1911edo: Difference between revisions

Eliora (talk | contribs)
rank-2 temperaments
Eliora (talk | contribs)
style
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1911}}
{{EDO intro|1911}}
 
== Theory ==
1911edo is consistent in the 11-limit and tempers out the [[aluminium comma]] in the 5-limit. It provides the [[optimal patent val]] for the [[protactinium]] temperament in the 17-limit. However as may stem from consistency only in the 11-limit, the 13th harmonic has a large relative error. As such, 1911edo is best considered as a 2.3.5.7.11.17.19 subgroup tuning.
1911edo is consistent in the 11-limit and tempers out the [[aluminium comma]] in the 5-limit. It provides the [[optimal patent val]] for the [[protactinium]] temperament in the 17-limit. However as may stem from consistency only in the 11-limit, the 13th harmonic has a large relative error. As such, 1911edo is best considered as a 2.3.5.7.11.17.19 subgroup tuning.
=== Odd harmonics ===
=== Odd harmonics ===
Line 13: Line 13:
=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
!Periods
!Periods<br>per 8ve
per 8ve
!Generator<br>(Reduced)
!Generator
!Cents<br>(Reduced)
(Reduced)
!Associated<br>Ratio
!Cents
(Reduced)
!Associated
Ratio
!Temperaments
!Temperaments
|-
|-
|13
|13
|793\1911
|793\1911<br>(58\1911)
(58\1911)
|497.959<br>(36.421)
|497.959
|4/3<br>(?)
(36.421)
|4/3
(?)
|[[Aluminium]]
|[[Aluminium]]
|-
|-
|91
|91
|793\1911
|793\1911<br>(16\1911)
(16\1911)
|497.959<br>(10.047)
|497.959
|4/3<br>(176/175)
(10.047)
|4/3
(176/175)
|[[Protactinium]]
|[[Protactinium]]
|}
|}