48/29

Interval information

Ratio	48/29
Subgroup monzo	2.3.29 [4 1 -1⟩
Size in cents	872.3778¢
Name	vicesimononal submajor sixth
Color name	29u6, twenu 6th
FJS name	[math]\text{M6}_{29}[/math]
Special properties	reduced
Tenney height (log2 nd)	10.4429
Weil height (log2 max(n, d))	11.1699
Wilson height (sopfr(nd))	40
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.08662 bits
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In 29-limit just intonation, 48/29 is the vicesimononal submajor sixth. It is flat of the Pythagorean major sixth (27/16) by 261/256 (~33 ¢), and flat of the classical major sixth (5/3) by 145/144 (~12 ¢).

Approximation

This interval is very accurately approximated by 11edo (8\11), with an error of less than half a cent.

See also

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