29/16
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Ratio
29/16
Subgroup monzo
2.29 [-4 1⟩
Size in cents
1029.577¢
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
| Interval information |
octave-reduced 29th harmonic
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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