54/29

Interval information

Ratio	54/29
Subgroup monzo	2.3.29 [1 3 -1⟩
Size in cents	1076.288¢
Name	vicesimononal submajor seventh
Color name	29u7, twenu 7th
FJS name	[math]\text{M7}_{29}[/math]
Special properties	reduced
Tenney height (log2 nd)	10.6129
Weil height (log2 max(n, d))	11.5098
Wilson height (sopfr(nd))	40
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.22253 bits
open this interval in xen-calc

In 29-limit just intonation, 54/29 is the vicesimononal submajor seventh. It is flat of the Pythagorean major seventh (243/128) by 261/256 (~33 ¢), and flat of the classical major seventh (15/8) by 145/144 (~12 ¢).

See also

• 29/27 – its octave complement
• 29/18 – its twelfth complement