.5905-803.448
|798.09-812.947
|800.342-815.199
|805.695-820.5525
|808.245-823.102
|-
|9
|C
|879.636-896.35
| colspan="2" |882.724-902.695
|887.164-903.879
|897.8582-914.566.
|900.384-917.099
|906.407-923.1215
|909.275-925.9895
|-
|10
|C#/Db
|977.373-995.945
| colspan="2" |980.805-1002.995
|985.738-1004.3095
|997.613-1016.184
|1000.427-1018.9985
|1007.119-1025.691
|1010.306-1028.877
|-
|11
|D
|1075.111-1095.539
| colspan="2" |1078.885-1003.294
|1084.312-1104.7405
|1097.374-1117.803
|1100.47-1120.898
|1107.831-1128.26
|1111.134-1131.765
|-
|12
|D#/Eb
|1172.848-1195.134
| colspan="2" |1176.966-1203.594
|1182.886-1205.171
|1197.135-1219.421
|1200.512-1222.798
|1208.543-1230.829
|1212.367-1234.653
|-
|13
|E
|1270.585-1294.728
| colspan="2" |1275.046-1303.893
|1281.4956-1305.603
|1296.867-1321.04
|1300.555-1324.698
|1309.255-1333.398
|1313.3975-1337.54
|-
|14
|F
|1368.323-1394.324
| colspan="2" |1360.127-1404.193
|1380.033-1406.033
|1396.658-1422.658
|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:14-tone]]

Revision as of 23:44, 17 February 2019

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.

Intervals

Degrees Octatonic Soft Phrygian Phrygian
Minimum Median Maximum Thirdtone Semitone
Minimum Median Maximum Minimum Median Maximum
1 G#/Ab 85.714 89.61 89.796 90.476-90.612 91.429-91.837 92.571-92.857 94.286
2 A 171.429 179.221 179.592 180.952-181.2245 182.857-183.6735 185.143-185.714 188.571
3 A#/Bb 257.143 268.831 269.388 271.429-271.837 274.286-275.51 277.714-278.571 282.857
4 B 342.857 358.442 359.184 361.905-362.449 365.714-367.347 370.286-371.429 377.143
5 B#/Cb 428.571 448.052 448.98 452.381-453.061 457.143-459.184 462.857-464.286 471.429
6 C 514.286 537.662 538.776 542.857-543.6735 548.571-551.02 555.429-557.143 565.714
7 Q 600 627.273 628.571 633.333-634.286 640-642.857 648-650 660
8 Q#/Db 685.714 716.883 718.367 723.8095-724.898 731.429-734.694 740.571-742.857 754.286
9 D 771.429 806.4935 808.163 814.286-815.510 822.857-826.531 833.143-835.714 848.571
10 D#/Eb 857.143 896.103 897.959 904.762-906.1225 914.286-918.367 925.714-928.571 942.857
11 E 942.857 985.714 987.755 995.238-996.735 1005.714-1010.204 1018.286-1021.429 1037.143
12 E#/Fb 1028.571 1075.325 1077.551 1085.714-1087.347 1097.143-1102.041 1110.857-1114.286 1131.429
13 F 1114.286 1164.935 1167.735 1176.1905-1177.959 1188.571-1193.878 1203.429-1207.143 1225.714
14 G 1200 1254.5455 1257.143 1266.667-1268.571 1280-1285.714 1296-1300 1320
Degrees Octatonic Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum Min-Med/Min-Max±13¢ 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 F#/Gb G#/Ab 94.286 93.6975-95.555 94.737 93.922-95.779 95.238 94.732-96.589 95.798 95.012-96.869 96.429 96.037-97.894 97.143 96.397-98.254 96.572-98.429 97.959
2 G A 188.571 187.395-191.109 189.473 187.844-191.558 190.476 189.463-193.178 191.597 190.0235-193.738 192.857 192.074-195.789 194.286 192.794-196.508 193.1435-196.858 195.918
3 G#/Ab A#/Bb 282.857 281.093-286.664 284.2105 281.765-287.337 285.714 284.195-289.766 287.395 285.035-290.607 289.286 288.112-293.683 291.429 289.191-294.7625 289.715-295.287 293.878
4 A B 377.143 374.79-382.219 378.947 375.687-383.116 380.952 378.9265-386.219 383.193 380.047-387.476 385.714 384.149-391.577 388.571 385.588-393.017 386.287-393.7155 391.836
5 A#/Bb B#/Cb 471.429 468.488-477.773 473.684 469.609-478.895 476.1905 473.658-482.944 478.992 475.059-484.3445 482.143 480.186-489.472 485.714 481.985-491.271 482.859-492.144 489.796
6 B C 565.714 562.185-573.328 568.421 563.531-574.674 571.429 568.39-579.533 574.79 570.0705-581.213 578.571 576.223-587.366 582.857 578.382-589.525 579.43-590.573 587.755
7 H Q 660 655.883-668.883 663.158 657.4525-670.4525 666.667 663.121-676.121 670.588 665.082-678.082 675 672.2605-685.2605 680 674.779-687.779 676.002-689.002 685.714
8 H#/Cb Q#/Db 754.286 749.58-764.4375 757.894 751.374-766.231 761.905 757.853-772.71 766.387 760.094-774.951 771.429 768.298-783.155 777.143 771.176-786.033 772.574-787.431 783.6735
9 C D 848.571 843.278-859.992 853.632 845.296-862.01 857.143 852.585-869.299 862.185 855.105-871.82 867.857 864.335-881.049 874.286 867.573-884.2875 869.146-885.86 881.633
10 C#/Db D#/Eb 942.857 936.975-955.5546 947.368 939.218-957.789 952.381 947.316-965.887 957.983 950.1175-968.689 964.286 960.372-978.9435 971.429 963.97-982.542 965.717-984.289 979.592
11 D E 1037.143 1030.672-1051.101 1042.105 1033.101-1053.568 1047.619 1042.048-1062.477 1053.7815 1045.129-1065.558 1060.714 1056.409-1076.838 1068.571 1060.367-1080.796 1062.289-1082.718 1077.551
12 D#/Eb E#/Fb 1131.429 1124.3705-1146.656 1136.842 1127.061-1149.347 1142.857 1136.78-1159.065 1149.58 1140.141-1162.427 1157.143 1152.4465-1174.732 1165.714 1156.764-1179.05 1158.861-1181.1465 1175.51
13 E F 1225.714 1218.068-1242.211 1231.579 1220.983-1245.126 1238.095 1231.511-1255.654 1245.378 1235.153-1259.295 1253.571 1248.484-1272.626 1262.857 1253.161-1227.304 1255.4325-1279.575 1273.469
14 F G 1320 1311.767-1337.767 1326.316 1314.905-1340.905 1333.333 1326.243-1352.243 1341.1765 1330.1645-1356.1645 1350 1344.521-1370.521 1360 1349.558-1375.558 1352.004-1378.004 1371.429
Degrees Octatonic Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Minimum Median Maximum Minimum Median Maximum Minimum Median Maximum Minimum Median Maximum
1 F#/Gb 97.959 98.901 99.248 99.429 100 100.84 101.299 101.786 102.857
2 G 195.918 197.802 198.496 198.857 200 201.681 202.597 203.571 205.714
3 G#/Ab 293.878 296.703 297.744 297.286 300 302.521 303.896 305.357 308.571
4 A 391.836 395.604 396.9925 397.714 400 403.361 405.195 407.143 411.429
5 A#/Bb 489.796 494.5055 496.241 496.143 500 504.201 506.4935 508.929 514.286
6 B 587.755 593.407 595.4489 596.571 600 605.042 607.792 610.714 617.143
7 H 685.714 692.308 694.737 696 700 705.882 709.091 712.5 720
8 H#/Cb 783.6735 791.209 793.985 795.429 800 806.723 810.39 814.286 822.857
9 C 881.633 890.11 893.233 894.857 900 907.563 911.688 916.071 925.714
10 C#/Db 979.592 989.011 992.481 993.286 1000 1008.403 1012.987 1017.857 1028.571
11 D 1077.551 1087.912 1091.729 1093.714 1100 1109.244 1114.286 1119.643 1131.429
12 D#/Eb 1175.51 1186.813 1190.977 1192.143 1200 1210.084 1215.584 1221.429 1234.286
13 E 1273.469 1285.714 1290.226 1292.571 1300 1310.924 1316.883 1323.214 1337.143
14 F 1371.429 1384.615 1389.474 1392 1400 1411.765 1418.182 1425 1440

Golden/Pyrite Tunings±13¢

Degrees Octatonic Soft Phrygian Phrygian
Min-Med Min-Max/Med-Max Thirdtone 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
Degrees Octatonic Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Min-Med/Min-Max Med-Max Min-Med/Min-Max Med-Max Min-Med/Min-Max Med-Max
1 F#/Gb G#/Ab 93.6975-95.555 93.922-95.779 94.732-96.589 95.012-96.869 96.037-97.894 96.397-98.254
2 G A 187.395-191.109 187.844-191.558 189.463-193.178 190.0235-193.738 192.074-195.789 192.794-196.508
3 G#/Ab A#/Bb 281.093-286.664 281.765-287.337 284.195-289.766 285.035-290.607 288.112-293.683 289.191-294.7625
4 A B 374.79-382.219 375.687-383.116 378.9265-386.219 380.047-387.476 384.149-391.577 385.588-393.017
5 A#/Bb B#/Cb 468.488-477.773 469.609-478.895 473.658-482.944 475.059-484.3445 480.186-489.472 481.985-491.271
6 B C 562.185-573.328 563.531-574.674 568.39-579.533 570.0705-581.213 576.223-587.366 578.382-589.525
7 H Q 655.883-668.883 657.4525-670.4525 663.121-676.121 665.082-678.082 672.2605-685.2605 674.779-687.779
8 H#/Cb Q#/Db 749.58-764.4375 751.374-766.231 757.853-772.71 760.094-774.951 768.298-783.155 771.176-786.033
9 C D 843.278-859.992 845.296-862.01 852.585-869.299 855.105-871.82 864.335-881.049 867.573-884.2875
10 C#/Db D#/Eb 936.975-955.5546 939.218-957.789 947.316-965.887 950.1175-968.689 960.372-978.9435 963.97-982.542
11 D E 1030.672-1051.101 1033.101-1053.568 1042.048-1062.477 1045.129-1065.558 1056.409-1076.838 1060.367-1080.796
12 D#/Eb E#/Fb 1124.3705-1146.656 1127.061-1149.347 1136.78-1159.065 1140.141-1162.427 1152.4465-1174.732 1156.764-1179.05
13 E F 1218.068-1242.211 1220.983-1245.126 1231.511-1255.654 1235.153-1259.295 1248.484-1272.626 1253.161-1227.304
14 F G 1311.767-1337.767 1314.905-1340.905 1326.243-1352.243 1330.1645-1356.1645 1344.521-1370.521 1349.558-1375.558
Degrees Octatonic Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Min-Med Med-Max~Min-Max Min-Med/Min-Max Med-Max Min-Med Min-Max/Med-Max Min-Med/Min-Max Med-Max
1 F#/Gb 97.737-99.5945 98.0805-100.2995 98.574-100.431 99.761-101.618 100.043-101.9 100.712-102.569 101.031-102.888
2 G 195.475-199.189 196.161-200.599 197.148-200.862 199.523-203.237 200.085-203.8 201.424-205.138 202.061.205.7755
3 G#/Ab 293.212-298.783 294.2415-300.8985 295.721-301.293 299.284-304.885 300.128-305.6995 302.135-307.707 303.092-308.663
4 A 390.949-398.378 392.322-401.198 394.295-401.724 399.045-406.474 400.171-407.599 402.848-410.276 404.122-411.551
5 A#/Bb 488.687-497.972 490.4025-501.497 492.869-502.155 498.806-508.092 500.2135-509.499 503.56-512.845 505.153-514.439
6 B 586.424-597.567 588.483-601.797 591.443-602.586 598.568-609.711 600.256-611.399 604.2715-615.414 606.1835-617.326
7 H 684.161-697.161 686.5635-702.096 690.017-703.017 698.329-711.329 700.299-713.299 704.983-717.983 707.214-720.214
8 H#/Cb 781.899-796.756 784.644-802.3955 788.5905-803.448 798.09-812.947 800.342-815.199 805.695-820.5525 808.245-823.102
9 C 879.636-896.35 882.724-902.695 887.164-903.879 897.8582-914.566. 900.384-917.099 906.407-923.1215 909.275-925.9895
10 C#/Db 977.373-995.945 980.805-1002.995 985.738-1004.3095 997.613-1016.184 1000.427-1018.9985 1007.119-1025.691 1010.306-1028.877
11 D 1075.111-1095.539 1078.885-1003.294 1084.312-1104.7405 1097.374-1117.803 1100.47-1120.898 1107.831-1128.26 1111.134-1131.765
12 D#/Eb 1172.848-1195.134 1176.966-1203.594 1182.886-1205.171 1197.135-1219.421 1200.512-1222.798 1208.543-1230.829 1212.367-1234.653
13 E 1270.585-1294.728 1275.046-1303.893 1281.4956-1305.603 1296.867-1321.04 1300.555-1324.698 1309.255-1333.398 1313.3975-1337.54
14 F 1368.323-1394.324 1360.127-1404.193 1380.033-1406.033 1396.658-1422.658 1400.598-1426.598 1409.967-1435.967 1414.428-1440.428
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