625/624

Interval information

Ratio	625/624
Factorization	2-4 × 3-1 × 54 × 13-1
Monzo	[-4 -1 4 0 0 -1⟩
Size in cents	2.772193¢
Name	tunbarsma
Color name	3uy4-2, Thuquadyo comma
FJS name	[math]\text{dd}{-2}^{5,5,5,5}_{13}[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	18.5731
Weil height (log2 max(n, d))	18.5754
Wilson height (sopfr(nd))	44
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.27132 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; tempering out both gives cata) – 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

• 325/324 and 676/675
• 385/384 and 1001/1000

It can be factored into

• 1575/1573 and 3025/3024
• 2200/2197 and 4225/4224
• 729/728 and 4375/4374

In the 17-limit, it can be factored into

• 1225/1224 and 1275/1274

See also

• Unnoticeable comma