Just intonation: Difference between revisions

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'''Just intonation''' ('''JI''') or '''Rational intonation''' ('''RI''') is an approach to [[musical tuning]] which uses ~~the most [[concordant]] (or melding)~~ intervals, which are found at rational ratios of [[Frequency|frequencies]].

'''Just intonation''' ('''JI''') or '''Rational intonation''' ('''RI''') is an approach to [[musical tuning]] which uses intervals which are found at rational ratios of [[Frequency|frequencies]].

Just intervals are precisely those intervals which achieve concordance through alignment of [[Partial|partials]] if the interval has [[Harmonic timbre|harmonic timbre]]. In fact, alignment of partials is a stronger effect with harmonic timbre: if partials align at frequency n, they will also align at every multiple of n; and in addition, two notes whose partials align with the same root note will also have partials aligning with each other. This allows for the construction of just-intonation chords where every comprising interval is a concordance. Just intervals are also precisely those intervals which achieve concordance by melding with each other by forming different [[Harmonic|harmonics]] of the same unplayed root. (JI multi-note chords formed from harmonics of the same root can be the most concordant chords.)

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 {{Wikipedia}}
-'''Just intonation''' ('''JI''') or '''Rational intonation''' ('''RI''') is an approach to [[musical tuning]] which uses the most [[concordant]] (or melding) intervals, which are found at rational ratios of [[Frequency|frequencies]].
+'''Just intonation''' ('''JI''') or '''Rational intonation''' ('''RI''') is an approach to [[musical tuning]] which uses intervals which are found at rational ratios of [[Frequency|frequencies]].
 Just intervals are precisely those intervals which achieve concordance through alignment of [[Partial|partials]] if the interval has [[Harmonic timbre|harmonic timbre]]. In fact, alignment of partials is a stronger effect with harmonic timbre: if partials align at frequency n, they will also align at every multiple of n; and in addition, two notes whose partials align with the same root note will also have partials aligning with each other. This allows for the construction of just-intonation chords where every comprising interval is a concordance. Just intervals are also precisely those intervals which achieve concordance by melding with each other by forming different [[Harmonic|harmonics]] of the same unplayed root. (JI multi-note chords formed from harmonics of the same root can be the most concordant chords.)