Sharpness: Difference between revisions

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-Of an EDO, this is the count of steps it maps the [[apotome]] to; in other words, it is the size of its sharp.
+The '''sharpness''' of an EDO is the number of steps it maps the [[apotome]] to; in other words, it is the difference between seven of its best approximation of [[3/2]] and four octaves.
-For example, 12-EDO maps the apotome to one step; it has a sharpness of 1. We could say it is a sharp-1 EDO. On the other hand, 17-EDO maps the apotome to two steps, so it is a sharp-2 EDO.
+For example, [[12edo]] maps the apotome to one step; it has a sharpness of 1. We could say it is a sharp-1 EDO. On the other hand, [[17edo]] maps the apotome to two steps, so it is a sharp-2 EDO.
+Some EDOs, such as [[16edo]], have fifths flat enough that the apotome is mapped to a negative number of steps. Since 16edo has the apotome mapped to −1 step, it is a flat-1 EDO.
 A sharp-0 EDO is also known as a "perfect EDO".