36/19
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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]\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]\sqrt{nd}[/math])
~4.23748 bits
[sound info]
open this interval in xen-calc
| Interval information |
Boethius' major seventh
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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