135/112
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| Ratio | 135/112 |
| Factorization | 2-4 × 33 × 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 (log2 nd) | 13.8842 |
| Weil height (log2 max(n, d)) | 14.1536 |
| Wilson height (sopfr (nd)) | 29 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.52317 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