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

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It might help to compare these temperaments to [[12edo]], a.k.a. the familiar 12-tone equal temperament which most modern music is tuned to by default. 12edo has, of course, 12 notes per equave, which makes it fairly small by temperament standards (but not abnormally so).  
It might help to compare these temperaments to [[12edo]], a.k.a. the familiar 12-tone equal temperament which most modern music is tuned to by default. 12edo has, of course, 12 notes per equave, which makes it fairly small by temperament standards (but not abnormally so).  


Most theorists interpret 12edo as a low-to-medium accuracy 5-limit temperament where the most important intervals (the fifth and octave) have an error less than 3 cents, while other notable intervals (like the thirds and sixths) have an error of about 14 cents. This interpretation is not universal, though.
Most theorists interpret 12edo as a 2.3.5 subgroup temperament which is about as accurate as most of the temperaments in the left-most column of the below table. This interpretation is not universal, though.


The second most common approach is to interpret it as a high-accuracy 2.3.17.19 subgroup temperament, where all of the intervals have an error less than 5 cents.
The second most common approach is to interpret 12edo as a high-accuracy 2.3.17.19 subgroup temperament, which is about as accurate as the temperaments in the middle columns of the table.


So that should provide a helpful point of comparison to measure these other temperaments against.
So that should provide a helpful point of comparison to measure these other temperaments against.