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Interval information
Ratio 27/16
Factorization 2-4 × 33
Monzo [-4 3
Size in cents 905.865¢
Name Pythagorean major sixth
Color name w6, wa 6th
FJS name [math]\text{M6}[/math]
Special properties reduced
Tenney height (log2 nd) 8.75489
Weil height (log2 max(n, d)) 9.50978
Wilson height (sopfr (nd)) 17
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.53786 bits

[sound info]
open this interval in xen-calc

The Pythagorean major sixth, 27/16, may be reached by stacking three perfect fifths (3/2) and reducing by one octave. Compared to the more typical 5/3- with which it is conflated in meantone- this interval is more dissonant, with a harmonic entropy level roughly on par with that of 6/5. While many musicians prefer to use 5/3 as the major sixth interval above the Tonic in a diatonic context even in non-meantone settings, Aura is known to prefer this interval in those same contexts, though he still uses 5/3 as major sixth interval between certain non-tonic notes.

See also