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243/176

Revision as of 00:05, 21 November 2021 by 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.)
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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.

Interval information
Ratio 243/176
Factorization 2-4 × 35 × 11-1
Monzo [-4 5 0 0 -1⟩
Size in cents 558.4571¢
Name Alpharabian infraaugmented fourth
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

See also

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