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.

750/749

See also