Phaotic comma

Interval information

Ratio

256000/255879

Factorization

2¹¹ × 3^-9 × 5³ × 13^-1

Monzo

[11 -9 3 0 0 -1⟩

Size in cents

0.818472¢

Names

phaotic comma,
phaotisma

FJS name

[math]\displaystyle{ \text{A1}^{5,5,5}_{13} }[/math]

Special properties

reduced

Tenney height (log₂ nd)

35.9309

Weil height (log₂ max(n, d))

35.9316

Wilson height (sopfr(nd))

77

Open this interval in xen-calc

The phaotic comma, or phaotisma, is an unnoticeable 13-limit comma with a ratio of 256000/255879, and a size of approximately 0.82 cents. It is significant in that it is the interval separating a stack of two meantone commas from 40/39. Tempering it out thus splits 40/39 into two equal halves, each representing 81/80, leads to a form of phaotic temperament.