135/128: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Name = ptolemaic chromatic semitone, major limma, major chroma, | | Name = ptolemaic chromatic semitone, major limma, major chroma, mavila comma | ||
| Color name = Ly1, layo unison,<br>Layobi comma | | Color name = Ly1, layo unison,<br>Layobi comma | ||
| Sound = jid_135_128_pluck_adu_dr220.mp3 | | Sound = jid_135_128_pluck_adu_dr220.mp3 | ||
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== Temperaments == | == Temperaments == | ||
If 135/128 is treated as a comma to be tempered out, it may be called the ''' | 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. | |||
== See also == | == See also == | ||
* [[256/135]] – its [[octave complement]] | * [[256/135]] – its [[octave complement]] | ||
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[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:Chroma]] | [[Category:Chroma]] | ||
[[Category: | [[Category:Mavila]] | ||
[[Category:Meantone]] | [[Category:Meantone]] | ||
{{todo|expand}} | {{todo|expand}} | ||
Revision as of 09:21, 16 August 2024
| Interval information |
major limma,
major chroma,
mavila comma
Layobi comma
reduced harmonic
[sound info]
The 5-limit interval 135/128, about 92.2 cents in size, is called the ptolemaic chromatic semitone, the major limma or the major chroma. It is a syntonic comma away from the Pythagorean chromatic semitone 2187/2048, and so is tuned justly in 1/7-comma meantone. Flattening by another syntonic comma reaches the even simpler 25/24. In regular 5-limit diatonic systems, it is the chromatic semitone that compliments 16/15, as the two semitones add up to 9/8.
Temperaments
If 135/128 is treated as a comma to be tempered out, it may be called the mavila comma. It represents the difference between three perfect fourths and a 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 semiconvergent. Aluminium temperament realizes this through a regular temperament lens.
See also
- 256/135 – its octave complement
- Aluminium comma - the difference between a stack of 13 instances of this interval and 2/1
- Gallery of just intervals
- Medium comma
- File:Ji-135-128-csound-foscil-220hz.mp3 – another sound example