User:Moremajorthanmajor/13edIX

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This scale, a Long Common Practice minor mode, occurs in 12edo; where it is the equal division of the minor ninth. It has the Grandfather 5L 3s 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 92.308 95.389-97.389 96.5035 95.578-97.578 96.703 95.957-98.345 97.436-97.582 96.785-98.844 98.4615-98.901 98.359-100.709 99.692-100 99.058-101.523 100.496-102.496 101.5385
2 A 184.615 190.778-194.778 193.007 191.155-195.155 193.407 191.914-196.689 194.872-195.165 193.569-197.688 196.923-197.805 196.719-201.417 199.385-200 198.1165-203.046 200.991-204.912 203.077
3 A#/Bb 276.923 286.1665-292.1665 289.5105 286.733-292.733 290.11 287.871-295.034 292.308-292.747 290.354-296.531 295.385-296.703 295.078-302.126 299.077-300 297.175-304.569 301.487-307.487 304.615
4 B 369.231 381.555-389.555 386.014 382.3105-390.3105 386.813 383.828-393.378 389.735-390.33 387.138-395.375 393.846-395.604 393.4375-402.835 398.769-400 396.233-406.092 401.982-409.982 406.154
5 C 461.5385 476.944-486.944 482.5175 477.888-487.888 483.5165 479.785-491.723 487.1795-487.912 483.923-494.219 492.308-494.5055 491.797-503.544 498.4615-500 495.291-507.615 502.478-512.478 507.692
6 C#/Qb 553.846 572.333-584.333 579.021 573.466-585.466 580.22 575.742-590.068 584.615-585.4945 580.707-593.063 590.769-593.407 590.156-604.253 598.154-600 594.349-609.138 602.974-614.974 609.231
7 Q 646.154 667.722-681.722 675.5245 669.043-683.043 676.923 671.699-688.412 682.051-683.077 677.492-691.907 689.231-692.308 688.516-704.962 697.846-700 693.408-710.661 703.469-717.469 710.769
8 D 738.4615 763.111-781.111 772.0228 764.621-780.621 773.626 767.656-786.757 779.487-780.659 774.2765-790.75 787.692-791.209 786.875-805.67 797.5385-800 792.466-812.184 803.965-819.965 812.308
9 D#/Eb 830.769 858.5-876.5 868.5315 860.199-878.199 870.33 863.613-885.1015 876.923-878.242 871.061-889.594 886.154-890.11 885.234-906.379 897.231-900 891.524-913.707 904.46-922.46 913.846
10 E 923.077 953.8885-973.8885 965.035 955.776-975.776 967.033 959.57-983.446 974.359-975.824 967.846-988.438 984.615-989.011 983.594-1007.088 996.923-1000 990.582-1015.23 1004.956-1024.956 1015.385
11 E#/Fb 1015.385 1049.277-1071.277 1061.5385 1051.354-1073.354 1063.736 1055.527-1081.791 1071.795-1073.407 1064.63-1087.282 1083.077-1087.912 1081.953-1107.797 1096.615-1100 1089.641-1116.75 1105.452-1127.452 1116.923
12 F 1107.692 1144.666-1168.666 1158.042 1146.932-1170.932 1160.4395 1151.484-1180.135 1169.231-1170.989 1161.415-1186.126 1081.5385-1186.813 1180.312-1208.506 1196.308-1200 1188.699-1218.276 1205.947-1299.947 1218.4615
13 G 1200 1240.055-1266.055 1254.5455 1242.506-1268.509 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 101.5385 100.905-102.905 102.024 101.1465-103.1465 102.564 102.019-104.019 103.167 102.32-104.32 103.846 103.425-105.425 104.615 103.812-105.812 104-106 105.4945
2 G A 203.077 201.81-205.81 204.0485 202.293-206.293 205.128 204.037-208.037 206.335 204.641-208.641 207.692 206.849-210.849 209.231 207.624-211.624 208.001-212.001 210.989
3 G#/Ab A#/Bb 304.615 302.715-308.715 306.073 303.44-309.44 307.692 306.056-312.056 309.502 306.961-312.961 311.5385 310.274-316.274 313.846 311.4365-317.4365 312.001-318.001 316.4835
4 A B 406.154 403.62-411.62 408.097 404.586-412.586 410.256 408.075-416.075 412.67 409.281-417.281 415.385 413.699-421.699 418.4615 415.249-423.249 416.001-424.001 421.978
5 B C 507.692 504.525-514.525 510.1215 505.733-515.733 512.8205 510.093-520.093 515.837 511.602-521.602 519.231 517.123-527.123 523.077 519.061-529.061 520.002-530.002 527.4725
6 B#/Hb C#/Qb 609.231 605.43-617.43 612.146 606.879-618.879 615.384 612.112-624.112 619.0045 613.922-625.922 623.077 620.548-632.548 627.692 622.873-634.873 624.002-636.002 632.967
7 H Q 710.769 706.335-720.335 714.17 708.026-722.026 717.945 714.131-728.131 722.172 716.242-730.242 736.923 723.973-737.973 732.308 726.685-740.685 728.002-742.0022 738.4615
8 C D 812.308 807.24-823.24 816.194 809.172-825.172 820.513 816.1495-832.1495 825.339 818.563-834.563 830.769 827.3975-843.3975 836.923 830.497-846.497 832.003-848.002 843.856
9 C#/Db D#/Eb 913.846 908.145-926.145 918.219 910.319-928.319 923.077 918.168-936.168 929.507 920.883-938.883 934.615 930.822-948.822 941.5385 934.309-952.309 936.003-924.003 949.4505
10 D E 1015.385 1009.0505-1029.0505 1020.243 1011.465-1031.465 1025.641 1020.186-1040.186 1031.674 1023.2035-1043.2035 1038.4165 1034.247-1054.2547 1046.154 1038.122-1058.122 1040.003-1060.003 1054.945
11 D#/Eb E#/Fb 1116.923 1109.9555-1131.9555 1123.267 1112.61-1134.612 1128.205 1122.2055-1143.2055 1134.842 1125.524-1147.524 1142.308 1137.672-1159.672 1150.769 1141.934-1163.934 1144.004-1166.004 1160.44
12 E F 1218.4615 1210.861-1234.861 1224.291 1213.758-1227.758 1230.769 1224.224-1248.224 1238.009 1225.844-1249.884 1246.154 1241.096-1265.096 1255.385 1245.746-1269.746 1248.004-1272.004 1265.935
13 F G 1320 1311.767-1337.767 1326.316 1314.905-1340.905 1333.333 1326.243-1352.243 1341.1765 1343.1645-1396.1645 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±13¢ Maximum Minimum 9/4±13¢ Min-Med/Min-Max±13¢ Median Med-Max±13¢ Maximum
1 F#/Gb 105.4945 105.256-107.256 106.509 105.7715-107.7715 107.692 106.993-108.993 107.738-109.738 109.091 108.459-110.459 110.769
2 G 210.989 210.511-214.511 213.018 211.543-215.543 215.385 213.986-217.986 215.477-219.477 218.182 216.918-220.918 221.5385
3 G#/Ab 316.4835 315.767-321.767 319.527 317.315-323.315 323.077 320.979-326.979 323.215-329.215 327.273 325.377-331.377 332.308
4 A 421.978 421.022-429.022 426.036 423.086-431.086 430.769 427.972-435.972 430.953-438.953 436.364 433.836-437.836 443.076
5 B 527.4725 526.278-536.278 532.544 528.858-538.858 538.4615 534.965-544.965 538.6915-548.6915 545.4545 542.295-552.295 553.846
6 B#/Hb 632.967 631.534-643.534 639.053 634.629-646.629 646.154 641.9585-653.9585 646.43-658.43 654.5455 650.754-666.754 664.615
7 H 738.4615 736.789-750.789 745.562 740.401-754.401 754.846 748.9515-762.9515 754.168-768.168 763.636 759.213-773.213 775.385
8 C 843.856 842.045-858.045 853.071 846.172-862.172 861.5385 855.945-871.945 861.906-877.906 872.727 867.672-883.672 886.154
9 C#/Db 949.4505 947.3-965.3 958.58 951.944-969.944 969.231 962.938-980.938 969.645-986.645 981.818 976.131-994.131 996.923
10 D 1054.945 1052.556-1072.556 1065.089 1057.715-1077.715 1076.923 1069.931-1089.931 1077.383-1077.383 1090.909 1084.59-1104.59 1107.692
11 D#/Eb 1160.44 1157.8115-1179.8115 1171.598 1163.487-1187.487 1184.615 1177-924-1199.924 1185.121-1207.121 1200 1193.049-1215.049 1218.4615
12 E 1265.9344 1264.067-1287.067 1278.1065 1269.258-1293.258 1292.308 1283.917-1307.917 1292.86-1316.86 1309.094 1301.508-1325.508 1329.231
13 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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