25/21
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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{nd}[/math])
~4.18934 bits
[sound info]
open this interval in xen-calc
| Interval information |
(Shannon, [math]\sqrt{nd}[/math])
[sound info]
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).
25/21 is also an important interval in the Bohlen-Pierce scale, where it represents a "BP whole tone", i.e. the large step in the Lambda scale.
See also
- 42/25 - its octave complement
- 63/50 - its fifth complement
- Gallery of just intervals
- File:Ji-25-21-csound-foscil-220hz.mp3 - another sound example