512/297

From Xenharmonic Wiki
Jump to navigation Jump to search
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]\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]\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.

See also