Undim comma: Difference between revisions
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The '''undim comma''' is | 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]]. | ||
== 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 [[schisma]]s. See [[Undim family]] for the family of temperament where it is tempered out. | |||
[[Category:Undim]] | |||
[[Category:Commas with unknown etymology]] | [[Category:Commas with unknown etymology]] | ||
Revision as of 18:19, 12 November 2024
| Interval information |
reduced subharmonic
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.