1287/1280
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| Ratio | 1287/1280 |
| Factorization | 2-8 × 32 × 5-1 × 11 × 13 |
| Monzo | [-8 2 -1 0 1 1⟩ |
| Size in cents | 9.441892¢ |
| Name | catadictma |
| Color name | 3o1og1, thologu 1sn, Thologu comma |
| FJS name | [math]\text{d1}^{11,13}_{5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 20.6517 |
| Weil height (log2 max(n, d)) | 20.6596 |
| Wilson height (sopfr (nd)) | 51 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.76123 bits |
| Comma size | small |
| open this interval in xen-calc | |
1287/1280, the catadictma, is a 13-limit small comma. It is the amount by which a stack consisting of 16/11 and 16/13 falls short of 9/5. It can be factored into simpler commas as (351/350)(385/384), or as (225/224)(1001/1000). In terms of superparticulars, it is (33/32)/(40/39). By tempering it out is defined the catadictmic temperament, which enables the catadictmic chords. Adding 676/675 lets you efficiently incorporate 11-limit harmony into barbados chords.