3776edo
← 3775edo | 3776edo | 3777edo → |
Theory
3776edo is a tuning for the oganesson temperament in the 17-limit, which sets 1/118th of the octave to an interval that represents 169/168~170/169 tempered together.
While it does tune both 13th and 17th prime harmonic resonably, it is no longer consistent in the 15-odd-limit.
Odd harmonics
Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | Absolute (¢) | +0.058 | +0.127 | +0.136 | +0.115 | +0.059 | +0.044 | -0.133 | -0.083 | -0.055 | -0.124 | +0.010 |
Relative (%) | +18.2 | +40.0 | +42.8 | +36.3 | +18.6 | +14.0 | -41.9 | -26.0 | -17.4 | -39.1 | +3.0 | |
Steps (reduced) |
5985 (2209) |
8768 (1216) |
10601 (3049) |
11970 (642) |
13063 (1735) |
13973 (2645) |
14752 (3424) |
15434 (330) |
16040 (936) |
16585 (1481) |
17081 (1977) |