18/11
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Ratio
18/11
Factorization
2 × 32 × 11-1
Monzo
[1 2 0 0 -1⟩
Size in cents
852.59206¢
Names
undecimal neutral sixth,
Alpharabian tendoneutral sixth
Color name
1u6, lu 6th
FJS name
[math]\text{M6}_{11}[/math]
Special properties
reduced
Tenney height (log2 nd)
7.62936
Weil height (log2 max(n, d))
8.33985
Wilson height (sopfr(nd))
19
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.2586 bits
[sound info]
open this interval in xen-calc
Interval information |
Alpharabian tendoneutral sixth
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
18/11 is an undecimal neutral sixth, and the octave complement of 11/9, the difference between the 11th and 9th harmonics. As this is the larger of two 11-limit neutral sixths obtained by modifying Pythagorean intervals by 33/32, it is dubbed the Alpharabian tendoneutral sixth in Alpharabian tuning.