840edo: Difference between revisions

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Correction: consistency can't be said regarding entire JI subgroups
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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|840}}
{{EDO intro|840}}
==Theory==
840edo is the 15th [[highly melodic EDO]], and it is the first one divisible by 7.


It tunes the [[13-limit|13-prime-limit]] consistently, being the first highly melodic EDO past [[60edo]] to do so, however it does not tune the 9-odd-limit consistently. A comma basis for the 2.3.5.7.11.13 subgroup is [[729/728]], [[1575/1573]], 67392/67375, 804375/802816, [[250047/250000]].
== Theory ==
840edo is the 15th [[highly melodic EDO]], and it is the first one divisible by 7. It does not tune the 9-odd-limit consistently, though a reasonable 13-limit interpretation exists through the patent val is. A comma basis for the 13-limit is [[729/728]], [[1575/1573]], 67392/67375, 804375/802816, [[250047/250000]].
=== Odd harmonics ===
=== Odd harmonics ===
{{harmonics in equal|840}}
{{harmonics in equal|840}}


[[Category:Highly melodic]]
[[Category:Highly melodic]]