750/749

This page presents a topic of primarily mathematical interest. While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown.

Interval information

Ratio	750/749
Subgroup monzo	2.3.5.7.107 [1 1 3 -1 -1⟩
Size in cents	2.309852¢
Name	ancient Chinese tempering comma
Color name	107ury3-2
FJS name	[math]\displaystyle{ \text{d}{-2}^{5,5,5}_{7,107} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	19.0996
Weil height (log2 max(n, d))	19.1015
Wilson height (sopfr(nd))	134
Comma size	unnoticeable
Open this interval in xen-calc

750/749 is a 107-limit superparticular interval measuring 2.31 cents. It is known as the ancient Chinese tempering comma. The perfect fifth of 12edo is approximated by 749/500 = 1.498 as frequency ratio, and thus can be approximated by flattening 3/2 by this comma.

See also

• List of superparticular intervals