269edo: Difference between revisions

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-The ''269 equal division'' divides the octave into 269 equal parts of 4.461 cents each. The patent val tempers out 6144/6125 in the 7-limit, 540/539 and  and 5632/5625 in the 11-limit and 364/363 and 676/675 in the 13-limit. The 269c val tempers out 225/224 and 4375/4374 in the 7-limit, and 269ce 385/384 in the 11-limit, so that it supports and provides an excellent tuning for [[Kleismic_family#Catakleismic|catakleismic]] and [[Marvel_family|marvel]] temperaments.
+{{Infobox ET}}
+{{ED intro}}
+edo is in[[consistent]] in the [[5-odd-limit]] and the errors of both [[harmonic]]s [[3/1|3]] and [[5/1|5]] are quite large. The [[patent val]] [[tempering out|tempers out]] [[6144/6125]] in the 7-limit, [[540/539]] and [[5632/5625]] in the 11-limit and [[364/363]] and [[676/675]] in the 13-limit. The 269c val tempers out [[225/224]] and [[4375/4374]] in the 7-limit, and 269ce [[385/384]] in the 11-limit, so that it [[support]]s and provides an excellent tuning for [[catakleismic]] and [[marvel]] temperaments.
+=== Odd harmonics ===
+{{Harmonics in equal|269}}
+=== Subsets and supersets ===
+edo is the 57th [[prime edo]].