User:Moremajorthanmajor/14edIX

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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.

Intervals

Degrees Octatonic Soft Phrygian Phrygian
Minimum Median Maximum Minimum Median 15/7±13¢ Maximum
1 G#/Ab 85.714 89.61 89.796 91.244 93.317-95.1745 94.286
2 A 171.429 179.221 179.592 182.4885 186.635-190.349 188.571
3 A#/Bb 257.143 268.831 269.388 273.733 279.952-285.5235 282.857
4 B 342.857 358.442 359.184 364.977 373.269-380.698 377.143
5 B#/Cb 428.571 448.052 448.98 456.221 466.587-475.872 471.429
6 C 514.286 537.662 538.776 547.465 559.904-571.047 565.714
7 Q 600 627.273 628.571 638.71 653.224-666.221 660
8 Q#/Db 685.714 716.883 718.367 729.954 746.539-761.396 754.286
9 D 771.429 806.4935 808.163 821.198 839.856-856.57 848.571
10 D#/Eb 857.143 896.103 897.959 912.442 933.173-951.745 942.857
11 E 942.857 985.714 987.755 1003.687 1026.491-1046.919 1037.143
12 E#/Fb 1028.571 1075.325 1077.551 1094.931 1119.808-1142.094 1131.429
13 F 1114.286 1164.935 1167.735 1186.175 1213.1255-1237.268 1225.714
14 G 1200 1254.5455 1257.143 1277.419 1306.443-1332.443 1320
Degrees Octatonic Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum Median Maximum Minimum Median Maximum Minimum Median 11/5±13¢ Maximum
1 F#/Gb G#/Ab 94.286 94.737 95.238 95.798 96.429 97.143 96.572-98.429 97.959
2 G A 188.571 189.473 190.476 191.597 192.857 194.286 193.1435-196.858 195.918
3 G#/Ab A#/Bb 282.857 284.2105 285.714 287.395 289.286 291.429 289.715-295.287 293.878
4 A B 377.143 378.947 380.952 383.193 385.714 388.571 386.287-393.7155 391.836
5 A#/Bb B#/Cb 471.429 473.684 476.1905 478.992 482.143 485.714 482.859-492.144 489.796
6 B C 565.714 568.421 571.429 574.79 578.571 582.857 579.43-590.573 587.755
7 H Q 660 663.158 666.667 670.588 675 680 676.002-689.002 685.714
8 H#/Cb Q#/Db 754.286 757.894 761.905 766.387 771.429 777.143 772.574-787.431 783.6735
9 C D 848.571 853.632 857.143 862.185 867.857 874.286 869.146-885.86 881.633
10 C#/Db D#/Eb 942.857 947.368 952.381 957.983 964.286 971.429 965.717-984.289 979.592
11 D E 1037.143 1042.105 1047.619 1053.7815 1060.714 1068.571 1062.289-1082.718 1077.551
12 D#/Eb E#/Fb 1131.429 1136.842 1142.857 1149.58 1157.143 1165.714 1158.861-1181.1465 1175.51
13 E F 1225.714 1231.579 1238.095 1245.378 1253.571 1262.857 1255.4325-1279.575 1273.469
14 F G 1320 1326.316 1333.333 1341.1765 1350 1360 1352.004-1378.004 1371.429
Degrees Octatonic Aeolian Intense Aeolian
Minimum Median Maximum Minimum 9/4±13¢ Median Maximum
1 F#/Gb 97.959 98.901 100 99.351-101.208 101.299 102.857
2 G 195.918 197.802 200 198.701-202.416 202.597 205.714
3 G#/Ab 293.878 296.703 300 298.052-303.624 303.896 308.571
4 A 391.836 395.604 400 397.403-404.831 405.195 411.429
5 A#/Bb 489.796 494.5055 500 496.754-506.039 506.4935 514.286
6 B 587.755 593.407 600 596.104-607.247 607.792 617.143
7 H 685.714 692.308 700 695.455-708.455 709.091 720
8 H#/Cb 783.6735 791.209 800 794.805-809.663 810.39 822.857
9 C 881.633 890.11 900 894.156-910.871 911.688 925.714
10 C#/Db 979.592 989.011 1000 993.507-1012.079 1012.987 1028.571
11 D 1077.551 1087.912 1100 1092.858-1113.286 1114.286 1131.429
12 D#/Eb 1175.51 1186.813 1200 1192.209-1214.494 1215.584 1234.286
13 E 1273.469 1285.714 1300 1291.559-1315.702 1316.883 1337.143
14 F 1371.429 1384.615 1400 1390.91-1416.91 1418.182 1440

Phrygian Mode (Neapolitan minor/"major")

Degrees Octatonic Soft Phrygian Phrygian
Min-Med±13¢ Min-Max/Med-Max±13¢ Min-Med±13¢ Min-Max±13¢ Med-Max±13¢
1 G#/Ab 88.575-90.4325 88.751-90.608 89.855-91.712 90.235-92.092 91.234-93.191
2 A 177.151-180.865 177.501-181.216 179.709-183.4235 180.47-184.184 182.667-186.382
3 A#/Bb 265.756-271.2975 266.252-271.823 269.564-275.135 270.705-276.276 274.001-279.5725
4 B 354.301-361.73 355.003-362.431 359.4185-366.847 360.94-368.3685 365.335-372.763
5 B#/Cb 442.877-452.1625 443.753-453.039 449.273-458.559 451.175-460.461 456.6685-465.954
6 C 531.452-542.595 532.504-543.647 539.128-550.271 541.41-552.553 548.002-559.145
7 Q 620.0275-633.0275 621.253-634.253 628.982-641.982 631.645-644.645 639.335-652.335
8 Q#/Db 708.603-723.46 710.005-724.862 718.837-733.694 721.88-736.737 730.67-745.257
9 D 797.178-813.8925 798.756-815.47 808.692-825.406 812.115-828.829 822.003-838.718
10 D#/Eb 885.754-904.325 887.507-906.078 898.546-917.118 902.35-920.921 913.337-931.908
11 E 974.329-994.7575 976.257-996.686 988.401-1008.829 992.585-1013.013 1007.671-1025.099
12 E#/Fb 1062.904-1085.19 1065.008-1087.294 1078.255-1100.541 1082.82-1105.106 1096.004-1118.29
13 F 1151.48-1175.6225 1153.759-1177.901 1168.11-1192.253 1173.055-1197.198 1187.338-1211.481
14 G 1240.055-1266.055 1242.506-1268.506 1257.965-1283.965 1263.29-1289.29 1278.672-1304.672

Phrygian-Aeolian Mode (intermediate minor)

Degrees Octatonic Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Min-Med/Min-Max±13¢ Med-Max±13¢ Min-Med/Min-Max±13¢ Med-Max±13¢ Min-Med/Min-Max±13¢ Med-Max±13¢
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

Aeolian Mode (natural/harmonic minor)

Degrees Octatonic Aeolian Intense Aeolian
Min-Med/Min-Max±13¢ Med-Max-13c Min-Med/Min-Max±13¢ Med-Max-13c
1 F#/Gb 97.737-99.5945 98.216-100.074 100.043-101.9 100.712-102.569
2 G 195.475-199.189 196.433-200.147 200.085-203.8 201.424-205.138
3 G#/Ab 293.212-298.783 294.649-300.221 300.128-305.6995 302.236-307.707
4 A 390.949-398.378 392.866-400.294 400.171-407.599 402.848-410.276
5 A#/Bb 488.687-497.972 491.082-500.368 500.2135-509.499 503.56-512.845
6 B 586.424-597.567 589.2985-600.441 600.256-611.399 604.2715-615.414
7 H 684.161-697.161 687.515-700.515 700.299-713.299 704.983-717.983
8 H#/Cb 781.899-796.756 785.731-800.5885 800.342-815.199 805.695-820.5525
9 C 879.636-896.35 883.948-900.662 900.384-917.099 906.407-923.1215
10 C#/Db 977.373-995.945 982.164-1000.7436 1000.427-1018.9985 1007.119-1025.691
11 D 1075.111-1095.539 1080.381-1100.809 1100.47-1120.898 1107.831-1128.26
12 D#/Eb 1172.848-1195.134 1178.597-1200.883 1200.512-1222.798 1208.543-1230.829
13 E 1270.585-1294.728 1276.813-1300.956 1300.555-1324.698 1309.255-1333.398
14 F 1368.322-1394.322 1375.03-1401.03 1400.598-1426.598 1409.967-1435.967
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