32/29

Interval information

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]\displaystyle{ \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]\displaystyle{ \sqrt{nd} }[/math])	~4.21629 bits
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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.

See also

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