135/128: Difference between revisions

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{{Infobox Interval

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

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

| Color name = Ly1, layo unison,<br>LybM, layobima

| Sound = jid_135_128_pluck_adu_dr220.mp3

| Comma = yes

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== Temperaments ==

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.

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]]), or the difference between [[9/8]] and [[16/15]]. 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.

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[[Category:Meantone]]

[[Category:Commas named after musical traditions]]

~~{{todo|expand}}~~

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Name = ptolemaic chromatic semitone, major limma, major chroma, mavila comma
-| Color name = Ly1, layo unison,<br>Layobi comma
+| Color name = Ly1, layo unison,<br>LybM, layobima
 | Sound = jid_135_128_pluck_adu_dr220.mp3
 | Comma = yes
@@ Line 9: / Line 9: @@
 == Temperaments ==
-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.
+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]]), or the difference between [[9/8]] and [[16/15]]. 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.
@@ Line 25: / Line 25: @@
 [[Category:Meantone]]
 [[Category:Commas named after musical traditions]]
-{{todo|expand}}