19683/16384

Interval information

Ratio	19683/16384
Factorization	2-14 × 39
Monzo	[-14 9⟩
Size in cents	317.595¢
Name	Pythagorean augmented second
Color name	lw2, Lawa 2nd
FJS name	[math]\displaystyle{ \text{A2} }[/math]
Special properties	reduced, reduced harmonic
Tenney norm (log2 nd)	28.2647
Weil norm (log2 max(n, d))	28.5293
Wilson norm (sopfr(nd))	55
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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

• 8192/6561 – its fifth complement
• Gallery of just intervals
• Pythagorean tuning