From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 625/624
Factorization 2-4 × 3-1 × 54 × 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,
Tenney height (log2 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

See also