346edo: Difference between revisions

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-''346edo'' divides the octave into 346 equal parts of size 3.468 cents each. While that is a lot of parts, not all of them must be used to gain the benefits of the tuning, which tempers out 19683/19600, 2401/2400, 243/242, 441/440, 540/539, 4000/3993 and 9801/9800. It is an excellent tuning for the 11-limit version of harry, the 72&amp;130 temperament, as well as the rank three temperament jove which tempers out 243/242 and 441/440.
+{{Infobox ET}}
-[[Category:Equal divisions of the octave]]
+{{ED intro}}
-[[Category:nano]]
+edo is [[consistent]] to the [[7-odd-limit]], but the errors of [[harmonic]]s [[3/1|3]], [[5/1|5]], and [[7/1|7]] are all quite large, commending itself as a 2.9.15.21.11 [[subgroup]] temperament. Using the [[patent val]] nonetheless, the equal temperament [[tempering out|tempers out]] [[243/242]], [[441/440]], [[540/539]], [[2401/2400]], [[4000/3993]], [[9801/9800]] and [[19683/19600]]. It is an excellent tuning for the 11-limit version of [[harry]], the 72 &amp; 274 temperament, as well as the rank-3 temperament [[jove]], which tempers out 243/242 and 441/440.
+=== Odd harmonics ===
+{{Harmonics in equal|346}}
+=== Subsets and supersets ===
+Since 346 factors into {{factorization|346}}, 346edo contains [[2edo]] and [[173edo]] as subsets.
+[[Category:Nano]]