User:BudjarnLambeth/Bird’s eye view of rank-2 temperaments: Difference between revisions

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== 1. Low complexity temperaments ==
== 1. Low complexity temperaments ==
Temperaments with less error than dicot and less complexity than magic.
Temperaments which approximate most of their consonant intervals with less than 30 notes, and where those intervals are mostly less than 20 cents out of tune.
 
 
(For comparison, in 12edo, most intervals are about 10 cents out of tune, with better fifths but less good thirds.)




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== 2. Medium complexity temperaments ==
== 2. Medium complexity temperaments ==
Temperaments with complexity in between magic and miracle (inclusive) and error less than diminished.
 
Temperaments which approximate most of their consonant intervals with less than 60 notes, and where those intervals are mostly less than 5 cents out of tune.




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== 3. High complexity temperaments ==
== 3. High complexity temperaments ==
Temperaments with complexity higher than miracle, and error less than mirace.
 
Temperaments where most of their consonant intervals are less than 1 cent out of tune.




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4. Honorable mentions
4. Honorable mentions
Temperaments which have low badness by some metric, but might not meet the criteria for the above lists.
 
Temperaments which are interesting in some way, but might not meet the criteria for the other lists.




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5. Exoemperaments
5. Exoemperaments
Temperaments which have as much error as dicot, or more.
 
Temperaments where most intervals are at least 20 cents out of tune.