25/21: Difference between revisions

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'''25/21'''
{{Infobox Interval
|0 -1 2 -1>
| Icon =
| Ratio = 25/21
| Monzo = 0 -1 2 -1
| Cents = 301.84652
| Name = quasi-tempered minor third
| Color name = ryy2, ruyoyo 2nd
| FJS name = A2<sup>25</sup><sub>7</sub>
| Sound = jid_25_21_pluck_adu_dr220.mp3
}}


301.8465 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).


[[File:jid_25_21_pluck_adu_dr220.mp3]] [[:File:jid_25_21_pluck_adu_dr220.mp3|sound sample]]
== See also ==
 
* [[42/25]] - its [[octave complement]]
25/21, the quasi-tempered minor third, is the interval between [[6/5|6/5]] and [[10/7|10/7]], and also [[7/5|7/5]] and [[5/3|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|tritone]]. It is extremely close to 3 steps of [[12edo|12edo]] (300 cents).
* [[63/50]] - its [[fifth complement]]
* [[Gallery of just intervals]]

Revision as of 04:50, 1 September 2020

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}^{25}_{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]
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

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