121/64

Interval information

Ratio	121/64
Factorization	2-6 × 112
Monzo	[-6 0 0 0 2⟩
Size in cents	1102.636¢
Names	Alpharabian major seventh, octave-reduced 121st harmonic
FJS name	[math]\displaystyle{ \text{m7}^{121} }[/math]
Special properties	reduced, reduced harmonic
Tenney height (log2 nd)	12.9189
Weil height (log2 max(n, d))	13.8377
Wilson height (sopfr(nd))	34
Open this interval in xen-calc

121/64, the Alpharabian major seventh, or octave-reduced 121st harmonic, is an 11-limit interval that results from stacking two 11/8 fourths. While the FJS and other systems that treat 33/32 as a comma end up designating 121/64 as a "minor seventh", this interval actually functions as a kind of major seventh- a property that is particularly evident when you consider that its octave complement is a type of diatonic semitone.

See also

• 128/121 – its octave complement