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FUNDAMENTALS OF SCALES This section presents the rudiments of
Diatonic Scales for those who know little or nothing about them. This will by no
means be an in depth lesson in music theory. Those who are familiar with these
concepts should skip this section.
W
W H
W W W
H Black keys
C# D# F#
G# A# White keys
C D
E F G
A B
C
Db Eb
Gb Ab
Bb Db
Eb Gb
Ab Bb
C
Key
of C C
D
E
F
G
A
B
C
Key
of Db
Db
Eb
F
Gb
Ab
Bb
C
Db Key
of D
D
E
F#
G
A
B
C# D
Key
of Eb
Eb
F
G
Ab
Bb
C
D
Eb Key
of E
E
F#
G#
A
B
C#
D# E
Key
of F F
G
A
Bb
C
D
E
F Key
of F#
F#
G#
A#
B
C#
D#
E# F#
Key
of G
G
A
B
C
D
E
F#
G Key
of Ab
Ab
Bb
C
Db
Eb
F
G
Ab
Key
of A
A
B
C#
D
E
F#
G# A
Key
of Bb
Bb
C
D
Eb
F
G
A
Bb
Key
of B
B
C#
D#
E
F#
G#
A# B
The reason some keys use flat (b) designation
versus sharp (#) is explained by the nature of standard musical notation. In
this notation, notes are designated by 5 lines and the spaces between them. For
example, the following indicates the notes for the lines and spaces on the
treble staff:
Key
of C --------- F
Key of F --------- F Key of A #--------
F#
E
E
E
--------- D
--------- D ---------
D
C
C
# C#
--------- B
b-------- Bb ---------
B
A
A
A
--------- G
--------- G #--------
G#
F
F
F#
--------- E
--------- E ---------
E Each line and space indicates a consistent
letter name for its note, which may be designated to be sharp or flat for the
scale. If the key of F were to use sharp designations and the key of A were to
use flats, the scales would be as follows:
Key of A A
B
Db
D
E
Gb
Ab A
Notice that there are two notes named with the
letter A for the key of F, which are A and A#. Thus, if sharp designations were
used, the second space from the bottom on the treble staff would
have to represent both A and A#, which is ambiguous. Since there is no
contention for note letters when using flat designations, those are used for the
key of F. The converse is true for the key of A.
Key of A A
B
C#
D
E
F#
G# A
When playing in a given key, it is usually
more convenient to refer to a note by its relative order in the major scale, or
scale degree, than by its letter name.
Key of F F
G
A
Bb
C
D
E
F
Gb
Ab
Cb Db
Eb Thus, in the key of F, the F, G, A, Bb, C, D,
and E notes are the root, 2nd, 3rd, 4th, 5th,
6th, and 7th, respectively. The notes between the notes in
the scale, Gb, Ab, Db, and Eb are the minor 2nd, minor 3rd,
minor 6th, and minor 7th of the key of F.
The Cb, which is also not in the major scale, is referred to as the augmented 4th
or diminished 5th
(don’t ask). In this paper, “3-“ is shorthand for “minor third”, etc.
By using the scale degree, one can refer to any note in any key, without having
to memorize the absolute (lettered) notes that make up each key.
MODES
Ionian (Major) W
W H
W W W H
Dorian
W H
W W W
H W
Phrygian
H W
W W H
W W
Lydian
W W
W H W
W H
Mixolydian
W W
H W W H
W
Aeolean (Minor)
W H
W W H W
W
Locrian
H W W
H W
W W For a given key, the
seven scale modes can be constructed by using each of the above sequence
variations, starting from the root.
The following diagram illustrates that process for the key of G. Ionian
(Major) G
A
B
C
D
E
F#
Dorian G
A
Bb
C
D
E
F
G Phrygian G
Ab
Bb
C
D
Eb
F
G Lydian
G
A
B
C#
D
E
F#
G Mixolydian
G
A
B
C
D
E
F
G Aeolean
(Minor)
G
A
Bb
C
D
Eb
F
G Locrian
G
Ab
Bb
C
Db
Eb
F
G
W W H
W W
W H W
W H
W W
W H In the above diagram,
the bottom line illustrates two cycles of the diatonic sequence. The modes are
formally defined by the changes to the major scale that are needed to produce
each mode. For example, the Dorian mode contains a minor 3rd, and a
minor 7th instead of a natural 3rd and 7th,
and all other notes are the same as in the Major Scale. The following diagram
summarizes. Ionian
(Major) 1
2 3 4 5 6
7
Dorian
1 2
3- 4 5
6 7-
Phrygian
1 2- 3- 4 5
6- 7-
Lydian
1 2
3 4+ 5 6 7
Mixolydian
1 2 3
4 5
6 7-
Aeolean (Minor)
1 2
3- 4 5 6- 7-
Locrian
1 2- 3- 4+ 5 6- 7- If one needs to determine the notes that are
needed to play in a given mode, he can memorize the above information for the
modes he commonly uses. Another (possibly quicker) way comes from the
recognition that there are only twelve sets of notes that make up all the modes
of the diatonic scales of which there is a total of 84 (12 keys x 7 modes). The
seven notes that make up a C Major Scale are the same set of notes used in the D
Dorian, E Phrygian, F Lydian, G Mixolydian, A minor, and B Locrian scales. These
are played by starting and ending the C Major Scale on a different note than the
root. For example, an A Minor Scale consists of the same seven notes as the C
Major Scale, but the A Minor Scale begins and ends on the A note.
So if one can determine the major key that
includes the same set of notes as the desired mode (and he has learned that
major scale), it should be simple to play in the desired mode. The following
identifies, for a given key, the relative key from which the notes are used to
form each diatonic mode:
Dorian
VII-
+10, -2
Phrygian
V+
+8, -4
Lydian
V
+7, -5
Mixolydian IV
+5, -7
Aeolean (Minor) III-
+3, -9
Locrian
II-
+1, -11 To illustrate how to use this diagram, suppose
one wanted play an A Lydian scale. Locate an A (second string, second fret), go
up the neck seven frets to find the E (or just locate the V chord). The notes in
the E Major Scale are the same notes used in the A Lydian Scale, with the scale
beginning and ending on the A note. Notice that the fret sequence going down the
neck (-2, -4, -5, -7, -9, -11) is the diatonic sequence in reverse.
Why
do we care about Modes? Each of the
diatonic modes has a distinct “mood” or “feel” that can be applied to a
tune or song. The following describes each mode from my subjective point of
view. Ionian:
Major, upbeat, “happy” sound. Lydian:
Similar to Major. The augmented 4th gives it a slightly brighter
sound MixoLydian:
Similar to Major. This mode is commonly used in Celtic, Old Time, and Bluegrass
music. Examples of tunes that use this scale are Red Haired Boy, June Apple, and
Big Mon. The minor 7th gives it a slightly more somber sound than
the Major Mode. Aeolian:
Minor, sad or “dark” sound. Dorian:
This scale works when played against either a major or minor G chord. When
played against a major chord, it produces a “bluesy” sound. The Bill Monroe
tune Evening Prayer Blues is played primarily using this scale. When this mode
is used against a minor chord, it sounds very nearly minor, differing from the
Aeolian mode by only the natural 6th. Phrygian:
Exotic, Spanish sound. This mode is often used in Flamenco pieces. Locrian:
Exotic, middle eastern sound. This mode differs most from the Major Mode, with
only the root and 5th in common. This mode is often used in Klezmer
music. Knowing the kind of mood you want to produce
and using the above diagram, you can determine the scale/mode that needs to be
played. Most players (including myself) do not regularly use all of the modes,
nor do they play in all of the keys. So consider a player who only plays out of
the G and D positions (capoing when needed) and only uses the Major, Minor, and
Mixolydian modes. That player could benefit greatly from practicing scales in
the keys of G, D, and C. These would help him play in G Mixolydian, D Mixolydian,
D Dorian, A Minor, and B Minor in addition to the three major keys. These are
not all the modes that these three scales support, but they are the more
commonly used. Familiarization with the F Scale would add significant
capability, notably C Mixolydian, D Minor and G Dorian. So knowledge of a few
scales can go a long way.
Pentatonic
Scales Pentatonic Scales, as is
implied by the name, consist of 5 notes instead of 7. The Pentatonic Scale is
defined by a sequence of Whole Step (W) and Three Half Step (W+) intervals as
follows:
Mode II
W W+
W W+ W
Mode III
W+ W
W+ W W
Mode IV
W W+ W W
W+
Mode V (Minor)
W+ W W W+
W These scales could be
considered “partial” diatonic scales. This is illustrated by the following
diagram, which leaves a space where a note number is omitted.
Mode II
1 2
4 5 7-
Mode III
1 3- 4
6- 7-
Mode IV
1 2
4 5 6
Mode V (Minor) 1
3- 4 5
7- By comparing this with the
corresponding diagram for diatonic modes, you can determine the diatonic modes
for which each pentatonic mode can be substituted. For example, the Minor Mode
(V) has all five notes in common with both the Aeolian and Dorian Modes, and
therefore, could be used in place of either. The following diagram suggests some
possible substitutions. Mode I (Major)
1
2 3
5 6
Ionian
1 2
3 4
5 6 7
Mode II
1 2
4 5 7-
Mixolydian
1 2 3
4 5
6 7-
Mode III
1 3- 4
6- 7-
Phrygian 1
2- 3- 4 5
6- 7-
Aeolean
1 2 3- 4
5 6- 7-
Mode IV
1 2
4 5 6
Ionian
1 2
3 4
5 6 7
Mode V (Minor)
1
3- 4 5
7-
Dorian
1 2
3- 4 5
6 7-
Aeolean
1 2 3- 4
5 6- 7- There are many other
substitutions of Pentatonic for Diatonic Modes that could be made just on the
basis of having notes in common, but it does not make sense to substitute a
scale that loses the “character” of the Diatonic Mode. For example, the
Major Pentatonic Mode has all notes in common with the Lydian Mode, but does not
include the augmented 4th, which is the “defining” note for the
Lydian Mode. Pentatonic scales are simpler and generally easier to play than diatonic scales, and can be very effective for improvisation. There are other five note scales that are used in Rock and Jazz that include half tone intervals. These will not be described here. |
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