19/15
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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 nd)
8.15482
Weil height (log2 max(n, d))
8.49586
Wilson height (sopfr(nd))
27
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.25081 bits
[sound info]
open this interval in xen-calc
| Interval information |
Eratosthenes' major third
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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
- 30/19 – its octave complement
- 24/19 – the small undevicesimal major third
- Gallery of just intervals