3645/3584: Difference between revisions

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{{stub}}
{{stub}}
{{Infobox Interval
{{Infobox interval
| Name = Schismean comma{{idiosyncratic}}
| Name = Schismean comma{{idiosyncratic}}
| Color name = Lry-2, Laruyo negative 2nd
| Color name = Lry-2, Laruyo negative 2nd
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It is the difference between three major whole tones and a small septimal tritone, or in other words, (9/8)<sup>3</sup>/(7/5).
It is the difference between three major whole tones and a small septimal tritone, or in other words, (9/8)<sup>3</sup>/(7/5).
== Temperaments ==
Tempering out this comma leads to the rank-3 [[Miscellaneous 7-limit temperaments #Schismean|schismean]] temperament. Rank-2 temperaments which temper out this comma include [[schism]], [[meantone]], and [[pycnic]].


[[Category:7-limit intervals]]
[[Category:7-limit intervals]]
[[Category:Small commas]]
[[Category:Small commas]]
[[Category:Commas named by combining multiple temperament names]]
[[Category:Commas named by combining multiple temperament names]]

Revision as of 11:34, 22 January 2026

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Interval information
Ratio 3645/3584
Factorization 2-9 × 36 × 5 × 7-1
Monzo [-9 6 1 -1
Size in cents 29.21781¢
Name Schismean comma[idiosyncratic term]
Color name Lry-2, Laruyo negative 2nd
FJS name [math]\displaystyle{ \text{d}{-2}^{5}_{7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 23.6391
Weil norm (log2 max(n, d)) 23.6634
Wilson norm (sopfr(nd)) 48
Comma size small
Open this interval in xen-calc

The schismean comma[idiosyncratic term] (monzo: [-9 6 1 -1, ratio: 3645/3584) is a small 7-limit comma measuring about 29.2 cents. It was named by Xenllium in 2022, most likely as a contraction of schism and meantone.

It is the difference between three major whole tones and a small septimal tritone, or in other words, (9/8)3/(7/5).

Temperaments

Tempering out this comma leads to the rank-3 schismean temperament. Rank-2 temperaments which temper out this comma include schism, meantone, and pycnic.