Graviton: Difference between revisions

From Xenharmonic Wiki
Jump to navigation Jump to search
m Cleanup
Sectioning
 
(10 intermediate revisions by 7 users not shown)
Line 1: Line 1:
The '''graviton''' is the comma 129140163/128000000 = {{monzo| -13 17 -6 }}. It is equal to (81/80)<sup>4</sup>/(25/24), (81/80)<sup>2</sup>/(20000/19683), (81/80)/(1600000/1594323), (32805/32768)×(78732/78125) and the parakleisma times the semicomma. Patent vals which temper it out include those for {{EDOs| 7, 58, 65, 72, 130, 137, 202 and 346 }}.
{{Infobox Interval
| Ratio = 129140163/128000000
| Name = graviton
| Color name = LLg<sup>6</sup>1, lala-tribigu 1sn,<br>Lala-tribigu comma
| Comma = yes
}}
The '''graviton''' ({{monzo|legend=1| -13 17 -6 }}, [[ratio]]: 129140163/128000000) is a [[small comma|small]] [[5-limit]] [[comma]] of about 15.4 [[cent]]s. It belongs to the [[syntonic–chromatic equivalence continuum]] and is equal to the difference between a stack of six [[syntonic comma]]s and an [[apotome]] ((81/80)<sup>6</sup>/(2187/2048)), or in terms of classic chromatic semitone, between a stack of four syntonic commas and a classic chromatic semitone ((81/80)<sup>4</sup>/(25/24)). It is also the [[schisma]] times the [[sensipent comma]] and the [[parakleisma]] times the [[semicomma]].  


== See also ==
== Temperaments ==
* [[Small comma]]
[[Tempering out]] this comma leads to the [[gravity family]] of temperaments. [[Patent val]]s which temper it out include those for {{EDOs| 7, 58, 65, 72, 130, 137, 202 and 346 }}.
 
== Etymology ==
The comma was named by [[Mike Battaglia]] in 2011 in terms of the corresponding temperament, ''gravity'', after its grave-fifth generator<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99315.html Yahoo! Tuning Group| ''Some new 5-limit microtemperaments'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99763.html#99794 Yahoo! Tuning Group| ''Names for forgotten or unclassified temperaments'']</ref>.
 
== References ==


[[Category:5-limit]]
[[Category:Small comma]]
[[Category:Gravity]]
[[Category:Gravity]]
[[Category:Commas named for their regular temperament properties]]

Latest revision as of 15:55, 13 February 2026

Interval information
Ratio 129140163/128000000
Factorization 2-13 × 317 × 5-6
Monzo [-13 17 -6
Size in cents 15.35273¢
Name graviton
Color name LLg61, lala-tribigu 1sn,
Lala-tribigu comma
FJS name [math]\displaystyle{ \text{d1}_{5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 53.8759
Weil norm (log2 max(n, d)) 53.8887
Wilson norm (sopfr(nd)) 107
Comma size small
Open this interval in xen-calc

The graviton (monzo[-13 17 -6, ratio: 129140163/128000000) is a small 5-limit comma of about 15.4 cents. It belongs to the syntonic–chromatic equivalence continuum and is equal to the difference between a stack of six syntonic commas and an apotome ((81/80)6/(2187/2048)), or in terms of classic chromatic semitone, between a stack of four syntonic commas and a classic chromatic semitone ((81/80)4/(25/24)). It is also the schisma times the sensipent comma and the parakleisma times the semicomma.

Temperaments

Tempering out this comma leads to the gravity family of temperaments. Patent vals which temper it out include those for 7, 58, 65, 72, 130, 137, 202 and 346.

Etymology

The comma was named by Mike Battaglia in 2011 in terms of the corresponding temperament, gravity, after its grave-fifth generator[1][2].

References