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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]\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{n\cdot d}[/math])
~4.60802 bits

[sound info]
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