128/121: Difference between revisions
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| Color name = 1uu2, lulu 2nd | | Color name = 1uu2, lulu 2nd | ||
| Sound = Ji-128-121-csound-foscil-220hz.mp3 | | Sound = Ji-128-121-csound-foscil-220hz.mp3 | ||
| Comma = yes | |||
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'''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. Despite being nearly the size of a [[12edo]] semitone, it is tempered out in 12edo, which maps both [[11/8]] and [[16/11]] to the half octave period in its patent val. | '''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. Despite being nearly the size of a [[12edo]] semitone, it is tempered out in 12edo, which maps both [[11/8]] and [[16/11]] to the half octave period in its patent val. | ||
Revision as of 07:22, 20 January 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. Despite being nearly the size of a 12edo semitone, it is tempered out in 12edo, which maps both 11/8 and 16/11 to the half octave period in its patent val.