256/225: Difference between revisions

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'''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.
'''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. It is also [[5632/5625]] sharp of [[25/22]].


== See also ==
== See also ==

Revision as of 23:32, 15 January 2026

Interval information
Ratio 256/225
Factorization 28 × 3-2 × 5-2
Monzo [8 -2 -2
Size in cents 223.4626¢
Names marvel five-limit subharmonic second,
Neapolitan diminished third
Color name sgg3, sagugu 3rd
FJS name [math]\displaystyle{ \text{d3}_{5,5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 15.8138
Weil norm (log2 max(n, d)) 16
Wilson norm (sopfr(nd)) 32

[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. It is also 5632/5625 sharp of 25/22.

See also