User:Moremajorthanmajor/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 | 83.571-85.714 | 89.61 | 87.653-91.939 | 90.476-90.612 | 91.429-91.837 | 92.571-92.857 | 94.286-96.429 | ||
| 2 | A | 167.143-171.429 | 179.221 | 175.306-183.878 | 180.952-181.2245 | 182.857-183.6735 | 185.143-185.714 | 188.571-192.857 | ||
| 3 | A#/Bb | 250.714-257.143 | 268.831 | 262.959-275.816 | 271.429-271.837 | 274.286-275.51 | 277.714-278.571 | 282.857-289.286 | ||
| 4 | B | 334.286-342.857 | 358.442 | 350.612-367.755 | 361.905-362.449 | 365.714-367.347 | 370.286-371.429 | 377.143-385.714 | ||
| 5 | B#/Cb | 417.857-428.571 | 448.052 | 438.265-459.694 | 452.381-453.061 | 457.143-459.184 | 462.857-464.286 | 471.429-482.143 | ||
| 6 | C | 501.429-514.286 | 537.662 | 525.918-551.633 | 542.857-543.6735 | 548.571-551.02 | 555.429-557.143 | 565.714-578.571 | ||
| 7 | Q | 585-600 | 627.273 | 613.571-643.571 | 633.333-634.286 | 640-642.857 | 648-650 | 660-675 | ||
| 8 | Q#/Db | 668.571-685.714 | 716.883 | 701.2245-735.51 | 723.8095-724.898 | 731.429-734.694 | 740.571-742.857 | 754.286-771.429 | ||
| 9 | D | 752.143-771.429 | 806.4935 | 788.878-827.449 | 814.286-815.510 | 822.857-826.531 | 833.143-835.714 | 848.571-867.857 | ||
| 10 | D#/Eb | 835.714-857.143 | 896.103 | 876.531-919.388 | 904.762-906.1225 | 914.286-918.367 | 925.714-928.571 | 942.857-964.286 | ||
| 11 | E | 919.286-942.857 | 985.714 | 964.184-1011.327 | 995.238-996.735 | 1005.714-1010.204 | 1018.286-1021.429 | 1037.143-1060.714 | ||
| 12 | E#/Fb | 1002.857-1028.571 | 1075.325 | 1051.837-1103.266 | 1085.714-1087.347 | 1097.143-1102.041 | 1110.857-1114.286 | 1131.429-1157.143 | ||
| 13 | F | 1086.429-1114.286 | 1164.935 | 1139.49-1195.204 | 1176.1905-1177.959 | 1188.571-1193.878 | 1203.429-1207.143 | 1225.714-1253.571 | ||
| 14 | G | 1170-1200 | 1254.5455 | 1227.143-1287.143 | 1266.667-1268.571 | 1250-1315.714 | 1296-1300 | 1320-1350 | ||
| Degrees | Octatonic | Intense Phrygian | Intense Phrygian-Soft Aeolian | Soft Aeolian | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Minimum-comma | Median | Maximum+comma | Minimum-comma | Median | Maximum+comma | Minimum-comma | r¢ | Median | Maximum+comma | |||
| 1 | F#/Gb | G#/Ab | 92.143-94.286 | 94.737 | 95.238 | 95.798 | 94.286-98.571 | 96.429 | 97.143 | 97.959-100.102 | ||
| 2 | G | A | 184.286-188.571 | 189.473 | 190.476 | 191.597 | 188.571-197.143 | 192.857 | 194.286 | 195.918-200.204 | ||
| 3 | G#/Ab | A#/Bb | 276.429-282.857 | 284.2105 | 285.714 | 287.395 | 282.857-295.714 | 289.286 | 291.429 | 293.878-300.306 | ||
| 4 | A | B | 368.571-377.143 | 378.947 | 380.952 | 383.193 | 377.143-394.286 | 385.714 | 388.571 | 391.836-400.408 | ||
| 5 | A#/Bb | B#/Cb | 460.714-471.429 | 473.684 | 476.1905 | 478.992 | 471.429-492.857 | 482.143 | 485.714 | 489.796-500.51 | ||
| 6 | B | C | 552.857-565.714 | 568.421 | 571.429 | 574.79 | 565.714-591.429 | 578.571 | 582.857 | 587.755-600.612 | ||
| 7 | H | Q | 645-660 | 663.158 | 666.667 | 670.588 | 660-690 | 675 | 680 | 685.714-700.714 | ||
| 8 | H#/Cb | Q#/Db | 737.143-754.286 | 757.894 | 761.905 | 766.387 | 754.286-788.571 | 771.429 | 777.143 | 783.6735-800.806 | ||
| 9 | C | D | 829.286-848.571 | 853.632 | 857.143 | 862.185 | 848.571-887.143 | 867.857 | 874.286 | 881.633-900.918 | ||
| 10 | C#/Db | D#/Eb | 921.429-942.857 | 947.368 | 952.381 | 957.983 | 942.857-985.714 | 964.286 | 971.429 | 979.592-1001.02 | ||
| 11 | D | E | 1013.571-1037.143 | 1042.105 | 1047.619 | 1053.7815 | 1037.143-1084.286 | 1060.714 | 1068.571 | 1077.551-1101.1225 | ||
| 12 | D#/Eb | E#/Fb | 1105.714-1131.429 | 1136.842 | 1142.857 | 1149.58 | 1131.429-1182.857 | 1157.143 | 1165.714 | 1175.51-1201.2245 | ||
| 13 | E | F | 1197.857-1225.714 | 1231.579 | 1238.095 | 1245.378 | 1225.714-1281.429 | 1253.571 | 1262.857 | 1273.469-1301.3265 | ||
| 14 | F | G | 1290-1320 | 1326.316 | 1333.333 | 1341.1765 | 1320-1380 | 1350 | 1360 | 1371.429-1401.429 | ||
| Degrees | Octatonic | Aeolian | Intense Aeolian | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Flattone | Meantone | Superpyth | Ultrapyth | ||||||||||||
| Minimum-comma | Median | Maximum+comma | Minimum-comma | Median | Maximum+comma | Minimum-comma | r¢ | Median | Maximum+comma | Minimum-comma | Median | Maximum+comma | |||
| 1 | F#/Gb | 95.816-97.959 | 98.901 | 97.105-101.391 | 99.429 | 97.857-102.143 | 100 | 100.84 | 99.156-103.4415 | 101.786 | 102.857-105 | ||||
| 2 | G | 191.633-195.918 | 197.802 | 194.2105-202.782 | 198.857 | 195.714-204.286 | 200 | 201.681 | 198.312-206.883 | 203.571 | 205.714-210 | ||||
| 3 | G#/Ab | 288.449-293.878 | 296.703 | 291.316-304.173 | 297.286 | 293.571-206.429 | 300 | 302.521 | 297.4675-310.3256 | 305.357 | 308.571-315 | ||||
| 4 | A | 383.265-391.836 | 395.604 | 388.421-405.564 | 397.714 | 391.429-408.571 | 400 | 403.361 | 396.623-413.726 | 407.143 | 411.429-420 | ||||
| 5 | A#/Bb | 479.082-489.796 | 494.5055 | 485.526-506.956 | 496.143 | 489.286-510.714 | 500 | 504.201 | 495.779-517.208 | 508.929 | 514.286-525 | ||||
| 6 | B | 574.898-587.755 | 593.407 | 582.632-608.246 | 596.571 | 587.143-612.857 | 600 | 605.042 | 594.935-620.6495 | 610.714 | 617.143-630 | ||||
| 7 | H | 670.714-685.714 | 692.308 | 679.737-709.737 | 696 | 685-715 | 700 | 705.882 | 694.091-724.091 | 712.5 | 720-735 | ||||
| 8 | H#/Cb | 766.531-783.6735 | 791.209 | 776.842-811.128 | 795.429 | 782.857-817.143 | 800 | 806.723 | 793.247-827.5355 | 814.286 | 822.857-840 | ||||
| 9 | C | 862.347-881.633 | 890.11 | 873.947-912.506 | 894.857 | 880.714-919.286 | 900 | 907.563 | 892.403-930.974 | 916.071 | 925.714-945 | ||||
| 10 | C#/Db | 958.163-979.592 | 989.011 | 971.053-1013.91 | 993.286 | 978.571-1021.429 | 1000 | 1008.403 | 991.5585-1034.416 | 1017.857 | 1028.571-1050 | ||||
| 11 | D | 1053.98-1077.551 | 1087.912 | 1068.158-1115.301 | 1093.714 | 1076.429-1123.571 | 1100 | 1109.244 | 1090.714-1137.857 | 1119.643 | 1131.429-1155 | ||||
| 12 | D#/Eb | 1149.796-1175.51 | 1186.813 | 1165.263-1216.692 | 1192.143 | 1174.286-1225.714 | 1200 | 1210.084 | 1189.87-1241.299 | 1221.429 | 1234.286-1260 | ||||
| 13 | E | 1425.612-1273.469 | 1285.714 | 1262.368-1318.083 | 1292.571 | 1272.143-1327.857 | 1300 | 1310.924 | 1289.026-1244.74 | 1323.214 | 1337.143-1365 | ||||
| 14 | F | 1341.429-1371.429 | 1384.615 | 1359.474-1419.474 | 1392 | 1370-1430 | 1400 | 1411.765 | 1388.182-1448.182 | 1425 | 1440-1470 | ||||
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 | |