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If the Greater Perfect System embodies the divine design of a holistic system, its features should be expected to be prescribed by the ten Names of God. The table opposite proves that this, indeed, is the case. The four tetrachords have 15 notes, (4×6 + 2 = 26) harmonic intervals, (4×4=16) melodic chords of three notes and 4 melodic chords of four notes. Therefore, they have (15+26=41) notes & harmonic intervals and (26+16=42) harmonic intervals & chords of three notes. There are 50 sounds other than the 11 harmonic intervals & melodic chord in the first tetrachord. The first octave A-A′ has 31 sounds. There are 36 intervals (including unit intervals) between its eight notes. There are (4×4=16) melodic chords of three notes, four of which do not contain the notes E & E′ shared with conjoint tetrachords, leaving 12 melodic chords of three notes that do contain them. Hence, there are (61−12=49) sounds that include melodic chords containing E & E.′
There are 46 sounds (23 in each octave) other than the 15 notes.
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