Semiporwellisma
(Redirected from 16384/16335)
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Ratio | 16384/16335 |
Factorization | 2^{14} × 3^{-3} × 5^{-1} × 11^{-2} |
Monzo | [14 -3 -1 0 -2⟩ |
Size in cents | 5.1853988¢ |
Name | semiporwellisma |
Color name | s1uug2, Salulugu comma |
FJS name | [math]\text{m2}_{5,11,11}[/math] |
Special properties | reduced, reduced subharmonic |
Tenney height (log_{2} nd) | 27.9957 |
Weil height (log_{2} max(n, d)) | 28 |
Wilson height (sopfr (nd)) | 64 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.51385 bits |
Comma size | small |
S-expression | S31 * S32^{2} |
open this interval in xen-calc |
The semiporwellisma, 16384/16335 = [14 -3 -1 0 -2⟩ is an 11-limit comma measuring about 5.19 cents, named for it is one of the commas tempered out in the semiporwell temperament. It is the difference between two instances of 33/32, the undecimal quartertone, and 16/15, the classic diatonic semitone.
In terms of commas, it is the difference between 896/891 and 385/384.
Temperaments
Tempering it out leads to the rank-4 semiporwellismic temperament, where an octave can be split into 33/32-15/8-33/32.
See also
- Rank-4 temperament #Semiporwellismic (16384/16335)
- Semiporwellismic clan, the clan of rank-3 temperaments where it is tempered out
- Small comma