512/297

Interval information

Ratio	512/297
Factorization	29 × 3-3 × 11-1
Monzo	[9 -3 0 0 -1⟩
Size in cents	942.8171¢
Name	Alpharabian inframinor seventh
Color name	s1u7, salu 7th
FJS name	[math]\displaystyle{ \text{m7}_{11} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	17.2143
Weil height (log2 max(n, d))	18
Wilson height (sopfr(nd))	38
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.2432 bits
Open this interval in xen-calc

512/297, the Alpharabian inframinor seventh, is the basic inframinor seventh in the 2.3.11 subgroup. It differs from the 19/11 undevicesimal semitwelfth by 513/512, and differs from 12/7 by 896/891. As suggested by its name, it is reached by subtracting a 33/32 quartertone from 16/9. This particular interval is particularly useful as and added seventh to 11-limit tertian chords.

Among the more reasonably sized large EDOs that represent this interval and other intervals in its class- such as 8192/8019, 1024/891 and 4096/2673- with a pretty good level of accuracy include 159edo.

See also

• 297/256 – its octave complement
• Gallery of just intervals