Sinarabian comma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older editNewer edit →
VisualWikitext
Aura (talk | contribs)
autopatrolled, emailconfirmed
5,920 edits
No edit summary
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
18,215 edits
m Added line breaks, added etymology subheading, added etymology category
Line 6: Line 6:
}}
}}


The '''Sinarabian comma''' is an [[13-limit]] (also 2.3.11.13 subgroup) [[unnoticeable comma]] with a ratio of '''85293/85184''' and a value of approximately 2 cents. This comma is identifiable as the amount by which a stack of two [[88/81]] artoneutral seconds falls short of a [[13/11]] Neo-Gothic minor third, and also the amount by which a stack of three [[11/9]] artoneutral thirds fall short of [[117/64]], and even the comma that separates [[1053/1024]] and [[1331/1296]]. In terms of comma relations, it separates [[243/242]] from [[352/351]], separates [[144/143]] from a stack of two instances of 243/242, and, is the sum of the [[frameshift comma]] and the [[tridecapyth comma]]. The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of a variety of implications, the details of which will be added to this article later.
The '''Sinarabian comma''' is an [[13-limit]] (also 2.3.11.13 subgroup) [[unnoticeable comma]] with a ratio of '''85293/85184''' and a value of approximately 2 cents.  
 
This comma is identifiable as the amount by which a stack of two [[88/81]] artoneutral seconds falls short of a [[13/11]] Neo-Gothic minor third, and also the amount by which a stack of three [[11/9]] artoneutral thirds fall short of [[117/64]], and even the comma that separates [[1053/1024]] and [[1331/1296]].  
 
In terms of comma relations, it separates [[243/242]] from [[352/351]], separates [[144/143]] from a stack of two instances of 243/242, and, is the sum of the [[frameshift comma]] and the [[tridecapyth comma]].  
 
== Etymology ==
The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by [[Aura]] on the basis of a series of connections between intervals that he found and shared with [[Margo Schulter]], who took note of a variety of implications, the details of which will be added to this article later.
 
[[Category:Commas named after polymaths]]

Revision as of 07:12, 17 January 2025

Interval information
Ratio 85293/85184
Factorization 2-6 × 38 × 11-3 × 13
Monzo [-6 8 0 0 -3 1⟩
Size in cents 2.213842¢
Name Sinarabian comma
Color name lathotrilu unison
FJS name [math]\displaystyle{ \text{A1}^{13}_{11,11,11} }[/math]
Special properties reduced
Tenney height (log2 nd) 32.7584
Weil height (log2 max(n, d)) 32.7603
Wilson height (sopfr(nd)) 82
Comma size unnoticeable
Open this interval in xen-calc

The Sinarabian comma is an 13-limit (also 2.3.11.13 subgroup) unnoticeable comma with a ratio of 85293/85184 and a value of approximately 2 cents.

This comma is identifiable as the amount by which a stack of two 88/81 artoneutral seconds falls short of a 13/11 Neo-Gothic minor third, and also the amount by which a stack of three 11/9 artoneutral thirds fall short of 117/64, and even the comma that separates 1053/1024 and 1331/1296.

In terms of comma relations, it separates 243/242 from 352/351, separates 144/143 from a stack of two instances of 243/242, and, is the sum of the frameshift comma and the tridecapyth comma.

Etymology

The name of this comma comes from a portmanteau of "Ibn Sina" and "Alpharabian", and was given by Aura on the basis of a series of connections between intervals that he found and shared with Margo Schulter, who took note of a variety of implications, the details of which will be added to this article later.

Retrieved from "https://en.xen.wiki/index.php?title=Sinarabian_comma&oldid=176633"