1716/1715: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = | | Name = lummic comma | ||
| Comma = yes | | Comma = yes | ||
}} The | }} | ||
The '''lummic comma''', '''1716/1715''', is a [[13-limit]] [[superparticular]] [[comma]] measuring about 1.0{{cent}}. 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. | |||
[[Category:Lummic]] | |||
Revision as of 07:15, 20 June 2023
| 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.