32/29
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Ratio
32/29
Subgroup monzo
2.29 [5 -1⟩
Size in cents
170.4228¢
Names
vicesimononal submajor second,
octave-reduced 29th subharmonic
Color name
twenu 2nd, 29u2
FJS name
[math]\text{M2}_{29}[/math]
Special properties
reduced,
reduced subharmonic
Tenney height (log2 nd)
9.85798
Weil height (log2 max(n, d))
10
Wilson height (sopfr(nd))
39
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.21629 bits
open this interval in xen-calc
| Interval information |
octave-reduced 29th subharmonic
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
In 29-limit just intonation, 32/29 is the vicesimononal submajor second, which is also the octave-reduced 29th subharmonic. It is flat of the Pythagorean whole tone (9/8) by 261/256 (~33 ¢), and flat of the classical whole tone (10/9) by 145/144 (~12 ¢).
Approximation
This interval is very accurately approximated by 7edo (1\7). It is approximately a cent away from it.