59049/32768

Interval information
Ratio	59049/32768
Factorization	2-15 × 310
Monzo	[-15 10⟩
Size in cents	1019.55¢
Names	Pythagorean augmented sixth,; pentatone
Color name	Lw6, lawa 6th
FJS name	[math]\displaystyle{ \text{A6} }[/math]
Special properties	reduced,; reduced harmonic
Tenney norm (log2 nd)	30.8496
Weil norm (log2 max(n, d))	31.6993
Wilson norm (sopfr(nd))	60
	Open this interval in xen-calc

"Pentatone" redirects here. For systems with 5 note classes per octave, see Pentatonic.

The Pythagorean augmented sixth, otherwise known as the pentatone, 59049/32768, is the interval found by stacking five (Pythagorean whole) tones (9/8). It exceeds the classical minor seventh (9/5) by a schisma. The Medieval music theorist Jacobus of Liège described it along with the ditone, tritone, tetratone, and hexatone, and considered the pentatone to be highly discordant.^[1]

Notes