Acronymisma: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
Francium (talk | contribs)
m typo
mNo edit summary
 
(4 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Infobox Interval
{{Infobox Interval
| Ratio = 17577/17576
| Name = acronymisma
| Name = acronymisma
| Color name = 31o3u<sup>3</sup>z-2 <br> thiwotrithu-azo negative 2nd
| Color name = 31o3u<sup>3</sup>z-2 <br> thiwotrithu-azo negative 2nd
| Comma = yes
| Comma = yes
}}
}}
'''17577/17576''', the '''acronymisma''', is an [[unnoticeable comma|unnoticeable]] [[31-limit]] (also 2.3.7.13.31-[[subgroup]]) [[comma]] measuring 0.0985 [[cent]]s. It is the amount by which a stack of [[27/26]] and [[31/26]] exceeds [[26/21]]. In terms of commas, it is the difference between the tricesimoprimal kleisma, [[217/216]], and the threedie, [[2197/2187]].


'''17577/17576''', the '''acronymisma''', is an [[unnoticeable comma|unnoticeable]] [[31-limit]] (also 2.3.7.13.31-[[subgroup]]) [[comma]] measuring 0.10 [[cent]]s. It is the difference between the tricesimoprimal kleisma, [[217/216]], and the threedie, [[2197/2187]].  
== Temperaments ==
[[Tempering out]] this comma in the 2.3.7.13.31 subgroup results in the rank-4 '''acronymic temperament''', or in the [[31-limit]], the rank-9 '''acronymismic temperament''', enabling [[acronymismic chords]].  


== Etymology ==
== Etymology ==
The number 17576 is 26 cubed, and as there are 26 letters in the standard Latin alphabet, it is the number of distinct three-letter combinations or acronyms; the comma was named the "acronymisma" for this by [[User:Lériendil|Lériendil]] in 2025.
The number 17576 is 26 cubed, and as there are 26 letters in the standard Latin alphabet, it is the number of distinct three-letter combinations or acronyms; the comma was named the "acronymisma" for this by [[User:Lériendil|Lériendil]] in 2025.
[[Category:Acronymismic]]

Latest revision as of 15:10, 15 March 2025

Interval information
Ratio 17577/17576
Subgroup monzo 2.3.7.13.31 [-3 4 1 -3 1
Size in cents 0.09849709¢
Name acronymisma
Color name 31o3u3z-2
thiwotrithu-azo negative 2nd
FJS name [math]\displaystyle{ \text{dd}{-2}^{7,31}_{13,13,13} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 28.2027
Weil height (log2 max(n, d)) 28.2028
Wilson height (sopfr(nd)) 95
Comma size unnoticeable
Open this interval in xen-calc

17577/17576, the acronymisma, is an unnoticeable 31-limit (also 2.3.7.13.31-subgroup) comma measuring 0.0985 cents. It is the amount by which a stack of 27/26 and 31/26 exceeds 26/21. In terms of commas, it is the difference between the tricesimoprimal kleisma, 217/216, and the threedie, 2197/2187.

Temperaments

Tempering out this comma in the 2.3.7.13.31 subgroup results in the rank-4 acronymic temperament, or in the 31-limit, the rank-9 acronymismic temperament, enabling acronymismic chords.

Etymology

The number 17576 is 26 cubed, and as there are 26 letters in the standard Latin alphabet, it is the number of distinct three-letter combinations or acronyms; the comma was named the "acronymisma" for this by Lériendil in 2025.