Undim comma: Difference between revisions

The '''undim comma''' ({{monzo|legend=1| 41 -20 -4 }}, [[ratio]]: 2199023255552/2179240250625) is a [[small comma|small]] [[5-limit]] [[comma]] of about 15.645 [[cent]]s. It is the amount by which a stack of four [[1215/1024|ptolemaic augmented seconds (1215/1024)]] falls short of the [[octave]].  

[[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 [[schisma]]s. See [[Undim family]] for the family of temperament where it is tempered out.  

This comma was named by [[Petr Pařízek]] in 2011 in terms of the corresponding temperament, undim<ref>See [[Undim family]] for sources.</ref>.