19683/16384

Interval information

Ratio	19683/16384
Factorization	2-14 × 39
Monzo	[-14 9⟩
Size in cents	317.595¢
Names	Pythagorean augmented second, Evadairean comma
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 second, 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 and some may consider it a minor third (see Interval region).

Temperaments

When this ratio is taken as a comma to be tempered out, it produces the tervenna temperament, and has been named the Evadairean comma (by analogy with the Pythagorean comma not sharing its name with compton temperament). Edos tempering it out include 9edo, as well as 18edo if its flat fifth is used. It can be used as a generator for hanson.

See also

• 32768/19683 – its octave complement
• 8192/6561 – its fifth complement
• Gallery of just intervals
• Pythagorean tuning