25/21: Difference between revisions

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'''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''', 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 "whole tone", i.e. the large step in the [[4L 5s (3/1 equivalent)|Lambda scale]].


== See also ==
== See also ==

Revision as of 12:56, 23 September 2024

Interval information
Ratio 25/21
Factorization 3-1 × 52 × 7-1
Monzo [0 -1 2 -1
Size in cents 301.8465¢
Name quasi-tempered minor third
Color name ryy2, ruyoyo 2nd
FJS name [math]\displaystyle{ \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

[sound info]
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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 "whole tone", i.e. the large step in the Lambda scale.

See also