29/16

Interval information

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]
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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