Linus comma: Difference between revisions

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== Temperaments ==
== Temperaments ==
Tempering out this comma alone in the 7-limit results in the rank-3 '''linus temperament'''. Edos not divisible by 10 cannot temper it out. For technical details see [[10th-octave temperaments #Linus (rank-3)]].  
Tempering out this comma alone in the 7-limit results in the rank-3 [[linus]] temperament. Edos not divisible by 10 cannot temper it out. For technical details see [[10th-octave temperaments #Linus (rank-3)]].  
 
== Etymology ==
The name ''linus'' was given by [[Gene Ward Smith]] in 2011, referring to the fact that it is a "line comma" since the simplest comma pump will simply march along a line of the tetrad lattice<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99424.html Yahoo! Tuning Group | ''Line commas'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_99457.html Yahoo! Tuning Group | ''Decoid and linus'']</ref>.
 
A 2016 article on this wiki by [[Mason Green]], not aware of this comma already having been named, dubbed it the ''higherlovesma'', and the corresponding rank-3 temperament ''winwood''.
 
== Notes ==


[[Category:Linus]]
[[Category:Linus]]

Revision as of 15:57, 6 January 2024

Interval information
Ratio 578509309952/576650390625
Factorization 211 × 3-10 × 5-10 × 710
Monzo [11 -10 -10 10
Size in cents 5.571917¢
Name linus comma
FJS name [math]\displaystyle{ \text{10d8}^{7,7,7,7,7,7,7,7,7,7}_{5,5,5,5,5,5,5,5,5,5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 78.1425
Weil norm (log2 max(n, d)) 78.1471
Wilson norm (sopfr(nd)) 172
Comma size small
Open this interval in xen-calc

The linus comma (monzo[11 -10 -10 10) is a small 7-limit comma measuring about 5.57 ¢. It is the difference between a stack of 10 15/14's and the octave.

Temperaments

Tempering out this comma alone in the 7-limit results in the rank-3 linus temperament. Edos not divisible by 10 cannot temper it out. For technical details see 10th-octave temperaments #Linus (rank-3).

Etymology

The name linus was given by Gene Ward Smith in 2011, referring to the fact that it is a "line comma" since the simplest comma pump will simply march along a line of the tetrad lattice[1][2].

A 2016 article on this wiki by Mason Green, not aware of this comma already having been named, dubbed it the higherlovesma, and the corresponding rank-3 temperament winwood.

Notes