625/624
Jump to navigation
Jump to search
Ratio | 625/624 |
Factorization | 2^{-4} × 3^{-1} × 5^{4} × 13^{-1} |
Monzo | [-4 -1 4 0 0 -1⟩ |
Size in cents | 2.7721928¢ |
Name | tunbarsma |
FJS name | [math]\text{dd}{-2}^{5,5,5,5}_{13}[/math] |
Special properties | square superparticular, reduced |
Tenney height (log_{2} n⋅d) | 18.5731 |
Weil height (max(n, d)) | 625 |
Benedetti height (n⋅d) | 390000 |
Harmonic entropy (Shannon, [math]\sqrt{n\cdot d}[/math]) |
~2.43162 bits |
Comma size | unnoticeable |
S-expression | S25 |
open this interval in xen-calc |
625/624, the tunbarsma, is an unnoticeable 13-limit comma with a value of roughly 2.77 cents. Tempering out this comma not only equates 25/24 with 26/25 – splitting 13/12 in half and going part of the way towards splitting the 9/8 whole tone into three (the other comma that needs to be tempered in order to finish this job is 676/675) – but also equates 39/32 with the interval that results from stacking four 5/4 major thirds then octave-reducing.
In terms of commas, it is the difference between
It can be factored into
In the 17-limit, it can be factored into