27/22
(Redirected from 27 22)
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| Ratio | 27/22 |
| Factorization | 2-1 × 33 × 11-1 |
| Monzo | [-1 3 0 0 -1⟩ |
| Size in cents | 354.54706¢ |
| Names | rastmic neutral third, Alpharabian tendoneutral third |
| Color name | 1u3, lu 3rd |
| FJS name | [math]\text{M3}_{11}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 9.21432 |
| Weil height (log2 max(n, d)) | 9.50978 |
| Wilson height (sopfr (nd)) | 22 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.58791 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.