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{nd}[/math])
~1.98934 bits
Comma size
small
open this interval in xen-calc
| Interval information |
Thologu comma
(Shannon, [math]\sqrt{nd}[/math])
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.