4000/3969: Difference between revisions

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Created page with "{{Infobox Interval | Ratio = 4000/3969 | Name = octagar comma | Color name = Rurutriyo comma | Comma = yes }} The '''octagar comma''' is a small 7-limit [..."
 
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== Temperaments ==
== Temperaments ==
Tempering out this comma alone in the 7-limit leads to the [[octagar]] temperament. See [[octagar family]] for the family of rank-3 temperaments where it is tempered out. See [[octagar temperaments]] for a collection of rank-2 temperaments where it is tempered out.
Tempering out this comma alone in the 7-limit leads to the [[octagar]] temperament. See [[Octagar family]] for the family of rank-3 temperaments where it is tempered out. See [[Octagar temperaments]] for a collection of rank-2 temperaments where it is tempered out.


It is also tempered out in the following [[edo]]s (by [[simple map]]): {{EDOs|3, 12, 15, 23, 26, 27, 29, 30, 38, 41, 42, 53, 56, 68, 71, 79, 80, 82, 83, 94, 95, 97}}...
It is also tempered out in the following [[edo]]s (by [[simple map]]): {{EDOs|3, 12, 15, 23, 26, 27, 29, 30, 38, 41, 42, 53, 56, 68, 71, 79, 80, 82, 83, 94, 95, 97}}...
== Etymology ==
This comma was named as ''octagari'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[octacot]]'' and ''[[garibaldi]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group | ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later dropped the last letter ''i''.


== See also ==
== See also ==
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
== Notes ==
[[Category:Octagar]]