Sensipent comma: Difference between revisions

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78732/78125 = |2 9 -7~~>~~, the ~~sensipent comma or~~ medium semicomma, is ~~an interval~~ of 13.~~399 cents which~~ is the amount by which ~~the difference between~~ seven minor thirds ~~minus~~ two fourths ~~exceeds~~ an octave, in other words (6/5)^7/(4/3)^2/2. Tempering it out leads to [[~~Sensipent_family#Sensipent|~~sensipent temperament]].

{{Infobox Interval

| Ratio = 78732/78125

| Name = sensipent comma, medium semicomma

| Color name = g72, Sepgu comma

| Comma = yes

}}

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]])7/(([[4/3]])2×[[2/1|2]]). Equivalently, it is also equal to ([[6/5]])5/(([[10/9]])2×[[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]]

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-/78125 = |2 9 -7&gt;, the  sensipent comma or medium semicomma, is an interval of 13.399 cents which is the amount by which the difference between seven minor thirds minus two fourths exceeds an octave, in other words (6/5)^7/(4/3)^2/2. Tempering it out leads to [[Sensipent_family#Sensipent|sensipent temperament]].
+{{Infobox Interval
+| Ratio = 78732/78125
+| Name = sensipent comma, medium semicomma
+| Color name = g<sup>7</sup>2, Sepgu comma
+| Comma = yes
+}}
+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]]

Sensipent comma: Difference between revisions

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