1880edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1880}}
{{ED intro}}


== Theory ==
Since {{nowrap|1880 {{=}} 20 × 94}}, 1880edo shares its [[harmonic]] [[3/1|3]] with [[94edo]]. It is [[consistent]] in the [[7-odd-limit]], and is overall a decent 13-limit system, although its 9/8 is off the stack of two 3/2's by one step, which prevents consistency in the [[9-odd-limit]].
1880edo is consistent in the [[7-odd-limit]], and is overall a decent 13-limit system, although its 9/8 is off the stack of two 3/2s by one step, which prevents consistency in the [[9-odd-limit]].


In the 13-limit, it tempers out [[6656/6655]] and supports the 2.5.7.11.13 subgroup [[The Jacobins#Eternal Revolutionary|Eternal Revolutionary]] temperament.
In the 13-limit, it tempers out [[6656/6655]] and supports the 2.5.7.11.13 subgroup [[eternal revolutionary]] temperament.
 
=== Odd harmonics ===
{{Harmonics in equal|1880}}
{{Harmonics in equal|1880}}
=== Subsets and supersets ===
Since 1880 factors into {{factorization|1880}}, 1880edo has subset edos {{EDOs| 2, 4, 5, 8, 10, 20, 40, 47, 94, 188, 235, 376, 470, and 940 }}.