CHORD PAIRS FROM SET

SECTION V: CHORD PAIRS FROM SET-CLASSES WITH LOW RECREL VALUES

To conclude the study, let us examine a group of chord pairs. The cases constituting Example 9 are derived from pairs of SCs that the RECREL similarity measure deems highly similar. The values vary between 0 and 10. SC pairs with values this low have a very small representation: the pairs within the range 0 – 10 constitute just 0.11% of all pairs (see Castrén 1994:128).[11]

There are nine comparison groups #n/#m, 3 ≤ n, m ≤ 7, containing SC pairs with RECREL values 10 or under. Ex. 9 gives at least one chord pair representing each of these categories. When the chords are of different cardinalities, the one with more elements is given first. The RECREL value is given below the SC names.

EXAMPLE 9: Chord pairs derived from pairs of SCs having RECREL values within the range 0 - 10.

OBTAINING A COPY OF THE DEMONSTRATIONAL PROGRAM

A demonstrational computer program constitutes a part of this study. With it the user can generate chord pairs fulfilling the comparability criteria and listen to them with the help of a MIDI synthesizer. The program, called Chord Pairs, can be accessed through Internet and can be copied and distributed freely. The address is ftp://ftp.siba.fi/pub/mac/Chord_Pairs.sea.hqx.

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[11] The RECREL value indicating highest degree of similarity is 0. Two SCs with this value have identical proportioned subset-class contents. The value indicating highest degree of dissimilarity is 100.