15edX

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15edX is the scale which occurs as the dominant minor edX.

Intervals

Degrees Enneatonic Intense Aeolian-Subpental Dorian Dorian
Subpental
Min Golden±13¢ Max Min Golden±13¢ Max Min Golden±13¢ Max Min Golden±13¢ Max
1 G#/Jb G#/Ab 96 96.457-98.19 96.667 97.778 97.39-99.123 100 100.618-102.351 101.818 101.245-102.978 102.857
2 J A 192 192.913-196.38 193.333 195.556 194.78-198.247 200 201.236-204.702 203.636 202.49-205.956 205.714
3 J#/Ab A#/Bb 288 289.37-294.57 290 293.333 292.17-297.37 300 301.854-204.702 305.4545 303.734-308.934 308.571
4 J B 384 385.829-392.76 386.667 391.111 389.56-396.493 400 402.4715-307.054 407.273 404.979-411.9215 411.429
5 A C 480 482.284-490.95 483.333 488.889 486.95-495.617 500 503.089-511.756 509.091 509.502-514.891 514.286
6 A#/Bb C#/Qb 576 578.74-589.14 580 586.667 584.334-594.74 600 603.707-614.107 610.909 607.469-617.869 617.143
7 B Q 672 675.197-687.33 676.667 684.444 681.73-693.863 700 704.325-716.4585 712.727 708.7135-720.847 720
8 B#/Cb Q#/Db 768 771.654-785.52 773.333 782.822 779.12-792.9865 800 804.943-818.81 814.5455 809.958-823.825 822.857
9 C D 864 868.1105-883.7105 870 880 876.51-892.11 900 905.561-921.161 916.364 911.203-926.823 925.714
10 D S 960 964.567-981.901 966.667 977.778 973.9-991.233 1000 1006.179-1023.512 1018.182 1012.448-1029.781 1028.571
11 D#/Eb S#/Eb 1056 1061.024-1080.091 1063.333 1075.556 1071.39-1090.356 1100 1106.797-1125.863 1120 1113.693-1132.759 1131.429
12 E 1152 1157.481-1178.281 1160 1173.333 1168.68-1189.48 1200 1207.4145-1228.2145 1221.818 1214.9375-1235.7375 1234.286
13 E#/Fb 1248 1253.937-1276.471 1256.667 1271.111 1266.07-1288.603 1300 1308.032-1330.566 1323.636 1316.182-1338.716 1337.143
14 F 1344 1350.394-1374.661 1353.333 1368.889 1363.46-1387.726 1400 1408.65-1432.917 1425.4545 1417.427-1441.694 1440
15 G 1440 1446.851-1472.851 1450 1466.667 1460.85-1486.85 1500 1509.268-1535.268 1527.273 1518.672-1544.672 1542.857
Degrees Enneatonic Min Golden±13¢ Max
1 F#/Gb G#/Jb G#/Ab 102.857 102.788-104.5215 103.333 104
2 G J A 205.714 205.576-209.043 206.667 208
3 G#/Jb G#/Ab J#/Ab A#/Bb 308.571 308.365-313.565 310 312
4 J A J B 411.429 411.153-418.086 413.333 416
5 A B A C 514.286 513.941-526.308 516.667 520
6 A#/Bb B#/Hb A#/Bb C#/Qb 617.143 616.729-627.129 620 624
7 B H B Q 720 719.5175-731.651 723.333 728
8 B#/Hb H#/Cb B#/Cb Q#/Db 822.857 822.306-836.172 826.667 832
9 H C C D 925.714 925.094-940.694 930 936
10 C D D S 1028.571 1027.882-1045.2155 1033.333 1040
11 C#/Db D#/Sb D#/Eb S#/Eb 1131.429 1130.67-1149.737 1136.667 1144
12 D S E 1234.286 1233.459-1254.259 1240 1248
13 D#/Eb S#/Eb E#/Fb 1337.143 1336.247-1358.78 1343.333 1352
14 E F 1440 1439.035-1463.302 1446.667 1456
15 F G 1542.857 1541.823-1567.823 1550 1560
Degrees Enneatonic Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
Min Golden±13¢ Max Min Golden±13¢ Max Min Golden±13¢ Max Min Golden±13¢ Max Min Golden±13¢ Max
1 F#/Gb 104 103.855-105.788 105 104.306-106.04 106.667 106.664-108.398 107.586 108.4245-110.158 110 110.345 109.6375-111.371 112
2 G 208 207.709-211.576 210 208.613-212.08 213.333 213.329-216.795 215.172 216.849-220.316 220 220.69 219.275-222.742 224
3 G#/Jb G#/Ab 312 311.564-317.364 315 312.919-318.119 320 319.993-325.193 322.759 325.273-330.473 330 331.034 328.913-334.113 336
4 J A 416 415.419-423.152 420 417.226-424.159 426.667 426.657-433.5905 430.345 433.698-440.631 440 441.379 438.55-445.4835 448
5 A B 520 519.2735-528.94 525 521.532-530.199 533.333 533.321-541.988 537.931 542.122-550.789 550 551.724 548.188-556.854 560
6 A#/Bb B#/Hb 624 623.128-634.728 630 625.8385-636.238 640 639.987-650.386 645.517 650.547-660.947 660 662.069 657.825-668.225 672
7 B H 728 726.983-740.516 735 730.145-742.278 746.667 746.65-758.783 753.103 758.971-771.105 770 772.414 767.463-779.596 784
8 B#/Hb H#/Cb 832 830.8375-844.704 840 834.451-848.318 853.333 853.314-867.181 860.69 867.396-881.262 880 882.759 877.1-890.967 896
9 H C 936 934.693-952.092 945 938.758-954.358 960 959.9785-975.5785 968.276 975.82-991.42 990 993.103 986.738-1002.338 1008
10 C D 1040 1038.547-1057.88 1050 1043.064-1060.3975 1066.667 1066.643-1083.976 1075.862 1084.245-1101.578 1100 1103.448 1096.3755-1113.709 1120
11 C#/Db D#/Sb 1144 1142.402-1163.668 1155 1147.3705-1166.437 1173.333 1173.307-1192.374 1183.448 1192.669-1211.736 1210 1213.379 1206.013-1225.08 1232
12 D S 1248 1246.256-1269.456 1260 1251.677-1272.477 1280 1279.971-1300.771 1291.034 1301.0395-1321.8935 1320 1324.138 1315.651-1336.451 1344
13 D#/Eb S#/Eb 1352 1353.111-1275.244 1365 1355.983-1378.517 1386.667 1386.636-1409.169 1398.621 1409.518-1425.288 1430 1424.483 1438.993-1447.8215 1456
14 E 1456 1453.966-1481.032 1470 1460.29-1484.556 1493.333 1493.3-1517.567 1506.207 1517.9425-1534.926 1540 1544.827 1541.778-1559.192 1568
15 F 1560 1557.82-1583.82 1575 1564.596-1590.596 1600 1599.964-1625.964 1613.793 1626.366-1652.366 1650 1655.172 1644.563-1670.563 1680

By a surprising coincidence, the 15ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every third degree of 34edo. Additionally, those of the modal Golden and Pyrite tenths are almost exactly +1/28-syntonic comma 4ed(5/4) (Intense Aeolian-Subpental Dorian), 9ed(5/3)/equal multiples of 18/17 (Subpental Dorian), 13ed(15/7) (Pental Dorian), 2ed(9/8) (Superpental Dorian), -1/12-syntonic comma 3ed(6/5) (Dorian-Mixolydian), 14ed(7/3)/equal multiples of 17/16/100π\3 cents (Subpental Mixolydian), 3ed(6/5) (Pental Mixolydian), -1/20-septimal comma 4ed(9/7)/-1/28-syntonic comma 14ed(12/5)/9ed(7/4) (Soft Superpental Mixolydian), 12ed(32/15) (Intense Superpental Mixolydian) and 8ed(5/3)/-1/9 schismic 9ed(16/9)/14ed(22/9) (Mixolydian-Ionian) respectively.