52/49
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Ratio | 52/49 |
Factorization | 2^{2} × 7^{-2} × 13 |
Monzo | [2 0 0 -2 0 1⟩ |
Size in cents | 102.87585¢ |
Names | hammer semitone, hammerisma |
Color name | thoruru unison, 3orr1 |
FJS name | [math]\text{P1}^{13}_{7,7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 11.3151 |
Weil height (log_{2} max(n, d)) | 11.4009 |
Wilson height (sopfr (nd)) | 31 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~4.28792 bits |
open this interval in xen-calc |
52/49, the hammer semitone, is the difference between 13/8 and 49/32. It is a member of the 2.7.13 subgroup. It is also the difference between the subminor seventh of 7/4 and the submajor seventh of 13/7.
It is close to 17/16, differing from it by the unnoticeable comma of 833/832.