1716/1715: Difference between revisions
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Tempering it out leads to the rank-5 '''lummic temperament'''. It is tempered out by several notable edos including [[72edo]], [[270edo]] and [[400edo]] among others. | Tempering it out leads to the rank-5 '''lummic temperament'''. It is tempered out by several notable edos including [[72edo]], [[270edo]] and [[400edo]] among others. | ||
== Etymology == | |||
This comma was named after [[Carl Lumma]]. Perhaps interestingly, a ''lummisma'' was first proposed by [[Gene Ward Smith]] in 2011 as a name for 1001/1000, but Carl Lumma pointed out that 1716/1715 was "better"<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_97947.html Yahoo! Tuning Group | ''Short commas'']</ref>, which might ultimately led to this comma being named so. | |||
== Notes == | |||
[[Category:Lummic]] | [[Category:Lummic]] | ||
[[Category:Commas named after composers]] | [[Category:Commas named after composers]] | ||
[[Category:Commas named after music theorists]] | [[Category:Commas named after music theorists]] | ||
Latest revision as of 15:22, 14 June 2025
| Interval information |
reduced
The lummic comma, 1716/1715, is a 13-limit superparticular comma measuring about 1.0 ¢. It often arises as the difference between simpler commas: (176/175)/(196/195), (351/350)/(441/440), (1573/1568)/(385/384), (540/539)/(1575/1573), and (1001/1000)/(2401/2400). It factors into (2080/2079)(9801/9800).
Tempering it out leads to the rank-5 lummic temperament. It is tempered out by several notable edos including 72edo, 270edo and 400edo among others.
Etymology
This comma was named after Carl Lumma. Perhaps interestingly, a lummisma was first proposed by Gene Ward Smith in 2011 as a name for 1001/1000, but Carl Lumma pointed out that 1716/1715 was "better"[1], which might ultimately led to this comma being named so.