135/112
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Ratio | 135/112 |
Factorization | 2^{-4} × 3^{3} × 5 × 7^{-1} |
Monzo | [-4 3 1 -1⟩ |
Size in cents | 323.35281¢ |
Names | septimal wide minor third, marvelous minor third |
Color name | ry2, ruyo 2nd |
FJS name | [math]\text{A2}^{5}_{7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 13.8842 |
Weil height (log_{2} max(n, d)) | 14.1536 |
Wilson height (sopfr (nd)) | 29 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.14223 bits |
open this interval in xen-calc |
135/112, the septimal wide minor third, or marvelous minor third, is a 7-limit interval which has the distinction of being almost half of a 16/11 minor fifth- in fact, a stack of two 135/112 differs from 16/11 by 200704/200475, a comma less than two cents in size. As the octave complement of 224/135 this interval functionally doubles as a type of augmented second, nevertheless, because of the relationship between 135/112 and 16/11, one can easily form a triad consisting of 1/1-135/112-16/11, to which one can then add 135/77 as a seventh.
See also
- 224/135 -- its octave complement
- 56/45 -- its fifth complement
- Gallery of just intervals