19/15: Difference between revisions

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I figured any interval involving 19/5 may be called eratosthenes
"greater" > "large" in accordance with scala
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| Monzo = 0 -1 -1 0 0 0 0 1
| Monzo = 0 -1 -1 0 0 0 0 1
| Cents = 409.24430
| Cents = 409.24430
| Name = greater undevicesimal major third, <br>Eratosthenes' major third
| Name = large undevicesimal major third, <br>Eratosthenes' major third
| Color name = 19og4, nogu 4th
| Color name = 19og4, nogu 4th
| FJS name = d4<sup>19</sup><sub>5</sub>
| FJS name = d4<sup>19</sup><sub>5</sub>
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}}
}}


'''19/15''', the '''greater undevicesimal major third''' or '''Eratosthenes' major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size, that is sharper than the [[81/64|Pythagorean major third]] by the ''password'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.
'''19/15''', the '''large undevicesimal major third''' or '''Eratosthenes' major third''' is a [[19-limit]] interval, 409.2 [[cent]]s in size, that 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 ==
== See also ==
* [[30/19]] – its [[octave complement]]
* [[30/19]] – its [[octave complement]]
* [[24/19]] – the lesser undevicesimal major third  
* [[24/19]] – the small undevicesimal major third  
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


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[[Category:Eratosthenes]]
[[Category:Eratosthenes]]
[[Category:Listen]]
[[Category:Listen]]
[[Category:Todo:expand]]

Revision as of 12:50, 5 February 2021

Interval information
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]\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

[sound info]
Open this interval in xen-calc

19/15, the large 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 aka Eratosthenes' comma (1216/1215), an unnoticeable comma of about 1.4243 cents.

See also