750/749

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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
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~1.24881 bits
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