19/15: Difference between revisions

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{{Infobox ~~Interval~~

{{Infobox interval

~~| Ratio = 19/15~~

| Name = large undevicesimal major third, Eratosthenes' major third

~~| Monzo = 0 -1 -1 0 0 0 0 1~~

~~| Cents = 409.24430~~

| Name = large undevicesimal major third, ~~ ~~Eratosthenes' major third

| Color name = 19og4, nogu 4th

~~| FJS name = d4195~~

| Sound = jid_19_15_pluck_adu_dr220.mp3

}}

'''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.

'''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.

== See also ==

* [[30/19]] – its [[octave complement]]

* [[45/38]] – its [[fifth complement]]

* [[24/19]] – the small undevicesimal major third

* [[Gallery of just intervals]]

~~[[Category:19-limit]]~~

[[Category:Major third]]

[[Category:Third]]

[[Category:Eratosthenes]]

~~[[Category:Pages with internal sound examples]]~~

@@ Line 1: / Line 1: @@
-{{Infobox Interval
+{{Infobox interval
-| Ratio = 19/15
+| Name = large undevicesimal major third, Eratosthenes' major third
-| Monzo = 0 -1 -1 0 0 0 0 1
-| Cents = 409.24430
-| Name = large undevicesimal major third, <br>Eratosthenes' major third
 | Color name = 19og4, nogu 4th
-| FJS name = d4<sup>19</sup><sub>5</sub>
 | Sound = jid_19_15_pluck_adu_dr220.mp3
 }}
-'''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.
+'''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.
 == See also ==
 * [[30/19]] – its [[octave complement]]
+* [[45/38]] – its [[fifth complement]]
 * [[24/19]] – the small undevicesimal major third
 * [[Gallery of just intervals]]
-[[Category:19-limit]]
 [[Category:Major third]]
 [[Category:Third]]
 [[Category:Eratosthenes]]
-[[Category:Pages with internal sound examples]]