19683/16384
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Ratio | 19683/16384 |
Factorization | 2^{-14} × 3^{9} |
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 (log_{2} nd) | 28.2647 |
Weil height (log_{2} 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.