153edo: Difference between revisions

Created page with "That's half of 306edo, it can't decide what fifth to use."
 
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m changed EDO intro to ED intro
 
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That's half of [[306edo]], it can't decide what fifth to use.
{{Infobox ET}}
{{ED intro}}
 
153edo 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.
 
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}}
 
=== Subsets and supersets ===
Since 153 factors into {{factorization|153}}, 153edo has subset edos {{EDOs| 3, 9, 17, and 51 }}.