Sensipent comma: Difference between revisions

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m Infobox Interval added
m Fredg999 moved page 78732/78125 to Sensipent comma over redirect: Revert move (apparently the upper bound was 9 digits)
 
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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]].
'''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:Sensipent]]
[[Category:Commas named for the generator of their temperament]]

Latest revision as of 18:20, 12 July 2026

Interval information
Ratio 78732/78125
Factorization 22 × 39 × 5-7
Monzo [2 9 -7
Size in cents 13.39901¢
Names sensipent comma,
medium semicomma
Color name g72, Sepgu comma
FJS name [math]\displaystyle{ \text{dd2}_{5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 32.5182
Weil norm (log2 max(n, d)) 32.5293
Wilson norm (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.