Kuragesma: Difference between revisions

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{{Infobox interval|Color name=3o<sup>3</sup>1u<sup>4</sup>y2 ,Tritho-aquadlu-ayo 2nd|Comma=yes|Name=Kuragesma|Ratio=43940/43923}}
{{Infobox interval
43940/43923, the '''Kuragesma''', is a [[No-sevens subgroup temperaments|no-sevens]] [[13-limit]] [[unnoticeable comma]] measuring about 0.66993 {{Cent}}. It is the difference between [[5/3]], the classical major 6th, and 14641/8788 ({{Monzo| -2 0 0 0 4 -3 }}). Therefore 17576/14641 ({{Monzo| 3 0 0 0 -4 3 }}), which is a stack of three [[13/8]]'s minus four [[11/8]]'s, approximates [[6/5]], the classical minor 3rd.
| Ratio = 43940/43923
| Name = kuragesma
| Color name = 3o<sup>3</sup>1u<sup>4</sup>y2 ,Tritho-aquadlu-ayo 2nd
| Comma = yes
}}
The '''kuragesma''' ([[ratio]]: 43940/43923) is a [[unnoticeable comma|unnoticeable]] [[2.3.5.11.13 subgroup|no-7's]] [[13-limit]] [[comma]] measuring about 0.670 [[cent]]s. It is the difference between a stack of three [[13/11]]'s and [[33/20]], or between a stack of four 13/11's and [[39/20]].  
 
In terms of other commas, it is the difference between [[2080/2079]] and [[10648/10647]]. It factors into simpler commas as ([[4225/4224]])⋅([[6656/6655]]).  


== Etymology ==
== Etymology ==
The name was proposed by [[User:原井玉葱郎|Misohito Nakai]] in 2025, named after his girlfriend ([https://x.com/l0X_________ 蒼瀬くらげ]) who was interested in Xenharmonics.
The name was proposed by [[User:原井玉葱郎|Misohito Nakai]] in 2025, named after his girlfriend ([https://x.com/l0X_________ 蒼瀬くらげ]) who was interested in Xenharmonics.


[[Category:Kuragesmic]]
[[Category:Commas named after individuals]]
[[Category:Commas named after individuals]]

Latest revision as of 11:28, 30 June 2026

Interval information
Ratio 43940/43923
Factorization 22 × 3-1 × 5 × 11-4 × 133
Monzo [2 -1 1 0 -4 3
Size in cents 0.6699288¢
Name kuragesma
Color name 3o31u4y2 ,Tritho-aquadlu-ayo 2nd
FJS name [math]\displaystyle{ \text{m2}^{5,13,13,13}_{11,11,11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 30.8459
Weil norm (log2 max(n, d)) 30.8465
Wilson norm (sopfr(nd)) 95
Comma size unnoticeable
Open this interval in xen-calc

The kuragesma (ratio: 43940/43923) is a unnoticeable no-7's 13-limit comma measuring about 0.670 cents. It is the difference between a stack of three 13/11's and 33/20, or between a stack of four 13/11's and 39/20.

In terms of other commas, it is the difference between 2080/2079 and 10648/10647. It factors into simpler commas as (4225/4224)⋅(6656/6655).

Etymology

The name was proposed by Misohito Nakai in 2025, named after his girlfriend (蒼瀬くらげ) who was interested in Xenharmonics.