From Xenharmonic Wiki
Jump to navigation Jump to search
Interval information
Ratio 648/625
Factorization 23 × 34 × 5-4
Monzo [3 4 -4
Size in cents 62.565148¢
Names diminished comma,
major diesis
Color name g42, quadgu 2nd,
Quadgu comma
FJS name [math]\text{d2}_{5,5,5,5}[/math]
Special properties reduced
Tenney height (log2 nd) 18.6276
Weil height (log2 max(n, d)) 18.6797
Wilson height (sopfr (nd)) 38
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.76624 bits
Comma size medium

[sound info]
open this interval in xen-calc

The interval 648/625 is known as the diminished comma or major diesis. It is the amount by which four 6/5 minor thirds exceed an octave, in other words (6/5)4 / 2.


This interval is approximately one step of 19edo, which is the amount by which four 19edo minor thirds exceed an octave.


Tempering out this comma leads to the 5-limit diminished temperament.