19/15

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Interval information
Ratio 19/15
Subgroup monzo 3.5.19 [-1 -1 1
Size in cents 409.2443¢
Names large undevicesimal major third,
Eratosthenes' major third
Color name 19og4, nogu 4th
FJS name [math]\text{d4}^{19}_{5}[/math]
Special properties reduced
Tenney height (log2 n⋅d) 8.15482
Weil height (max(n, d)) 19
Benedetti height (n⋅d) 285
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.55198 bits

[sound info]
open this interval in xen-calc

19/15, the large undevicesimal major third is a 19-limit interval, 409.2 cents in size. In the Functional Just System and Helmholtz-Ellis notation, it is a diminished fourth, obtained by adding 81/80 and 513/512 to the Pythagorean diminished fourth, but it may be called the Eratosthenes' major third as it is sharper than the Pythagorean major third by the password aka Eratosthenes' comma (1216/1215), an unnoticeable comma of about 1.4243 cents.

See also