Pentachord

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Pentachord

 

in music, five consecutive tones of a diatonic scale.

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I have a choice now of the three remaining pentachords that combine with sc 3-11 in the G8 subgraph to use for the third link.
The two norms differ only slightly in their pentachord representations: twenty-three of the total of thirty-eight pentachords are represented in the 3/5 partitions of sc 8-20; twenty-four of the thirty-eight, in those of sc 8-19.
From these facts, and the relatively high representations of the pentachords in both norms, we can presume in advance that sc 3-9 is likely to be linkable by a short path to one of the pentachords in the chain of Example 2.
The combined pentachord representation of the two norms is 31 - still not all 38 pentachords, but about a third more than either alone.
The thirty-eight pentachords are shown in name order in the columns (c.
The left-over pentachord at the end is used to fill out row one of column zero; in this way the twelve-link chain is turned into a two-row, six-column matrix.
They consist of the set-class name of a trichord separated by a colon from a literal representative of that trichord, a vertical bar representing the partition divider, and a literal representative of a pentachord separated by a colon from the set-class name of the pentachord.