36/19

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Interval information

Ratio

36/19

2.3.19 [2 2 -1⟩

Size in cents

1106.397¢

Names

undevicesimal major seventh,
Boethius' major seventh

19u7, inu 7th

[math]\text{M7}_{19}[/math]

Special properties

Tenney height (log₂ nd)

9.41785

Weil height (log₂ max(n, d))

10.3399

Wilson height (sopfr(nd))

29

Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])

~4.23748 bits

Open this interval in xen-calc

In 19-limit just intonation, 36/19 is the undevicesimal major seventh or Boethius' major seventh, measuring about 1106.4¢. It is flat of the Pythagorean major seventh (243/128) by 513/512, the undevicesimal comma aka Boethius' comma.

See also

19/18 – its octave complement, the large undevicesimal semitone
19/10 – the undevicesimal diminished octave
Gallery of just intervals

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