19/15: Difference between revisions

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.

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 {{Infobox Interval
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-'''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size. In [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is a ''diminished fourth'', obtained by adding [[81/80]] and [[513/512]] to the [[6561/4096|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.
+'''19/15''', the '''large undevicesimal major third''' is a [[19-limit]] interval, 409.2 [[cent]]s 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 [[6561/4096|Pythagorean diminished fourth]], but it may be called the '''Eratosthenes' major third''' as it is sharper than the [[81/64|Pythagorean major third]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.
 == See also ==
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 [[Category:19-limit]]
-[[Category:Interval]]
 [[Category:Major third]]
 [[Category:Third]]
 [[Category:Eratosthenes]]
-[[Category:Listen]]
+[[Category:Pages with internal sound examples]]

Revision as of 03:45, 15 December 2021