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The Microtone Zone
Ive been interested in microtonal music for quite some
time, and offer this article to shed a little light on an often
misunderstood subject. Ive played slide guitar for over
twenty five years, during which time I have spent a considerable
amount of time refining my intonation. Essentially, when playing
slide, your guitar is a fretless instrument, as you're not pressing
down on the frets to sound a pitch. The slide can be though of
as a moveable fret.
In my early years of playing slide guitar, I would play a fretted
note, then try to match that pitch with my slide. At some point
in this process, it became obvious to me that there were some
in-between notes that sounded really good, and so
I worked on refining those as well. In particular, I noticed
that both major and minor thirds sounded much better if I didnt
match try to match these to their closest fretted counterparts.
For a long time, I merely described those notes as ones that
I could feel in my spine when played right. Furthermore, for
many years, when tuning my fretted stringed instruments, I always
found that it never sounded quite right to my ears if I simply
tuned to an electronic tuner. Ive always had to temper
certain strings differently depending on what key or tuning I
was going to play in to get everything resonating with overtones
the way I wanted.
Over the years, my spiritual pursuits have often led me to some
interesting thoughts and questions. While reading Hazrat Inyat
Khans Music of Life, he mentions the music of the spheres.
This phrase stuck in my mind and I kept wondering what the music
of the spheres might sound like. The first time I heard a recording
of David Hykes and the Harmonic Choir in the early 1980s, I knew
that I had found the answer. A good friend who had taken a workshop
with him showed me the basic techniques of overtone singing,
and I was hooked.
Whether overtone singing, or simply playing harmonics on a stringed
instrument, you will notice if you compare these to fretted notes,
or pitches on an equal tempered piano or keyboard synthesizer,
that some of the harmonic pitches are not quite the same as the
ET ones. On a guitar, play the harmonic on the 9th fret of your
low E string. The note will sound as a G#. Try playing a fretted
G# or your high E string, you will notice that they aren't the
exact same pitch. This gives you an aural introduction into the
phenomenon of just intonation. Just intervals such as thirds
and sixths are approximately 15 cents off from their equal tempered
counterparts, a considerable deviation indeed. Here's a chart
showing the intervals in cents of five limit just intonation,
plus a couple of seven limit intervals that I find particularly
useful in folk music.
FIVE LIMIT JUST INTONATION
interval ratio cents from root note
root 1/1 ------------------------ 0
minor 2nd 16/15 ----------------------111.7
major 2nd 9/8 ------------------------203.9
minor 3rd 6/5 ------------------------315.6
major 3rd 5/4 ------------------------386.3
perfect 4th 4/3 ------------------------498.0
diminished 5th 45/32 -------------------590.2
perfect 5th 3/2 ------------------------702.0
minor 6th 8/5 ------------------------813.7
major 6th 5/3 ------------------------884.4
minor 7th 9/5 -----------------------1017.6
major 7th 15/8------- ---------------1088.3
octave 2/1------------------------1200
Here's a couple of very useful seven limit notes often heard
in blues and traditional fiddle styles.
blue minor 3rd 7/6 ----------------------266.9
blue minor 7th 7/4 ----------------------968.8
To make comparisons with equal temperament, just remember that
all the 12 ET intervals are 100 cents apart. The subject of temperaments
is quite vast, there are plenty of good books available, I suggest
reading a few to help gain a better understanding.
My ongoing studies of just intonation have helped to provide
me with the language to describe what I want to hear and play.
It is of course possible to just "play between the notes"
and leave it at that. But to be able to do so with precision
adds great depths of subtlety to your music. Many of the folk
music styles from around the world that I play use subtle pitch
deviations, this really makes an incredible difference. It's
debatable whether many traditional folk players are playing or
singing exact just intervals at all times, but it's clear that
musicians of many styles use microtonal intervals as a powerfully
expressive musical tool. Playing folk music in strict 12-ET cleans
it up too much for my taste.
I have used various instruments in the past few years to further
my explorations of just intonation and microtonality. These have
included 19-ET and 31-ET guitars and a fretted 31-ET dulcimer,
along with slide guitar, fretless banjo and fiddle. The 31 tone
instruments give close approximation to meantone, a much used
historical tuning, and also gave near just intervals when I was
first learning to play these intervals on a fretless instrument.
I've been learning overtone and throat singing, and have a particular
interest in playing folk instruments that play in the natural
overtone scale such as the Australian didjeridu and the jaw harps
and overtone flutes of Scandinavia and eastern Europe. Most recently
I've had an acoustic guitar converted to fretless by a luthier
friend, and am enjoying improvising on this instrument as well.
© 2002 Seth Austen