1728/1715
Jump to navigation
Jump to search
| Ratio | 1728/1715 |
| Factorization | 26 × 33 × 5-1 × 7-3 |
| Monzo | [6 3 -1 -3⟩ |
| Size in cents | 13.073569¢ |
| Name | orwellisma |
| Color name | r3g-2, triru-agu negative 2nd, Triru-agu comma |
| FJS name | [math]\text{m}{-2}_{5,7,7,7}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 21.4989 |
| Weil height (log2 max(n, d)) | 21.5098 |
| Wilson height (sopfr (nd)) | 47 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~3.05259 bits |
| Comma size | small |
| S-expression | S6 / S7 |
| open this interval in xen-calc | |
1728/1715, the orwellisma, is a small 7-limit comma measuring about 13.1 cents. It is equal to (8/5)/(7/6)3 and thus often makes sense to temper in any temperament where the generator (or a multiple thereof) is a slightly sharpened 7/6, such as in orwell.
Temperaments
Tempering out this comma alone in the 7-limit leads to the orwellismic temperament. See orwellismic family for the rank-3 temperament family where it is tempered out. See orwellismic temperaments for a collection of rank-2 temperaments where it is tempered out.