The rule of the octave is a way of harmonizing each note of the diatonic scale, reflecting common practice, and has its origin in the practice of thorough bass, or basso continuo, where it provided an easy way to find which chord could accompany each note of the scale in the bass, particularly in the absence of figuring. The earliest description of the chords harmonizing an octave may be that by Antonio Bruschi in 1711. [1] The name (règle des octaves, "rule of the octaves") was first given by François Campion in 1716. [2] The rule of the octave also formed the cornerstone of the "regole" (rules) of partimento collections. [3] There is normally a different harmonization for ascending and descending bass lines, and, although called a rule, there are several variants with different chords. Different versions for the major and minor scales are recorded. [4] One example for the major scale by John Hiles, [5] (this expansion of Hiles' line contains consecutive fifths of the second and third voices between the sixth and the seventh chords; which can, however, be avoided by crossing these voices e.g. in a choral version):
In music theory, the term mode or modus is used in a number of distinct senses, depending on context.
In music, harmony is the concept of combining different sounds together in order to create new, distinct musical ideas. Theories of harmony seek to describe or explain the effects created by distinct pitches or tones coinciding with one another; harmonic objects such as chords, textures and tonalities are identified, defined, and categorized in the development of these theories. Harmony is broadly understood to involve both a "vertical" dimension (frequency-space) and a "horizontal" dimension (time-space), and often overlaps with related musical concepts such as melody, timbre, and form.
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.
A fourth is a musical interval encompassing four staff positions in the music notation of Western culture, and a perfect fourth is the fourth spanning five semitones. For example, the ascending interval from C to the next F is a perfect fourth, because the note F is the fifth semitone above C, and there are four staff positions between C and F. Diminished and augmented fourths span the same number of staff positions, but consist of a different number of semitones.
Schenkerian analysis is a method of analyzing tonal music based on the theories of Heinrich Schenker (1868–1935). The goal is to demonstrate the organic coherence of the work by showing how the "foreground" relates to an abstracted deep structure, the Ursatz. This primal structure is roughly the same for any tonal work, but a Schenkerian analysis shows how, in each individual case, that structure develops into a unique work at the foreground. A key theoretical concept is "tonal space". The intervals between the notes of the tonic triad in the background form a tonal space that is filled with passing and neighbour tones, producing new triads and new tonal spaces that are open for further elaborations until the "surface" of the work is reached.
In music, a chord is a group of two or more notes played simultaneously, typically consisting of a root note, a third, and a fifth. Chords are the building blocks of harmony and form the harmonic foundation of a piece of music. They can be major, minor, diminished, augmented, or extended, depending on the intervals between the notes and their arrangement. Chords provide the harmonic support and coloration that accompany melodies and contribute to the overall sound and mood of a musical composition. For many practical and theoretical purposes, arpeggios and other types of broken chords may also be considered as chords in the right musical context.
The theorbo is a plucked string instrument of the lute family, with an extended neck that houses the second pegbox. Like a lute, a theorbo has a curved-back sound box with a flat top, typically with one or three sound holes decorated with rosettes. As with the lute, the player plucks or strums the strings with the right hand while "fretting" the strings with the left hand.
In the music theory of harmony, the root is a specific note that names and typifies a given chord. Chords are often spoken about in terms of their root, their quality, and their extensions. When a chord is named without reference to quality, it is assumed to be major—for example, a "C chord" refers to a C major triad, containing the notes C, E, and G. In a given harmonic context, the root of a chord need not be in the bass position, as chords may be inverted while retaining the same name, and therefore the same root.
In music, letter notation is a system of representing a set of pitches, for example, the notes of a scale, by letters. For the complete Western diatonic scale, for example, these would be the letters A-G, possibly with a trailing symbol to indicate a half-step raise or a half-step lowering. This is the most common way of specifying a note in speech or in written text in English or German. In Germany, Scandinavia, and parts of Central and Eastern Europe, H is used instead of B, and B is used instead of B♭. In traditional Irish music, where almost all tunes are restricted to two octaves, for notes in the lower octave to written in lower case while those in the upper octave to be written in upper case.
Voice leading is the linear progression of individual melodic lines and their interaction with one another to create harmonies, typically in accordance with the principles of common-practice harmony and counterpoint.
In music, a guitar chord is a set of notes played on a guitar. A chord's notes are often played simultaneously, but they can be played sequentially in an arpeggio. The implementation of guitar chords depends on the guitar tuning. Most guitars used in popular music have six strings with the "standard" tuning of the Spanish classical guitar, namely E–A–D–G–B–E' ; in standard tuning, the intervals present among adjacent strings are perfect fourths except for the major third (G,B). Standard tuning requires four chord-shapes for the major triads.
In music, consecutive fifths or parallel fifths are progressions in which the interval of a perfect fifth is followed by a different perfect fifth between the same two musical parts : for example, from C to D in one part along with G to A in a higher part. Octave displacement is irrelevant to this aspect of musical grammar; for example, a parallel twelfth is equivalent to a parallel fifth.
The second inversion of a chord is the voicing of a triad, seventh chord, or ninth chord in which the fifth of the chord is the bass note. In this inversion, the bass note and the root of the chord are a fourth apart which traditionally qualifies as a dissonance. There is therefore a tendency for movement and resolution. In notation form, it is referred to with a c following the chord position. In figured bass, a second-inversion triad is a 6
4 chord, while a second-inversion seventh chord is a 4
3 chord.
Inversions are not restricted to the same number of tones as the original chord, nor to any fixed order of tones except with regard to the interval between the root, or its octave, and the bass note, hence, great variety results.
In music theory, voicing refers to two closely related concepts:
In music theory, an inversion is a rearrangement of the top-to-bottom elements in an interval, a chord, a melody, or a group of contrapuntal lines of music. In each of these cases, "inversion" has a distinct but related meaning. The concept of inversion also plays an important role in musical set theory.
In music, harmonization is the chordal accompaniment to a line or melody: "Using chords and melodies together, making harmony by stacking scale tones as triads".
The term "four-part harmony" refers to music written for four voices, or for some other musical medium—four musical instruments or a single keyboard instrument, for example—for which the various musical parts can give a different note for each chord of the music.
Traditional sub-Saharan African harmony is a music theory of harmony in sub-Saharan African music based on the principles of homophonic parallelism, homophonic polyphony, counter-melody and ostinato-variation. Polyphony is common in African music and heterophony is a common technique as well. Although these principles of traditional African music are of Pan-African validity, the degree to which they are used in one area over another varies. Specific techniques that used to generate harmony in Africa are the "span process", "pedal notes", "rhythmic harmony", "harmony by imitation", and "scalar clusters".
A Partimento is a sketch, written out on a single staff, whose main purpose is to be a guide for the improvisation ("realization") of a composition at the keyboard. A Partimento differs from a basso continuo accompaniment in that it is a basis for a complete composition. Partimenti were central to the training of European musicians from the late 1600s until the early 1800s. They were developed in the Italian conservatories, especially at the music conservatories of Naples, and later at the Paris Conservatory, which emulated the Neapolitan conservatories.
Vasili Byros is a Greek-American music theorist, musicologist and pianist. He is best known for his contributions to the field of music schemata theory and partimento.