19edo: Difference between revisions

+Temperament measures
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In music, '''19 equal temperament''', called 19-TET, 19-[[EDO]], or 19-ET, is the scale derived by dividing the [[octave]] into 19 [[Equal|equally]] large steps. Each step represents a frequency ratio of the 19th root of 2, or 63.16 [[cent|cents]]. It is the 8th [[prime numbers|prime]] [[prime EDO|edo]], following [[17edo]] and coming before [[23edo]].


== Theory ==
== Theory ==
In music, '''19 equal temperament''', called 19-TET, 19-[[EDO]], or 19-ET, is the scale derived by dividing the [[octave]] into 19 [[Equal]]ly large steps. Each step represents a frequency ratio of the 19th root of 2, or 63.16 [[cent|cents]]. It is the 8th [[prime numbers|prime]] [[prime EDO|edo]], following [[17edo]] and coming before [[23edo]].
=== History ===
=== History ===


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* 19-et has a lower relative error than any previous ETs in the 5- and 7-limit. The next ET that does better in these subgroups is 34 and 31, respectively.  
* 19et has a lower relative error than any previous ETs in the 5- and 7-limit. The next ET that does better in these subgroups is 34 and 31, respectively.  
* 19-et is most prominent in the 2.3.5.7.13 subgroup, and the next ET that does better in this is 53.  
* 19et is most prominent in the 2.3.5.7.13 subgroup, and the next ET that does better in this is 53.  


== Commas ==
== Commas ==