User:Moremajorthanmajor/17edIX: Difference between revisions

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Revision as of 19:49, 22 December 2018

This scale, a Long Common Practice minor mode, has the Grandfather 3L 5s MOS with a 4:1 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 A Ab 70.588 72.944-74.474 73.797 73.089-74.618 73.95 73.379-75.205 74.51-74.622 74.012-75.586 75.294-75.63 75.216-77.013 76.235-76.471 75.75-77.635 76.85-78.379 77.647
2 B\\ G#v/Ab^ 141.1765 145.889-148.948 147.594 146.178-149.236 147.899 146.758-150.409 149.02-149.244 148.023-151.173 150.588-151.2605 150.432-154.025 152.471-152.941 151.501-155.2705 153.7-156.758 155.294
3 Apv/B\\^ G# 211.765 218.833-223.4215 221.39 219.266-223.855 221.849 220.137-225.614 223.529-213.8655 222.035-226.759 225.882-226.891 225.648-230.037 228.706-229.1765 227.251-232.906 230.549-235.137 232.941
4 Ap A 282.353 291.778-297.895 295.187 292.355-298.473 295.798 293.5155-300.819 298.039-298.487 296.047-302.346 301.1765-302.521 300.864-308.050 304.941-305.647 303.002-301.541 307.398-313.516 310.588
5 B 352.941 364.722-372.369 368.984 365.444-373.091 369.748 366.894-376.0235 372.549-373.109 370.059-377.932 376.471-378.151 376.08-385.063 381.1765-382.118 378.752-388.176 384.248-391.895 387.235
6 C 423.529 437.6665-446.843 442.781 438.533-447.709 443.698 440.273-451.228 447.059-447.731 444.070-453.519 451.765-453.7815 451.296-462.075 457.412-458.588 454.5025-465.811 461.0975-470.274 464.822
7 Q Qb 494.118 510.611-521.317 516.5775 511.621-522.327 517.647 513.652-526.433 521.569-522.353 518.082-529.105 527.059-529.412 526.512-539.088 533.647-535.294 530.253-543.447 537.947.548.653 542.529
8 D\\ C#v/Qb^ 564.706 583.555-595.791 590.374 584.71-596.9455 591.597 587.031-601.638 596.078-596.975 592.094-604.6915 602.353-605.042 601.728-616.101 609.882-611.235 606.003-621.082 614.797-627.032 620.1765
9 Qpv/D\\^ C# 635.294 656.5-670.264 664.171 657.799-671.564 665.546 660.41-676.842 670.588-671.597 661.1055-680.278 677.647-680.672 676.944-693.1135 686.118-688.765 681.754-698.717 691.646-705.411 697.8235
10 Qp Q 705.882 729.444-744.738 737.97 730.888-746.182 739.496 733.789-752.047 745.098-746.2185 740.117-755.864 752.941-756.3025 752.16-770.126 762.353-764.706 757.504-776.352 768.496-783.79 777.471
11 D 776.471 802.3885-819.212 811.765 803.9765-820.8 813.445 807.468-827.252 819.608-820.84 814.129-831.451 828.235-831.932 827.376-847.139 838.588-841.412 833.255-853.988 845.345-862.169 855.118
12 E 847.059 875.333-893.686 885.5616 877.065-895.418 887.395 880.5465-902.456 894.118-895.462 888.141-907.037 903.529-907.563 902.592-924.151 914.8235-917.882 909.005-931.622 922.195-940.548 932.765
13 F Fb 917.647 948.277-968.16 959.358 950.154-970.0365 961.3445 953.925-977.661 968.6275-970.084 962.152-982.624 978.8235-983.193 977.808-1001.164 991.059-994.353 984.755-1009.258 999.0445-1018.927 1010.412
14 F\\ E#v/Fb^ 988.235 1021.222-1042.6335 1033.155 1023.243-1044.655 1035.294 1027.304-1052.866 1043.137-1044.706 1036.164-1058.21 1054.118-1058.8235 1053.024-1078.177 1067.294-1080.8235 1060.506-1086.893 1075.894-1097.306 1088.059
15 Fpv/G\\^ E# 1058.8235 1094.166-1117.107 1106.952 1096.332-1119.273 1109.244 1100.683-1128.0705 1117.647-1119.328 1110.176-1133.7965 1129.412-1134.454 1128.24-1155.189 1143.529-1147.059 1136.256-1164.5285 1152.744-1175.685 1164.706
16 Fp F 1129.412 1167.111-1191.581 1180.749 1169.42-1193.891 1183.193 1174.062-1203.275 1192.156-1193.95 1184.188-1209.382 1204.706-1210.084 1203.456-1232.202 1219.765-1223.529 1212.007-1242.164 1229.593-1254.064 1242.353
17 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 G Gb A Ab 77.647 77.163-78.692 78.019 77.347-78.877 78.431 78.014-79.544 78.893 78.245-79.774 79.412 79.0895-80.618 80 79.385-80.915 79.53-81.059 80.672
2 A\\ F#v/Gb^ B\\ G#v/Ab^ 155.294 155.325-157.384 156.037 155.695-157.7535 156.863 156.029-159.087 157.7855 156.49-159.549 158.8235 158.179-161.238 160 158.772-161.83 159.059-162.118 161.3445
3 Gpv/A\\^ F# Apv/B\\^ G# 232.941 231.488-236.076 234.056 232.042-236.63 235.294 234.043-238.631 236.678 234.735-239.323 238.235 237.268-241.857 240 238.157-242.746 238.589-243.177 242.017
4 Gp G Ap A 310.588 308.651-314.768 312.074 309.389-315.507 313.7255 312.057-318.175 315.571 312.98-319.098 317.647 316.358-322.4755 320 317.543-323.661 318.119-324.236 322.689
5 A B 387.235 385.814-393.4605 390.093 386.737-394.384 392.156 390.071-397.7185 394.464 391.225-398.872 397.058 395.447-403.094 400 396.929-404.576 394.648-405.295 403.361
6 B C 464.822 462.976-472.1525 468.1115 464.084-473.261 470.588 468.086-477.262 473.356 469.469-478.646 476.471 474.537-483.713 480 476.315-485.4913 477.178-486.354 484.034
7 H Hb Q Qb 542.529 540.139-550.845 546.13 541.4315-549.423 549.02 546.1-556.806 552.249 547.715-558.421 555.882 553.627-564.332 560 555.7005-566.406 556.707-567.4135 564.706
8 C\\ B#v/Hb^ D\\ C#v/Qb^ 620.1765 617.3015-629.537 624.149 618.779-631.014 627.451 624.114-636.35 651.142 625.96-638.195 635.294 632.716-644.951 640 635.086-647.322 636.237-648.473 645.378
9 Hpv/C\\^ B# Qpv/D\\^ C# 697.8235 694.464-708.229 702.167 696.126-709.891 705.882 702.129-715.893 710.035 704.205-717.969 714.706 711.805-725.57 720 714.805-728.237 715.767-729.532 726.05
10 Hp H Qp Q 777.471 771.629-786.921 780.186 773.4735-788.768 784.314 780.143-795.437 788.927 782.45-797.744 794.118 790.895-806.189 800 793.858-809.152 795.297-810.591 806.723
11 C D 855.118 848.79-865.613 858.204 865.821-867.644 862.745 858.157-874.981 867.82 860.695-877.518 873.529 869.984-886.808 880 873.243-890.067 874.826-891.65 887.395
12 D E 932.765 925.952-944.305 936.223 928.168-946.521 941.1765 936.171-954.527 946.713 938.94-957.293 952.941 949.074-967.427 960 952.692-970.982 954.356-972.709 968.067
13 E Eb F Fb 1010.412 1003.115-1022.997 1014.2415 1005.516-1025.398 1019.607 1014.186-1034.0668 1025.6055 1017.185-1037.067 1032.353 1028.163-1048.045 1040 1032.015-1051.8975 1033.886-1053.768 1048.7395
14 F\\ D#v/Eb^ F\\ E#v/Fb^ 1088.059 1080.278-1101.689 1092.26 1082.863-1104.275 1098.039 1092.2-1113.612 1104.598 1095.43-1116.841 1111.765 1107.253-1128.664 1120 1111.401-1132.813 1113.415-1134.827 1129.412
15 Epv/F\\^ D# Fpv/G\\^ E# 1164.706 1157.44-1180.381 1170.028 1160.21-1183.151 1176.471 1170.214-1193.1555 1183.391 1173.675-1196.616 1191.1765 1186.3425-1209.283 1200 1190.788-1213.728 1189.945-1215.876 1210.084
16 Ep E Fp F 1242.353 1234.603-1259.0735 1248.297 1237.558-1262.028 1254.902 1248.229-1272.699 1262.284 1251.9195-1276.39 1270.588 1265.4315-1289.902 1280 1270.173-1294.643 1272.474-1296.945 1290.756
17 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±13¢ Maximum Minimum 9/4±13¢ Min-Med/Min-Max±13¢ Median Med-Max±13¢ Maximum
1 G Gb 80.672 80.49-82.019 81.448 80.884-82.4135 82.353 81.818-83.348 82.388-83.9175 83.422 82.939-84.469 84.706
2 A\\ F#v/Gb^ 161.3445 160.979-164.038 162.896 161.768-164.827 164.706 163.6365-166.695 164.776-167.835 166.845 165.8785-168.937 169.412
3 Gpv/A\\^ F# 242.017 241.469-246.057 244.344 343.652-247.241 247.059 245.455-250.043 247.164-251.753 250.267 248.818-253.405 254.118
4 Gp G 322.689 321.958-328.076 325.792 323.536-329.654 329.412 327.272-333.391 329.552-335.67 333.69 331.757-337.875 338.8235
5 A 403.361 402.448-410.095 407.24 404.4205-412.068 411.765 409.091-416.738 411.9405-419.588 417.112 414.696-422.343 423.529
6 B 484.034 482.937-492.114 488.688 485.305-494.481 494.118 490.909-500.086 494.329-503.505 500.535 497.635-506.812 508.235
7 H Hb 564.706 563.427-574.133 570.136 566.189-576.895 576.471 572.728-583.4335 576.717-587.423 583.957 580.575-591.2805 592.941
8 C\\ B#v/Hb^ 645.378 643.917-656.152 651.584 647.073-359.308 658.8235 654.546-666.781 659.105-671.34 667.38 663.514-675.749 677.647
9 Hpv/C\\^ B# 726.05 724.406-738.171 733.032 727.957-741.723 741.1765 736.364-753.087 741.493-755.258 750.802 746.453-760.218 762.653
10 Hp H 806.723 804.896-820.19 814.48 808.841-824.135 823.529 818.182-833.4765 823.881-839.175 834.225 829.392-844.686 847.059
11 C 887.395 885.385-902.209 895.928 889.725-906.549 905.882 900.001-916.824 906.269-923.093 917.647 912.331-929.155 931.765
12 D 968.067 965.875-984.228 977.376 970.609-988.962 988.235 981.819-100.172 988.657-1007.01 1001.0695 995.271-1013.624 1016.471
13 E Eb 1048.7395 1046.364-1066.247 1058.8235 1051.493-1071.376 1070.588 1063.637-1083.519 1071.045-1090.928 1084.492 1078.21-1098.092 1101.1765
14 F\\ D#v/Eb^ 1129.412 1126.854-1148.266 1140.2715 1132.3775-1153.789 1152.941 1145.455-1166.867 1153.4335-1174.845 1167.914 1161.149-1182.561 1185.882
15 Epv/F\\^ D# 1210.084 1207.344-1230.285 1221.7195 1213.262-1236.203 1233.294 1227.2735-1250.215 1235.822-1258.762 1251.337 1244.088-1267.03 1270.588
16 Ep E 1290.756 1287.833-1312.304 1303.167 1294.146-1318.616 1317.647 1309.092-1333.562 1318.21-1342.68 1334.759 1327.028-1351.498 1355.294
17 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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