Mercator's comma: Difference between revisions

Aura (talk | contribs)
No edit summary
Aura (talk | contribs)
No edit summary
Line 5: Line 5:
| Comma = yes
| Comma = yes
}}
}}
{{monzo|-84 53}}, known as '''Mercator's comma''' or the '''53-comma''', is a small comma of 3.615 cents which is the amount by which 53 fifths exceed 31 octaves, in other words (3/2)<sup>53</sup>/2<sup>31</sup>.  It is also the amount by which a stack of six [[Pythagorean comma]]s exceeds a [[Pythagorean kleisma]], and the amount by which a stack of eight [[apotome]]s exceeds a [[27/16]] major sixth.
{{monzo|-84 53}}, known as '''Mercator's comma''' or the '''53-comma''', is a small comma of 3.615 cents which is the amount by which 53 fifths exceed 31 octaves, in other words (3/2)<sup>53</sup>/2<sup>31</sup>.  It is also the amount by which a stack of four [[Pythagorean comma]]s exceeds a [[Pythagorean limma]], and the amount by which a stack of eight [[apotome]]s exceeds a [[27/16]] major sixth.


The comma is named for [[Wikipedia: Nicholas Mercator|Nicholas Mercator]], who first took note of it as a part of his study of [[53edo]].
The comma is named for [[Wikipedia: Nicholas Mercator|Nicholas Mercator]], who first took note of it as a part of his study of [[53edo]].