14edIX

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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-comma Median Maximum+comma Thirdtone Semitone
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma
1 G#/Ab 82.857-85.714 89.61 86.939-92.653 90.476-90.612 88.571-94.694 92.571-92.857 94.286-97.143
2 A 165.714-171.429 179.221 173.878-185.306 180.952-181.2245 177.143-189.388 185.143-185.714 188.571-194.286
3 A#/Bb 248.571-257.143 268.831 260.816-277.959 271.429-271.837 265.714-284.082 277.714-278.571 282.857-291.429
4 B 331.429-342.857 358.442 357.755-370.612 361.905-362.449 354.286-378.7755 370.286-371.429 377.143-388.571
5 B#/Cb 414.286-428.571 448.052 434.694-463.265 452.381-453.061 442.857-473.436 462.857-464.286 471.429-485.714
6 C 497.143-514.286 537.662 521.633-555.918 542.857-543.6735 531.429-568.163 555.429-557.143 565.714-582.857
7 Q 580-600 627.273 608.571-648.571 633.333-634.286 620-662.857 648-650 660-680
8 Q#/Db 662.857-685.714 716.883 695.51-741.2245 723.8095-724.898 708.571-757.551 740.571-742.857 754.286-777.143
9 D 745.714-771.429 806.4935 782.449-833.878 814.286-815.510 797.143-852.245 833.143-835.714 848.571-874.286
10 D#/Eb 828.571-857.143 896.103 869.388-926.531 904.762-906.1225 885.714-946.938 925.714-928.571 942.857-971.429
11 E 911.429-942.857 985.714 956.327-1019.184 995.238-996.735 974.286-1041.633 1018.286-1021.429 1037.143-1068.571
12 E#/Fb 994.286-1028.571 1075.325 1043.266-1111.837 1085.714-1087.347 1062.857-1136.3265 1110.857-1114.286 1131.429-1165.714
13 F 1077.143-1114.286 1164.935 1130.204-1204.49 1176.1905-1177.959 1151.429-1231.02 1203.429-1207.143 1225.714-1262.857
14 G 1160-1200 1254.5455 1217.143-1297.143 1266.667-1268.571 1240-1325.714 1296-1300 1320-1360
Degrees Octatonic Intense Phrygian Intense Phrygian-Soft Aeolian Soft Aeolian
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma
1 F#/Gb G#/Ab 91.429-94.286 94.737 92.381-98.095 95.798 93.571-99.286 96.429 97.143 97.959-100.816
2 G A 183.857-188.571 189.473 184.762-196.1905 191.597 187.143-198.571 192.857 194.286 195.918-201.633
3 G#/Ab A#/Bb 274.286-282.857 284.2105 277.143-294.286 287.395 280.714-297.857 289.286 291.429 293.878-301.449
4 A B 363.714-377.143 378.947 369.524-392.381 383.193 374.286-397.143 385.714 388.571 391.836-403.265
5 A#/Bb B#/Cb 455.143-471.429 473.684 461.905-490.476 478.992 467.857-496.429 482.143 485.714 489.796-504.082
6 B C 546.571-565.714 568.421 554.286-588.571 574.79 561.429-595.714 578.571 582.857 587.755-604.898
7 H Q 640-660 663.158 646.667-686.667 670.588 655-695 675 680 685.714-705.714
8 H#/Cb Q#/Db 731.429-754.286 757.894 739.048-784.762 766.387 748.571-794.286 771.429 777.143 783.6735-806.531
9 C D 823.857-848.571 853.632 831.429-882.857 862.185 842.143-893.571 867.857 874.286 881.633-907.347
10 C#/Db D#/Eb 914.286-942.857 947.368 923.8095-980.952 957.983 935.714-992.857 964.286 971.429 979.592-1008.163
11 D E 1003.714-1037.143 1042.105 1016.1905-1079.048 1053.7815 1029.286-1092.143 1060.714 1068.571 1077.551-1108.98
12 D#/Eb E#/Fb 1095.143-1131.429 1136.842 1108.429-1177.143 1149.58 1122.857-1191.429 1157.143 1165.714 1175.51-1209.796
13 E F 1186.571-1225.714 1231.579 1200.952-1275.238 1245.378 1216.429-1290.714 1253.571 1262.857 1273.469-1310.612
14 F G 1280-1320 1326.316 1293.333-1373.333 1341.1765 1310-1390 1350 1360 1371.429-1411.429
Degrees Octatonic Aeolian Intense Aeolian
Flattone Meantone Superpyth Ultrapyth
Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma Minimum-comma Median Maximum+comma
1 F#/Gb 95.102-97.959 98.901 96.391-102.105 99.429 97.143-102.857 100 100.84 98.442-104.156 101.786 102.857-105.714
2 G 190.204-195.918 197.802 192.782-204.2105 198.857 194.286-205.714 200 201.681 196.883-208.312 203.571 205.714-211.429
3 G#/Ab 285.306-293.878 296.703 289.173-306.316 297.286 291.429-308.571 300 302.521 295.325-312.4675 305.357 308.571-317.143
4 A 380.408-391.836 395.604 385.564-408.421 397.714 388.571-411.429 400 403.361 393.726-416.623 407.143 411.429-422.857
5 A#/Bb 475.51-489.796 494.5055 481.956-510.526 496.143 485.714-514.286 500 504.201 492.208-520.779 508.929 514.286-528.571
6 B 570.612-587.755 593.407 578.246-612.632 596.571 582.857-617.143 600 605.042 590.649-624.935 610.714 617.143-634.286
7 H 665.714-685.714 692.308 674.737-714.737 696 680-720 700 705.882 689.091-729.091 712.5 720-740
8 H#/Cb 760.916-783.6735 791.209 771.128-816.842 795.429 777.143-822.857 800 806.723 787.5325-833.247 814.286 822.857-845.714
9 C 855.918-881.633 890.11 867.506-918.947 894.857 874.286-925.714 900 907.563 885.974-937.403 916.071 925.714-951.429
10 C#/Db 951.02-979.592 989.011 963.91-1021.053 993.286 971.429-1028.571 1000 1008.403 984.416-1041.558 1017.857 1028.571-1057.143
11 D 1046.122-1077.551 1087.912 1060.301-1123.158 1093.714 1068.571-1131.429 1100 1109.244 1082.857-1145.714 1119.643 1131.429-1162.857
12 D#/Eb 1141.2245-1175.51 1186.813 1156.692-1225.263 1192.143 1165.714-1234.286 1200 1210.084 1181.299-1249.87 1221.429 1234.286-1268.571
13 E 1236.3265-1273.469 1285.714 1253.083-1327.368 1292.571 1262.857-1337.143 1300 1310.924 1279.74-1254.026 1323.214 1337.143-1374.286
14 F 1331.429-1371.429 1384.615 1349.474-1429.474 1392 1360-1440 1400 1411.765 1378.182-1458.182 1425 1440-1480

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 1373.127-1404.193 1380.033-1406.033 1396.658-1422.658 1400.598-1426.598 1409.967-1435.967 1414.428-1440.428