99/64
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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
Color name
1o5, ilo 5th
FJS name
[math]\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
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.24979 bits
open this interval in xen-calc
| Interval information |
undecimal major fifth,
Alpharabian paramajor fifth,
just paramajor fifth
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.