Sensipent comma: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 78732/78125
| Ratio = 78732/78125
| Name = sensipent comma
| Name = sensipent comma, medium semicomma
| Color name = g<sup>7</sup>2, Sepgu comma
| Comma = yes
| Comma = yes
}}
}}
'''78732/78125''' = {{Monzo| 2 9 -7 }}, the '''sensipent comma''' or medium semicomma, is an interval of 13.399 [[cent]]s which is the amount by which the difference between seven minor thirds and two fourths [[octave reduction|exceeds an octave]], in other words <code style="white-space: nowrap;">(6/5)^7 / (4/3)^2 / 2</code>. Tempering it out leads to [[Sensipent_family#Sensipent|sensipent temperament]].
The '''sensipent comma''' ([[ratio]]: 78732/78125, {{monzo|legend=1| 2 9 -7 }}), also known as the '''medium semicomma''', is [[small comma|small]] [[5-limit]] [[comma]] of about 13.4 [[cent]]s. It is the amount by which a stack of seven [[6/5|classical minor thirds]] exceeds two [[4/3|perfect fourths]] and an [[octave]], in other words ([[6/5]])<sup>7</sup>/(([[4/3]])<sup>2</sup>×[[2/1|2]]). Equivalently, it is also equal to ([[6/5]])<sup>5</sup>/(([[10/9]])<sup>2</sup>×[[2/1|2]]). It is also the difference between [[5/4]] and a stack of three [[27/25]] large limmas.
 
== Temperaments ==
[[Tempering out]] this comma in the 5-limit leads to the [[sensipent]] temperament.
 
See [[Sensipent family]] for the [[family of temperaments]] where it is tempered out.  
 
== See also ==
* [[Syntonic–kleismic equivalence continuum]]
 
[[Category:Sensipent]]
[[Category:Commas named for the generator of their temperament]]