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
Color name	Lyy6, layoyo 6th
FJS name	[math]\text{A6}^{5,5}[/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
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~4.12647 bits
[sound info]
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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.

See also

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