32nd-octave temperaments: Difference between revisions

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{{Fractional-octave navigation|32}}
{{Technical data page}}
{{Infobox fractional-octave|32}}
These are temperaments with period 1/32 of an octave. 32edo is a wasteland as far as LCJI is concerned, but some of its multiples are good at harmonics, and thus can produce temperaments with period of 1/32 of an octave.
These are temperaments with period 1/32 of an octave. 32edo is a wasteland as far as LCJI is concerned, but some of its multiples are good at harmonics, and thus can produce temperaments with period of 1/32 of an octave.


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== Windrose ==
== Windrose ==
{{Mathematical interest}}
The temperament is called windrose because there are 32 cardinal directions commonly assigned to a compass rose. It is defined as the 608 & 1600 temperament. The [[maximal evenness]] pattern created inside the period is a 12L 7s, if mapped to a keyboard, which has a 2/3 step ratio and thus offers elegant microtempering that plays with the [[just noticeable difference]].  
The temperament is called windrose because there are 32 cardinal directions commonly assigned to a compass rose. It is defined as the 608 & 1600 temperament. The [[maximal evenness]] pattern created inside the period is a 12L 7s, if mapped to a keyboard, which has a 2/3 step ratio and thus offers elegant microtempering that plays with the [[just noticeable difference]].  


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[[Support|Supporting]] [[ET|ETs]]: {{EDOs|384bc, 608, 992, 1600, 2208, 2592}}
[[Support|Supporting]] [[ET|ETs]]: {{EDOs|384bc, 608, 992, 1600, 2208, 2592}}
Badness (Sintel): 79.660


== Germanium ==
== Germanium ==