15601edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
The '''15601 edo''' divides the octave into 15601 equal parts of 0.076918 cents each. It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo|665]], before [[31867edo|31867]], and has a fifth which is 0.000002 cents stretched. It is the 1819th [[prime edo]].
{{ED intro}} It is the denominator of the next convergent for log<sub>2</sub>3 past [[665edo|665]], before [[31867edo|31867]], and has a fifth which is 0.000002 cents stretched.  


[[Category:Equal divisions of the octave|#####]] <!-- 5-digit number -->
This system is at its best behavior in the 2.3.19.23 subgroup.
 
=== Prime harmonics ===
{{Harmonics in equal|15601}}
 
=== Subsets and supersets ===
15601edo is the 1819th [[prime edo]].
 
31202edo, which doubles 15601edo, provides a good correction to harmonics 5, 7, 11, 13 and 17. [[78005edo]], which slices each step of 15601edo in five, is notable for an exceptional approximation quality of the 5-limit.
 
 
{{Todo|inline=1|explain its xenharmonic value}}
[[Category:3-limit record edos|#####]] <!-- 5-digit number -->