19/15: Difference between revisions

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m +FJS name; +links; recategories
I figured any interval involving 19/5 may be called eratosthenes
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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  
| Name = greater 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''' is a [[19-limit]] interval, 409.2 [[cent]]s in size, that is sharper than the [[Pythagorean]] major third by the ''password'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.
'''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.


== See also ==
== See also ==
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[[Category:Major third]]
[[Category:Major third]]
[[Category:Third]]
[[Category:Third]]
[[Category:Password]]
[[Category:Eratosthenes]]
[[Category:Listen]]
[[Category:Listen]]


[[Category:Todo:expand]]
[[Category:Todo:expand]]

Revision as of 12:39, 5 February 2021

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 norm (log2 nd) 8.15482
Weil norm (log2 max(n, d)) 8.49586
Wilson norm (sopfr(nd)) 27

[sound info]
Open this interval in xen-calc

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