25/21

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Interval information
Ratio 25/21
Factorization 3-1 × 52 × 7-1
Monzo [0 -1 2 -1
Size in cents 301.84652¢
Name quasi-tempered minor third
Color name ryy2, ruyoyo 2nd
FJS name [math]\text{A2}^{5,5}_{7}[/math]
Special properties reduced
Tenney height (log2 nd) 9.03617
Weil height (log2 max(n, d)) 9.28771
Wilson height (sopfr (nd)) 20
Harmonic entropy
(Shannon, [math]\sqrt{n\cdot d}[/math])
~4.52834 bits

[sound info]
open this interval in xen-calc

25/21, the quasi-tempered minor third, is the interval between 6/5 and 10/7, and also 7/5 and 5/3. It is 126/125 flat of 6/5, and tempering 126/125 out makes the 1-6/5-10/7 triad into a diminished triad where two minor thirds make up a tritone. It is extremely close to 3 steps of 12edo (300 cents).

See also