225/128
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Ratio | 225/128 |
Factorization | 2^{-7} × 3^{2} × 5^{2} |
Monzo | [-7 2 2⟩ |
Size in cents | 976.53743¢ |
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 (log_{2} nd) | 14.8138 |
Weil height (log_{2} 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 |
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