User:Moremajorthanmajor/14edIX: Difference between revisions

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{| class="wikitable"
{| class="wikitable"
|-
|-
! rowspan="2" |Degrees
! rowspan="3" |Degrees
! rowspan="2" |Octatonic
! rowspan="3" |Octatonic
! colspan="5" |Soft Phrygian
! colspan="5" |Soft Phrygian
! colspan="7" |Phrygian
! colspan="11" |Phrygian
|-
! rowspan="2" |Minimum
! rowspan="2" |Min-Med±13¢
! rowspan="2" |Median
! rowspan="2" |Min-Max/Med-Max±13¢
! rowspan="2" |Maximum
! colspan="5" |Thirdtone
! colspan="6" |Semitone
|-
|-
!Minimum
!Minimum
!Min-Med±13¢
!Min-Med/Min-Max±13¢
!Median
!Median
!Min-Max/Med-Max±13¢
!Med-Max±13¢
!Maximum
!Maximum
!Minimum
!Minimum
!Min-Med±13¢
!Min-Med/Min-Max±13¢
!Min-Max±13¢
!Median
!Median
!Med-Max±13¢
!Med-Max±13¢
Line 28: Line 35:
|88.751-90.608
|88.751-90.608
! colspan="2" |89.796
! colspan="2" |89.796
|89.855-91.712
|89.103-91.32
|90.235-92.092
|90.476-90.612
!91.244
!89.871-91.7835
| colspan="2" |91.429-91.837
|91.334-93.515
!92.571-92.857
|91.234-93.191
|91.234-93.191
|93.317-95.1745
|93.317-95.1745
Line 42: Line 52:
|177.501-181.216
|177.501-181.216
! colspan="2" |179.592
! colspan="2" |179.592
|179.709-183.4235
|178.206-182.64
|180.47-184.184
|180.952-181.2245
!182.4885
!179.743-183.567
| colspan="2" |182.857-183.6735
|182.667-187.031
!185.143-185.714
|182.667-186.382
|182.667-186.382
|186.635-190.349
|186.635-190.349
Line 56: Line 69:
|266.252-271.823
|266.252-271.823
! colspan="2" |269.388
! colspan="2" |269.388
|269.564-275.135
|267.309-273.96
|270.705-276.276
|271.429-271.837
!273.733
!269.614-275.351
| colspan="2" |274.286-275.51
|274.001-280.545
!277.714-278.571
|274.001-279.5725
|274.001-279.5725
|279.952-285.5235
|279.952-285.5235
Line 70: Line 86:
|355.003-362.431
|355.003-362.431
! colspan="2" |359.184
! colspan="2" |359.184
|359.4185-366.847
|356.412-365.28
|360.94-368.3685
|361.905-362.449
!364.977
!359.4855-367.134
| colspan="2" |365.714-367.347
|365.335-374.613
!370.286-371.429
|365.335-372.763
|365.335-372.763
|373.269-380.698
|373.269-380.698
Line 84: Line 103:
|443.753-453.039
|443.753-453.039
! colspan="2" |448.98
! colspan="2" |448.98
|449.273-458.559
|445.515-456.6
|451.175-460.461
|452.381-453.061
!456.221
!449.357-458.918
| colspan="2" |457.143-459.184
|456.6685-467.577
!462.857-464.286
|456.6685-465.954
|456.6685-465.954
|466.587-475.872
|466.587-475.872
Line 98: Line 120:
|532.504-543.647
|532.504-543.647
! colspan="2" |538.776
! colspan="2" |538.776
|539.128-550.271
|534.6175-547.92
|541.41-552.553
|542.857-543.6735
!547.465
!539.228-550.701
| colspan="2" |548.571-551.02
|548.002-561.092
!555.429-557.143
|548.002-559.145
|548.002-559.145
|559.904-571.047
|559.904-571.047
Line 112: Line 137:
|621.253-634.253
|621.253-634.253
! colspan="2" |628.571
! colspan="2" |628.571
|628.982-641.982
|623.7205-639.24
|631.645-644.645
|633.333-634.286
!638.71
!629.1-642.485
! colspan="2" |640-642.857
|639.335-654.335
!648-650
|639.335-652.335
|639.335-652.335
|653.224-666.221
|653.224-666.221
Line 126: Line 154:
|710.005-724.862
|710.005-724.862
! colspan="2" |718.367
! colspan="2" |718.367
|718.837-733.694
|712.823-730.56
|721.88-736.737
|723.8095-724.898
!729.954
!718.971-734
| colspan="2" |731.429-734.694
|730.67-748.123
!740.571-742.857
|730.67-745.257
|730.67-745.257
|746.539-761.396
|746.539-761.396
Line 140: Line 171:
|798.756-815.47
|798.756-815.47
! colspan="2" |808.163
! colspan="2" |808.163
|808.692-825.406
|801.926-821.88
|812.115-828.829
|814.286-815.510
!821.198
!808.842-826.032
| colspan="2" |822.857-826.531
|822.003-841.78
!833.143-835.714
|822.003-838.718
|822.003-838.718
|839.856-856.57
|839.856-856.57
Line 154: Line 188:
|887.507-906.078
|887.507-906.078
! colspan="2" |897.959
! colspan="2" |897.959
|898.546-917.118
|891.029-913.2
|902.35-920.921
|904.762-906.1225
!912.442
!898.714-917.835
| colspan="2" |914.286-918.367
|913.337-935.153
!925.714-928.571
|913.337-931.908
|913.337-931.908
|933.173-951.745
|933.173-951.745
Line 168: Line 205:
|976.257-996.686
|976.257-996.686
! colspan="2" |987.755
! colspan="2" |987.755
|988.401-1008.829
|980.132-1004.52
|992.585-1013.013
|995.238-996.735
!1003.687
!988.585-1009.619
| colspan="2" |1005.714-1010.204
|1007.671-1028.6685
!1018.286-1021.429
|1007.671-1025.099
|1007.671-1025.099
|1026.491-1046.919
|1026.491-1046.919
Line 182: Line 222:
|1065.008-1087.294
|1065.008-1087.294
! colspan="2" |1077.551
! colspan="2" |1077.551
|1078.255-1100.541
|1069.235-1095.84
|1082.82-1105.106
|1085.714-1087.347
!1094.931
!1078.4565-1101.023
| colspan="2" |1097.143-1102.041
|1096.004-1121.1894
!1110.857-1114.286
|1096.004-1118.29
|1096.004-1118.29
|1119.808-1142.094
|1119.808-1142.094
Line 196: Line 239:
|1153.759-1177.901
|1153.759-1177.901
! colspan="2" |1167.735
! colspan="2" |1167.735
|1168.11-1192.253
|1158.338-1187.16
|1173.055-1197.198
|1176.1905-1177.959
!1186.175
!1168.328-1193.186
| colspan="2" |1188.571-1193.878
|1187.338-1215.699
!1203.429-1207.143
|1187.338-1211.481
|1187.338-1211.481
|1213.1255-1237.268
|1213.1255-1237.268
Line 210: Line 256:
|1242.506-1268.506
|1242.506-1268.506
| colspan="2" |1257.143
| colspan="2" |1257.143
|1257.965-1283.965
|1247.441-1278.48
|1263.29-1289.29
|1266.667-1268.571
|1277.419
|1258.199-1284.969
|1278.672-1304.672
| colspan="2" |1280-1285.714
|1278.672-1309.2145
|1296-1300
|1287.757-1319.799
|1306.443-1332.443
|1306.443-1332.443
|1320
|1320

Revision as of 03:17, 20 December 2018

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.

Intervals

Degrees Octatonic Soft Phrygian Phrygian
Minimum Min-Med±13¢ Median Min-Max/Med-Max±13¢ Maximum Thirdtone Semitone
Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ Maximum Minimum Min-Med/Min-Max±13¢ Median Med-Max±13¢ 15/7±13¢ Maximum
1 G#/Ab 85.714 88.575-90.4325 89.61 88.751-90.608 89.796 89.103-91.32 90.476-90.612 89.871-91.7835 91.429-91.837 91.334-93.515 92.571-92.857 91.234-93.191 93.317-95.1745 94.286
2 A 171.429 177.151-180.865 179.221 177.501-181.216 179.592 178.206-182.64 180.952-181.2245 179.743-183.567 182.857-183.6735 182.667-187.031 185.143-185.714 182.667-186.382 186.635-190.349 188.571
3 A#/Bb 257.143 265.756-271.2975 268.831 266.252-271.823 269.388 267.309-273.96 271.429-271.837 269.614-275.351 274.286-275.51 274.001-280.545 277.714-278.571 274.001-279.5725 279.952-285.5235 282.857
4 B 342.857 354.301-361.73 358.442 355.003-362.431 359.184 356.412-365.28 361.905-362.449 359.4855-367.134 365.714-367.347 365.335-374.613 370.286-371.429 365.335-372.763 373.269-380.698 377.143
5 B#/Cb 428.571 442.877-452.1625 448.052 443.753-453.039 448.98 445.515-456.6 452.381-453.061 449.357-458.918 457.143-459.184 456.6685-467.577 462.857-464.286 456.6685-465.954 466.587-475.872 471.429
6 C 514.286 531.452-542.595 537.662 532.504-543.647 538.776 534.6175-547.92 542.857-543.6735 539.228-550.701 548.571-551.02 548.002-561.092 555.429-557.143 548.002-559.145 559.904-571.047 565.714
7 Q 600 620.0275-633.0275 627.273 621.253-634.253 628.571 623.7205-639.24 633.333-634.286 629.1-642.485 640-642.857 639.335-654.335 648-650 639.335-652.335 653.224-666.221 660
8 Q#/Db 685.714 708.603-723.46 716.883 710.005-724.862 718.367 712.823-730.56 723.8095-724.898 718.971-734 731.429-734.694 730.67-748.123 740.571-742.857 730.67-745.257 746.539-761.396 754.286
9 D 771.429 797.178-813.8925 806.4935 798.756-815.47 808.163 801.926-821.88 814.286-815.510 808.842-826.032 822.857-826.531 822.003-841.78 833.143-835.714 822.003-838.718 839.856-856.57 848.571
10 D#/Eb 857.143 885.754-904.325 896.103 887.507-906.078 897.959 891.029-913.2 904.762-906.1225 898.714-917.835 914.286-918.367 913.337-935.153 925.714-928.571 913.337-931.908 933.173-951.745 942.857
11 E 942.857 974.329-994.7575 985.714 976.257-996.686 987.755 980.132-1004.52 995.238-996.735 988.585-1009.619 1005.714-1010.204 1007.671-1028.6685 1018.286-1021.429 1007.671-1025.099 1026.491-1046.919 1037.143
12 E#/Fb 1028.571 1062.904-1085.19 1075.325 1065.008-1087.294 1077.551 1069.235-1095.84 1085.714-1087.347 1078.4565-1101.023 1097.143-1102.041 1096.004-1121.1894 1110.857-1114.286 1096.004-1118.29 1119.808-1142.094 1131.429
13 F 1114.286 1151.48-1175.6225 1164.935 1153.759-1177.901 1167.735 1158.338-1187.16 1176.1905-1177.959 1168.328-1193.186 1188.571-1193.878 1187.338-1215.699 1203.429-1207.143 1187.338-1211.481 1213.1255-1237.268 1225.714
14 G 1200 1240.055-1266.055 1254.5455 1242.506-1268.506 1257.143 1247.441-1278.48 1266.667-1268.571 1258.199-1284.969 1280-1285.714 1278.672-1309.2145 1296-1300 1287.757-1319.799 1306.443-1332.443 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
Minimum Min-Med/Min-Max±13¢ Median Med-Max-13c Maximum Minimum 9/4±13¢ Min-Med/Min-Max±13¢ Median Med-Max-13c Maximum
1 F#/Gb 97.959 97.737-99.5945 98.901 98.216-100.074 100 99.351-101.208 100.043-101.9 101.299 100.712-102.569 102.857
2 G 195.918 195.475-199.189 197.802 196.433-200.147 200 198.701-202.416 200.085-203.8 202.597 201.424-205.138 205.714
3 G#/Ab 293.878 293.212-298.783 296.703 294.649-300.221 300 298.052-303.624 300.128-305.6995 303.896 302.236-307.707 308.571
4 A 391.836 390.949-398.378 395.604 392.866-400.294 400 397.403-404.831 400.171-407.599 405.195 402.848-410.276 411.429
5 A#/Bb 489.796 488.687-497.972 494.5055 491.082-500.368 500 496.754-506.039 500.2135-509.499 506.4935 503.56-512.845 514.286
6 B 587.755 586.424-597.567 593.407 589.2985-600.441 600 596.104-607.247 600.256-611.399 607.792 604.2715-615.414 617.143
7 H 685.714 684.161-697.161 692.308 687.515-700.515 700 695.455-708.455 700.299-713.299 709.091 704.983-717.983 720
8 H#/Cb 783.6735 781.899-796.756 791.209 785.731-800.5885 800 794.805-809.663 800.342-815.199 810.39 805.695-820.5525 822.857
9 C 881.633 879.636-896.35 890.11 883.948-900.662 900 894.156-910.871 900.384-917.099 911.688 906.407-923.1215 925.714
10 C#/Db 979.592 977.373-995.945 989.011 982.164-1000.7436 1000 993.507-1012.079 1000.427-1018.9985 1012.987 1007.119-1025.691 1028.571
11 D 1077.551 1075.111-1095.539 1087.912 1080.381-1100.809 1100 1092.858-1113.286 1100.47-1120.898 1114.286 1107.831-1128.26 1131.429
12 D#/Eb 1175.51 1172.848-1195.134 1186.813 1178.597-1200.883 1200 1192.209-1214.494 1200.512-1222.798 1215.584 1208.543-1230.829 1234.286
13 E 1273.469 1270.585-1294.728 1285.714 1276.813-1300.956 1300 1291.559-1315.702 1300.555-1324.698 1316.883 1309.255-1333.398 1337.143
14 F 1371.429 1368.322-1394.322 1384.615 1375.03-1401.03 1400 1390.91-1416.91 1400.598-1426.598 1418.182 1409.967-1435.967 1440
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