128/121: Difference between revisions
Adjusted names due to changes in Alpharabian-tuning-based terminology |
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{{Infobox Interval | {{Infobox Interval | ||
| Name = Axirabian limma, Axirabian artomean minor second, Axirabian diatonic semitone, octave-reduced 121st subharmonic | |||
| Color name = 1uu2, lulu 2nd | |||
| Name = Axirabian limma, | |||
| Color name = | |||
| Sound = Ji-128-121-csound-foscil-220hz.mp3 | | Sound = Ji-128-121-csound-foscil-220hz.mp3 | ||
| Comma = yes | |||
}} | }} | ||
'''128/121''', the '''Axirabian limma''', otherwise known as | '''128/121''', the '''Axirabian limma''', otherwise known as the '''Axirabian artomean minor second''', the '''Axirabian diatonic semitone''' and the '''octave-reduced 121st subharmonic''', is an [[11-limit]] semitone with a value of roughly 97.4 cents. It acts as the diatonic counterpart to the [[1089/1024]], with the two intervals adding up to a [[9/8]] whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely [[4096/3993]] and [[33/32]]- add up to 128/121. By tempering [[243/242]], the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning. | ||
In [[12edo]], it is tempered out despite being almost as large as an entire standard semitone, since 12edo's patent val maps [[11/8]] to the 600{{cent}} tritone, which results in [[16/11]] also getting mapped to 600{{cent}}. | |||
== See also == | == See also == | ||
* [[121/64]] – its [[octave complement]] | * [[121/64]] – its [[octave complement]] | ||
* [[Gallery of just intervals]] | |||
[[Category:Semitone]] | [[Category:Semitone]] | ||
[[Category:Alpharabian]] | [[Category:Alpharabian]] | ||
[[Category: | [[Category:Commas named after polymaths]] | ||
[[Category:Commas named after their interval size]] | |||
[[Category: | |||
Latest revision as of 20:39, 6 November 2024
| Interval information |
Axirabian artomean minor second,
Axirabian diatonic semitone,
octave-reduced 121st subharmonic
reduced subharmonic
[sound info]
128/121, the Axirabian limma, otherwise known as the Axirabian artomean minor second, the Axirabian diatonic semitone and the octave-reduced 121st subharmonic, is an 11-limit semitone with a value of roughly 97.4 cents. It acts as the diatonic counterpart to the 1089/1024, with the two intervals adding up to a 9/8 whole tone. Furthermore its status as a diatonic semitone can be verified by the fact that just as a diatonic semitone and a chromatic semitone add up to make a whole tone, a similar pairing of quartertones- namely 4096/3993 and 33/32- add up to 128/121. By tempering 243/242, the Axirabian limma can be made equal to the Pythagorean limma, allowing an 11-limit extension to standard pythagorean tuning.
In 12edo, it is tempered out despite being almost as large as an entire standard semitone, since 12edo's patent val maps 11/8 to the 600 ¢ tritone, which results in 16/11 also getting mapped to 600 ¢.