30/19: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| JI glyph =
| Name = small undevicesimal minor sixth, Eratosthenes' minor sixth
| Ratio = 30/19
| Color name = 19uy5, nuyo 5th
| Monzo = 1 1 1 0 0 0 0 -1
| Cents = 790.75570
| Name = small undevicesimal minor sixth, <br>Eratosthenes' minor sixth
| Color name =  
| FJS name = A5<sup>5</sup><sub>19</sub>
| Sound = jid_30_19_pluck_adu_dr220.mp3
| Sound = jid_30_19_pluck_adu_dr220.mp3
}}
}}


'''30/19''', the '''small undevicesimal minor sixth''' is a [[19-limit]] interval, 790.8 [[cent]]s in size. In [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is an ''augmented fifth'', obtained by subtracting [[81/80]] and [[513/512]] from the [[8192/6561|Pythagorean augmented fifth]], but it may be called the '''Eratosthenes' minor sixth''' as it is flatter than the [[128/81|Pythagorean minor sixth]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.
'''30/19''', the '''small undevicesimal minor sixth''' is a [[19-limit]] interval, 790.8 [[cent]]s in size. In the [[Functional Just System]] and [[Helmholtz-Ellis notation]], it is an ''augmented fifth'', obtained by subtracting [[81/80]] and [[513/512]] from the [[6561/4096|Pythagorean augmented fifth]], but it may be called the '''Eratosthenes' minor sixth''' as it is flatter than the [[128/81|Pythagorean minor sixth]] by the ''password'' aka ''Eratosthenes' comma'' ([[1216/1215]]), an [[unnoticeable comma]] of about 1.4243 cents.


== See also ==
== See also ==
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* [[Gallery of just intervals]]
* [[Gallery of just intervals]]


[[Category:19-limit]]
[[Category:Sixth]]
[[Category:Interval]]
[[Category:Minor sixth]]
[[Category:Minor sixth]]
[[Category:Sixth]]
[[Category:Eratosthenes]]
[[Category:Eratosthenes]]

Latest revision as of 02:31, 4 December 2022

Interval information
Ratio 30/19
Subgroup monzo 2.3.5.19 [1 1 1 -1⟩
Size in cents 790.7557¢
Names small undevicesimal minor sixth,
Eratosthenes' minor sixth
Color name 19uy5, nuyo 5th
FJS name [math]\displaystyle{ \text{A5}^{5}_{19} }[/math]
Special properties reduced
Tenney height (log2 nd) 9.15482
Weil height (log2 max(n, d)) 9.81378
Wilson height (sopfr(nd)) 29

[sound info]
Open this interval in xen-calc

30/19, the small undevicesimal minor sixth is a 19-limit interval, 790.8 cents in size. In the Functional Just System and Helmholtz-Ellis notation, it is an augmented fifth, obtained by subtracting 81/80 and 513/512 from the Pythagorean augmented fifth, but it may be called the Eratosthenes' minor sixth as it is flatter than the Pythagorean minor sixth by the password aka Eratosthenes' comma (1216/1215), an unnoticeable comma of about 1.4243 cents.

See also

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