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Interval information
Ratio 256/225
Factorization 28 × 3-2 × 5-2
Monzo [8 -2 -2
Size in cents 223.46257¢
Names marvel five-limit subharmonic second,
Neapolitan diminished third
Color name sgg3, sagugu 3rd
FJS name [math]\text{d3}_{5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 15.8138
Weil height (log2 max(n, d)) 16
Wilson height (sopfr (nd)) 32
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.19395 bits

[sound info]
open this interval in xen-calc

256/225, the marvel five-limit subharmonic second, is the interval that results from stacking two 16/15 minor seconds, and, on account of this interval occurring in precisely this manner in Neapolitan scales, this interval can also be referred to as as the Neapolitan diminished third. It is a marvel comma (225/224) flat of the subharmonic second, 8/7, and so tempering out 225/224, which is marvel temperament, equates the two.

See also