Phaotic comma: Difference between revisions
Jump to navigation
Jump to search
+etymology |
No edit summary |
||
| Line 10: | Line 10: | ||
}} | }} | ||
The '''phaotic comma''', or '''phaotisma''' (from Ancient Greek ''pháos'' 'light'), is an [[unnoticeable comma|unnoticeable]] [[13-limit]] (also 2.3.5.13 subgroup) comma with a ratio of '''256000/255879''', and a size of approximately 0.82 [[cent]]s. It is significant in that it is the interval separating a stack of two [[81/80|meantone commas]] from [[40/39]]. | The '''phaotic comma''', or '''phaotisma''' (from Ancient Greek ''pháos'' 'light'), is an [[unnoticeable comma|unnoticeable]] [[13-limit]] (also 2.3.5.13 subgroup) comma with a ratio of '''256000/255879''', and a size of approximately 0.82 [[cent]]s. It is significant in that it is the interval separating a stack of two [[81/80|meantone commas]] from [[40/39]], as well as the interval separating an octave-reduced stack of three instances of [[27/20]] from [[16/13]]. | ||
== Temperaments == | == Temperaments == | ||
Revision as of 19:25, 25 August 2021
| Interval information |
phaotisma
The phaotic comma, or phaotisma (from Ancient Greek pháos 'light'), is an unnoticeable 13-limit (also 2.3.5.13 subgroup) comma with a ratio of 256000/255879, and a size of approximately 0.82 cents. It is significant in that it is the interval separating a stack of two meantone commas from 40/39, as well as the interval separating an octave-reduced stack of three instances of 27/20 from 16/13.
Temperaments
Tempering it out splits 40/39 into two equal halves, each representing 81/80. It leads to a form of phaotismic temperament in the full 13-limit and phaotic temperament in the 2.3.5.13 subgroup.