121/64
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Ratio
121/64
Factorization
2-6 × 112
Monzo
[-6 0 0 0 2⟩
Size in cents
1102.636¢
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{nd}[/math])
~4.23343 bits
open this interval in xen-calc
| Interval information |
octave-reduced 121st harmonic
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.