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 Phrygian Mode (aka Double) Neapolitan Temperament (natural minor) Phrygian-Aeolian Mode Neapolitan Temperament (intermediate minor) Aeolian Mode Neapolitan Temperament (melodic/harmonic minor)
Absolute Minimum Minimum Median Maximum Minimum Median Maximum Minimum Median Maximum
1 F#/Gb 85.714 89.143 91.429 94.286 95.798 97.959 100 102.857
2 G 171.429 178.286 182.857 188.571 191.597 195.918 200 205.714
3 G#/Ab 257.143 267.429 274.286 282.857 287.395 293.878 300 308.571
4 A 342.857 356.571 365.714 377.143 383.193 391.836 400 411.429
5 A#/Bb 428.571 445.714 467.143 471.429 478.992 489.796 500 514.286
6 B 514.286 534.857 548.571 565.714 574.79 587.755 600 617.143
7 H 600 624 640 660 670.588 685.714 700 720
8 H#/Cb 685.714 713.143 731.429 754.286 766.387 783.6735 800 822.857
9 C 771.429 802.286 822.857 848.571 862.185 881.633 900 925.714
10 C#/Db 857.143 891.429 914.286 942.857 957.983 979.592 1000 1028.571
11 D 942.857 980.571 1005.714 1037.143 1053.7815 1077.551 1100 1131.429
12 D#/Eb 1028.571 1069.714 1097.143 1131.429 1149.58 1175.51 1200 1234.286
13 E 1114.286 1158.857 1188.571 1225.714 1245.378 1273.469 1300 1337.143
14 F 1200 1268.571 1280 1320 1341.1765 1371.429 1400 1440

Golden Tunings

Degrees Octatonic Phrygian Mode (natural minor) Phrygian-Aeolian Mode (intermediate minor) Aeolian Mode (melodic/harmonic minor)
Min-Med Min-Max Med-Max Min-Med/Min-Max Med-Max Min-Med Min-Max Med-Max
1 F#/Gb 90.783 91.164 92.262 95.395 96.237 98.666 99.459 100.971
2 G 181.566 182.327 184.5245 190.79 192.473 197.332 198.918 201.943
3 G#/Ab 272.35 273.491 276.787 286.185 288.71 295.998 298.377 302.913
4 A 363.133 364.654 396.049 381.58 384.947 394.664 397.839 403.885
5 A#/Bb 453.916 455.818 461.311 476.975 481.183 493.3295 497.296 504.856
6 B 544.699 546.981 553.574 572.37 577.42 591.9955 597.755 605.828
7 H 635.482 638.145 645.836 667.765 673.658 690.661 696.2145 706.799
8 H#/Cb 726.2655 729.3085 738.098 763.16 769.893 789.327 795.674 807.77
9 C 817.049 820.472 830.3605 858.555 866.13 887.993 895.133 908.7415
10 C#/Db 907.832 911.636 922.623 953.95 962.367 986.659 994.592 1009.713
11 D 998.615 1002.799 1014.885 1049.345 1058.603 1085.325 1094.051 1110.684
12 D#/Eb 1089.398 1093.963 1107.147 1144.74 1154.84 1183.991 1193.5105 1211.655
13 E 1180.1815 1185.126 1199.41 1240.435 1251.077 1282.657 1292.97 1312.627
14 F 1270.965 1276.29 1291.672 1335.53 1347.313 1381.322 1392.429 1413.598