1024/891

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Interval information
Ratio 1024/891
Factorization 210 × 3-4 × 11-1
Monzo [10 -4 0 0 -1
Size in cents 240.8621¢
Name Alpharabian inframinor third
Color name s1u3, salu 3rd
FJS name [math]\displaystyle{ \text{m3}_{11} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 19.7993
Weil height (log2 max(n, d)) 20
Wilson height (sopfr(nd)) 43
Harmonic entropy
(Shannon, [math]\displaystyle{ \sqrt{nd} }[/math])
~4.21957 bits
Open this interval in xen-calc

1024/891, the Alpharabian inframinor third, is the basic inframinor third in the 2.3.11 subgroup. It differs from 8/7 by the pentacircle comma, and differs from 297/256 by the Betarabian comma. As suggested by its name, it is reached by subtracting a 33/32 quartertone from 32/27.

Among the more reasonably sized large EDOs that represent this interval and other intervals in its class- such as 8192/8019, 4096/2673 and 512/297- with a pretty good level of accuracy include 159edo.

See also