26edo
From Xenharmonic Reference
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26edo is the equal-step tuning that divides the octave into 26 equal parts of about 46.2 cents each.
Theory
JI approximation
26edo is characterized by a flat tuning of harmonics 3, 5, and 13 and an accurate tuning of 7 and 11 in the 13-limit. The accurate 7 combined with the flat 5 means that 7/5 and 10/7 are both mapped to the half octave tritone, tempering out 50/49.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | 0.0 | -9.6 | -17.1 | +0.4 | +2.5 | -9.8 | -12.6 | -20.6 | +17.9 | -14.2 | +8.8 |
| Relative (%) | 0.0 | -20.9 | -37.0 | +0.9 | +5.5 | -21.1 | -27.4 | -44.6 | +38.7 | -30.8 | +19.1 | |
| Steps (reduced) |
26 (0) |
41 (15) |
60 (8) |
73 (21) |
90 (12) |
96 (18) |
106 (2) |
110 (6) |
118 (14) |
126 (22) |
129 (25) | |
TODO:
- write about flattone
- write about usability in the 13-limit
