270edo: Difference between revisions

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


=== Divisors and multipliers. ===
=== 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.
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.
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.
[[540edo]], which divides the edostep in two, provides good correction for the 17th and 23rd harmonics.


== Intervals ==
== Intervals ==