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 (log_{2} nd) | 8.15482 |
Weil height (log_{2} 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 |
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