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From: Winslow Yerxa <76450.32~ompuServe.COM>
Date: 31 Aug 96 17:49:25 EDT
Subject: Chromatic Tunings, Part II

TO: internet:harp~arply.com

In part I looked at tunings for the slide chromatic harmonica that
employed UNIFORM TUNINGS - tunings in which each hole of the
harmonica is tuned the same as every other hole. Each succesive
hole may be tuned anywhere from a semitone to a major third apart
before gaps will appear in the chromatic scale.

In this post, I'll look at DIATONIC TUNINGS - tunings based on a
diatonic scale. Which flavor of diatonic scale is less important
that how the uneven number of 7 notes Tis are arranged in a system of
even-numbered "places", where each hole yields 4 notes (2 blow, 2
draw). The major scale is traditionally used, but the tuning
could be based on minor scales or modes with similar results.

Uniform tunings have various advantages. but their characteristic
use of only one interval between notes in adjacent holes
restricts the variety of intervals that can be played smoothly -
by moving to an adjacent hole, with or without slide movement.
And while there is greater uniformity in scale patterns than with
standard tuning, many scales are made more awkward - and then
that awkwardness is repeated in several other keys.

Let's look at standard tuning, or Solo tuning as it's been called
for as long as anyone can remember.

==== SOLO TUNING

At its simplest, solo tuning is just a way of tuning a diatonic
in order to:

- - Give all the notes of a 7-note diatonic scale in each octave
- - Ensure that each octave is tuned like every other octave.

Solo tuning was developed from Richter tuning, and sought to
eliminate two problems in playing scale-based material: The
omission of two scale notes in the first octave (F and A on a C
harmonica, to allow for a full draw G chord), and the
inconsistent scale pattern above Hole 7. Solo tuning was created
by taking Holes 4 and 7 from Richter tuning and repeating the
pattern through 2, 3 or even 4 octaves.

(RICHTER-TUNED DIATONIC)

1 2 3 4 5 6 7 8 9 10
==================================================
DRAW: | D | G | B | D | F | A | B | D | F | A |
+----+----+----+----+----+----+----+----+----+----+
BLOW: | C | E | G | C | E | G | C | E | G | C |
==================================================
X X X X

(SOLO TUNING)


1 2 3 4 5 6 7 8 9 10 11 12
============================================================
DRAW | D | F | A | B | D | F | A | B | D | F | A | B |
============================================================
BLOW | C | E | G | C | C | E | G | C | C | E | G | C |
============================================================
* * * *

Note the doubled C blow notes (marked with *'s). The Major scale
has seven notes, but the blow-draw pairs employed by the
harmonica uses 8 "places". Without doubling one of the notes,
you'd get a change in the tuning as the scale progressed through
successive octaves, as is seen in Holes 7-10 on the Richter-tuned
diatonic shown above, or as in Spiral tuning, as shown below.

The BREAK Area

Also note that with Solo Tuning, in Hole 1 you blow, then draw to
go up the scale. Then you move up to Hole 2, and again blow, then
draw. Then you move over to Hole 3, and again blow and draw. A
blow-draw, move-up pattern has been established.

But in Hole 4 the pattern breaks down. From the Draw A in Hole 3,
we don't go to blow in Hole 5 - we DRAW again for B - 2 draw
notes in a row - and then blow for C. If we didn't do this, all
the blow notes from the first octave would become draw notes in
the second, and vice versa. The third octave would be like the
first, and a fourth octave would be like the second. This is
called spiral tuning, and it has some advantages, but one big
drawback. More about this later.

After we play the C in Hole 4, we can't go up the scale by
drawing in the same hole. If we move over to the next hole, Hole
5, we expect the blow note to be higher than Blow 4, but it's the
same note!

For these reasons I call the area from Draw 3 through Blow 5 (and
Draw 7 through Blow 9) THE BREAK - it breaks up every expectation
that the tuning of the first three holes set up. But it also
offers some unique possibilities (see below).

Now, when we add the second harmonica in Db with the slide, we
get:


1 2 3 4 5 6 7 8 9 10 11 12
============================================================
DRAWSLIDE | Eb | Gb | Bb | C | Eb | Gb | Bb | C | Eb | Gb | Bb | D |
_____________________________________________________________
DRAW | D | F | A | B | D | F | A | B | D | F | A | B |
============================================================
BLOWSLIDE | Db | F | Ab | Db | Db | F | Ab | Db | Db | F | A | Db |
_____________________________________________________________
BLOW | C | E | G | C | C | E | G | C | C | E | G | C |
============================================================

We now get some interesting things. We get F as a slide-in blow
note, and C as a slide-in draw note, which helps with some
phrasings in achieving a legato. And any melodic interval (i.e.
played one after the other) between same-breath notes in adjacent
holes can be:

- - Made smaller by using the slide on the lower note:

C-E (major 3rd) -> C#-E (minor 3rd)

- - Expanded by using the slide on the higher note:

C-E (major third) -> C-Blow F (Perfect 4th)

- - Or simply raised a semitone by holding in the slide on both
notes:

C-E -> Db-F

Given that solo tuning gives us a major 2nd, various minor and
major 3rds, and a perfect 4th, we can now use the slide to raise
them by a semitone, expand them, and contract them to produce a
wide variety of intervals. And wider intervals, played by
blocking out intervening holes with the tongue, yield even more
possibilities.

Even the "break" area gains unique benefits from the slide.

- - It gives a Major 2nd (A-B) and a perfect 4th (G-C) not found
elsewhere in the tuning. These can be raised with the slide.
Larry Adler could never have played the Hora Staccato in Eb
without that Bb-C slide-in trill that the break affords. And
Toots loves to rapidly alternate the G-C, then raise it with
the slide.

- - The Major 2nd and Perfect 4th can be expanded and contracted to
give not only major and minor 3rds, but also a semitone (A#-B)
and a tritone (G-C#). No other tuning under discussion so far
yields these possibilities.

- - A chunk of the chromatic scale, from A to C, can be played
entirely on draw notes, using the slide. This is regularly
employed by Stevie Wonder, Toots Thielemans and others, often
as a "rip."

- - The break also lets us play that nice A-B-D smoothly, and helps
in the smooth phrasing of several major scales, (G, C, F, Bb,
and Eb receivng the strongest benefits)

One thing that gets very tricky with Solo tuning is the chromatic
scale. This would happen with any tuning based on a diatonic
scale, becuase the scale intervals are of different sizes. This
is one area where uniform tunings have a clear advantage.

To illustrate:

Starting a chromatic scale on Blow C in Hole 1, we blow, press in
the slide, draw, press in the slide again. So far, so good. Then
we move over to Hole 2. Blow, then press in the slide. Now draw.

SURPRISE! Blow-side 2 and draw 2 are the same. So we have to
remember to skip one of these and go directly to Draw-slide 2 -
only 3 notes in that hole.

When we get to Hole 3, we're back to 4 notes, just like in hole
1. But in Hole 4, we're into the break, and must remember to
start on the draw note. Starting from there, we can either play
the last 4 notes of the scale as all draw notes with the slide,
or make the last note (C) a blow note in either Hole 4 or 5.

Pretty tricky. By contrast, augmented-chord tuning lets you
re-use the Hole 1 pattern in all holes.

ADVANTAGES

- - Wide variety of harmonic and melodic intervals in adjacent-hole
same-breath combinations
- - 8 semitone trills, 5 whole tone trills
- - ability to harmonize melodic lines in a variety of ways
- - Unique characteristics of the break area
- - C and F "choice notes" (blow or draw)
- - flat-key major scales fairly smooth
- - Each key offers different advantages

DISADVANTAGES

- - Repeated C's
- - inconsistent chromatic scale pattern
- - sharp-key major scales fairly choppy
- - Unique characteristics of the break area
- - Each key requires a different set of breathing patterns

==== SPIRAL TUNING

Let's say we start with the C Major scale, and decide that we
maintain an absolutely consistent tuning pattern in these ways:

- - Each note will start with a blow note, then have a draw note one
scale degree higher

- - From the draw note in any hole, the next note in the scale will
be a blow note in the hole to the right.

Here's what we come up with:


1 2 3 4 5 6 7 8 9 10 11 12
============================================================
DRAW | D | F | A | C | E | G | B | D | F | A | C | E |
============================================================
BLOW | C | E | G | B | D | F | A | C | E | G | B | D |
============================================================

Or, in the full chromatic version

1 2 3 4 5 6 7 8 9 10 11 12
============================================================
DRAWSLIDE | Eb | Gb | Bb | Db | F | Ab | C | Eb | Gb | Bb | Db | F |
_____________________________________________________________
DRAW | D | F | A | C | E | G | B | D | F | A | C | E |
============================================================
BLOWSLIDE | Db | F | Ab | C | Eb | Gb | Bb | Db | F | Ab | C | Eb |
_____________________________________________________________
BLOW | C | E | G | B | D | F | A | C | E | G | B | D |
============================================================


The most striking thing about this is that blow and draw notes
exchange places from one octave to the next. C-E-G-B are blow
notes in Holes 1-4 and again holes 8-11, but in between, they
are draw notes in HOles 4-7. The opposite happens for D-F-A. Many
players would completely shy away from this tuning for this
reason alone, but if you can resist the urge to flee, you'll note
a few advantages.

For starters, all the triads, 7th chords, 9ths, etc. possible in
the C major scale can be played, as chords, on this tuning,
because it expresses the entire scale in 3rds. We still get the
alternate versions of F and C, but we don't get the double C's.
And we get an absolutely consistent breathing pattern for an
ascending or descending scale, even if it takes two octaves
before it repeats. There's no break area, for better or worse.
And for the chromatic scale - well, it's really no better than
Solo tuning for consistency in breathing pattern.

ADVANTAGES

- - Consistent breathing pattern
- - Well-suited to chords drived from C or Db major scales and
their modes
- - Yields wider range than solo tuning
- - No break area

DISADVANTAGES

- - Breathing pattern takes 2 octaves to repeat, flips position
every octave
- - No adjacent semitones or tritones
- - Only 4 whole-tone trills
- - No break area

Winslow Yerxa
Harmonica Information Press
Z
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