Sensipent comma: Difference between revisions

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'''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]].
{{Infobox Interval
| Ratio = 78732/78125
| Name = sensipent comma
| Color name = g<sup>7</sup>2, Sepgu comma
| 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 ([[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 3 [[27/25]]s. Tempering it out leads to [[Sensipent_family#Sensipent|sensipent temperament]].


[[Category:5-limit]]
[[Category:Sensipent]]
[[Category:Small commas]]
[[Category:Commas named for the generator of their temperament]]

Latest revision as of 04:59, 14 April 2025

Interval information
Ratio 78732/78125
Factorization 22 × 39 × 5-7
Monzo [2 9 -7
Size in cents 13.39901¢
Name sensipent comma
Color name g72, Sepgu comma
FJS name [math]\displaystyle{ \text{dd2}_{5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney height (log2 nd) 32.5182
Weil height (log2 max(n, d)) 32.5293
Wilson height (sopfr(nd)) 66
Comma size small
Open this interval in xen-calc

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 and two fourths exceeds 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 3 27/25s. Tempering it out leads to sensipent temperament.