6561/4096

Interval information

Ratio

6561/4096

Factorization

2^-12 × 3⁸

Monzo

[-12 8⟩

Size in cents

815.64¢

Names

Pythagorean augmented fifth,
tetratone

Color name

Lw5, lawa 5th

FJS name

[math]\displaystyle{ \text{A5} }[/math]

Special properties

reduced,
reduced harmonic

Tenney height (log₂ nd)

24.6797

Weil height (log₂ max(n, d))

25.3594

Wilson height (sopfr(nd))

48

Open this interval in xen-calc

The Pythagorean augmented fifth, 6561/4096, may be reached by stacking two 81/64 intervals. The Medieval music theorist Jacques de Liège referred to it as the tetratone (akin to the ditone and tritone), as it may be reached by stacking four (Pythagorean whole) tones (9/8). It differs from 8/5 by the schisma, and from 3/2 by the apotome.

6561/4096

See also