41-comma: Difference between revisions

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{{monzo|65 -41}}, the '''41-comma''', is an interval of 19.845 [[cent]]s. It is the amount by which 41 fifths ([[3/2]]) fall short of 24 [[octave]]s, in other words 2<sup>24</sup>/(3/2)<sup>41</sup>. For equal divisions N up to 1230, the comma is tempered out if and only if 41 divides N. Examples are [[41edo]], [[164edo]], [[205edo]], [[246edo]], [[328edo]] and [[369edo]].
{{Infobox Interval
| Icon =
| Ratio = 36893488147419103232 / 36472996377170786403
| Monzo = 65 -41
| Cents = 19.84496
| Name = 41-comma, <br>41-3-comma
| Color name =
| FJS name =
| Sound =
}}
 
{{monzo|65 -41}}, the '''41-comma''', is an interval of 19.845 [[cent]]s. It is the amount by which 41 fifths ([[3/2]]) fall short of 24 [[octave]]s, in other words 2<sup>24</sup>/(3/2)<sup>41</sup>. For equal divisions ''N'' up to 1230, the comma is tempered out if and only if 41 divides ''N''. Examples are [[41edo]], [[164edo]], [[205edo]], [[246edo]], [[328edo]] and [[369edo]].


== See also ==
== See also ==
* [[Comma]]
* [[Comma]]


[[Category:3-limit]]
[[Category:3-limit]]
[[Category:Small comma]]
[[Category:Small comma]]

Revision as of 08:11, 3 April 2021

Interval information
Ratio 36893488147419103232 / 36472996377170786403
Factorization 265 × 3-41
Monzo [65 -41
Size in cents 19.84496¢
Names 41-comma,
41-3-comma
FJS name [math]\displaystyle{ \text{6d5} }[/math]
Special properties reduced,
reduced subharmonic
Tenney norm (log2 nd) 129.983
Weil norm (log2 max(n, d)) 130
Wilson norm (sopfr(nd)) 253
Open this interval in xen-calc

[65 -41, the 41-comma, is an interval of 19.845 cents. It is the amount by which 41 fifths (3/2) fall short of 24 octaves, in other words 224/(3/2)41. For equal divisions N up to 1230, the comma is tempered out if and only if 41 divides N. Examples are 41edo, 164edo, 205edo, 246edo, 328edo and 369edo.

See also