135/128: Difference between revisions

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{{Infobox Interval

| Name = ptolemaic chromatic semitone, major limma, major chroma, ~~pelogic~~ comma

| Name = ptolemaic chromatic semitone, major limma, major chroma, mavila comma

| Color name = Ly1, layo unison,<br>Layobi comma

| Sound = jid_135_128_pluck_adu_dr220.mp3

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== Temperaments ==

If 135/128 is treated as a comma to be tempered out, it may be called the '''~~pelogic~~ comma'''. It represents the difference between three [[4/3|perfect fourth]]s and a [[5/4|just major third]] (plus an [[octave]]). Tempering it out results in [[mavila temperament]].

If 135/128 is treated as a comma to be [[tempering out|tempered out]], it may be called the '''mavila comma'''. It represents the difference between three [[4/3|perfect fourth]]s and a [[5/4|just major third]] (plus an [[octave]]). Tempering it out results in the [[mavila]] temperament.

135/128 is very close to one step of [[13edo]], in fact being a {{w|Continued fraction|semiconvergent}}. [[Aluminium]] temperament realizes this through a regular temperament lens.

~~135/128 is very close to one step of [[13edo]], in fact being a [[Wikipedia:Continued_fraction|semiconvergent]]. [[Aluminium]] temperament realizes this through a regular temperament lens.~~

== See also ==

* [[256/135]] – its [[octave complement]]

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[[Category:Semitone]]

[[Category:Chroma]]

[[Category:~~Pelogic~~]]

[[Category:Mavila]]

[[Category:Meantone]]

[[Category:Commas named after musical traditions]]

~~{{todo|expand}}~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| Name = ptolemaic chromatic semitone, major limma, major chroma, pelogic comma
+| Name = ptolemaic chromatic semitone, major limma, major chroma, mavila comma
 | Color name = Ly1, layo unison,<br>Layobi comma
 | Sound = jid_135_128_pluck_adu_dr220.mp3
@@ Line 9: / Line 9: @@
 == Temperaments ==
-If 135/128 is treated as a comma to be tempered out, it may be called the '''pelogic comma'''.  It represents the difference between three [[4/3|perfect fourth]]s and a [[5/4|just major third]] (plus an [[octave]]). Tempering it out results in [[mavila temperament]].
+If 135/128 is treated as a comma to be [[tempering out|tempered out]], it may be called the '''mavila comma'''. It represents the difference between three [[4/3|perfect fourth]]s and a [[5/4|just major third]] (plus an [[octave]]). Tempering it out results in the [[mavila]] temperament.
+/128 is very close to one step of [[13edo]], in fact being a {{w|Continued fraction|semiconvergent}}. [[Aluminium]] temperament realizes this through a regular temperament lens.
-/128 is very close to one step of [[13edo]], in fact being a [[Wikipedia:Continued_fraction|semiconvergent]]. [[Aluminium]] temperament realizes this through a regular temperament lens.
 == See also ==
 * [[256/135]] – its [[octave complement]]
@@ Line 21: / Line 22: @@
 [[Category:Semitone]]
 [[Category:Chroma]]
-[[Category:Pelogic]]
+[[Category:Mavila]]
 [[Category:Meantone]]
+[[Category:Commas named after musical traditions]]
-{{todo|expand}}