225/128

Interval information

Ratio	225/128
Factorization	2-7 × 32 × 52
Monzo	[-7 2 2⟩
Size in cents	976.5374¢
Names	marvel five-limit harmonic seventh, Neapolitan augmented sixth
FJS name	[math]\displaystyle{ \text{A6}^{25} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	14.8138
Weil height (log2 max(n, d))	15.6276
Wilson height (sopfr(nd))	30
[sound info]
Open this interval in xen-calc

The marvel five-limit harmonic seventh is the interval 225/128. It is the interval between the 5-limit minor second, 16/15, and the major seventh, 15/8, and, on account of this interval occurring in precisely this capacity in just Neapolitan scales, this interval can also be referred to as as the Neapolitan augmented sixth. It is a marvel comma, 225/224, sharp of the harmonic seventh, 7/4, and so tempering out 225/224, which is marvel temperament, equates the two. Marvel tempering is a useful method of tempering the 5-limit to include septimal harmony, making two minor seconds a supermajor second, 8/7 and two major seconds into 7/6.

See also

• 256/225 - its octave complement
• Gallery of just intervals
• File:Ji-225-128-csound-foscil-220hz.mp3 - another sound example