29/16
Jump to navigation
Jump to search
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 (log_{2} nd) | 8.85798 |
Weil height (log_{2} 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