99/64

Interval information

Ratio

99/64

Factorization

2^-6 × 3² × 11

Monzo

[-6 2 0 0 1⟩

Size in cents

755.2279¢

Names

undecimal superfifth,
undecimal major fifth,
Alpharabian paramajor fifth,
just paramajor fifth

FJS name

[math]\displaystyle{ \text{P5}^{11} }[/math]

Special properties

reduced,
reduced harmonic

Tenney height (log₂ nd)

12.6294

Weil height (log₂ max(n, d))

13.2587

Wilson height (sopfr(nd))

29

Open this interval in xen-calc

In 11-limit just intonation, 99/64 is an undecimal superfifth of about 755.2 ¢. This interval is also known as the undecimal major fifth through analogy with 16/11 being the "minor fifth" as named by Ivan Wyschnegradsky, and can additionally be somewhat similarly dubbed the Alpharabian paramajor fifth or even the just paramajor fifth. It is distinguished from the simpler 17/11 by the twosquare comma (1089/1088). Despite being relatively more complex, 99/64 is actually pretty useful as an interval for those who work more extensively with the 11-limit.

Approximation

This interval is especially close to the 17th step of 27edo.

99/64

Approximation

See also