Rin comma: Difference between revisions

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fixed another formatting thing
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{{Infobox interval
{{Infobox interval
| Color name=11za12gM, lezo-aquadtriguma
| Color name=11za12g8, lezo-aquadtrigu octave
| Comma=yes
| Comma=yes
| Name=Rin comma
| Name=rin comma
| FJS name = -
| Ratio=1977326743/1953125000
| 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.  
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 a stack of eleven [[7/5]]s exceeds a stack of five octaves and a [[5/4]].
It is the comma which a stack of eleven [[7/5]]<nowiki>s</nowiki> exceeds a stack of five octaves and a [[5/4]].


== Etymology ==
== Etymology ==
It was named by [[User:Iii_kaisei_iii|Kaisei]] in 2026  from kanji of '''(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]]).
It was named by [[User:Iii_kaisei_iii|Kaisei]] in 2026  from the Japanese reading of the Chinese character , "rin", meaning “neighboring” or “adjacent”, since it was found while investigating approximations of [[5/4]] generated by stacks of adjacent-prime ratios (e.g. [[7/5]] and [[11/7]]).


[[Category:Rin]]
[[Category:Rin]]
[[Category:Commas named by translating something into another language]]
[[Category:Commas named by translating something into another language]]

Latest revision as of 07:35, 29 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 11za12g8, lezo-aquadtrigu octave
FJS name [math]\displaystyle{ \text{10d8}^{7,7,7,7,7,7,7,7,7,7,7}_{5,5,5,5,5,5,5,5,5,5,5,5} }[/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 the Japanese reading of the Chinese character 隣, "rin", meaning “neighboring” or “adjacent”, since it was found while investigating approximations of 5/4 generated by stacks of adjacent-prime ratios (e.g. 7/5 and 11/7).