22edt: Difference between revisions
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intro, re-calculated interval table, re-categorized |
increased cent size in introductory sentence, otherwise the 3-digit values in the interval table would look wrong (rounding of 86.452500039...) |
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'''22edt''' is the '''equal division of the third harmonic''' ([[edt]]) into '''22 tones''', each | '''22edt''' is the '''equal division of the third harmonic''' ([[edt]]) into '''22 tones''', each 86.4525 [[cent]]s 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. | 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. | ||
Revision as of 13:18, 28 October 2018
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 minor 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 |
|---|---|
| 1 | 86.453 |
| 2 | 172.905 |
| 3 | 259.358 |
| 4 | 345.810 |
| 5 | 432.263 |
| 6 | 518.715 |
| 7 | 605.168 |
| 8 | 691.620 |
| 9 | 778.073 |
| 10 | 864.525 |
| 11 | 950.978 |
| 12 | 1037.430 |
| 13 | 1123.883 |
| 14 | 1210.335 |
| 15 | 1296.788 |
| 16 | 1383.240 |
| 17 | 1469.693 |
| 18 | 1556.145 |
| 19 | 1642.598 |
| 20 | 1729.050 |
| 21 | 1815.503 |
| 22 | 1901.955 |