243/176: Difference between revisions

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Aura (talk | contribs)
This 11-limit interval has been completely neglected, and currently isn't even listed on the Huygens-Fokker Foundation's interval list. Oh well, looks like I'm the one who gets to name it. Oh, and this is the interval I meant to refer to earlier- sorry for the confusion.
 
TallKite (talk | contribs)
added color name
 
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Name = Alpharabian infra-augmented fourth
| Ratio = 243/176
| Color name = L1u4, lalu 4th
| Monzo = -4 5 0 0 -1
| Cents = 558.45706
| Name = Alpharabian infraaugmented fourth
| Color name =
| FJS name =
| Sound =
}}
}}


'''243/176''', the ''' Alpharabian infraaugmented fourth''' or '''Alpharabian infraapotomic quartertone''' is an [[11-limit]] interval that differs from [[11/8]] by [[243/242]].  The term "infraaugmented" in the name of this interval comes from the fact that this interval is created by subtracting the [[33/32]] quartertone from [[729/512]]- the Pythagorean augmented fourth.
'''243/176''', the ''' Alpharabian infra-augmented fourth''' is an [[11-limit]] interval that differs from [[11/8]] by [[243/242]].  The term "infra-augmented" in the name of this interval comes from the fact that this interval is created by subtracting the [[33/32]] quartertone from [[729/512]], the Pythagorean augmented fourth.


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


[[Category:11-limit]]
[[Category:Fourth]]
[[Category:Interval ratio]]
[[Category:Superfourth]]
[[Category:Alpharabian]]
[[Category:Alpharabian]]

Latest revision as of 02:33, 29 December 2022

Interval information
Ratio 243/176
Factorization 2-4 × 35 × 11-1
Monzo [-4 5 0 0 -1
Size in cents 558.4571¢
Name Alpharabian infra-augmented fourth
Color name L1u4, lalu 4th
FJS name [math]\displaystyle{ \text{A4}_{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 15.3842
Weil norm (log2 max(n, d)) 15.8496
Wilson norm (sopfr(nd)) 34
Open this interval in xen-calc

243/176, the Alpharabian infra-augmented fourth is an 11-limit interval that differs from 11/8 by 243/242. The term "infra-augmented" in the name of this interval comes from the fact that this interval is created by subtracting the 33/32 quartertone from 729/512, the Pythagorean augmented fourth.

See also