27/22
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Ratio | 27/22 |
Factorization | 2^{-1} × 3^{3} × 11^{-1} |
Monzo | [-1 3 0 0 -1⟩ |
Size in cents | 354.54706¢ |
Names | rastmic neutral third, Alpharabian tendoneutral third |
Color name | 1u3, lu 3rd |
FJS name | [math]\text{M3}_{11}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 9.21432 |
Weil height (log_{2} 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 |
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.