3/2: Difference between revisions
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{{Wikipedia|Perfect fifth}} | {{Wikipedia|Perfect fifth}} | ||
'''3/2''', the '''just perfect fifth''', is a very [[consonance|consonant]] interval, due to the numerator and denominator of its ratio being very small numbers, with only the [[ | '''3/2''', the '''just perfect fifth''', is a very [[consonance|consonant]] interval, due to the numerator and denominator of its ratio being very small numbers, with only the [[octave]] and the [[3/1|tritave]] having smaller numbers. As such, it is very important in western music and many musical traditions, and approximating it is key in systems like [[12edo]] and other [[edo]]s. | ||
For harmonic [[timbre]]s, the loudest harmonics are usually the second and third ones (2/1 and 3/1). 3/2 is the interval between these two harmonics (which incidentally makes 3/2 [[superparticular]]). Thus 3/2 is easy to tune by ear, and it is easy to hear if it is mistuned. | For harmonic [[timbre]]s, the loudest harmonics are usually the second and third ones (2/1 and 3/1). 3/2 is the interval between these two harmonics (which incidentally makes 3/2 [[superparticular]]). Thus 3/2 is easy to tune by ear, and it is easy to hear if it is mistuned. | ||
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== As a dyad == | == As a dyad == | ||
{{Infobox Chord|2:3|ColorName=5|debug=1}} | {{Infobox Chord | ||
'''2:3''' is a 3-limit [[dyad]], known as the | | 2:3 | ||
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}} | |||
'''2:3''' is a 3-limit [[dyad]], known as the ''five chord'' (as in C5 not V) or ''power chord''. It is used to create an open, stable, and powerful sound in contemporary western music. It is also indispensable in certain musical genres such as [[African music #Equiheptatonic tunings|mbira music]] and late medieval music. In the latter, when voiced as '''1:2:3''', it is known as the ''trine'', a very common closing chord. | |||
=== Notable voicings === | === Notable voicings === | ||