128/121

Interval information

Ratio	128/121
Factorization	27 × 11-2
Monzo	[7 0 0 0 -2⟩
Size in cents	97.36412¢
Names	Alpharabian diatonic semitone, octave-reduced 121st subharmonic
FJS name	[math]\displaystyle{ \text{M2}_{121} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	13.9189
Weil height (log2 max(n, d))	14
Wilson height (sopfr(nd))	36
[sound info]
Open this interval in xen-calc

128/121, the Alpharabian diatonic semitone, or octave-reduced 121st subharmonic, is an 11-limit semitone with a value of roughly 97.4 cents. As the name "Alpharabian diatonic semitone" suggests, 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 121/128.

See also

• 121/64 – its octave complement