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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]] |
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| This terminology was developed by [[User:Xenllium|Xenllium]].
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| == Examples ==
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| Below is a list of octave-splitting commas for common temperaments:
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| {| class="wikitable"
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| ! Comma !! Associated <br>temperament !! Harmonic <br>limit !! Splitting <br>order
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| | [[256/243]] || [[Limmic temperaments|Blackwood]] || 3 || 5
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| |-
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| | [[2187/2048]] || [[Apotome family|Whitewood]] || 3 || 7
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| | [[531441/524288]] || [[Compton family|Compton]] || 3 || 12
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| | [[2048/2025]] || [[Diaschismic family|Diaschismic]] || 5 || 2
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| | [[128/125]] || [[Augmented family|Augmented]] || 5 || 3
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| |-
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| | [[648/625]] || [[Diminished family|Diminished]] || 5 || 4
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| | [[50/49]] || [[Jubilismic clan|Jubilismic]] || 7 || 2
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| | [[250047/250000]] || [[Landscape microtemperaments|Landscape]] || 7 || 3
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| | [[9801/9800]] || [[Kalismic temperaments|Kalismic]] || 11 || 2
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| | [[289/288]] || [[Semitonismic]] || 17 || 2
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| |}
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| == See also ==
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| * [[Fractional-octave temperaments]]
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| [[Category:Comma]]
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