151263/151250: Difference between revisions

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condense and clarify relationship to 6th-octave temperaments
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{{Infobox Interval|Comma=yes|Name=odiheim comma, odiheim|Color name = luluquinzo-aquadgu 4th, 1uuz^5g^44}}
{{Infobox Interval
| Name = odiheim comma
| Color name = luluquinzo-aquadgu 4th, 1uuz^5g^44
| Comma = yes
}}
'''151263/151250''', the '''odiheim comma''', is an [[unnoticeable comma|unnoticeable]] [[11-limit]] [[comma]]. It is expressible as ([[2401/2400]])/([[3025/3024]]), and is also the difference between [[63/50]] and a stack of two [[55/49]]'s. 55/49 is very close to [[6edo|1\6]], and 63/50 to [[3edo|1\3]], so this comma  is tempered out in a number of [[6th-octave temperaments]] (although it does not define such temperaments on its own).


'''151263/151250''', the '''odiheim comma''' or '''odiheim''', is an [[11-limit]] unnoticeable comma.
== Temperaments ==
== Temperaments ==
It is tempered out by notable edos like [[270edo]], [[342edo]], [[1578edo]] and [[1848edo]].
It is tempered out by notable edos like [[270edo]], [[342edo]], [[1578edo]] and [[1848edo]].
== History ==
This comma has been listed as “odiheim” on the “[[unnoticeable comma]]” page, ever since the day that page was created in October 2016.


That page never specified who coined the name, nor did it say why the name was given or if/how it relates to the comma’s properties. All of that appears to be unknown at this stage and may remain a mystery.
== Etymology ==
This comma was presumably named by [[Gene Ward Smith]] in 2011 since it seems this wiki was the place where it made its first appearance<ref>[https://en.xen.wiki/index.php?title=Small_comma&oldid=13535 See ''Small comma'' (Revision as of 17:07, 30 June 2011 by Wikispaces>genewardsmith)]</ref>. The name is a contraction of [[odin]] and [[heimdall]], the two notable rank-3 temperaments where the comma is tempered out.  


{{stub}}
== Notes ==
[[Category:Commas with unknown etymology]]
 
[[Category:Commas named by combining multiple temperament names]]

Latest revision as of 18:22, 4 July 2026

Interval information
Ratio 151263/151250
Factorization 2-1 × 32 × 5-4 × 75 × 11-2
Monzo [-1 2 -4 5 -2⟩
Size in cents 0.1487939¢
Name odiheim comma
Color name luluquinzo-aquadgu 4th, 1uuz^5g^44
FJS name [math]\displaystyle{ \text{ddd4}^{7,7,7,7,7}_{5,5,5,5,11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 34.4133
Weil norm (log2 max(n, d)) 34.4134
Wilson norm (sopfr(nd)) 85
Comma size unnoticeable
Open this interval in xen-calc

151263/151250, the odiheim comma, is an unnoticeable 11-limit comma. It is expressible as (2401/2400)/(3025/3024), and is also the difference between 63/50 and a stack of two 55/49's. 55/49 is very close to 1\6, and 63/50 to 1\3, so this comma is tempered out in a number of 6th-octave temperaments (although it does not define such temperaments on its own).

Temperaments

It is tempered out by notable edos like 270edo, 342edo, 1578edo and 1848edo.

Etymology

This comma was presumably named by Gene Ward Smith in 2011 since it seems this wiki was the place where it made its first appearance[1]. The name is a contraction of odin and heimdall, the two notable rank-3 temperaments where the comma is tempered out.

Notes

  1. ↑ See Small comma (Revision as of 17:07, 30 June 2011 by Wikispaces>genewardsmith)
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