19/15

Revision as of 12:39, 5 February 2021 by FloraC (talk | contribs) (I figured any interval involving 19/5 may be called eratosthenes)
Interval information
Ratio 19/15
Subgroup monzo 3.5.19 [-1 -1 1
Size in cents 409.2443¢
Names greater undevicesimal major third,
Eratosthenes' major third
Color name 19og4, nogu 4th
FJS name [math]\displaystyle{ \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

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19/15, the greater undevicesimal major third or Eratosthenes' major third is a 19-limit interval, 409.2 cents in size, that is sharper than the Pythagorean major third by the password (1216/1215), an unnoticeable comma of about 1.4243 cents.

See also