531441/262144
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Ratio
531441/262144
Factorization
2-18 × 312
Monzo
[-18 12⟩
Size in cents
1223.46¢
Names
Pythagorean augmented seventh,
hexatone
Color name
LLw7, lalawa 7th
FJS name
[math]\text{A7}[/math]
Tenney height (log2 nd)
37.0196
Weil height (log2 max(n, d))
38.0391
Wilson height (sopfr(nd))
72
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.21909 bits
open this interval in xen-calc
| Interval information |
hexatone
(Shannon, [math]\sqrt{nd}[/math])
The Pythagorean augmented seventh, otherwise known as the hexatone, 531441/262144, is the interval found by stacking six (Pythagorean whole) tones (9/8). The Medieval music theorist Jacobus of Liège described it along with the ditone, tritone, tetratone, and pentatone, and noted that the hexatone was a rough discord, not equivalent to a pure octave;[1] it is wider than the octave by one Pythagorean comma.