Least common multiple
The least common multiple (LCM) or its logarithm (for example log2) can be used as a complexity measure for intervals and chords. 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
| Interval/chord | LCM |
|---|---|
| 7:5 | 35 |
| 8:5 | 40 |
| 4:5:6 | 60 |
| 10:12:15 | 60 |
| 6:7:8 | 168 |
| 5:6:7 | 210 |
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