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To n a l H a r m o n y an introduction TONAL HARMONY is a set of musical principles and frameworks based on the physical properties of sound. REVIEW: HARMONIC PARTIALS (“overtones”) are the spectra of naturally occurring Hz’s at integer multiples above a fundamental Hz. Harmonic Partials P3 - 786 Hz P2 - 524 Hz “interval” P1 - 262 Hz “octave” consists of two pitches whose frequencies are in the ratio of 1:2 Intervals P1 - 262 Hz P2 - 524 Hz “octave” consists of two pitches whose frequencies are in the ratio of 1:2 Intervals “the octave” is divided in to twelve equal tempered intervals called “half steps.” Dissonance vs. Consonance CONSONANT intervals are considered pleasing to the ear. DISSONANT intervals are considered “not pleasing” to the ear. Unsettling.... Natural Harmonic Partial Series P5 - 1310 Hz E6 P4 - 1048 Hz C6 P3 - 786 Hz G5 P2 - 524 Hz C5 P1 - 262 Hz C4 Natural Harmonic Partial Series Demonstration... Natural Harmonic Partial Series P5 - 1310 Hz E6 “?” P4 - 1048 Hz C6 P3 - 786 Hz G5 P2 - 524 Hz “?” C5 “Octave” P1 - 262 Hz C4 Intervals “perfect 5th” “major 3rd” * The perfect 5th and major 3rd are considered to be to be the most consonant of intervals. Natural Harmonic Partial Series P5 - 1310 Hz E6 “major 3rd” P4 - 1048 Hz C6 P3 - 786 Hz G5 P2 - 524 Hz “perfect 5th” C5 “Octave” P1 - 262 Hz C4 Intervals implied by natural harmonic partials “octave” consists of two pitches whose frequencies are in the ratio of 1:2, separated by 12 half steps “perfect 5th” consists of two pitches separated by 7 half steps “major 3rd” consists of two pitches separated by 4 half steps * all these considered consonant intervals. Intervals implied by natural harmonic partials octave + perfect 5th + major 3rd = “Major Triad” Intervals implied by natural harmonic partials Demonstration... Intervals implied by natural harmonic partials “HARMONY” “HARMONIC PROGRESSION” “MELODY” the layering of multiple pitch intervals to create pitch clusters otherwise known as “chords” transitions to and from various chord types a sequence of pitch intervals Harmony Dissonant vs. Consonant “TONAL” HARMONY uses chord structures and melodies with consonant intervals. “ATONAL” HARMONY uses chord structures and melodies with less consonant intervals. Harmony Dissonant vs. Consonant Demonstration...