121/81: Difference between revisions

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Realized that Kite is going to be better qualified for handling the color name, so the previous data on the color name for this interval has been deleted to make room for his contribution- hopefully, he can also figure out what to do with 729/484 at the same time.
mention 729/484
 
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{{Infobox Interval
{{Infobox Interval
| Name = Alpharabian narrow fifth
| Name = Alpharabian narrow fifth
| Color name =  
| Color name = 1oo5, lolo 5th
| Sound =  
| Sound =  
}}
}}


'''121/81''', the '''Alpharabian narrow fifth''' (694.8¢), is [[243/242]] (7.1¢) below the just fifth [[3/2]].  It is the interval created by stacking two [[11/9]] neutral thirds, and can be considered a [[meantone]] fifth.
'''121/81''', the '''Alpharabian narrow fifth''' (694.8¢), is a rastma [[243/242]] (7.1¢) below the just fifth [[3/2]].  It is the interval created by stacking two [[11/9]] neutral thirds, and can be considered a [[meantone]] fifth. It differs from the marvellous fifth [[112/75]] by [[3025/3024]]. Since [[38edo]] represents 11/9 near perfectly, it also represents this near perfectly as well.
 
When treated as a meantone fifth, it is incredibly close to [[1/3-comma meantone]], three of these intervals differing from [[5/3]] by only the [[parimo]].


== See also ==
== See also ==
* [[162/121]] - its [[octave complement]]
* [[162/121]] - its [[octave complement]]
* [[729/484]] - the Alpharabian wide fifth
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
[[Category:Fifth]]

Latest revision as of 00:49, 18 March 2026

Interval information
Ratio 121/81
Factorization 3-4 × 112
Monzo [0 -4 0 0 2
Size in cents 694.8159¢
Name Alpharabian narrow fifth
Color name 1oo5, lolo 5th
FJS name [math]\displaystyle{ \text{d5}^{11,11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 13.2587
Weil norm (log2 max(n, d)) 13.8377
Wilson norm (sopfr(nd)) 34
Open this interval in xen-calc

121/81, the Alpharabian narrow fifth (694.8¢), is a rastma 243/242 (7.1¢) below the just fifth 3/2. It is the interval created by stacking two 11/9 neutral thirds, and can be considered a meantone fifth. It differs from the marvellous fifth 112/75 by 3025/3024. Since 38edo represents 11/9 near perfectly, it also represents this near perfectly as well.

When treated as a meantone fifth, it is incredibly close to 1/3-comma meantone, three of these intervals differing from 5/3 by only the parimo.

See also