3888/3887: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 3888/3887
| Ratio = 3888/3887
| Name = vicetride comma
| Name = shoalma, vicetride comma
| Color name = 23u3uu-2, twethuthuthu negative 2nd,<br>Twethuthuthu comma
| Color name = 23u3uu-2, twethuthuthu negative 2nd,<br>Twethuthuthu comma
| Comma = yes
| Comma = yes
}}
}}
'''3888/3887''', the '''vicetride comma''', is a [[23-limit]] and 2.3.13.23-[[subgroup]] [[square superparticular|semiparticular]] comma of about 0.445 [[cent]]s. It is the difference between [[27/23]] and [[13/12]]<sup>2</sup>, or between [[23/12]] and [[18/13]]<sup>2</sup> and in this way tempering this comma out allows for the introduction of intervals of 23 into the 2.3.13 subgroup, like is done in the notable 2.3.13 systems [[17edo]] and [[147edo]].  
'''3888/3887''', the '''shoalma''' or '''vicetride comma''', is a [[23-limit]] and 2.3.13.23-[[subgroup]] [[square superparticular|semiparticular]] comma of about 0.445 [[cent]]s. It is the difference between [[27/23]] and ([[13/12]])<sup>2</sup>, or between [[23/12]] and ([[18/13]])<sup>2</sup> and in this way tempering this comma out allows for the introduction of intervals of 23 into the 2.3.13 subgroup, like is done in the notable 2.3.13 systems [[17edo]] and [[147edo]].  


== Etymology ==
== Etymology ==
The name '''vicetride comma''' was assigned by [[User:Xenllium|Xenllium]], presumably from a contraction of "vicesimotertial" and "tridecimal".
The name '''vicetride''' was assigned by [[User:Xenllium|Xenllium]], presumably from a contraction of "vicesimotertial" and "tridecimal", while the name '''shoal''' originates with [[User:CompactStar|CompactStar]] and comes from a contraction of "sharp whole tone", referring to the [[26/23]]-generated temperament defined by this comma alongside [[12168/12167]] or equivalently the [[kwadransma]].


== See also ==
== See also ==
* [[Unnoticeable comma]]
* [[Unnoticeable comma]]
* [[List of superparticular intervals]]
* [[List of superparticular intervals]]
[[Category:Commas named for their regular temperament properties]]

Latest revision as of 02:48, 16 November 2024

Interval information
Ratio 3888/3887
Factorization 24 × 35 × 13-2 × 23-1
Monzo [4 5 0 0 0 -2 0 0 -1
Size in cents 0.4453335¢
Names shoalma,
vicetride comma
Color name 23u3uu-2, twethuthuthu negative 2nd,
Twethuthuthu comma
FJS name [math]\displaystyle{ \text{A1}_{13,13,23} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 23.8493
Weil norm (log2 max(n, d)) 23.8496
Wilson norm (sopfr(nd)) 72
Comma size unnoticeable
S-expression S24/S26
Open this interval in xen-calc

3888/3887, the shoalma or vicetride comma, is a 23-limit and 2.3.13.23-subgroup semiparticular comma of about 0.445 cents. It is the difference between 27/23 and (13/12)2, or between 23/12 and (18/13)2 and in this way tempering this comma out allows for the introduction of intervals of 23 into the 2.3.13 subgroup, like is done in the notable 2.3.13 systems 17edo and 147edo.

Etymology

The name vicetride was assigned by Xenllium, presumably from a contraction of "vicesimotertial" and "tridecimal", while the name shoal originates with CompactStar and comes from a contraction of "sharp whole tone", referring to the 26/23-generated temperament defined by this comma alongside 12168/12167 or equivalently the kwadransma.

See also