36/19

Interval information

Ratio	36/19
Subgroup monzo	2.3.19 [2 2 -1⟩
Size in cents	1106.397¢
Names	undevicesimal major seventh, Boethius' major seventh
Color name	19u7, inu 7th
FJS name	[math]\displaystyle{ \text{M7}_{19} }[/math]
Special properties	reduced
Tenney height (log2 nd)	9.41785
Weil height (log2 max(n, d))	10.3399
Wilson height (sopfr(nd))	29
Harmonic entropy (Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])	~4.23748 bits
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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