60/49

From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 60/49
Factorization 22 × 3 × 5 × 7-2
Monzo [2 1 1 -2
Size in cents 350.6169¢
Name smaller septimal neutral third
Color name rry2, ruruyo 2nd
FJS name [math]\text{A2}^{5}_{7,7}[/math]
Special properties reduced
Tenney height (log2 nd) 11.5216
Weil height (log2 max(n, d)) 11.8138
Wilson height (sopfr (nd)) 26
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.26126 bits

[sound info]
open this interval in xen-calc

60/49, the smaller septimal neutral third, is only 2401/2400 (0.72 ¢) flat of 49/40, the larger septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 540/539 (3.2 ¢) sharp of 11/9, and this is one of the ways 11-limit harmony is introduced into 7-limit scales. In particular, it is the interval between 7/6 and 10/7.

See also