25/21: Difference between revisions

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'''25/21'''

{{Infobox Interval

|0 -~~1 2 -1>~~

| Name = quasi-tempered minor third

| Color name = ryy2, ruyoyo 2nd

| 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 [[225/224]] sharp of [[32/27]], [[126/125]] flat of [[6/5]], and [[tempering out]] 126/125 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).

~~301~~.~~8465 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]].

~~[[File:jid_25_21_pluck_adu_dr220.mp3]] [[:File:jid_25_21_pluck_adu_dr220.mp3~~|~~sound sample]]~~

== Approximation ==

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).~~

== See also ==

* [[42/25]] – its [[octave complement]]

* [[63/50]] – its [[fifth complement]]

* [[28/25]] – its [[fourth complement]]

* [[Gallery of just intervals]]

* [[:File:Ji-25-21-csound-foscil-220hz.mp3]] - another sound example

[[Category:Third]]

[[Category:Minor third]]

[[Category:Marvel]]

@@ Line 1: / Line 1: @@
-'''25/21'''
+{{Infobox Interval
-|0 -1 2 -1&gt;
+| Name = quasi-tempered minor third
+| Color name = ryy2, ruyoyo 2nd
+| 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 [[225/224]] sharp of [[32/27]], [[126/125]] flat of [[6/5]], and [[tempering out]] 126/125 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).
-.8465 cents
+/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]].
-[[File:jid_25_21_pluck_adu_dr220.mp3]] [[:File:jid_25_21_pluck_adu_dr220.mp3|sound sample]]
+== Approximation ==
+{{Interval edo approximation|25/21}}
-/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).
+== See also ==
+* [[42/25]] – its [[octave complement]]
+* [[63/50]] – its [[fifth complement]]
+* [[28/25]] – its [[fourth complement]]
+* [[Gallery of just intervals]]
+* [[:File:Ji-25-21-csound-foscil-220hz.mp3]] - another sound example
+[[Category:Third]]
+[[Category:Minor third]]
+[[Category:Marvel]]