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Interval information
Ratio 121/64
Factorization 2-6 × 112
Monzo [-6 0 0 0 2
Size in cents 1102.6359¢
Names Axirabian tendomean major seventh,
octave-reduced 121st harmonic
Color name 1oo7, lolo 7th
FJS name [math]\text{m7}^{11,11}[/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
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.59195 bits
open this interval in xen-calc

121/64, the Axirabian tendomean 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