14edo: Difference between revisions
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=== Octave stretch === | === Octave stretch === | ||
14edo benefits from [[octave stretch]] as harmonics 3, 7, and 11 are all tuned flat. [[22edt]] and [[ | 14edo benefits from [[octave stretch]] as harmonics 3, 7, and 11 are all tuned flat. [[22edt]], [[36ed6]] and [[42zpi]] are among the possible choices. | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
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! Approximate<br>Ratios 2 <ref group="note">Based on treating 14edo as an 11-limit temperament of {{val| 14 22 32 39 48}} (14c).</ref> | ! Approximate<br>Ratios 2 <ref group="note">Based on treating 14edo as an 11-limit temperament of {{val| 14 22 32 39 48}} (14c).</ref> | ||
! Approximate<br>Ratios 3 <ref group="note">Nearest 15-odd-limit intervals by [[direct approximation]].</ref> | ! Approximate<br>Ratios 3 <ref group="note">Nearest 15-odd-limit intervals by [[direct approximation]].</ref> | ||
! colspan="3" | [[Ups and | ! colspan="3" | [[Ups and downs notation]] | ||
! Interval Type | ! Interval Type | ||
! Audio | ! Audio | ||
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| [[File:piano_1_1edo.mp3]] | | [[File:piano_1_1edo.mp3]] | ||
|} | |} | ||
<references group="note" /> | |||
=== Sagittal notation === | === Sagittal notation === | ||
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0-3-8-11 = C vE G vB = Cv7 = C down-seven | 0-3-8-11 = C vE G vB = Cv7 = C down-seven | ||
For a more complete list, see [[Ups and | For a more complete list, see [[Ups and downs notation #Chords and Chord Progressions]]. | ||
== Approximation to JI == | == Approximation to JI == | ||
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==== Selected 13-limit intervals ==== | ==== Selected 13-limit intervals ==== | ||
[[File:14ed2-001.svg|alt=alt : Your browser has no SVG support.]] | [[File:14ed2-001.svg|alt=alt : Your browser has no SVG support.]] | ||
== Regular temperament properties == | == Regular temperament properties == | ||
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| Island comma | | Island comma | ||
|} | |} | ||
<references group="note" /> | |||
== Scales == | == Scales == | ||
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* 2 2 2 2 1 4 1 - Fennec{{idiosyncratic}} (original/default tuning) | * 2 2 2 2 1 4 1 - Fennec{{idiosyncratic}} (original/default tuning) | ||
* 1 4 1 2 2 2 2 - Inverse fennec{{idiosyncratic}} (original/default tuning) | * 1 4 1 2 2 2 2 - Inverse fennec{{idiosyncratic}} (original/default tuning) | ||
* 1 4 1 2 1 4 1 - | * 3 1 4 1 4 1 - Pseudo-[[augmented]] | ||
* 1 4 1 2 1 4 1 - Pseudo-double harmonic minor | |||
== Diagrams == | == Diagrams == | ||
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[[File:Libro_Tetradecafónico.PNG|alt=Libro_Tetradecafónico.PNG|Libro_Tetradecafónico.PNG|thumb|''Tetradecaphonic Scales for Guitar'' cover art.]] | [[File:Libro_Tetradecafónico.PNG|alt=Libro_Tetradecafónico.PNG|Libro_Tetradecafónico.PNG|thumb|''Tetradecaphonic Scales for Guitar'' cover art.]] | ||
* [[Sword, Ron]]. ''[http://www.metatonalmusic.com/books.html Tetradecaphonic Scales for Guitar: Scales, Chord-Scales, Notation, and Theory for Fourteen Equal Divisions of the Octave]''. 2009. | * [[Sword, Ron]]. ''[http://www.metatonalmusic.com/books.html Tetradecaphonic Scales for Guitar: Scales, Chord-Scales, Notation, and Theory for Fourteen Equal Divisions of the Octave]''. 2009. | ||
[[Category:14edo| ]] <!-- main article --> | [[Category:14edo| ]] <!-- main article --> | ||