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Interval information
Ratio 243/176
Factorization 2-4 × 35 × 11-1
Monzo [-4 5 0 0 -1
Size in cents 558.45706¢
Name Alpharabian infra-augmented fourth
Color name L1u4, lalu 4th
FJS name [math]\text{A4}_{11}[/math]
Special properties reduced
Tenney height (log2 nd) 15.3842
Weil height (log2 max(n, d)) 15.8496
Wilson height (sopfr (nd)) 34
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.57962 bits
open this interval in xen-calc

243/176, the Alpharabian infra-augmented fourth is an 11-limit interval that differs from 11/8 by 243/242. The term "infra-augmented" in the name of this interval comes from the fact that this interval is created by subtracting the 33/32 quartertone from 729/512, the Pythagorean augmented fourth.

See also