729/686: Difference between revisions

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BudjarnLambeth (talk | contribs)
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Created page for triru comma
 
August, not augene
 
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{{Infobox Interval
{{Infobox Interval
| Name = triru comma
| Name = 3-9/7-comma
| Color name = r<sup>3</sup>-2, triru negative 2nd
| Comma = yes
| Comma = yes
}}
}}
'''729/686''' is a [[7-limit]] (2.3.7 [[subgroup]]) [[comma]]. This comma is [[tempered out]] by the [[Tour of regular temperaments #Clans defined by a 2.3.7 comma|triru clan]] of temperaments, which includes the triru temperament, along with the [[august]] temperament and its extensions.


The '''triru comma''' ([[ratio]]: '''729/686''') is a [[7-limit]] (2.3.7 [[subgroup]]) [[comma]]. This comma is [[tempered out]] by the [[Tour of regular temperaments#Clans defined by a 2.3.7 (za) comma|triru clan]] of temperaments, which includes its namesake the [[triru]] temperament, along with the prominent [[augene]] temperament and its extensions.
[[Category:Commas named systematically]]

Latest revision as of 18:52, 27 January 2026

Interval information
Ratio 729/686
Factorization 2-1 × 36 × 7-3
Monzo [-1 6 0 -3⟩
Size in cents 105.2523¢
Name 3-9/7-comma
Color name r3-2, triru negative 2nd
FJS name [math]\displaystyle{ \text{d}{-2}_{7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 18.9318
Weil norm (log2 max(n, d)) 19.0196
Wilson norm (sopfr(nd)) 41
Comma size large
Open this interval in xen-calc

729/686 is a 7-limit (2.3.7 subgroup) comma. This comma is tempered out by the triru clan of temperaments, which includes the triru temperament, along with the august temperament and its extensions.

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