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 |