Schisma: Difference between revisions

Godtone (talk | contribs)
m added more info on interpretation of this comma (and thus the consequences of tempering it)
Godtone (talk | contribs)
m improved wording
Line 16: Line 16:
}}
}}


The '''schisma''', '''32805/32768''', is the difference between the [[Pythagorean comma]] and the [[syntonic comma]]. It is equal to ([[9/8]])<sup>3</sup>/([[64/45]]). Tempering it out gives a [[5-limit]] microtemperament, which if extended to larger subgroups leads to the [[schismatic family]] of temperaments.
The '''schisma''', '''32805/32768''', is the difference between the [[Pythagorean comma]] and the [[syntonic comma]]. It is equal to ([[9/8]])<sup>3</sup>/([[64/45]]). Tempering it out gives a [[5-limit]] microtemperament called [[Schismatic family#Schismatic aka Helmholtz|schismatic, schismic or Hemholtz]], which if extended to larger subgroups leads to the [[schismatic family]] of temperaments.


== See also ==
== See also ==