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.
'''153edo''' is the [[EDO|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.


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]]...
Notably, however, it represents [[11L 3s]].
 
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 (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 (inconsistent) and 21.


[[Category:Equal divisions of the octave]]
[[Category:Equal divisions of the octave]]