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The
Octatonic Scale &
Symphony of Psalms (Stravinsky)
by R. Toscano
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I mentioned in the introduction
to this column that it was my goal to talk about certain
topics that rarely
get mentioned on guitar related sites, or for that matter any
site that is out there. This will be the first such column
that I write for this site, which essentially deals with one
or more works by a composer, and deals with an application
of a topic that is not common to most guitar players or at
least is an expansion on certain things guitar players might
have heard about but never understood or saw applied.
For
this column in particular we are going to talk a little about
the octatonic scale; it should be noted that
by octatonic I mean the diminished scale and/or its
only mode. In classical music
the octatonic scale has come to mean that specific pitch
set (and/or its mode) and not any of the other possible eight
note
pitch collections. Outside of talking about the scale’s
properties and some of the possible harmonizations for it,
we are going to be looking at a work that uses it extensively.
That work is the Symphony of Psalms by Igor Stravinsky
(1882-1971) - one of the most important works out
of the 20th century. More specifically, we will be looking
at how Stravinsky utilizes
the octatonic scale (½ - W mode),
not as an exotic sound over a chord, or as a “lick” as
most guitar players will be accustomed to hearing when confronted
with
this scale;
but rather how Stravinsky builds the entire 1st movement
of the Symphony of Psalms from pretty much a single octatonic
collection, derives the harmonic and melodic attributes of
that movement from that one single set, and finally how he
manages to balance that entire movement of this masterpiece
on the ambiguous properties found within the octatonic scale.
But, before we get to work, let's look at what
the octatonic scale is all about.
Octatonic
Scale from C: ½, W, ½,
W, ½, W, ½, W (known as the Half-Whole Diminished
Scale)
Other
available Mode of the Octatonic scale from Db: W, ½,
W, ½,
W, ½, W, ½ (known
as the Whole-Half Diminished Scale)

These
are the only two modes available for this scale; every other inversion of this scale
will yield either the intervallic
ratio of the first scale or the second, always ½-W or
W-½. When we look at the Symphony of Psalms, you will
notice Stravinsky usually exploits the ½-W permutation
of the scale, as opposed to the W-½.
Furthermore, there are only
three possible transpositions for the octatonic scale, after which you find yourself circling
around inside one of those three previous permutations no matter
which intervallic transposition you used.
In regards to major/minor triads
found inside this scale? There will be eight major and minor
triads for each
of the 3 possible transposition levels of the octatonic collection. Here
are the eight major and minor triads from C octatonic (½-W
mode):

Let
us now get into the Symphony of Psalms, and how Stravinsky
controls an octatonic collection
(E ½-W
mode. It should be noted that anytime I say E octatonic I
in fact mean E ½-W collection in regards to this work
of Stravinsky’s) to derive most of the material in the
first movement.
Let
me take this time to say that we will be working with a piano reduction of the full score;
this will make things easier to digest and comprehend.
The work is originally scored for:
- 5
flutes (5th doubling piccolo)
- 4
oboes
- English
horn
- 3
bassoons
- Contrabassoon
- 4
horns in F
- Piccolo
trumpet
- 4
trumpets in C
- 3
trombones
- Tuba
- Timpani
- Bass
drum
- 2
pianos
- Harp
- Cellos
and Contrabasses (no violas or violins)
- Four-part
chorus: soprano, alto, tenor, and bass
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