648/625
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Ratio
648/625
Factorization
23 × 34 × 5-4
Monzo
[3 4 -4⟩
Size in cents
62.56515¢
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{nd}[/math])
~4.38126 bits
Comma size
medium
[sound info]
open this interval in xen-calc
| Interval information |
major diesis
Quadgu comma
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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.
Approximations
This interval is approximately one step of 19edo, which is the amount by which four 19edo minor thirds exceed an octave.
Temperaments
Tempering out this comma leads to the 5-limit diminished temperament.