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 [[ | {{wikipedia|Least common multiple}} | ||
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 == | == Examples == | ||
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| 40 | | 40 | ||
|- | |- | ||
| 5:6: | | 4:5:6 | ||
| | | 60 | ||
|- | |||
| 10:12:15 | |||
| 60 | |||
|- | |- | ||
| 6:7:8 | | 6:7:8 | ||
| 168 | | 168 | ||
|- | |||
| 5:6:7 | |||
| 210 | |||
|} | |} | ||
[[Category:Consonance and dissonance]] | [[Category:Consonance and dissonance]] | ||