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Interval information
Ratio 19683/16384
Factorization 2-14 × 39
Monzo [-14 9
Size in cents 317.59501¢
Name Pythagorean augmented second
Color name lw2, Lawa 2nd
FJS name [math]\text{A2}[/math]
Special properties reduced,
reduced harmonic
Tenney height (log2 nd) 28.2647
Weil height (log2 max(n, d)) 28.5293
Wilson height (sopfr (nd)) 55
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.5106 bits
open this interval in xen-calc

The Pythagorean augmented 2nd, 19683/16384, may be reached by stacking 9 3/2's and octave reducing. It differs from the classic minor third, 6/5, by the schisma, and, as a result, the Pythagorean augmented second is in fact rather consonant. According to Aura, while 19683/16384 may take the place of the classic minor third in chords, its status as a augmented second means that it has a different function in terms of voice-leading. If it is tempered out, you set the fifth to 5/9 and divide the octave into 9 parts, although only 9edo does this in it's patent val. If it is used as a generator, it produces Hanson.

See also