29-comma
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| Ratio | 70368744177664/68630377364883 |
| Factorization | 246 × 3-29 |
| Monzo | [46 -29⟩ |
| Size in cents | 43.304975¢ |
| Names | 29-comma, mystery comma |
| Color name | Wa-29, s4w4 |
| FJS name | [math]\text{dddd4}[/math] |
| Special properties | reduced, reduced subharmonic |
| Tenney height (log2 nd) | 91.9639 |
| Weil height (log2 max(n, d)) | 92 |
| Wilson height (sopfr (nd)) | 179 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.76265 bits |
| Comma size | medium |
| open this interval in xen-calc | |
[46 -29⟩, the 29-comma or mystery comma of 43.305 cents, is the difference between 46 octaves and 29 fifths, in other words 246/329.
Temperaments
Tempering out this comma splits the octave into 29 equal parts and maps the harmonic 3 to 17\29, leading to the 5-limit version of mystery temperament. For EDOs up to 400, the 29-comma is tempered out if and only if 29 divides it, for example 29edo, 58edo or 87edo.