15edX

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

Intervals

Degrees .1225) Intense Aeolian-Subpental Dorian Dorian
Subpental Pental Superpental
Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma
1 G#/Jb G#/Ab 93.333-96 97.143 95.111-100.444 98.4615 97.333-102.667 101.333 99.1515-104.485 102.222 102.857-105.524
2 J A 186.667-192 194.286 190.222-200.889 196.923 194.667-205.333 202.667 198.303-208.97 204.444 205.714-211.048
3 J#/Ab A#/Bb 280-288 291.429 285.333-301.333 295.385 292-308 304 297.4545-313.4545 306.667 308.571-316.571
4 A B 373.333-384 388.571 380.444-401.778 393.846 389.333-410.667 405.333 396.606-417.939 408.889 411.429-422.095
5 B C 466.667-480 485.714 475.556-502.222 492.308 486.667-513.333 506.667 495.758-522.424 511.111 514.286-527.619
6 B#/Cb C#/Qb 560-576 582.857 570.667-602.667 590.769 584-616 608 594.909-626.909 613.333 617.143-633.143
7 C Q 653.333-672 680 665.778-703.111 689.231 681.333-718.667 709.333 694.061-731.394 715.556 720-738.667
8 C#/Qb Q#/Db 746.667-768 757.143 760.889-803.556 787.692 778.667-821.333 810.667 793.212-835.879 817.778 822.857-844.1905
9 Q D 840-864 874.286 856-904 886.154 876-924 912 892.364-940.364 920 925.714-949.714
10 D S 933.333-960 971.429 951.111-1004.444 984.615 973.333-1026.667 1013.333 991.515-1044.8485 1022.222 1028.571-1055.238
11 D#/Eb S#/Eb 1026.667-1056 1068.571 1046.222-1104.889 1083.077 1070.667-1129.333 1114.667 1090.667-1149.333 1124.444 1131.429-1160.761
12 E 1120-1152 1165.714 1141.333-1205.333 1181.5385 1168-1232 1216 1189.818-1253.818 1226.667 1234.286-1266.286
13 E#/Fb 1213.333-1248 1262.857 1236.444-1305.778 1280 1265.333-1334.667 1317.333 1288.97-1358.303 1328.889 1337.143-1371.8095
14 F 1306.667-1344 1360 1331.556-1406.222 1378.4615 1363.667-1437.333 1418.667 1388.121-1462.788 1431.111 1440-1477.333
15 G 1400-1440 1457.143 1426.667-1506.667 1476.923 1460-1540 1520 1487.273-1567.273 1533.333 1542.857-1582.857
Degrees Enneatonic Mohajira Beatles
Min-comma Med Max+comma Min-comma Med Max+comma
1 F#/Gb G#/Jb G#/Ab 100.1905-102.857 103.333 100.863-106.196 103.704 104-106.667
2 G J A 200.381-205.714 206.667 201.7255-212.392 207.407 208-213.333
3 G#/Jb G#/Ab J#/Ab A#/Bb 300.571-308.571 310 302.588-318.588 311.111 312-320
4 J A A B 400.702-411.429 413.333 403.451-424.784 414.815 416-426.667
5 A B B C 500.952-514.286 516.667 504.314-530.98 518.5185 520-533.33
6 A#/Bb B#/Hb B#/Cb C#/Qb 601.143-617.143 620 605.1765-637.1765 622.222 624-640
7 B H C Q 701.333-720 723.333 706.04-743.3725 725.926 728-746.667
8 B#/Hb H#/Cb C#/Qb Q#/Db 801.524-822.857 826.667 806.902-849.569 829.63 832-853.333
9 H C Q D 901.714-925.714 930 907.765-955.765 933.333 936-960
10 C D D S 1001.905-1048.571 1033.333 1008.6275-1061.961 1037.037 1040-1066.667
11 C#/Db D#/Sb D#/Eb S#/Eb 1102.095-1131.429 1136.667 1109.49-1168.157 1140.741 1144-1173.333
12 D S E 1202.286-1234.286 1240 1210.353-1274.353 1244.444 1248-1280
13 D#/Eb S#/Eb E#/Fb 1302.476-1337.143 1343.333 1311.216-1380.549 1348.148 1352-1386.667
14 E F 1402.667-1440 1446.667 1412.078-1486.745 1451.852 1456-1493.333
15 F G 1502.857-1542.857 1550 1512.941-1592.941 1555.556 1560-1600
Degrees Enneatonic Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma Min-comma Med Max+comma
1 F#/Gb 101.333-104 104.615 102.333-107.667 105.263 104-109.333 107.5 104.9195-110.253 108.9655 107.678-113.0115 110.588 112-114.667
2 G 202.667-208 209.231 204.667-215.333 210.526 208-218.667 215 209.809-220.506 217.931 215.356-226.023 221.1765 224-229.333
3 G#/Jb G#/Ab 304-312 313.846 307-323 315.7895 312-328 322.5 314.759-330.759 326.897 323.0345-339.0345 331.765 336-344
4 J A 405.333-416 418.4615 409.333-435.667 421.053 416-437.333 430 419.678-441.0115 435.862 430.713-452.046 442.353 448-458.667
5 A B 516.667-520 523.077 511.667-538.333 526.316 520-546.667 537.5 524.598-541.264 544.828 538.391-565.0575 552.941 560-573.333
6 A#/Bb B#/Hb 608-624 627.692 614-646 631.579 624-656 645 629.517-661.517 653.793 646.069-678.069 663.529 672-688
7 B H 709.333-728 732.308 716.333-753.667 736.842 728-765.333 752.5 734.437-771.77 762.759 753.747-791.0805 774.118 784-802.667
8 B#/Hb H#/Cb 810.666-832 836.923 818.667-861.333 842.103 832-874.667 860 839.356-882.023 871.724 861.425-904.092 884.706 896-917.333
9 H C 912-936 941.5385 921-969 947.368 936-984 967.5 944.276-992.276 980.69 969.103-1007.103 995.294 1008-1032
10 C D 1013.333-1040 1046.154 1023.333-1076.667 1052.632 1040-1093.333 1075 1049.195-1102.529 1089.655 1076.782-1130.115 1105.882 1120-1146.667
11 C#/Db D#/Sb 1114.667-1144 1150.769 1125.667-1184.333 1157.895 1144-1202.667 1182.5 1154.115-1212.782 1198.621 1184.46-1243.126 1216.471 1232-1261.333
12 D S 1216-1248 1255.385 1228-1292 1263.158 1248-1312 1290 1259.0345-1323.0345 1307.586 1292.138-1356.138 1327.059 1344-1376
13 D#/Eb S#/Eb 1317.333-1352 1360 1330.333-1399.667 1368.421 1352-1421.333 1397.5 1363.954-1433.287 1416.552 1399.816-1469.149 1437.647 1456-1490.667
14 E 1418.667-1456 1464.615 1432.667-1506.333 1473.684 1456-1530.337 1505 1468.874-1534.54 1525.517 1507.494-1582.161 1548.235 1568-1605.333
15 F 1520-1560 1569.231 1535-1615 1578.947 1560-1640 1612.5 1573.793-1653.793. 1634.483 1615.172-1695.172 1658.8235 1680-1720

Relative cents

Degrees Enneatonic Intense Aeolian-Subpental Dorian Dorian
1 G#/Jb G#/Ab 96.667 100
2 J A 193.333 200
3 J#/Ab A#/Bb 290 300
4 A B 386.667 400
5 B C 483.333 500
6 B#/Cb C#/Qb 580 600
7 C Q 676.667 700
8 C#/Qb Q#/Db 773.333 800
9 Q D 870 900
10 D S 966.667 1000
11 D#/Eb S#/Eb 1063.333 1100
12 E 1160 1200
13 E#/Fb 1256.667 1300
14 F 1353.333 1400
15 G 1450 1500
Degrees Enneatonic Subpental-Soft Superpental Mixolydian Intense Superpental Mixolydian ~ Mixolydian-Ionian
1 F#/Gb 106.667 110
2 G 213.333 220
3 G#/Jb G#/Ab 320 330
4 J A 426.667 440
5 A B 533.333 550
6 A#/Bb B#/Hb 640 660
7 B H 746.667 770
8 B#/Hb H#/Cb 853.333 880
9 H C 960 990
10 C D 1066.667 1100
11 C#/Db D#/Sb 1173.333 1210
12 D S 1280 1320
13 D#/Eb S#/Eb 1386.667 1430
14 E 1493.333 1540
15 F 1600 1650

Golden/Pyrite Tunings±13¢

Degrees Enneatonic Intense Aeolian-Subpental Dorian Dorian
Subpental Pental Superpental
1 G#/Jb G#/Ab 96.457-98.19 97.39-99.123 100.618-102.351 101.245-102.978
2 J A 192.913-196.38 194.78-198.247 201.236-204.702 202.49-205.956
3 J#/Ab A#/Bb 289.37-294.57 292.17-297.37 301.854-204.702 303.734-308.934
4 A B 385.829-392.76 389.56-396.493 402.4715-307.054 404.979-411.9215
5 B C 482.284-490.95 486.95-495.617 503.089-511.756 509.502-514.891
6 B#/Cb C#/Qb 578.74-589.14 584.334-594.74 603.707-614.107 607.469-617.869
7 C Q 675.197-687.33 681.73-693.863 704.325-716.4585 708.7135-720.847
8 C#/Qb Q#/Db 771.654-785.52 779.12-792.9865 804.943-818.81 809.958-823.825
9 Q D 868.1105-883.7105 876.51-892.11 905.561-921.161 911.203-926.823
10 D S 964.567-981.901 973.9-991.233 1006.179-1023.512 1012.448-1029.781
11 D#/Eb S#/Eb 1061.024-1080.091 1071.39-1090.356 1106.797-1125.863 1113.693-1132.759
12 E 1157.481-1178.281 1168.68-1189.48 1207.4145-1228.2145 1214.9375-1235.7375
13 E#/Fb 1253.937-1276.471 1266.07-1288.603 1308.032-1330.566 1316.182-1338.716
14 F 1350.394-1374.661 1363.46-1387.726 1408.65-1432.917 1417.427-1441.694
15 G 1446.851-1472.851 1460.85-1486.85 1509.268-1535.268 1518.672-1544.672
Degrees Enneatonic Mohajira Beatles
1 F#/Gb G#/Jb G#/Ab 102.526-104.26 102.788-104.5215
2 G J A 205.053-208.519 205.576-209.431
3 G#/Jb G#/Ab J#/Ab A#/Bb 307.579-312.779. 308.365-313.565
4 J A A B 410.1055-417.099 411.153-418.086
5 A B B C 512.632-521.2985 513.941-522.607
6 A#/Bb B#/Hb B#/Cb C#/Qb 615.158-625.558 616.729-627.129
7 B H C Q 717.685-729.818 719.5175-731.651
8 B#/Hb H#/Cb C#/Qb Q#/Db 820.211-834.078 822.306-836.172
9 H C Q D 922.737-938.337 925.094-940.694
10 C D D S 1025.264-1042.597 1027.882-1045.215
11 C#/Db D#/Sb D#/Eb S#/Eb 1127.79-1146.857 1130.67-1149.737
12 D S E 1230.316-1251.116 1233.459-1254.259
13 D#/Eb S#/Eb E#/Fb 1332.843-1355.376 1336.247-1358.78
14 E F 1435.369-1459.666 1439.035-1463.302
15 F G 1537.8955-1563.8955 1541.823-1577.823
Degrees Enneatonic Mixolydian Mixolydian-Ionian
Subpental Pental Superpental
Soft Intense
1 F#/Gb 103.855-105.788 104.306-106.04 106.664-108.398 108.4245-110.158 109.6375-111.371
2 G 207.709-211.576 208.613-212.08 213.329-216.795 216.849-220.316 219.275-222.742
3 G#/Jb G#/Ab 311.564-317.364 312.919-318.119 319.993-325.193 325.273-330.473 328.913-334.113
4 J A 415.419-423.152 417.226-424.159 426.657-433.5905 433.698-440.631 438.55-445.4835
5 A B 519.2735-528.94 521.532-530.199 533.321-541.988 542.122-550.789 548.188-556.854
6 A#/Bb B#/Hb 623.128-634.728 625.8385-636.238 639.987-650.386 650.547-660.947 657.825-668.225
7 B H 726.983-740.516 730.145-742.278 746.65-758.783 758.971-771.105 767.463-779.596
8 B#/Hb H#/Cb 830.8375-844.704 834.451-848.318 853.314-867.181 867.396-881.262 877.1-890.967
9 H C 934.693-952.092 938.758-954.358 959.9785-975.5785 975.82-991.42 986.738-1002.338
10 C D 1038.547-1057.88 1043.064-1060.3975 1066.643-1083.976 1084.245-1101.578 1096.3755-1113.709
11 C#/Db D#/Sb 1142.402-1163.668 1147.3705-1166.437 1173.307-1192.374 1192.669-1211.736 1206.013-1225.08
12 D S 1246.256-1269.456 1251.677-1272.477 1279.971-1300.771 1301.0395-1321.8935 1315.651-1336.451
13 D#/Eb S#/Eb 1353.111-1275.244 1355.983-1378.517 1386.636-1409.169 1409.518-1425.288 1438.993-1447.8215
14 E 1453.966-1481.032 1460.29-1484.556 1493.3-1517.567 1517.9425-1534.926 1541.778-1559.192
15 F 1557.82-1583.82 1564.596-1590.596 1599.964-1625.964 1626.366-1652.366 1644.563-1670.563

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.