153edo: Difference between revisions

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-'''153edo''' is the [[EDO|equal division of the octave]] into 153 parts of 7.8431 [[cent]]s each.
+{{Infobox ET}}
+{{ED intro}}
-That's every second step of [[306edo]], with third harmonic falling exactly halfway between adjacent steps, so it can't decide what fifth to use, just like [[100edo]], [[47edo]] or [[35edo]]...
+edo corresponds to every second step of [[306edo]], with [[3/1|3rd]] [[harmonic]] falling almost exactly halfway between adjacent steps, resulting in multiple options for fifths, just like any [[dual-fifth system]]s.
-Notably however 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 and 21.
-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.
+=== Odd harmonics ===
+{{Harmonics in equal|153}}
-[[Category:Equal divisions of the octave]]
+=== Subsets and supersets ===
+Since 153 factors into {{factorization|153}}, 153edo has subset edos {{EDOs| 3, 9, 17, and 51 }}.