22edt
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Prime factorization
2 × 11
Step size
86.4525¢
Octave
14\22edt (1210.34¢) (→7\11edt)
Consistency limit
7
Distinct consistency limit
4
| ← 21edt | 22edt | 23edt → |
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 |