618edo: Difference between revisions

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Created page with "{{EDO intro|618}} == Theory == {{Harmonics in equal|618}} 618edo is excellent in the no-threes subgroups. It tempers out the jacobin comma in the no-threes 13-limit, 14875/14..."
 
There're a lot of notable commas in 2.9... subgroup and comma's notability is non sequitur for the out-of-place "how music is 3/2-centric"
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== Theory ==
== Theory ==
As every other step of [[1236edo]], 618edo is excellent in the 2.9.5.7.11.13.17 subgroup, where it notably tempers out [[2601/2600]], [[4096/4095]], [[5832/5831]], [[6656/6655]], [[9801/9800]], and [[10648/10647]]. With a reasonable approximation of 19, it further tempers out 2926/2925, 5985/5984, and 6175/6174.
=== Odd harmonics ===
{{Harmonics in equal|618}}
{{Harmonics in equal|618}}
618edo is excellent in the no-threes subgroups. It tempers out the jacobin comma in the no-threes 13-limit, 14875/14872 in the no-threes 17-limit and 2432/2431 and 5491/5488 in the no-threes 19-limit.
The fact that the jacobin comma is the only one notable among these, suggests just how [[3/2]]-centric music is, even in the xenharmonic practices.