226/225

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	226/225
Subgroup monzo	2.3.5.113 [1 -2 -2 1⟩
Size in cents	7.677325¢
Name	reversed marvel comma
Color name	113ogg2
FJS name	[math]\displaystyle{ \text{d2}^{113}_{5,5} }[/math]
Special properties	superparticular, reduced
Tenney height (log2 nd)	15.634
Weil height (log2 max(n, d))	15.6404
Wilson height (sopfr(nd))	131
Comma size	small
Open this interval in xen-calc

226/225 is a 2.3.5.113 subgroup comma measuring 7.68 cents. It is the amount by which the octave-reduced 113th harmonic (113/64) exceeds the classic augmented sixth of 225/128, and differs from the marvel comma (225/224) by 50625/50624 (S225, ~0.0342¢). It is the parent comma for the reversed marvel temperaments.

Temperaments

In the 2.3.5.113 subgroup, tempering out this comma results in the reversed marvel temperament. By substituting the 7th harmonic out for the 113th harmonic in the marvel temperament, it results in sharper 3rd and 5th harmonics, rather than flatter.

See also

• Small comma
• List of superparticular intervals