Semiporwellisma

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Interval information
Ratio 16384/16335
Factorization 214 × 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 (log2 nd) 27.9957
Weil height (log2 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 * S322
open this interval in xen-calc

The semiporwellisma, 16384/16335 = [14 -3 -1 0 -2 is a small 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. It is also the difference between the rastma and the schisma.

In the full 11-limit, it is the difference between 896/891 and 385/384.

Temperaments

Tempering it out in the full 11-limit leads to the rank-4 semiporwellismic temperament (→ Rank-4 temperament #Semiporwellismic (16384/16335)), or in the 2.3.5.11 subgroup, the rank-3 semiporwellic temperament. See Semiporwellismic clan for extensions of semiporwellic.

Etymology

This comma was named by Flora Canou in 2021 after the semiporwell temperament, which in turn derives from porwell, the 7-limit comma shared by porcupine and orwell.