19683/16384
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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]\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{nd}[/math])
~4.10428 bits
open this interval in xen-calc
| Interval information |
Evadairean comma
reduced harmonic
(Shannon, [math]\sqrt{nd}[/math])
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.