Pitch axis theory

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Pitch axis theory refers to a way of thinking about chord progressions and modes, that was heavily used and popularized (though not invented) by the guitarist Joe Satriani. [1]

Contents

When composing using this concept, the pitch axis is simply a chosen note (a specific pitch), which is thought of as the tonic for a sequence of chords, which must all have this pitch as their root note. However, the other notes in each chord may be drawn from completely different keys. A mode (or any other scale) is chosen that fits with each chord, and also has the "pitch axis" as its root note. This sequence of scales is then used for creating a melody or improvising a solo. [2] [3]

The term "pitch axis theory" has been criticized as misleading, as the above techniques do not represent a separate theory of music, and simply refer to the application of scales — according to standard music theory — over the common technique of a pedal point chord progression. However, the approach has also been praised as a useful compositional tool and perspective, which encourages experimentation with frequent key shifts and movements between parallel scales. [4]

Examples

Simple Example

As a simple example, [5] consider the following chord progression, which is non-diatonic (the chords are taken from multiple different keys), but all have root A.

| Amaj7(♯11)  | A7     | F/A | A7     |

In order to create a melody or improvise over this progression, we could use the following sequence of modes - which are different scales, but again, all have A as their root.

| A Lydian | A Mixolydian | A Aeolian | A Mixolydian |

In Satriani's terminology, this is a composition with a "pitch axis" of A

Joe Satriani: "Not of This Earth"

This progression has a pitch axis of E.

The chords from Joe Satriani's "Not of This Earth" Play (help*info)
. PitchAxis-Earth.jpg
The chords from Joe Satriani's "Not of This Earth" Loudspeaker.svg Play  .

Satriani chooses[ citation needed ] E Lydian, E Aeolian, E Lydian, and E Mixolydian as the modes to use for each chord.

The First chord, EΔ13, contains the 1st, 2nd, 6th, and 7th degrees of the E major scale. A common choice here might have been the Ionian mode (major scale), but Satriani prefers the Lydian scale with its ♯4 - which is a perfectly acceptable choice as the chord itself does not specify ♮4 or ♯4.
The Second chord is a Em7b6 with no 5th, making the E Aeolian mode (E-F♯-G-A-B-C-D-E) a possible choice. However in the Context of coming/modulating from E Lydian, another option would be keeping the #4/b5 Bb note, implying a much more fitting "Aeolian b5" or "Locrian nat2" scale (aka Bayati Shuri/Kartzigar) which is the 6th mode of the Melodic Minor Scale.
The Third chord is a EMaj7add6 with no 5th, where similarly, and given the Context, E Lydian mode could be used.
The Fourth chord is a E7sus4 without a 3rd and 5th, where E Mixolydian mode could be used. Or again, Lydian Dominant if one wanted to preserve the #4/b5 note.
Ultimately a number of different scales/modes could be used in the entirety of the progression,
and it would be up to the personal taste/interpretation of the performer or composer to decide what would be a better fit, or which type of harmony to apply.

Dream Theater: "Lie"

The chord progression from "Lie" by Dream Theater. PitchAxis-Lie.jpg
The chord progression from "Lie" by Dream Theater.

The transition to the guitar solo in Dream Theater's "Lie" is built on Pitch Axis Theory.[ citation needed ] The bass and guitar play the root (B) while the keyboardist implies the chords in the progression: B5, Bm7, Bm6, G/B, A/B.

Ignoring the root, the scales used for each of these four chords would be B Aeolian (natural minor), B Dorian, C♯ Mixolydian, and E Aeolian, respectively. However, from the perspective of pitch axis theory, we consider all scales to have the B root - so we would say that the progression is B Aeolian, B Dorian, B Lydian, and B Phrygian.

Joe Satriani: "Satch Boogie"

A more complex example is the bridge of "Satch Boogie", which still remains entirely in the "pitch axis" of A. [6]

"Satch Boogie" bridge progression Play (help*info)
. 'Satch Boogie' pitch axis progression.png
"Satch Boogie" bridge progression Loudspeaker.svg Play  .

Artists who use pitch axis theory

These artists use pitch axis theory and shifting modes in their music.

Related Research Articles

In music theory, a diatonic scale is any heptatonic scale that includes five whole steps and two half steps (semitones) in each octave, in which the two half steps are separated from each other by either two or three whole steps, depending on their position in the scale. This pattern ensures that, in a diatonic scale spanning more than one octave, all the half steps are maximally separated from each other.

In music theory, the term mode or modus is used in a number of distinct senses, depending on context.

A jazz scale is any musical scale used in jazz. Many "jazz scales" are common scales drawn from Western European classical music, including the diatonic, whole-tone, octatonic, and the modes of the ascending melodic minor. All of these scales were commonly used by late nineteenth and early twentieth-century composers such as Rimsky-Korsakov, Debussy, Ravel and Stravinsky, often in ways that directly anticipate jazz practice. Some jazz scales, such as the bebop scales, add additional chromatic passing tones to the familiar diatonic scales.

Chromaticism is a compositional technique interspersing the primary diatonic pitches and chords with other pitches of the chromatic scale. In simple terms, within each octave, diatonic music uses only seven different notes, rather than the twelve available on a standard piano keyboard. Music is chromatic when it uses more than just these seven notes.

Mixolydian mode may refer to one of three things: the name applied to one of the ancient Greek harmoniai or tonoi, based on a particular octave species or scale; one of the medieval church modes; or a modern musical mode or diatonic scale, related to the medieval mode.

The Aeolian mode is a musical mode or, in modern usage, a diatonic scale also called the natural minor scale. On the white piano keys, it is the scale that starts with A. Its ascending interval form consists of a key note, whole step, half step, whole step, whole step, half step, whole step, whole step. That means that, in A aeolian, you would play A, move up a whole step to B, move up a half step to C, then up a whole step to D, a whole step to E, a half step to F, a whole step to G, and a final whole step to a high A.

The modern Lydian mode is a seven-tone musical scale formed from a rising pattern of pitches comprising three whole tones, a semitone, two more whole tones, and a final semitone.

The Locrian mode is the seventh mode of the major scale. It is either a musical mode or simply a diatonic scale. On the piano, it is the scale that starts with B and only uses the white keys from there. Its ascending form consists of the key note, then: half step, whole step, whole step, half step, whole step, whole step, whole step.

<span class="mw-page-title-main">Chromatic circle</span> Clock diagram for displaying relationships among pitch classes

The chromatic circle is a clock diagram for displaying relationships among the 12 equal-tempered pitch classes making up the familiar chromatic scale on a circle.

<span class="mw-page-title-main">Heptatonic scale</span> Musical scale with seven pitches

A heptatonic scale is a musical scale that has seven pitches, or tones, per octave. Examples include the major scale or minor scale; e.g., in C major: C D E F G A B C—and in the relative minor, A minor, natural minor: A B C D E F G A; the melodic minor scale, A B C D E FGA ascending, A G F E D C B A descending; the harmonic minor scale, A B C D E F GA; and a scale variously known as the Byzantine, and Hungarian, scale, C D E F G A B C. Indian classical theory postulates seventy-two seven-tone scale types, collectively called thaat, whereas others postulate twelve or ten seven-tone scale types.

In music, the major Locrian scale, also called the Locrian major scale, is the scale obtained by sharpening the second and third notes of the diatonic Locrian mode. With a tonic of C, it consists of the notes C D E F G A B. It can be described as a whole tone scale extending from G to E, with F introduced within the diminished third interval from E to G. The scale therefore shares with the Locrian mode the property of having a diminished fifth above the tonic.

The Hungarian minor scale, double harmonic minor scale, or Gypsy minor scale is a type of combined musical scale. It is the fourth mode of the double harmonic scale. It is the same as the harmonic minor scale, except that it has a raised fourth scale degree to introduce an additional gap, or augmented second. It is a symmetrical scale with a slightly ambiguous tonal centre, due to the many half steps.

Bebop scale is a term referring to the practice of adding a note to any common seven tone scale in order to make it an eight tone scale. An eight tone scale is balanced, meaning that it contains an even number of notes (8), and an even number of notes enables the primary chord tones to continuously fall on the strong beats of "1 2 3 4" (downbeats). This is unlike common seven note scale in which the chord tones do not all naturally fall on the beats "1 2 3 4" (downbeats). These bebop scales are frequently used in jazz improvisation. Jazz educator David Baker nicknamed these scales the 'bebop scales' because they were used often by jazz artists from the Bebop Era. These artists include Charlie Christian, Charlie Parker, Bud Powell, and Dizzy Gillespie, to name a few.

<span class="mw-page-title-main">Jazz improvisation</span> Spontaneous composition in jazz

Jazz improvisation is the spontaneous invention of melodic solo lines or accompaniment parts in a performance of jazz music. It is one of the defining elements of jazz. Improvisation is composing on the spot, when a singer or instrumentalist invents melodies and lines over a chord progression played by rhythm section instruments and accompanied by drums. Although blues, rock, and other genres use improvisation, it is done over relatively simple chord progressions which often remain in one key.

E is the third note and the fifth semitone of the C major scale, and mi in fixed-do solfège. It has enharmonic equivalents of F♭ [(F-flat) which is by definition a diatonic semitone above E] and D, amongst others.

G♯ (G-sharp) or sol dièse is the ninth semitone of the solfège. In the German pitch nomenclature, it is known as gis.


B (B-flat) is the eleventh step of the Western chromatic scale . It lies a diatonic semitone above A and a chromatic semitone below B, thus being enharmonic to A, even though in some musical tunings, B will have a different sounding pitch than A. B-flat is also enharmonic to C.

The chord-scale system is a method of matching, from a list of possible chords, a list of possible scales. The system has been widely used since the 1970s and is "generally accepted in the jazz world today".

<i>Lydian Chromatic Concept of Tonal Organization</i>

The Lydian Chromatic Concept of Tonal Organization is a 1953 jazz music theory book written by George Russell. The book is the founding text of the Lydian Chromatic Concept (LCC), or Lydian Chromatic Theory (LCT). Russell's work postulates that all music is based on the tonal gravity of the Lydian mode.

The jazz minor scale is a derivative of the melodic minor scale, except only the ascending form of the scale is used. As the name implies, it is primarily used in jazz. It may be derived from the major scale with a minor third, making it a synthetic scale, and features a dominant seventh chord on the fifth degree (V) like the harmonic minor scale.

References

  1. Satriani, Joe. Strange Beautiful Music: A Musical Memoir.
  2. Paul Del Nero and Mitch Seidman (2006). Playing the Changes: Guitar: A Linear Approach to Improvising, p.2. ISBN   0-634-02223-7
  3. Rotfeld, Arthur and Satriani, Joe (2013). Joe Satriani - Legendary Licks, "Always With Me" notes. Hal Leonard. ISBN   9781480368101.
  4. "Pitch Axis Theory". GuitarStudioTV.
  5. 1 2 Fischer, Peter (2000). Rock Guitar Secrets, p.68-69. ISBN   3-927190-62-4.
  6. Satriani, Joe (1988). Surfing with the Alien, p.6. ISBN   0-89524-414-4.
  7. Govan, Guthrie (22 May 2019). "Tapping in 16th-Note Triplets with Guthrie Govan". Guitar World. Retrieved 25 July 2019.
  8. "The Lydian Chromatic Concept of Tonal Organization", George Russell's Lydian Chromatic Concept of Tonal Organization.