121/64
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Ratio | 121/64 |
Factorization | 2^{-6} × 11^{2} |
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 (log_{2} nd) | 12.9189 |
Weil height (log_{2} 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 |
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.