492128/492075: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 492128/492075
| Ratio = 492128/492075
| Name = 13<sup>3</sup>⋅7/25 schismina
| Name =  
| Color name = s3<sup>3</sup>zgg3, satritho-azogugu 3rd
| Color name = s3<sup>3</sup>zgg3, satritho-azogugu 3rd
| Comma = yes
| Comma = yes
}}
}}
'''492128/492075''' is a [[13-limit]] ([[2.3.5.7.13 subgroup]]) [[unnoticeable comma]] measuring 0.186{{cent}}. It is the difference between the [[96/91]] semitone and a stack of two [[416/405]] quartertones as well as between the [[superparticular ratio]]s [[729/728]] and [[676/675]]. Tempering it out splits the [[28/25]] meantone into three [[27/26]] third-tones; this is performed by [[bischismic]], [[buzzard]], [[catakleismic]], [[godzilla]], [[harry]], [[hemiseven]], [[iron]], [[mirkat]], [[semiennealimmal]], [[sruti]], [[unicorn]], and [[unthirds]] temperaments. 492128/482075 is 0.023{{cent}} away from the catasma [[140625/140608]], and their product makes the ragisma [[4375/4374]].
'''492128/492075''', systematic name ''13<sup>3</sup>⋅7/25 schismina'', is an [[unnoticeable comma|unnoticeable]]  [[13-limit]] (specifically [[2.3.5.7.13 subgroup|2.3.5.7.13-subgroup]]) [[comma]] measuring 0.186{{cent}}. It is the difference between the [[96/91]] semitone and a stack of two [[416/405]] quartertones as well as between the [[superparticular ratio]]s [[729/728]] and [[676/675]].  
 
Tempering it out splits the [[28/25]] meantone into three [[27/26]] third-tones; this is performed by [[bischismic]], [[buzzard]], [[catakleismic]], [[godzilla]], [[harry]], [[hemiseven]], [[iron]], [[mirkat]], [[ennealimmapine]], [[sruti]], [[unicorn]], and [[unthirds]] temperaments. 492128/482075 is 0.023{{cent}} away from the catasma [[140625/140608]], and their product makes the ragisma [[4375/4374]].


[[Category:Commas named systematically]]
[[Category:Commas named systematically]]

Latest revision as of 09:28, 19 May 2026

Interval information
Ratio 492128/492075
Factorization 25 × 3-9 × 5-2 × 7 × 133
Monzo [5 -9 -2 1 0 3⟩
Size in cents 0.1864563¢
Name(s) missing ? 
Color name s33zgg3, satritho-azogugu 3rd
FJS name [math]\displaystyle{ \text{dddd3}^{7,13,13,13}_{5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 37.8172
Weil norm (log2 max(n, d)) 37.8173
Wilson norm (sopfr(nd)) 93
Comma size unnoticeable
S-expression S26/S27
Open this interval in xen-calc

492128/492075, systematic name 133⋅7/25 schismina, is an unnoticeable 13-limit (specifically 2.3.5.7.13-subgroup) comma measuring 0.186 ¢. It is the difference between the 96/91 semitone and a stack of two 416/405 quartertones as well as between the superparticular ratios 729/728 and 676/675.

Tempering it out splits the 28/25 meantone into three 27/26 third-tones; this is performed by bischismic, buzzard, catakleismic, godzilla, harry, hemiseven, iron, mirkat, ennealimmapine, sruti, unicorn, and unthirds temperaments. 492128/482075 is 0.023 ¢ away from the catasma 140625/140608, and their product makes the ragisma 4375/4374.

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