3888/3887: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 3888/3887 | Name = vicetride comma | Comma = yes }} '''3888/3887''', the '''vicetride comma''', is a 23-limit and 2.3.13.23-subgroup squ..."
 
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'''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 [[48/23]] and [[13/9]]<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 2.3.13.23 systems [[17edo]] and [[70edo]].  
'''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 [[48/23]] and [[13/9]]<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 [[70edo]].  


== Etymology ==
== Etymology ==

Revision as of 14:12, 18 October 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¢
Name vicetride 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 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 13/122, or between 48/23 and 13/92 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 70edo.

Etymology

The name vicetride comma was assigned by Xenllium, presumably from a contraction of "vicesimotertial" and "tridecimal".

See also