270edo: Difference between revisions

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{{Harmonics in equal|270|prec=3}}
{{Harmonics in equal|270|prec=3}}


=== Divisors ===
=== Divisors and multipliers. ===
270 is a very composite number. The prime factorization is: 270 = 2 × 3<sup>3</sup> × 5, with divisors 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90 and 135, and some of these form the periods of some rank two temperaments 270 supports; these include [[Ragismic microtemperaments #Ennealimmal|ennealimmal]], hemiennealimmal and [[The Archipelago #Rank two temperaments|decitonic]]. This means that 270edo can be conceptualised as the superset/intersection of, for example, [[10edo]] and [[27edo]], which are both interesting and somewhat peculiar in their own right.
270 is a very composite number. The prime factorization is: 270 = 2 × 3<sup>3</sup> × 5, with divisors 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90 and 135.
 
This means that 270edo can be conceptualised as the superset/intersection of, for example, [[10edo]] and [[27edo]], which are both interesting and somewhat peculiar in their own right.
 
[[540edo]], which divides the edostep in two, provides good correction for the 17th, 19th and 23rd harmonics.


== Intervals ==
== Intervals ==