9edIX

From TD Xenharmonic Wiki
Jump to navigation Jump to search

This is the neutral scale of the Fujiyama temperament family.

Intervals[edit]

Phrygian Mode (aka Double) Neapolitan Temperament

Degrees Minimum Mean Median Golden Maximum
1 see 9edo 140 145.4545 145.891 146.667
2 280 290.909 291.781 293.333
3 420 436.364 437.672 440
4 560 581.818 583.562 586.667
5 700 727.273 729.543 733.333
6 840 872.727 875.3435 880
7 980 1018.182 1021.234 1026.667
8 1120 1163.636 1167.125 1177.333

Phrygian-Aeolian Mode Neapolitan Temperament

Degrees Minimum Golden Mean Median Maximum
1 146.667 148.392 149.524 151.111 152.381
2 293.333 296.7845 299.048 302.222 304.762
3 440 445.177 448.571 453.333 457.143
4 586.667 593.5659 598.095 604.444 609.524
5 733.333 741.961 747.619 755.556 761.905
6 880 890.354 897.143 906.667 914.286
7 1026.667 1038.746 1046.667 1057.778 1066.667
8 1177.333 1187.138 1196.1905 1208.889 1219.048

Aeolian Mode Neapolitan Temperament

Degrees Minimum Golden Median ed(9/4) Mean Maximum
1 152.381 154.714 155.556 155.99 156.1905 160
2 304.762 308.429 311.111 311.98 312.381 320
3 457.143 464.143 466.667 467.97 468.571 480
4 609.524 618.857 622.222 623.96 624.762 640
5 761.905 773.572 777.778 779.95 780.952 800
6 914.286 928.286 933.333 935.94 937.143 960
7 1066.667 1083 1088.889 1091.93 1093.333 1120
8 1219.048 1237.715 1244.444 1247.92 1249.524 1280

By coincidence, using an equivalence wider than 1350 cents is identical to repeating a fairly flat Napoli scale one tone later.