1749edo: Difference between revisions

Eliora (talk | contribs)
Fix misinformation; improve links; - redundant category
Line 3: Line 3:


== Theory ==
== Theory ==
1749edo is [[consistent]] in the 7-odd-limit with strong approximations, however the approximation to the 11th harmonic is poor. The most straightforward extension is the 2.3.5.7.13.17.31 subgroup.  
1749edo is [[consistent]] in the [[9-odd-limit]] with strong approximations; however the approximation to the [[11/1|11th harmonic]] is poor. The most straightforward extension is the 2.3.5.7.13.17.31 subgroup.  


It provides the optimal patent val for the [[aemilic]] temperament in the [[7-limit]], as a multiple of [[159edo]].
It is part of the [[optimal ET sequence]] for the [[aemilic]] temperament in the [[7-limit]], as a multiple of [[159edo]].


1749e val is the most straightforward extension into the 11-limit, as it is better tuned than the patent val and strongly supports 11-limit [[aemilic]] extension.
1749e val is the most straightforward extension into the 11-limit, as it is better tuned than the patent val and strongly supports 11-limit [[aemilic]] extension.


=== Prime harmonics ===
{{Harmonics in equal|1749}}
{{Harmonics in equal|1749}}
[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->