Lipps–Meyer law
The Lipps–Meyer law, named for Theodor Lipps (1851–1914) and Max F. Meyer (1873–1967), hypothesizes that the closure of melodic intervals is determined by "whether or not the end tone of the interval can be represented by the number two or a power of two",[1][verification needed] in the frequency ratio between notes.
"The 'Lipps-Meyer' Law predicts an 'effect of finality' for a melodic interval that ends on a tone which, in terms of an idealized frequency ratio, can be represented as a power of two."[2]
Thus the interval order matters — a perfect fifth, for instance (C,G), ordered <C,G>, 2:3, gives an "effect of indicated continuation", while <G,C>, 3:2, gives an "effect of finality".
This is a measure of interval strength or stability and finality. Notice that it is similar to the more common measure of interval strength, which is determined by its approximation to a lower, stronger, or higher, weaker, position in the harmonic series.
[edit] Sources
- ^ Meyer, M.F. (1929). "The Musician's Arithmetic", The University of Missouri Studies, January.
- ^ Christensen, Thomas Street (2002). The Cambridge History of Western Music Theory, p.963. ISBN 9780521623711.
