49/40
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Ratio | 49/40 |
Factorization | 2^{-3} × 5^{-1} × 7^{2} |
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 (log_{2} nd) | 10.9366 |
Weil height (log_{2} 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.