25/21: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 25/21
| Monzo = 0 -1 2 -1
| Cents = 301.84652
| Name = quasi-tempered minor third
| Name = quasi-tempered minor third
| Color name = ryy2, ruyoyo 2nd
| Color name = ryy2, ruyoyo 2nd
| FJS name = A2<sup>25</sup><sub>7</sub>
| Sound = jid_25_21_pluck_adu_dr220.mp3
| Sound = jid_25_21_pluck_adu_dr220.mp3
}}
}}
'''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 "BP whole tone", i.e. the large step in the [[4L 5s (3/1-equivalent)|Lambda scale]].


== See also ==
== See also ==
* [[42/25]] - its [[octave complement]]
* [[42/25]] - its [[octave complement]]
* [[63/50]] - its [[fifth complement]]
* [[63/50]] - its [[fifth complement]]
* [[28/25]] – its [[fourth complement]]
* [[Gallery of just intervals]]
* [[Gallery of just intervals]]
* [[:File:Ji-25-21-csound-foscil-220hz.mp3]] - another sound example
* [[:File:Ji-25-21-csound-foscil-220hz.mp3]] - another sound example


[[Category:7-limit]]
[[Category:Interval ratio]]
[[Category:Third]]
[[Category:Third]]
[[Category:Minor third]]
[[Category:Minor third]]
[[Category:Listen]]
[[Category:Starling]]
[[Category:Starling]]