32/19

Interval information

Ratio	32/19
Subgroup monzo	2.19 [5 -1⟩
Size in cents	902.487¢
Names	utonal major sixth, octave-reduced 19th subharmonic
Color name	19u6, inu 6th
FJS name	[math]\displaystyle{ \text{M6}_{19} }[/math]
Special properties	reduced, reduced subharmonic
Tenney height (log2 nd)	9.24793
Weil height (log2 max(n, d))	10
Wilson height (sopfr(nd))	29
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.1976 bits
[sound info]
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32/19 is a 19-limit interval, 902.5 cents in size, the utonal major sixth or octave-reduced 19th subharmonic, which is extremely close to the major sixth of 12edo (900 cents). It is an undevicesimal comma aka Boethius' comma (513/512) below the Pythagorean major sixth.

See also

• 19/16 – its octave complement
• Gallery of just intervals