43/42: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
← Older edit
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,263 edits
mNo edit summary
Expand a little bit with an obvious name. - musically pointless data
 
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Comma = yes}}
| Name = large 43-limit fifth-tone
}}
'''43/42''', the '''large 43-limit fifth-tone''', is a [[43-limit]] (2.3.7.43-subgroup) [[interval]] of about 40.7 [[cent]]s. It is equal to a stack of [[64/63]] and [[129/128]].


'''43/42''' is a [[43-limit]] (2.3.7.43 subgroup) [[interval]] of about 41 [[cents]].
== See also ==
 
* [[44/43]] – the small 43-limit fifth-tone
Treating this interval as a [[comma]] to be [[tempered]] in the 2.3.7.43 subgroup results in the [[rank-3]] 43:42 temperament (according to x31eq.com). The [[mapping matrix]] is: [(1 0 0 1] (0 1 0 1] (0 0 1 1]). The [[generator]]s are ~2=1200.998, ~3=703.463, ~7=974.692, ~43=477.156 in [[TE]] tuning.

Latest revision as of 19:23, 8 August 2025

Interval information
Ratio 43/42
Subgroup monzo 2.3.7.43 [-1 -1 -1 1⟩
Size in cents 40.7368¢
Name large 43-limit fifth-tone
FJS name [math]\displaystyle{ \text{P1}^{43}_{7} }[/math]
Special properties superparticular,
reduced
Tenney norm (log2 nd) 10.8186
Weil norm (log2 max(n, d)) 10.8525
Wilson norm (sopfr(nd)) 55
Open this interval in xen-calc

43/42, the large 43-limit fifth-tone, is a 43-limit (2.3.7.43-subgroup) interval of about 40.7 cents. It is equal to a stack of 64/63 and 129/128.

See also

  • 44/43 – the small 43-limit fifth-tone
Retrieved from "https://en.xen.wiki/index.php?title=43/42&oldid=206585"