22edt

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22edt is the equal division of the third harmonic (edt) into 22 tones, each 86.4525 cents in size.

22edt has good approximations of the 7th, 11th, 19th and 20th harmonics. It also has the 4L+5s MOS with L=3 and s=2 approximating 5/3 somewhat fuzzily.

Like 11edt, both the octave and small whole tone (10/9) are about 10c off (sharp and flat respectively) dissonant but recognizable. Like 16edt and Blackwood, admitting the octave induces an interpretation into a tritave-based version of Whitewood temperament.

Intervals

Steps Cents hekts
1 86.453 59.091
2 172.905 118.182
3 259.358 177.273
4 345.81 236.364
5 432.263 295.4545
6 518.715 354.5455
7 605.168 413.636
8 691.620 472.727
9 778.073 531.818
10 864.525 590.909
11 950.978 650
12 1037.430 709.091
13 1123.883 768.182
14 1210.335 827.273
15 1296.788 886.364
16 1383.24 945.4545
17 1469.693 1004.5455
18 1556.145 1063.636
19 1642.598 1122.727
20 1729.05 1181.818
21 1815.503 1240.909
22 1901.955 1300

Compositions