Least common multiple: Difference between revisions

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-The '''least common multiple''' ('''LCM''') or its logarithm (for example [[log2]]) can be used as a [[dissonance measure]] for [[interval]]s and [[chord]]s.
+{{Wikipedia}}
+The '''least common multiple''' ('''LCM''') or its logarithm (for example [[log2]]) can be used as a [[complexity]] measure for [[interval]]s and [[chord]]s.
+In terms of harmonic series, it represents the location of the first shared harmonic between all of the notes.
+Note that, for dyads, this is the same as [[Benedetti height]], since a ratio in lowest terms has no shared factors between its numerator and denominator.
 == Examples ==
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 | 40
 |-
-| 5:6:7
+| 4:5:6
-| 210
+| 60
+|-
+| 10:12:15
+| 60
 |-
 | 6:7:8
 | 168
+|-
+| 5:6:7
+| 210
 |}
-== See also ==
+[[Category:Interval complexity measures]]
-* [[Wikipedia: Least common multiple]]
+[[Category:Complexity]]
-[[Category:Consonance and dissonance]]
-[[Category:Harmonic entropy]]
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