User:Moremajorthanmajor/13edIX
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This scale, a Long Common Practice minor mode, occurs in 12edo; where it is the equal division of the minor ninth. It has the Grandfather 5L 3s 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 | 92.308 | 97.582 | 98.4615 | 101.5385 | 103.167 | 105.4945 | 107.692 | 110.769 | ||
| 2 | G | 184.615 | 195.165 | 196.923 | 203.077 | 206.335 | 210.989 | 215.385 | 221.5385 | ||
| 3 | G#/Ab | 276.923 | 292.747 | 295.385 | 304.615 | 309.502 | 316.4835 | 323.077 | 332.308 | ||
| 4 | A | 369.231 | 390.33 | 393.846 | 406.154 | 412.67 | 421.978 | 430.769 | 443.076 | ||
| 5 | B | 461.5385 | 487.912 | 491.308 | 507.692 | 515.837 | 527.4725 | 538.4615 | 553.846 | ||
| 6 | B#/Hb | 553.846 | 585.4945 | 589.769 | 609.231 | 619.0045 | 632.967 | 646.154 | 664.615 | ||
| 7 | H | 646.154 | 683.077 | 690.231 | 710.769 | 722.172 | 738.4615 | 754.846 | 775.385 | ||
| 8 | C | 738.4615 | 780.66 | 788.692 | 812.308 | 825.339 | 843.856 | 861.5385 | 886.154 | ||
| 9 | C#/Db | 830.769 | 878.242 | 896.154 | 913.846 | 929.507 | 949.4505 | 969.231 | 996.923 | ||
| 10 | D | 923.077 | 975.824 | 984.615 | 1015.385 | 1031.674 | 1054.945 | 1076.923 | 1107.692 | ||
| 11 | D#/Eb | 1015.385 | 1073.407 | 1083.077 | 1116.923 | 1134.842 | 1160.44 | 1184.615 | 1218.4615 | ||
| 12 | E | 1107.692 | 1170.99 | 1181.5385 | 1218.4615 | 1238.009 | 1265.9348 | 1292.308 | 1329.231 | ||
| 13 | 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 | 97.7665 | 98.176 | 99.359 | 102.733 | 103.639 | 106.256 | 107.11 | 108.738 |
| 2 | G | 195.533 | 196.352 | 198.719 | 205.466 | 207.279 | 212.511 | 214.22 | 217.477 |
| 3 | G#/Ab | 293.2995 | 294.528 | 298.078 | 308.199 | 310.9185 | 318.767 | 321.33 | 326.215 |
| 4 | A | 391.063 | 392.705 | 397.4375 | 410.932 | 414.558 | 425.022 | 428.44 | 434.953 |
| 5 | B | 488.833 | 490.881 | 469.797 | 513.6655 | 518.1975 | 531.278 | 535.55 | 543.6915 |
| 6 | B#/Hb | 586.299 | 589.057 | 596.156 | 616.399 | 621.837 | 637.534 | 642.6595 | 652.43 |
| 7 | H | 684.366 | 687.233 | 695.516 | 719.132 | 725.4765 | 743.789 | 749.769 | 761.168 |
| 8 | C | 782.132 | 785.409 | 794.875 | 821.865 | 829.116 | 850.045 | 856.879 | 869.906 |
| 9 | C#/Db | 879.899 | 883.585 | 894.234 | 924.598 | 932.755 | 956.3 | 963.989 | 978.645 |
| 10 | D | 977.665 | 981.761 | 993.594 | 1027.331 | 1036.395 | 1062.556 | 1071.099 | 1087.383 |
| 11 | D#/Eb | 1075.432 | 1079.9375 | 1092.953 | 1130.064 | 1140.034 | 1168.8115 | 1178.209 | 1196.121 |
| 12 | E | 1173.198 | 1178.114 | 1192.312 | 1232.797 | 1243.674 | 1275.067 | 1285.319 | 1304.86 |
| 13 | F | 1270.965 | 1276.29 | 1291.672 | 1335.53 | 1347.313 | 1381.322 | 1392.429 | 1413.598 |