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 [[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).

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]].

~~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]].~~

== Approximation ==

== 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]]

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[[Category:Third]]

[[Category:Minor third]]

[[Category:~~Starling~~]]

[[Category:Marvel]]

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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 [[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).
+/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]].
-/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]].
 == Approximation ==
- {{Interval_Edo_Approximation | 25/21}}
+{{Interval edo approximation|25/21}}
 == 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]]
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 [[Category:Third]]
 [[Category:Minor third]]
-[[Category:Starling]]
+[[Category:Marvel]]