If you continued the rest of the transposed, inverted row ( I9 ) and superimposed original hexachord 2, you would again have the full complement of 12 chromatic pitches.
42.
The solo soprano cantata Afectos amantes contains an aria " La solfa mia " based on the natural hexachord which may be a personal statement by Torres of his approach to composition.
43.
The " Ode-to-Napoleon " hexachord is the six-member set-class with the highest number of interval classes 3 and 4 yet lacks 2s and 6s.
44.
It is built from a single hexachord that contains the notes C G F G C D, thus highlighting the intervals of fifth and major second.
45.
Occasionally a hexachord may be combined with an inverted or transposed version of itself in a special case which will then result in the aggregate ( complete set of 12 chromatic pitches ).
46.
Thus, when you superimpose the original hexachord 1 ( P0 ) over the transposed inversion of hexachord 1 ( I9 in this case ), the entire collection of 12 pitches results.
47.
Thus, when you superimpose the original hexachord 1 ( P0 ) over the transposed inversion of hexachord 1 ( I9 in this case ), the entire collection of 12 pitches results.
48.
Further citations appear in Wikipedia articles on the Deep scale property, Triad ( music ), Trichord, Tetrad ( music ), Hexachord, 19 equal temperament, and Polite number.
49.
The harmony of this part is based on the hexachord F G A C D D, arranged in such a way that the harmony of the section never includes any sixths or thirds.
50.
In music, the "'all-trichord hexachord "'is a unique hexachord that contains all twelve trichords, or from which all twelve possible trichords may be derived.
