Semiporwellisma

Interval information

Ratio	16384/16335
Factorization	214 × 3-3 × 5-1 × 11-2
Monzo	[14 -3 -1 0 -2⟩
Size in cents	5.185399¢
Name	semiporwellisma
FJS name	[math]\displaystyle{ \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
Comma size	small
S-expression	S31 * S322
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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