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Transcript
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...