Kuragesma: Difference between revisions

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43940/43923, the '''Kuragesma''', is a [[No-sevens subgroup temperaments|no-sevens]], [[13-limit]] [[unnoticeable comma]] measuring about 0.66993 [[Cent|cents]]. It is the difference between [[5/3]], which is the pure major 6th, and three intervals of [[26/25|14641/8788]].
43940/43923, the '''Kuragesma''', is a [[No-sevens subgroup temperaments|no-sevens]], [[13-limit]] [[unnoticeable comma]] measuring about 0.66993 [[Cent|cents]]. It is the difference between [[5/3]], which is the pure major 6th, and three intervals of [[26/25|14641/8788]].


{{Infobox interval|Color name=3o<sup>3</sup>1u<sup>4</sup>g2 ,Tritho-quadlu-agu 2nd|Comma=yes|Name=Kuragesma|Ratio=43940/43923}}
{{Infobox interval|Color name=3o<sup>3</sup>1u<sup>4</sup>y2 ,Tritho-aquadlu-ayo 2nd|Comma=yes|Name=Kuragesma|Ratio=43940/43923}}


Therefore 17576/14641, combination of four stack of [[16/11|8/11]] and thrree stack of [[13/8]] , approximates [[6/5]] , a pure minor 3rd.
Therefore 17576/14641, combination of four stack of [[16/11|8/11]] and thrree stack of [[13/8]] , approximates [[6/5]] , a pure minor 3rd.


== Ethymology ==
== Etymology ==
The name was proposed by [[User:原井玉葱郎|Misohito Nakai]] in 2025, Named after his girlfriend who was interested in Xenharmonic.
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 Xenharmonic.

Latest revision as of 00:15, 16 April 2025

43940/43923, the Kuragesma, is a no-sevens, 13-limit unnoticeable comma measuring about 0.66993 cents. It is the difference between 5/3, which is the pure major 6th, and three intervals of 14641/8788.

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 height (log2 nd) 30.8459
Weil height (log2 max(n, d)) 30.8465
Wilson height (sopfr(nd)) 95
Comma size unnoticeable
Open this interval in xen-calc

Therefore 17576/14641, combination of four stack of 8/11 and thrree stack of 13/8 , approximates 6/5 , a pure minor 3rd.

Etymology

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