1944edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|1944}} | |||
== Theory == | |||
1944edo is consistent in the 5-limit to which it provides good approximation, and a near-perfect [[15/8]], but it is only consistent that far. In the 5-limit, it does temper out the [[luna]] comma, {{monzo|38 -2 -15}}. In the 1944d val in the 7-limit, it is a landscape system, tempering out 250047/250000, and as a consequence it tunes the 24th-octave [[chromium]] temperament. | |||
In higher limits, 1944edo is a tuning for the [[Jamala]] temperament in the 2.5.11.13.19.41.47 subgroup, for which 1944edo provides good approximation (except for the 13th harmonic) and which is named after an [[wikipedia:Jamala|artist]] who performed a [[wikipedia:1944 (song)|song about the same year as the edo number]]. Overall, the best subgroup for 1944edo is 2.3.5.11.17.19.29.31.41.47. | |||
=== Odd harmonics === | |||
{{harmonics in equal|1944}} | |||
== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
!Periods | !Periods | ||
per 8ve | per 8ve | ||
!Generator | !Generator<br>(reduced) | ||
(reduced) | !Cents<br>(reduced) | ||
!Cents | |||
(reduced) | |||
!Associated ratio | !Associated ratio | ||
!Temperaments | !Temperaments | ||
|- | |- | ||
|72 | |72 | ||
|892\1944 | |892\1944<br>(1\2016) | ||
(1\2016) | |550.617<br>(0.617) | ||
|550.617 | |73205/53248<br>(?) | ||
(0.617) | |||
|73205/53248 | |||
(?) | |||
|[[Jamala]] | |[[Jamala]] | ||
|} | |} | ||