27/22
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Ratio
27/22
Factorization
2-1 × 33 × 11-1
Monzo
[-1 3 0 0 -1⟩
Size in cents
354.5471¢
Names
rastmic neutral third,
Alpharabian tendoneutral third
Color name
1u3, lu 3rd
FJS name
[math]\text{M3}_{11}[/math]
Special properties
reduced
Tenney height (log2 nd)
9.21432
Weil height (log2 max(n, d))
9.50978
Wilson height (sopfr(nd))
22
Harmonic entropy
(Shannon, [math]\sqrt{nd}[/math])
~4.25985 bits
[sound info]
open this interval in xen-calc
| Interval information |
Alpharabian tendoneutral third
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
27/22, conventionally called the rastmic neutral third, is 243/242 (7.1 ¢) sharp of 11/9, and together with 11/9 makes 3/2, so that we obtain the two neutral triads, 1-11/9-3/2 and 1-27/22-3/2, with intervals of 11/9 and 27/22. It is the interval between 10/9 and 15/11, and 11/9 and 3/2 and their inversions. As this is the larger of two 11-limit neutral thirds obtained by modifying Pythagorean intervals by 33/32, it is dubbed the Alpharabian tendoneutral third in Alpharabian tuning.