Details of Polyrhythms and links to charts

All Etudes (Studies) use Metric Polyrhythms and Diatonic Pentads from the Melodic Minor Scale.

These studies represent an effort to expand the use of different polyrhythms in jazz, from the prevalence of the dotted quarternote (two over three); to include both triplet and duple based studies using five, seven, and 9 note groupings in quarternote, eighthnote, sixteenth note, and thirtysecond note subdivisions.


 

Legend – Details of Pentad Scales and Chord Structures  (YouTube Video of Legend)

Eb Melodic Minor  –  Duple feel – (YouTube Video of Eb Melodic Minor Etude)
– selections of 9/8 and 7/8 in 4/4 time
E Melodic Minor  –  Duple feel – (YouTube Video of E Melodic Minor Etude)
–  selections of 7/8, 3/8, 5/8, and 5/16 in 4/4 time
F Melodic Minor  –  Duple feel – (YouTube Video of F Melodic Minor Etude)
–  5/8 and 5/16 in 4/4 time.  Alternating hands
F# Melodic Minor –  – Duple feel – (YouTube Video of F# Melodic Minor Etude)
– 4 bar phrase in 4/4 time (total = 16 beats) broken down into 3/4, 3/4, 3,4, 3/4, 4,4
– 4 bar phrase in 4/4 time (total = 16 beats) broken down into 5/4, 5/4, 5/4, 1/4

G Melodic Minor   Triplet feel – (YouTube Video of G Melodic Minor Etude)
–  2 bar phrase – rhythmic formula 7,7,7,3, = 24 eighth triplets
in groups of 7/8 triplets – using chords
–  1 bar phrase – rhythmic formula 7,7,7,3, = 24 16th triplets
in groups of 7/16 triplets – using arpeggios
Ab Melodic Minor –    Duple Feel – (YouTube Video of Ab Melodic Minor Etude)
4 bar phrase – Rhythmic formula – 2,7,7,7, 9 and 9,7,7,7, 2 = 32 eighth notes over 4 bars

A Melodic Minor     Duple Feel – (YouTube Video of A Melodic Minor Etude)
–  4 bar phrase – Rhythmic formula 2,7,7,7,9 = 32/8ths over 4 bars
using a combination of quarter notes, 8th notes, and 16 notes
Bb Melodic Minor  –  Triplet  Feel – (YouTube Video of Bb Melodic Minor Etude)
4 bar phrase in 3/4 time – Rhythmic formula – 5/8, 5/8, 5/8, 7/16, (x6)
= 9/8ths per bar or 36/8th notes total
– ALSO: 4 bar phrase in 3/4 time – Rhythmic formula of Triplet feel – 5/16 (x6), 7/8 (x3) =
9/8ths per bar or 36/8th notes total
B Melodic Minor    –  Duple Feel – (YouTube Video of B Melodic Minor Etude)
4 bar phrase in 3/4 time
– 4 bar phrase consisting of  4/3, 4/3, (1 bar of 12/16) = 5/16ths and 7/16ths,
and (1 bar of 24/32nds) = 5/32, 7/32, 5/32, 7/32
ALSO: 4 bar phrase of 4/3, 8/3, 4/3, 8/3
ALSO: 2 bar phrase of 5/8, 7/8 (total 12 8ths = 2 bars of 3/4)
ALSO: 2 bar phrase of 7,7,7,7,5,5,5,5, = 48 32nd notes over 2 bars
ALSO: 1 bar phrase of 5/16, 7/16 = 12/16 or 3/4
ALSO: 1 bar phrase of 5/32, 7/32, 5/32, 7/32 = 24/32nds or 3/4
C Melodic Minor – Duple feel – (YouTube Video of C Melodic Minor Etude)
– 3 bar phrase in 9/8 (= 27 8th notes)
– Rhythmic formula = 4,4,4,5,5,5, or 4/8, 4/8, 4/8, 5/8, 5/8, 5/8 (= 27 8th notes)
ALSO: – 3 bar phrase in 9/8 (= 27 8th notes)
Rhythmic formula = 2,3,4,5,6,7 or 2/8, 3/8, 4/8, 5/8, 6/8, 7/8
ALSO:  2 bar phrase in 9/8 (= 18 8th notes)
Rhythmic formula – 5/8 (x2 = 10/8ths) and 5/8ths (x4 of 4 over 3)) and 3/8ths rest
D Melodic Minor – Duple Feel – (YouTube Video of D Melodic Minor Etude)
– 1 bar phrase in 9/4
– Rhythmic formula = 5,5,5,7,7,7 (= 36 8th notes) or 5/8 (x3), then 7/8 (x3)

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