121/81: Difference between revisions

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Aura (talk | contribs)
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.
Yourmusic Productions (talk | contribs)
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'''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 [[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.


== See also ==
== See also ==
* [[162/121]] - its [[octave complement]]
* [[162/121]] - its [[octave complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]

Revision as of 23:21, 18 May 2023

Interval information
Ratio 121/81
Factorization 3-4 × 112
Monzo [0 -4 0 0 2
Size in cents 694.8159¢
Name Alpharabian narrow fifth
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 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.

See also