Sharpness: Difference between revisions
No edit summary |
m Categories |
||
| Line 14: | Line 14: | ||
[https://sagittal.org/Periodic%20table%20of%20small%20EDOs%20large.png Sagittal notation's Periodic Table of EDOs]: arranges EDOs by their sharpness | [https://sagittal.org/Periodic%20table%20of%20small%20EDOs%20large.png Sagittal notation's Periodic Table of EDOs]: arranges EDOs by their sharpness | ||
[[Category:EDO theory pages]] | |||
Revision as of 20:44, 14 August 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
