1166edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|1166}} 1166edo is consistent in the 9-odd-limit. In the 5-limit, 1166edo naturally lends itself to interpretation as a superset of 22edo and [..." |
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In the 5-limit, 1166edo naturally lends itself to interpretation as a superset of [[22edo]] and [[53edo]]. It inherits the mapping for [[3/2]] from 53edo, tempering out the 53rd-octave [[Mercator's comma]], {{monzo|-84 53}}, as well as the 22nd-octave [[major arcana]] comma, {{monzo|-193 154 -22}}. In the 7-limit, it tempers out [[2401/2400]], [[65625/65536]], and {{monzo|36 -50 15 3}}, providing a tuning for the [[tertiaseptal]] temperament. | In the 5-limit, 1166edo naturally lends itself to interpretation as a superset of [[22edo]] and [[53edo]]. It inherits the mapping for [[3/2]] from 53edo, tempering out the 53rd-octave [[Mercator's comma]], {{monzo|-84 53}}, as well as the 22nd-octave [[major arcana]] comma, {{monzo|-193 154 -22}}. In the 7-limit, it tempers out [[2401/2400]], [[65625/65536]], and {{monzo|36 -50 15 3}}, providing a tuning for the [[tertiaseptal]] temperament. | ||
In higher limits, it is a strong 2.3.17.19.41.43 subgroup tuning. | In higher limits, it is a strong 2.3.17.19.41.43 subgroup tuning. Alternatively, 2.3.7/5.13/11.17.19 is also a strong subgroup choice. | ||
=== Prime harmonics === | === Prime harmonics === | ||