Melody and the Mixolydian
Mode
Let's find out what this Mixolydian mode is
all about, now that we know how to tune into it and have
done some strumming. A mode is a particular arrangement of
seven notes plus the repeat. Most modes end on an octave,
although some obscure ones end on a fifth or a fourth tone.
(These are not used very much, however, except in monastic
Gregorian chanting.)
The fret arrangement of the dulcimer is based on the
assumption that the first, or open note, is "G" If we play
the white notes on a piano between G above middle C and G
above high C (G and g, in our previous illustration), the
letter values of the notes played would look like this on a
music staff.
We would have just played a scale--a succession of tones and
half-tones alphabetically labeled and arranged in ascending
or descending order from any given note, or keytone, to its
octave tone eight notes away. This is the scale of the
Mixolydian mode.
Some people claim that in the sixth century B.C. the
mathematician Pythagoras, by means of a single vibrating
string called "monochord," established the mathematical
ratios of the scale which has been the basis of music in the
West.
Robert Fludd: Utriusque Cosmi
Maioris scilicet et Minoris Metaphysica
Physica Atque Technica Historia,
pub.1617.
But whatever the history, if you refer the letter values of
the Mixolydian mode to the dulcimer's diatonic fretboard,
you can plainly see that each of the frets carries a note
value going up the scale. It's also obvious that the spaces
between the frets "b-c" and "e-f" are proportionately
smaller than the spaces between the other frets.
Whenever you sing or play the standard "major" scale (do -
re - mi - fa - sol - la - ti - do), each of the notes sound
tonally equidistant. They sound "whole" or "perfect" in and
of themselves, as well as in their tonal sequence. Over the
centuries our ears have become accustomed to this scale, and
we think it sounds perfect-- and perhaps it does. But it
really isn't "perfect." This common major scale actually
consists of six "whole tones" and two "half-tones"-- not
eight whole tones as it sounds.
In this common major scale (played on eight consecutive
white notes on the piano, beginning on the, note C), the
half-tones are the intervals between the notes "mi" and "fa"
and "ti" and "do" (positions 3 and 4, and 7 and 8.) But on
the dulcimer's scale the half-tones are between "mi and fa"
and "la and ti" (that is, positions 3 and 4, and 6 and 7.)
This particular arrangement corresponds to the notes b and
c, and e and f exactly as shown in the last illustration.
Indeed, the half-tones of the common major scale fall
between the same notes, but where the notes are in relation
to the other notes (what the sequence is) is different from
that of the dulcimer's scale.
In the case of the dulcimer's fret scale, the "particular
arrangement" of the eight tones is referred to as a "fixed
scheme" in that the intervals between the notes fall into a
never varying, universally accepted pattern. This concept of
fixed schemes is fundamental to the dulcimer's modal tuning
system, so keep it in mind as we go along . . . It's all in
the schemes.
The phenomenon of half-steps occurs because people began
singing modes before they began writing them down. When
people started writing music, it was for instruments like
the harp, psaltery, and Iyre that had individual strings for
each of the notes, so the inconsistency of the two
half-notes wasn't apparent. But when people began making and
playing fretted instruments, they discovered rather quickly
that they had to justify these tonal inconsistencies, and
they did so by developing the idea of fixed modal
schemes.
Every modal scale has a different arrangement of these two
half-tones within the structure of the six whole tones. The
tonal scheme of the Mixolydian mode, then, is: tonic root/
whole tone/ whole tone/ half tone/ whole tone/ whole tone/
half tone/ whole tone, which then repeats as the scale moves
into higher octaves. A more concise way of writing a mode's
fixed scheme is to count the intervals between the notes
themselves.
For the Mixolydian mode the interval scheme is: whole step/
whole step/ half step/ whole step/ whole step/ half step/
whole step, or: 1 - 1 - 1/2 - 1 - 1 - 1/2 - 1. Seven
intervals between eight notes, counting the repeat.
As you can see, the scheme of the Mixolydian mode is
identical to the usual fret arrangement of the dulcimer. To
begin the scale at G is as seemingly arbitrary as beginning
at any other note. Nonetheless, this is historically where
the dulcimer's scale arrangement was figured from for the
sake of standardization and reference, and it does place
middle C exactly there-- in the middle (G A B C D E F).
Since we all have to use this particular scale concept and
method for applying letter values, you will have to remember
along with everyone else involved with music in the Western
world, that the b--c and e--f intervals are half-tones. It's
just that simple. (It is here that so many people drop out
of music because, really, it doesn't make much sense at all,
except historically.)
Now, of course you don't have to be at the vibrational
frequency known as the note G to be tuned to the Mixolydian
mode-- we've already found this to be true. You know you can
tune to anything your strings and ears will tolerate as long
as your strongest, or tonic, note is on the open strum.
It is the relationship between strings that is important,
not the actual notes themselves. Likewise, it is the
relation of the steps of the scale to one another in the
fixed scheme of 1 - 1 - 1/2 - 1 - 1 - 1/2 - 1 which
determines whether or not you are in the Mixolydian
mode.
If you actually happen to be at the open chord value of G
(which may be a bit too high for unison strings of the .010
gauge), that's wonderful. You can then tell people you are
tuned in the traditional Mixolydian mode. If your unisons
are pitched someplace else, your tuning is transposed.
Using D as our keytone, the letter values for each note
going up the scale when tuned into the Mixolydian mode
are:
Now we're ready for melody, and you may even have learned a
little history, some music theory, and a few terms in
getting here.
Okay. . . Music gotta' have feet. But before beginning this
section on melody, sit and drum the fingers of your left
hand on something. Drum... drum ... drum ... That's just the
motion you want to use to fret the unisons. For playing
melodies on the dulcimer, your forefinger and middle finger
will become your most valuable tools. Later, we'll use
additional fingers to add effects and flourishes, and to
make chords. Also, we'll discuss techniques for fretting
with other objects.
Wellyn International ©2000-02 Revised 3/24/2002
|