19/15: Difference between revisions

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'''19/15'''
{{Infobox interval
|0 -1 -1 0 0 0 0 1>
| Name = large undevicesimal major third, Eratosthenes' major third
| Color name = 19og4, nogu 4th
| Sound = jid_19_15_pluck_adu_dr220.mp3
}}


409.2443 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 [[8192/6561|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.


[[File:jid_19_15_pluck_adu_dr220.mp3]] [[:File:jid_19_15_pluck_adu_dr220.mp3|sound sample]]
== See also ==
* [[30/19]] – its [[octave complement]]
* [[45/38]] – its [[fifth complement]]
* [[24/19]] – the small undevicesimal major third
* [[Gallery of just intervals]]


'''19/15''' is a [[19-limit|19-limit]] interval, 409.2 [[cent|cents]] in size, that is sharper than the [[Pythagorean|Pythagorean]] major third by the ''Password'' (1216/1215), an [[Unnoticeable_commas|unnoticeable comma]] of about 1.4243 cents.
[[Category:Major third]]
[[Category:19-limit]]
[[Category:Third]]
[[Category:just_interval]]
[[Category:Eratosthenes]]
[[Category:major_third]]
[[Category:superpyth]]