Synthetic scale

Last updated

In music, a synthetic scale is a scale that derives from a traditional diatonic major scale by altering of one degree by a semitone in either direction. [1] Composer Ferruccio Busoni originally explored these scales in his A New Esthetic of Music [2] and their number and variety were later clarified by J. Murray Barbour, who also proposed applying the procedure to scales of more or less than seven degrees, including pentatonic scales. [1]

Contents

These synthetic pitch collections may serve as basic melodic or harmonic material for a passage of music. However, the hundreds of available scales cause Murray Barbour to propose that, "The whole problem is of greater theoretical interest than of practical worth." [1]

Alexander Scriabin's mystic chord, when considered as a scale (the Prometheus scale), is an example of a synthetic chord—in that it is a whole tone scale with one degree altered. However, it was not the generating element to Scriabin's music, nor does his derivation of it from the whole tone scale necessarily indicate knowledge of Busoni's theories. Starting on C, the Prometheus scale is

Synthetic scale

The semitone steps for this scale are 2, 2, 2, 3, 1, 2. By adding a G to the scale, one would end up with the LydianVII, the fourth degree of the Melodic Minor scale.

The pitches of synthetic scales may duplicate pre-existing scales, though their derivation is different and their use is often quite different.

See also

Related Research Articles

Major scale Diatonic scale made of seven notes

The major scale is one of the most commonly used musical scales, especially in Western music. It is one of the diatonic scales. Like many musical scales, it is made up of seven notes: the eighth duplicates the first at double its frequency so that it is called a higher octave of the same note.

In music theory, the minor scale is three scale patterns – the natural minor scale, the harmonic minor scale, and the melodic minor scale – rather than just two as with the major scale, which also has a harmonic form but lacks a melodic form.

In music theory, a scale is any set of musical notes ordered by fundamental frequency or pitch. A scale ordered by increasing pitch is an ascending scale, and a scale ordered by decreasing pitch is a descending scale.

In music theory, an interval is a difference in pitch between two sounds. An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord.

In music, a whole-tone scale is a scale in which each note is separated from its neighbors by the interval of a whole tone. In twelve-tone equal temperament, there are only two complementary whole-tone scales, both six-note or hexatonic scales. A single whole-tone scale can also be thought of as a "six-tone equal temperament".

In jazz, the altered scale, altered dominant scale, Palamidian Scale, or Super Locrian scale is a seven-note scale that is a dominant scale where all non-essential tones have been altered. This means that it comprises the three irreducibly essential tones that define a dominant seventh chord, which are root, major third, and minor seventh and that all other chord tones have been altered. These are:

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.

Semitone Musical interval

A semitone, also called a half step or a half tone, is the smallest musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically. It is defined as the interval between two adjacent notes in a 12-tone scale. For example, C is adjacent to C; the interval between them is a semitone.

In music, the mystic chord or Prometheus chord is a six-note synthetic chord and its associated scale, or pitch collection; which loosely serves as the harmonic and melodic basis for some of the later pieces by Russian composer Alexander Scriabin. Scriabin, however, did not use the chord directly but rather derived material from its transpositions.

In music, the Phrygian dominant scale is the fifth mode of the harmonic minor scale, the fifth being the dominant. Also called the altered Phrygian scale, dominant flat 2 flat 6 (in jazz), the Freygish scale (also spelled Fraigish), harmonic dominant, or simply the fifth mode of the harmonic minor scale. It resembles the scale of the Phrygian mode but has a major third. In the Berklee method, it is known as the Mixolydian 9 13 chord scale, a Mixolydian scale with a lowered 9th (2nd) and lowered 13th (6th), used in secondary dominant chord scales for V7/III and V7/VI. Bebop jazz pianist Barry Harris added a note to the scale and describes his use as "on C7, play down from the 7th of Eb7 to E the 3rd of C7” and especially over G-7b5 to C7b9 (the ii V in minor). He nicknamed this eight tone scale “the minor’s five”. Being eight tones it has the advantage of placing the chord tones on the beats which enables a melody to reinforce the underlying harmony. It also eliminates the harsh augmented 2nd melodic interval found in the seven tone 5th mode of harmonic minor scale. Another advantage is that gives improvisers an access to their often more familiar dominant scale vocabulary. Barry Harris further recognized that its descending form has an especially melodic quality rather than being played up from a root. He said he noticed this particular descending permutation being played by Charlie Parker several times on “What Is This Thing Called Love?”.

Modes of limited transposition are musical modes or scales that fulfill specific criteria relating to their symmetry and the repetition of their interval groups. These scales may be transposed to all twelve notes of the chromatic scale, but at least two of these transpositions must result in the same pitch classes, thus their transpositions are "limited". They were compiled by the French composer Olivier Messiaen, and published in his book La technique de mon langage musical.

Chromatic circle 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.

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 and music theory, a hexatonic scale is a scale with six pitches or notes per octave. Famous examples include the whole tone scale, C D E F G A C; the augmented scale, C D E G A B C; the Prometheus scale, C D E F A B C; and the blues scale, C E F G G B C. A hexatonic scale can also be formed by stacking perfect fifths. This results in a diatonic scale with one note removed.

Harmonic major scale

In music theory, the harmonic major scale is a musical scale found in some music from the common practice era and now used occasionally, most often in jazz. In George Russell's Lydian Chromatic Concept it is the fifth mode (V) of the Lydian Diminished scale. It corresponds to the Raga Sarasangi in Indian Carnatic music.

In music, the double harmonic major scale is a scale whose gaps may sound unfamiliar to Western listeners. This is also known as Mayamalavagowla, Bhairav Raga, Byzantine scale, Arabic, and Gypsy major. It can be likened to a gypsy scale because of the diminished step between the 1st and 2nd degrees. Arabic scale may also refer to any Arabic mode, the simplest of which, however, to Westerners, resembles the double harmonic major scale.

Diatonic and chromatic Terms in music theory to characterize scales

Diatonic and chromatic are terms in music theory that are most often used to characterize scales, and are also applied to musical instruments, intervals, chords, notes, musical styles, and kinds of harmony. They are very often used as a pair, especially when applied to contrasting features of the common practice music of the period 1600–1900.

In music, a symmetric scale is a music scale which equally divides the octave. The concept and term appears to have been introduced by Joseph Schillinger and further developed by Nicolas Slonimsky as part of his famous Thesaurus of Scales and Melodic Patterns. In twelve-tone equal temperament, the octave can only be equally divided into two, three, four, six, or twelve parts, which consequently may be filled in by adding the same exact interval or sequence of intervals to each resulting note.

Synthetic chord

In music theory and harmonic analysis, a synthetic chord is a made-up or non-traditional (synthetic) chord which cannot be analyzed in terms of traditional harmonic structures, such as the triad or seventh chord.

This title is applied to a group of notes, usually a scale-like succession of pitches, with a fixed progression of tones and semitones. This scale can obviously be transposed to any pitch, and depending on its intervallic makeup, will have a fixed number of possible transpositions. Furthermore, the sintetakkord can be used either vertically or horizontally; Roslavets' music is not concerned with the order of the pitches, but rather with the whole 'field' thus created, so that the system is less oriented toward themes and more toward harmonic fields. [See: Josef Matthias Hauer]

Musicology commonly classifies scales as either hemitonic or anhemitonic. Hemitonic scales contain one or more semitones, while anhemitonic scales do not contain semitones. For example, in traditional Japanese music, the anhemitonic yo scale is contrasted with the hemitonic in scale. The simplest and most commonly used scale in the world is the atritonic anhemitonic "major" pentatonic scale. The whole tone scale is also anhemitonic.

References

  1. 1 2 3 "Synthetic Musical Scales". Author(s): J. Murray Barbour. Source: The American Mathematical Monthly, Vol. 36, No. 3, (Mar., 1929), pp. 155-160.
  2. Busoni, Ferruccio (1907), translated Dr. Th. Baker (1911). Sketch Of A New Esthetic Of Music, p.29-39. ISBN   0-548-76595-2.

Further reading