2814edo: Difference between revisions
→Theory: even 20% relative error doesn't guarantee consistency in the 17-odd-limit. 1/3 does |
clarify and add rank 2 temp |
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In the 11-limit, it supports rank-3 [[odin]] temperament. | In the 11-limit, it supports rank-3 [[odin]] temperament. | ||
2814edo provides the [[optimal patent val]] for the rank-5 temperament tempering out the [[jacobin comma]], and as such it is also a tuning for the [[Double Bastille]] temperament in the 2.5.7.11.13 subgroup. | |||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|2814}} | {{Harmonics in equal|2814}} | ||
[[Category:Equal divisions of the octave|####]]<!-- 4-digit number --> | [[Category:Equal divisions of the octave|####]] | ||
== Regular temperament properties == | |||
=== Rank-2 temperaments === | |||
Note: 7-limit temperaments represented by [[1407edo]] are not included. | |||
{| class="wikitable center-all left-4" | |||
!Periods | |||
per 8ve | |||
!Generator | |||
(Reduced) | |||
!Cents | |||
(Reduced) | |||
!Associated | |||
Ratio | |||
!Temperament | |||
|- | |||
|1 | |||
|593\2814 | |||
|252.878 | |||
|53094899/45875200 | |||
|[[Double Bastille]] | |||
|}<!-- 4-digit number --> | |||
[[Category:Jacobin]] | [[Category:Jacobin]] | ||