4-cent comma: Difference between revisions

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m BudjarnLambeth moved page 1953125/1948617 to 4-cent comma: Big comma number
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| Name = 4-cent comma
| Name = 4-cent comma
| Color name = 1uy<sup>9</sup>-2, lutritriyo negative<br>2nd, Lutritriyo comma
| Color name = 1uy<sup>9</sup>-2, lutritriyo negative<br>2nd, Lutritriyo comma
| Ratio = 1953125/1948617
| Comma = yes
| Comma = yes
}}
}}


'''1953125/1948617''', the '''4-cent comma''', is an [[11-limit]] [[small comma]] almost exactly 4 cents in size. It is the difference between a stack of nine [[6/5]] minor thirds (octave-reduced) and a [[128/99]] paraminor fourth.
'''1953125/1948617''', the '''4-cent comma''', is an [[11-limit]] [[small comma]] almost exactly 4 cents in size. It is the difference between a stack of nine [[6/5]] minor thirds (octave-reduced) and a [[128/99]] paraminor fourth.
== Temperament ==
Tempering out this comma in the 3.5.11 subgroup results in a [[rank-2]] temperament.
[[Mapping]]: [(1 1 -2] (0 1 9])
TE tuning map: ~3=1902.102, ~5=2786.056, ~11=4151.382.


== See also ==
== See also ==
* [[Small comma]]
* [[Small comma]]
[[Category:Commas named after their interval size]]

Latest revision as of 11:56, 28 February 2025

Interval information
Ratio 1953125/1948617
Factorization 3-11 × 59 × 11-1
Monzo [0 -11 9 0 -1
Size in cents 4.000473¢
Name 4-cent comma
Color name 1uy9-2, lutritriyo negative
2nd, Lutritriyo comma
FJS name [math]\displaystyle{ \text{ddd}{-2}^{5,5,5,5,5,5,5,5,5}_{11} }[/math]
Special properties reduced
Tenney height (log2 nd) 41.7914
Weil height (log2 max(n, d)) 41.7947
Wilson height (sopfr(nd)) 89
Comma size small
Open this interval in xen-calc

1953125/1948617, the 4-cent comma, is an 11-limit small comma almost exactly 4 cents in size. It is the difference between a stack of nine 6/5 minor thirds (octave-reduced) and a 128/99 paraminor fourth.

Temperament

Tempering out this comma in the 3.5.11 subgroup results in a rank-2 temperament.

Mapping: [(1 1 -2] (0 1 9])

TE tuning map: ~3=1902.102, ~5=2786.056, ~11=4151.382.

See also