Octave-splitting comma: Difference between revisions

Latest revision as of 09:33, 20 May 2026

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-'''Octave-splitting commas''' are rational [[interval]]s which induce [[fractional-octave temperaments]]. If tempering out the comma leads to splitting the [[octave]] into ''N'' equal parts (''N'' &gt; 1), the comma is an octave-splitting comma which induces an ''N''th-octave temperament.
+#redirect [[Fractional-octave temperaments #Octave-splitting comma]]
-This terminology was developed by [[User:Xenllium|Xenllium]].
-== Examples ==
-Below is a list of octave-splitting commas for common temperaments:
-{| class="wikitable"
-|-
-! Comma !! Associated <br>temperament !! Harmonic <br>limit !! Splitting <br>order
-|-
-| [[256/243]] || [[Limmic temperaments|Blackwood]] || 3 || 5
-|-
-| [[2187/2048]] || [[Apotome family|Whitewood]] || 3 || 7
-|-
-| [[531441/524288]] || [[Compton family|Compton]] || 3 || 12
-|-
-| [[2048/2025]] || [[Diaschismic family|Diaschismic]] || 5 || 2
-|-
-| [[128/125]] || [[Augmented family|Augmented]] || 5 || 3
-|-
-| [[648/625]] || [[Diminished family|Diminished]] || 5 || 4
-|-
-| [[50/49]] || [[Jubilismic clan|Jubilismic]] || 7 || 2
-|-
-| [[250047/250000]] || [[Landscape microtemperaments|Landscape]] || 7 || 3
-|-
-| [[9801/9800]] || [[Kalismic temperaments|Kalismic]] || 11 || 2
-|-
-| [[289/288]] || [[Semitonismic]] || 17 || 2
-|}
-== See also ==
-* [[Fractional-octave temperaments]]
-[[Category:Comma]]