29/16
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| Ratio | 29/16 |
| Subgroup monzo | 2.29 [-4 1⟩ |
| Size in cents | 1029.5772¢ |
| Names | vicesimononal supraminor seventh, octave-reduced 29th harmonic |
| Color name | 29o7, tweno 7th |
| FJS name | [math]\text{m7}^{29}[/math] |
| Special properties | reduced, reduced harmonic |
| Tenney height (log2 nd) | 8.85798 |
| Weil height (log2 max(n, d)) | 9.71596 |
| Wilson height (sopfr (nd)) | 37 |
| Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.22068 bits |
[sound info] | |
| open this interval in xen-calc | |
In 29-limit just intonation, 29/16 is the vicesimononal supraminor seventh, which is also the octave-reduced 29th harmonic. It is sharp of the Pythagorean minor seventh (16/9) by 261/256 (~33 ¢), and sharp of the classic minor seventh (9/5) by 145/144 (~12 ¢).
Approximation
This interval is very accurately approximated by 7edo (6\7). It is approximately a cent away from it, the difference being the jackpot comma, 17249876309/17179869184.
See also
- 32/29 – its octave complement
- 48/29 – its twelfth complement