From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 32/29
Subgroup monzo 2.29 [5 -1
Size in cents 170.42281¢
Names vicesimononal submajor second,
octave-reduced 29th subharmonic
Color name twenu 2nd, 29u2
FJS name [math]\text{M2}_{29}[/math]
Special properties reduced
Tenney height (log2 nd) 9.85798
Weil height (log2 max(n, d)) 10
Wilson height (sopfr (nd)) 39
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.58821 bits
open this interval in xen-calc

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 ¢).


This interval is very accurately approximated by 7edo (1\7). It is approximately a cent away from it.

See also

  • 29/16 – its octave complement
  • 29/24 – its fifth complement