Sharpness: Difference between revisions
Cmloegcmluin (talk | contribs) formatting and additional info |
No edit summary |
||
| Line 1: | Line 1: | ||
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, | 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". | A sharp-0 EDO is also known as a "perfect EDO". | ||
Revision as of 16:41, 27 March 2021
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, 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".
See also
Kite's theory using the nomenclature of sharpness: (perhaps introducing?)
n-EDO Retuner plugin for Musescore 3.4+: uses sharpness to categorize EDOs for retuning
Sagittal notation's Periodic Table of EDOs: arranges EDOs by their sharpness
