151263/151250: Difference between revisions

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{{Infobox Interval|Comma=yes|Name=odiheim comma, odiheim|Color name = luluquinzo-aquadgu 4th, 1uuz^5g^44}}
{{Infobox Interval
|Comma=yes
|Name=odiheim comma, odiheim
|Color name = luluquinzo-aquadgu 4th, 1uuz^5g^44
}}


'''151263/151250''', the '''odiheim comma''' or '''odiheim''', is an [[11-limit]] unnoticeable comma. It is expressible as ([[2401/2400]])/([[3025/3024]]), and also represents the difference between [[63/50]] and a stack of two [[55/49]]s, which is notable due to 55/49 being a very good approximation of one step of [[6edo]], and 63/50 being the same for [[3edo]]; therefore this comma  is tempered out in a number of [[6th-octave temperaments]].
'''151263/151250''', the '''odiheim comma''' or '''odiheim''', is an [[11-limit]] unnoticeable comma. It is expressible as ([[2401/2400]])/([[3025/3024]]), and also represents the difference between [[63/50]] and a stack of two [[55/49]]s, which is notable due to 55/49 being a very good approximation of one step of [[6edo]], and 63/50 being the same for [[3edo]]; therefore this comma  is tempered out in a number of [[6th-octave temperaments]].
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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 ==
== Etymology ==
This comma has been listed as “odiheim” on the “[[unnoticeable comma]]” page, ever since the day that page was created in October 2016.
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.  


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.
== Notes ==


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

Revision as of 13:30, 14 December 2024

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¢
Names odiheim comma,
odiheim
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 height (log2 nd) 34.4133
Weil height (log2 max(n, d)) 34.4134
Wilson height (sopfr(nd)) 85
Comma size unnoticeable
Open this interval in xen-calc

151263/151250, the odiheim comma or odiheim, is an 11-limit unnoticeable comma. It is expressible as (2401/2400)/(3025/3024), and also represents the difference between 63/50 and a stack of two 55/49s, which is notable due to 55/49 being a very good approximation of one step of 6edo, and 63/50 being the same for 3edo; therefore this comma is tempered out in a number of 6th-octave temperaments.

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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