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2026-05-20T09:33:32Z

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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'' > 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~~]]

Xenllium: Created page with "'''Octave-splitting commas''' are rational intervals which induce fractional-octave temperaments. If tempering out the comma leads to splitting the octave into ''N'' equal parts (''N'' > 1), the comma is an octave-splitting comma which induces an ''N''th-octave temperament. This terminology was developed by Xenllium. == Examples == Below is a list of octave-splitting commas for common temperaments: {| class="wikitable" |- ! Comma !!..."

2026-05-20T09:02:33Z

Created page with "'''Octave-splitting commas''' are rational intervals which induce fractional-octave temperaments. If tempering out the comma leads to splitting the octave into ''N'' equal parts (''N'' > 1), the comma is an octave-splitting comma which induces an ''N''th-octave temperament. This terminology was developed by Xenllium. == Examples == Below is a list of octave-splitting commas for common temperaments: {| class="wikitable" |- ! Comma !!..."

New page

'''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'' > 1), the comma is an octave-splitting comma which induces an ''N''th-octave temperament.

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]]

Octave-splitting comma - Revision history

FloraC: Merge