128/121
| Interval information |
Axirabian artomean minor second,
Axirabian diatonic semitone,
octave-reduced 121st subharmonic
reduced subharmonic
(Shannon, [math]\sqrt{nd}[/math])
[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 ¢.