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The result was, not unexpectedly, unorganised and quite unlike classical diatonic melodies.
That is, in a section of the piece that used a 7-note diatonic subset, all the pitches had an equal probability of occurring.
The close relationship between the two treatises is suggested by the often similar wordings of the sections on the diatonic intervals and modal theory.
Such an assumption over-simplifies, since to accept it would imply that diatonic, stable tonality inescapably expresses decisive, positive moods.
The diatonic tetrachord is composed of three intervals between four notes: a tone plus a tone plus a hemitone.
One can have, for instance, the diatonic scale, which has a more complex structure than the chromatic scale.
The results at this stage showed clear evidence of diatonic and rhythmic order; however, this was very sporadic.
The first is the equivalency of the ' ' diatonic,' ' ' ' modal' ' and ' ' octatonic' ' passages.
We could define a step in diatonic terms - that is, a minor second or major second.
Why use two different diatonic 'yardsticks' for aspects of musical practice that were so closely related to one another?
He also explores more consonant minimalist-like textures from which simple diatonic/modal melodies emerge.
The chromatic chords challenge the diatonic ones, and the effect is of a dialectic.
The resulting melodies were similar to the random ones, with some greater tendency for diatonic pitches and less jagged melodic contours.
But this criterion might seem inappropriate, for we have already observed that the scalar organisation of these melodies is pentatonic, not diatonic.
Here, the frequencies of the diatonic scale tones are derived from a chain of pure fifths.
