153edo: Difference between revisions

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 {{Infobox ET}}
-'''153edo''' is the [[equal division of the octave]] into 153 parts of 7.8431 [[cent]]s each.  As such, this EDO corresponds to every second step of [[306edo]], with third harmonic falling almost exactly halfway between adjacent steps, resulting in multiple options for fifths, just like with [[100edo]], [[47edo]] or [[35edo]], although the [[patent fifth]] is 89\153.
+{{EDO intro}}
+edo corresponds to every second step of [[306edo]], with third harmonic falling almost exactly halfway between adjacent steps, resulting in multiple options for fifths, just like any [[dual-fifth system]]s.
 Notably, however, it represents [[11L 3s]].
-Using 153edo for 2.9.21.11/5 subgroup, it tempers out 9801/9800, 40353607/40310784, and 645922816/645700815 with patent 9 (inconsistent) and 21.
+Using 153edo for 2.9.21.11/5 subgroup, it tempers out [[9801/9800]], [[40353607/40310784]], and 645922816/645700815 with patent 9 and 21.
+=== Odd harmonics ===
+{{Harmonics in equal|153}}
-[[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->
+=== Subsets and supersets ===
+Since 153 factors into {{factorization|153}}, 153edo has subset edos {{EDOs| 3, 9, 17, and 51 }}.