Rin comma: Difference between revisions

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Created page with "{{Infobox interval | Color name=zg11 -ma | Comma=yes | Name=Rin comma | FJS name = - | Ratio=1977326743/1953125000 }} The '''rin comma''', '''1977326743/1953125000''' = {{monzo| -3 0 -12 11 }}, is a 2.5.7-subgroup comma measuring about 21.32 cents. It is the comma which equates 5/4 with a stack of eleven 7/5s. == Etymology == It was named by Kaisei in 2026 from kanji of '''隣(rin)''', meaning “neighboring” or “adjacent”, since..."
 
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The '''rin comma''', '''1977326743/1953125000''' = {{monzo| -3 0 -12 11 }}, is a 2.5.7-subgroup comma measuring about 21.32 cents.  
The '''rin comma''', '''1977326743/1953125000''' = {{monzo| -3 0 -12 11 }}, is a [[2.5.7 subgroup]] comma measuring about 21.32 cents.  
It is the comma which equates [[5/4]] with a stack of eleven [[7/5]]s.
It is the comma which a stack of eleven [[7/5]]s exceeds a stack of five octaves and a [[5/4]].


== Etymology ==
== Etymology ==

Revision as of 15:39, 28 June 2026

Interval information
Ratio 1977326743/1953125000
Factorization 2-3 × 5-12 × 711
Monzo [-3 0 -12 11
Size in cents 21.3204 ¢
Name Rin comma
Color name zg11 -ma
FJS name [math]\displaystyle{ - }[/math]
Special properties reduced
Tenney norm (log2 nd) 61.744
Weil norm (log2 max(n, d)) 61.7618
Wilson norm (sopfr(nd)) 143
Comma size small
Open this interval in xen-calc

The rin comma, 1977326743/1953125000 = [-3 0 -12 11, is a 2.5.7 subgroup comma measuring about 21.32 cents. It is the comma which a stack of eleven 7/5s exceeds a stack of five octaves and a 5/4.

Etymology

It was named by Kaisei in 2026 from kanji of 隣(rin), meaning “neighboring” or “adjacent”, since it was found while investigating approximations to 5/4 generated by stacks of adjacent-prime ratios(e.g. 7/5, 11/7).