729/686: Difference between revisions

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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.
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 after their color name]]

Revision as of 06:30, 3 November 2024

Interval information
Ratio 729/686
Factorization 2-1 × 36 × 7-3
Monzo [-1 6 0 -3
Size in cents 105.2523¢
Name triru 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

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