Sensipent comma: Difference between revisions
Jump to navigation
Jump to search
m Chanched "and" to "minus", to invert an interval |
Rework the equations; sectioning; + links |
||
| (14 intermediate revisions by 9 users not shown) | |||
| Line 1: | Line 1: | ||
78732/78125 = |2 9 -7 | {{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]] | |||
Latest revision as of 16:36, 1 October 2026
| Interval information |
medium semicomma
The sensipent comma (ratio: 78732/78125, monzo: [2 9 -7⟩), also known as the medium semicomma, is small 5-limit comma of about 13.4 cents. It is the amount by which a stack of seven classical minor thirds exceeds two perfect fourths and an octave, in other words (6/5)7/((4/3)2×2). Equivalently, it is also equal to (6/5)5/((10/9)2×2). 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.