2814edo: Difference between revisions

Eliora (talk | contribs)
clarify and add rank 2 temp
This isn't the OPV for jacobin. The OPV is 3395. Note to editors: plz learn about the concept before making such claims
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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.
In the 13-limit it tempers out [[6656/6655]] and supports the 2.5.7.11.13 subgroup [[Double Bastille]] temperament.


=== Prime harmonics ===
=== Prime harmonics ===
{{Harmonics in equal|2814}}
{{Harmonics in equal|2814}}
[[Category:Equal divisions of the octave|####]]


== Regular temperament properties ==
== Regular temperament properties ==
=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
Note: 7-limit temperaments represented by [[1407edo]] are not included.
Note: 7-limit temperaments represented by [[1407edo]] are not included.
{| class="wikitable center-all left-4"
{| class="wikitable center-all left-4"
!Periods  
! Periods<br>per 8ve
per 8ve
! Generator<br>(Reduced)
!Generator
! Cents<br>(Reduced)
(Reduced)
! Associated<br>Ratio
!Cents
! Temperament
(Reduced)
!Associated
Ratio
!Temperament
|-
|-
|1
| 1
|593\2814
| 593\2814
|252.878
| 252.878
|53094899/45875200
| 53094899/45875200
|[[Double Bastille]]
| [[Double Bastille]]
|}<!-- 4-digit number -->
|}
 
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
[[Category:Jacobin]]
[[Category:Jacobin]]