99/64
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Ratio | 99/64 |
Factorization | 2^{-6} × 3^{2} × 11 |
Monzo | [-6 2 0 0 1⟩ |
Size in cents | 755.22794¢ |
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 (log_{2} nd) | 12.6294 |
Weil height (log_{2} max(n, d)) | 13.2587 |
Wilson height (sopfr (nd)) | 29 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.60865 bits |
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.