1287/1280
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Ratio | 1287/1280 |
Factorization | 2^{-8} × 3^{2} × 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 (log_{2} nd) | 20.6517 |
Weil height (log_{2} max(n, d)) | 20.6596 |
Wilson height (sopfr (nd)) | 51 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.98934 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.