49/40
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| Ratio | 49/40 |
| Factorization | 2-3 × 5-1 × 72 |
| Monzo | [-3 0 -1 2⟩ |
| Size in cents | 351.3381¢ |
| Name | larger septimal neutral third |
| Color name | zzg4, zozogu 4th |
| FJS name | [math]\text{d4}^{7,7}_{5}[/math] |
| Special properties | reduced |
| Tenney height (log2 nd) | 10.9366 |
| Weil height (log2 max(n, d)) | 11.2294 |
| Wilson height (sopfr (nd)) | 25 |
| Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~4.5916 bits |
[sound info] | |
| open this interval in xen-calc | |
49/40, the larger septimal neutral third, is only 2401/2400 (0.72 ¢) sharp of 60/49, the smaller septimal neutral third. In breed tempering, these are equated, dividing the fifth exactly in half. It is also 441/440 (3.9 ¢) sharp of 11/9, and this is one of the ways 11-limit harmony is introduced into 7-limit scales. In particular, it is the interval between 8/7 and 7/5.