225/128
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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]
open this interval in xen-calc
| Interval information |
Neapolitan augmented sixth
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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