135/128: Difference between revisions
Jump to navigation
Jump to search
Userminusone (talk | contribs) No edit summary |
m Change/remove expand/stub in accordance with XW:IntTodo |
||
| (18 intermediate revisions by 9 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Name = ptolemaic chromatic semitone, major limma, major chroma, mavila comma | |||
| Color name = Ly1, layo unison,<br>Layobi comma | |||
| Name = | |||
| Color name = Ly1, layo unison | |||
| Sound = jid_135_128_pluck_adu_dr220.mp3 | | Sound = jid_135_128_pluck_adu_dr220.mp3 | ||
| Comma = yes | |||
}} | }} | ||
The 5-limit interval '''135/128''', about 92.2 [[cent]]s in size, is called the ''' | The [[5-limit]] interval '''135/128''', about 92.2 [[cent]]s 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 [[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]] | |||
* [[Aluminium comma]] - the difference between a stack of 13 instances of this interval and [[2/1]] | |||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
* [[Medium comma]] | * [[Medium comma]] | ||
* [[:File:Ji-135-128-csound-foscil-220hz.mp3]] – another sound example | * [[:File:Ji-135-128-csound-foscil-220hz.mp3]] – another sound example | ||
[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:Chroma]] | [[Category:Chroma]] | ||
[[Category: | [[Category:Mavila]] | ||
[[Category:Meantone]] | [[Category:Meantone]] | ||
[[Category: | [[Category:Commas named after musical traditions]] | ||
Latest revision as of 07:26, 3 January 2025
| 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