128/99
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Ratio
128/99
Factorization
27 × 3-2 × 11-1
Monzo
[7 -2 0 0 -1⟩
Size in cents
444.7721¢
Names
undecimal subfourth,
undecimal minor fourth,
Alpharabian paraminor fourth,
just paraminor fourth
Color name
1u4, lu 4th
FJS name
[math]\text{P4}_{11}[/math]
Special properties
reduced,
reduced subharmonic
Tenney height (log2 nd)
13.6294
Weil height (log2 max(n, d))
14
Wilson height (sopfr(nd))
31
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.21582 bits
open this interval in xen-calc
| Interval information |
undecimal minor fourth,
Alpharabian paraminor fourth,
just paraminor fourth
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
In 11-limit just intonation, 128/99 is an undecimal subfourth measuring about 444.8¢. It is the inversion of 99/64, the undecimal superfifth. This interval is also known as the undecimal minor fourth through analogy with 11/8 being the "major fourth" as named by Ivan Wyschnegradsky, and can additionally be somewhat similarly dubbed the Alpharabian paraminor fourth or even the just paraminor fourth. It is distinguished from the simpler 22/17 by the twosquare comma.
Approximation
This interval is especially close to the 10th step of 27edo.