Undim comma

Interval information

Factorization	241 × 3-20 × 5-4
Monzo	[41 -20 -4⟩
Size in cents	15.64513¢
Name	Undim comma
FJS name	[math]\displaystyle{ \text{5d4}_{5,5,5,5} }[/math]
Special properties	reduced, reduced subharmonic
Tenney norm (log2 nd)	81.987
Weil norm (log2 max(n, d))	82
Wilson norm (sopfr(nd))	162
Comma size	small
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The undim comma (monzo: [41 -20 -4⟩, ratio: 2199023255552/2179240250625) is a small 5-limit comma of about 15.645 cents. It is the amount by which a stack of four ptolemaic augmented seconds (1215/1024) falls short of the octave.

Temperaments

Tempering out this comma results in the 5-limit version of the undim temperament. This temperament is notably a member of the schismic-Pythagorean equivalence continuum, with n = 4. In other words, it equates the Pythagorean comma with a stack of four schismas. See Undim family for the family of temperament where it is tempered out.