Linus comma: Difference between revisions

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Created page with "{{Infobox Interval |Ratio = 578509309952/576650390625 |Name = linus comma |Comma = yes }} Linus comma is the difference between a stack of 10 15/14s and the octave. == Te..."
 
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{{Infobox Interval
{{Infobox Interval
|Ratio = 578509309952/576650390625
| Ratio = 578 509 309 952 / 576 650 390 625
|Name = linus comma
| Name = linus comma
|Comma = yes
| Comma = yes
}}
}}


Linus comma is the difference between a stack of 10 [[15/14]]s and the octave.
The '''linus comma''' ({{monzo|legend=1| 11 -10 -10 10 }}) is a [[small comma|small]] [[7-limit]] [[comma]] measuring about 5.57{{cent}}. It is the difference between a stack of 10 [[15/14]]'s and the [[octave]].
 
== 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 it out results in the rank-3 '''linus''' temperament in the 7-limit. Edos not divisible by 10 cannot temper it out. For technical details see [[10th-octave temperaments#Linus (rank-3)]].
[[Category:Linus]]

Revision as of 15:49, 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).