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Because 3/2 is not a rational power of two, the angle on the chromatic circle that represents a perfect fifth is not a rational multiple of 2 π {\displaystyle 2\pi } , and similarly other common musical intervals other than the octave do not correspond to rational angles.A tuning system is a collection of tones used to... | https://en.wikipedia.org/wiki/Steinhaus_conjecture |
An example is the Pythagorean tuning, which is constructed in this way from twelve tones, generated as the consecutive multiples of a perfect fifth in the circle of fifths. The irrational angle formed on the chromatic circle by a perfect fifth is close to 7/12 of a circle, and therefore the twelve tones of the Pythagor... | https://en.wikipedia.org/wiki/Steinhaus_conjecture |
In music theory, a natural (♮) is an accidental which cancels previous key signatures or accidentals and represents the unaltered pitch of a note. | https://en.wikipedia.org/wiki/Natural_note |
In music theory, a natural analogue of doubling is the octave (a musical interval caused by doubling the frequency of a tone), and a natural analogue of a cube is dividing the octave into three parts, each the same interval. In this sense, the problem of doubling the cube is solved by the major third in equal temperame... | https://en.wikipedia.org/wiki/Duplicating_the_cube |
In music theory, a neutral interval is an interval that is neither a major nor minor, but instead in between. For example, in equal temperament, a major third is 400 cents, a minor third is 300 cents, and a neutral third is 350 cents. A neutral interval inverts to a neutral interval. | https://en.wikipedia.org/wiki/Neutral_second |
For example, the inverse of a neutral third is a neutral sixth. Roughly, neutral intervals are a quarter tone sharp from minor intervals and a quarter tone flat from major intervals. In just intonation, as well as in tunings such as 31-ET, 41-ET, or 72-ET, which more closely approximate just intonation, the intervals a... | https://en.wikipedia.org/wiki/Neutral_second |
In music theory, a ninth chord is a chord that encompasses the interval of a ninth when arranged in close position with the root in the bass. The ninth chord and its inversions exist today, or at least they can exist. The pupil will easily find examples in the literature . | https://en.wikipedia.org/wiki/Ninth_chord |
It is not necessary to set up special laws for its treatment. If one wants to be careful, one will be able to use the laws that pertain to the seventh chords: that is, dissonances resolve by step downward, the root leaps a fourth upward. Heinrich Schenker and also Nikolai Rimsky-Korsakov allowed the substitution of the... | https://en.wikipedia.org/wiki/Ninth_chord |
In music theory, a nondominant seventh chord is both a diatonic chord and a seventh chord, but it does not possess dominant function, and thus it is not a dominant seventh chord. Since the V and viio chords are the dominant function chords, the "major minor seventh" V7 and "half-diminished seventh" viiø7 are the domina... | https://en.wikipedia.org/wiki/Nondominant_seventh_chord |
In music theory, a parameter denotes an element which may be manipulated (composed), separately from the other elements. The term is used particularly for pitch, loudness, duration, and timbre, though theorists or composers have sometimes considered other musical aspects as parameters. The term is particularly used in ... | https://en.wikipedia.org/wiki/Parameter |
In music theory, a perfect fifth is the musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so. In classical music from Western culture, a fifth is the interval from the first to the last of the first five consecutive notes in a diatonic scale. The perfect fifth (often abbr... | https://en.wikipedia.org/wiki/Just_perfect_fifth |
In a diatonic scale, the dominant note is a perfect fifth above the tonic note. The perfect fifth is more consonant, or stable, than any other interval except the unison and the octave. | https://en.wikipedia.org/wiki/Just_perfect_fifth |
It occurs above the root of all major and minor chords (triads) and their extensions. Until the late 19th century, it was often referred to by one of its Greek names, diapente. Its inversion is the perfect fourth. The octave of the fifth is the twelfth. A perfect fifth is at the start of "Twinkle, Twinkle, Little Star"... | https://en.wikipedia.org/wiki/Just_perfect_fifth |
In music theory, a phrase (Greek: φράση) is a unit of musical meter that has a complete musical sense of its own, built from figures, motifs, and cells, and combining to form melodies, periods and larger sections. A phrase is a substantial musical thought, which ends with a musical punctuation called a cadence. Phrases... | https://en.wikipedia.org/wiki/Musical_phrase |
Though the analogy between the musical and the linguistic phrase is often made, still the term "is one of the most ambiguous in music....there is no consistency in applying these terms nor can there be...only with melodies of a very simple type, especially those of some dances, can the terms be used with some consisten... | https://en.wikipedia.org/wiki/Musical_phrase |
Edward Cone analyses the "typical musical phrase" as consisting of an "initial downbeat, a period of motion, and a point of arrival marked by a cadential downbeat". Charles Burkhart defines a phrase as "Any group of measures (including a group of one, or possibly even a fraction of one) that has some degree of structur... | https://en.wikipedia.org/wiki/Musical_phrase |
To be complete such a group must have an ending of some kind … . Phrases are delineated by the tonal functions of pitch. They are not created by slur or by legato performance ... . A phrase is not pitches only but also has a rhythmic dimension, and further, each phrase in a work contributes to that work's large rhythmi... | https://en.wikipedia.org/wiki/Musical_phrase |
In music theory, a pitch simultaneity is more than one pitch or pitch class all of which occur at the same time, or simultaneously: "A set of notes sounded together." Simultaneity is a more specific and more general term than chord: many but not all chords or harmonies are simultaneities, though not all but some simult... | https://en.wikipedia.org/wiki/Simultaneity_(music) |
"A simultaneity succession is a series of different groups of pitches or pitch classes, each of which is played at the same time as the other pitches of its group. Thus, a simultaneity succession is a succession of simultaneities. Similarly, simultaneity succession is a more general term than chord progression or harmo... | https://en.wikipedia.org/wiki/Simultaneity_(music) |
In music theory, a predominant chord (also pre-dominant) is any chord which normally resolves to a dominant chord. Examples of predominant chords are the subdominant (IV, iv), supertonic (ii, ii°), Neapolitan sixth and German sixth. Other examples are the secondary dominant (V/V) and secondary leading tone chord. Predo... | https://en.wikipedia.org/wiki/Predominant_chord |
Predominant chords both expand away from the tonic and lead to the dominant, affirming the dominant's pull to the tonic. Thus they lack the stability of the tonic and the drive towards resolution of the dominant. The predominant harmonic function is part of the fundamental harmonic progression of many classical works. | https://en.wikipedia.org/wiki/Predominant_chord |
The submediant (vi) may be considered a predominant chord or a tonic substitute.The dominant preparation is a chord or series of chords that precedes the dominant chord in a musical composition. Usually, the dominant preparation is derived from a circle of fifths progression. The most common dominant preparation chords... | https://en.wikipedia.org/wiki/Predominant_chord |
In sonata form, the dominant preparation is in the development, immediately preceding the recapitulation. Ludwig van Beethoven's sonata-form works generally have extensive dominant preparation — for example, in the first movement of the Sonata Pathétique, the dominant preparation lasts for 29 measures (mm. 169–197). | https://en.wikipedia.org/wiki/Predominant_chord |
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. Often, especially in the context of the common practice period, most or all of the melody and harmony ... | https://en.wikipedia.org/wiki/Music_scale |
However, there is no need for scale steps to be equal within any scale and, particularly as demonstrated by microtonal music, there is no limit to how many notes can be injected within any given musical interval. A measure of the width of each scale step provides a method to classify scales. | https://en.wikipedia.org/wiki/Music_scale |
For instance, in a chromatic scale each scale step represents a semitone interval, while a major scale is defined by the interval pattern W–W–H–W–W–W–H, where W stands for whole step (an interval spanning two semitones, e.g. from C to D), and H stands for half-step (e.g. from C to D♭). Based on their interval patterns,... | https://en.wikipedia.org/wiki/Music_scale |
The tonic of a scale is the note selected as the beginning of the octave, and therefore as the beginning of the adopted interval pattern. Typically, the name of the scale specifies both its tonic and its interval pattern. For example, C major indicates a major scale with a C tonic. | https://en.wikipedia.org/wiki/Music_scale |
In music theory, a secondary leading-tone chord is a secondary chord that is rooted on a tone that is a leading-tone of (in short, has a strong affinity to resolve to) a tone just 1 semitone from that root (typically 1 semitone above, though can be below). Like the secondary dominant it can be used as tonicization of o... | https://en.wikipedia.org/wiki/Secondary_supertonic |
If it is major, the leading-tone chord may be either half-diminished or fully diminished, though fully diminished chords are used more often.Because of their symmetry, secondary leading-tone diminished seventh chords are also useful for modulation; all four notes may be considered the root of any diminished seventh cho... | https://en.wikipedia.org/wiki/Secondary_supertonic |
Secondary leading-tone chords were not used until the Baroque period and are found more frequently and less conventionally in the Classical period. They are found even more frequently and freely in the Romantic period, but they began to be used less frequently with the breakdown of conventional harmony. The chord progr... | https://en.wikipedia.org/wiki/Secondary_supertonic |
In music theory, a semiditone (or Pythagorean minor third) is the interval 32:27 (approximately 294.13 cents). It is the minor third in Pythagorean tuning. The 32:27 Pythagorean minor third arises in the 5-limit justly tuned major scale between the 2nd and 4th degrees (in the C major scale, between D and F). | https://en.wikipedia.org/wiki/Pythagorean_minor_third |
It can be thought of as two octaves minus three justly tuned fifths. It is narrower than a justly tuned minor third by a syntonic comma. Its inversion is a Pythagorean major sixth. | https://en.wikipedia.org/wiki/Pythagorean_minor_third |
In music theory, a theoretical key is a key whose key signature would have at least one double-flat () or double-sharp (). Double-flats and double-sharps are often used as a result of the main key being a specific flat or sharp. For example, the sixth note of C-sharp minor is A while in D-flat minor, C-sharp minor’s en... | https://en.wikipedia.org/wiki/A-sharp_major |
Due to the fact that there is no way to represent the A note by using a single flat key.) Using double flats and double sharps, however, makes the music too complex to read. This is why some musical keys, such as G-sharp major, are not normally used. | https://en.wikipedia.org/wiki/A-sharp_major |
In music theory, an augmented sixth chord contains the interval of an augmented sixth, usually above its bass tone. This chord has its origins in the Renaissance, was further developed in the Baroque, and became a distinctive part of the musical style of the Classical and Romantic periods.Conventionally used with a pre... | https://en.wikipedia.org/wiki/Augmented_sixth_chord |
In music theory, an eleventh chord is a chord that contains the tertian extension of the eleventh. Typically found in jazz, an eleventh chord also usually includes the seventh and ninth, and elements of the basic triad structure. Variants include the dominant eleventh (C11, C–E–G–B♭–D–F), minor eleventh (Cm11, C–E♭–G–B... | https://en.wikipedia.org/wiki/Eleventh_chord |
A perfect eleventh creates a highly dissonant minor ninth interval with the major third of major and dominant chords. To reduce this dissonance the third is often omitted (such as for example in the dominant eleventh chord that can be heard 52 seconds into the song "Sun King" on The Beatles' Abbey Road album), turning ... | https://en.wikipedia.org/wiki/Eleventh_chord |
As its upper extensions (7th, 9th, 11th) constitute a triad, a dominant eleventh chord with the third and fifth omitted can be notated as a compound chord with a bass note. So C–B♭–D–F is written as B♭/C, emphasizing the ambiguous dominant/subdominant character of this voicing. In the common practice period, the root, ... | https://en.wikipedia.org/wiki/Eleventh_chord |
In music theory, an enharmonic scale is "an gradual progression by quarter tones" or any " scale proceeding by quarter tones". The enharmonic scale uses dieses (divisions) nonexistent on most keyboards, since modern standard keyboards have only half-tone dieses. More broadly, an enharmonic scale is a scale in which (u... | https://en.wikipedia.org/wiki/Enharmonic_scale |
See: musical tuning. Musical keyboards which distinguish between enharmonic notes are called by some modern scholars enharmonic keyboards. (The enharmonic genus, a tetrachord with roots in early Greek music, is only loosely related to enharmonic scales.) | https://en.wikipedia.org/wiki/Enharmonic_scale |
Consider a scale constructed through Pythagorean tuning. A Pythagorean scale can be constructed "upwards" by wrapping a chain of perfect fifths around an octave, but it can also be constructed "downwards" by wrapping a chain of perfect fourths around the same octave. By juxtaposing these two slightly different scales, ... | https://en.wikipedia.org/wiki/Enharmonic_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 ... | https://en.wikipedia.org/wiki/Minor_interval |
Intervals smaller than a semitone are called microtones. They can be formed using the notes of various kinds of non-diatonic scales. | https://en.wikipedia.org/wiki/Minor_interval |
Some of the very smallest ones are called commas, and describe small discrepancies, observed in some tuning systems, between enharmonically equivalent notes such as C♯ and D♭. Intervals can be arbitrarily small, and even imperceptible to the human ear. In physical terms, an interval is the ratio between two sonic frequ... | https://en.wikipedia.org/wiki/Minor_interval |
For example, any two notes an octave apart have a frequency ratio of 2:1. This means that successive increments of pitch by the same interval result in an exponential increase of frequency, even though the human ear perceives this as a linear increase in pitch. For this reason, intervals are often measured in cents, a ... | https://en.wikipedia.org/wiki/Minor_interval |
In Western music theory, the most common naming scheme for intervals describes two properties of the interval: the quality (perfect, major, minor, augmented, diminished) and number (unison, second, third, etc.). Examples include the minor third or perfect fifth. These names identify not only the difference in semitones... | https://en.wikipedia.org/wiki/Minor_interval |
In music theory, an inversion is a type of change to intervals, chords, voices (in counterpoint), and melodies. 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. | https://en.wikipedia.org/wiki/Inversion_(music) |
In music theory, chord substitution is the technique of using a chord in place of another in a progression of chords, or a chord progression. Much of the European classical repertoire and the vast majority of blues, jazz and rock music songs are based on chord progressions. "A chord substitution occurs when a chord is ... | https://en.wikipedia.org/wiki/Chord_substitution |
Usually substituted chords possess two pitches in common with the triad that they are replacing. "A chord progression may be repeated to form a song or tune. Composers, songwriters and arrangers have developed a number of ways to add variety to a repeated chord progression. There are many ways to add variety to music, ... | https://en.wikipedia.org/wiki/Chord_substitution |
In music theory, complement refers to either traditional interval complementation, or the aggregate complementation of twelve-tone and serialism. In interval complementation a complement is the interval which, when added to the original interval, spans an octave in total. For example, a major 3rd is the complement of a... | https://en.wikipedia.org/wiki/Complement_(music) |
Note that the octave and the unison are each other's complements and that the tritone is its own complement (though the latter is "re-spelt" as either an augmented fourth or a diminished fifth, depending on the context). In the aggregate complementation of twelve-tone music and serialism the complement of one set of no... | https://en.wikipedia.org/wiki/Complement_(music) |
In music theory, contrapuntal motion is the general movement of two melodic lines with respect to each other. In traditional four-part harmony, it is important that lines maintain their independence, an effect which can be achieved by the judicious use of the four types of contrapuntal motion: parallel motion, similar ... | https://en.wikipedia.org/wiki/Contrapuntal_motion |
In music theory, equivalence class is an equality (=) or equivalence between properties of sets (unordered) or twelve-tone rows (ordered sets). A relation rather than an operation, it may be contrasted with derivation. "It is not surprising that music theorists have different concepts of equivalence ..." "Indeed, an in... | https://en.wikipedia.org/wiki/Equivalent_set |
Traditionally, octave equivalency is assumed, while inversional, permutational, and transpositional equivalency may or may not be considered (sequences and modulations are techniques of the common practice period which are based on transpositional equivalency; similarity within difference; unity within variety/variety ... | https://en.wikipedia.org/wiki/Equivalent_set |
Forte (1963, p. 76) similarly uses equivalent to mean identical, "considering two subsets as equivalent when they consisted of the same elements. In such a case, mathematical set theory speaks of the 'equality,' not the 'equivalence,' of sets." | https://en.wikipedia.org/wiki/Equivalent_set |
However, equality may be considered identical (equivalent in all ways) and thus contrasted with equivalence and similarity (equivalent in one or more ways but not all). For example, the C major scale, G major scale, and the major scale in all keys, are not identical but share transpositional equivalence in that the siz... | https://en.wikipedia.org/wiki/Equivalent_set |
In music theory, fake books and lead sheets aimed towards jazz and popular music, many tunes and songs are written in a key, and as such for all chords, a letter name and symbols are given for all triads (e.g., C, G7, Dm, etc.). In some fake books and lead sheets, all triads may be represented by upper case numerals, f... | https://en.wikipedia.org/wiki/Roman_numeral_analysis |
The accompaniment performers translate the Roman numerals to the specific chords that would be used in a given key. In the key of E major, the diatonic chords are: Emaj7 becomes Imaj7 (also I∆7, or simply I) F♯m7 becomes IIm7 (also II−7, IImin7, IIm, or II−) G♯m7 becomes IIIm7 (also III−7, IIImin7, IIIm, or III−) Amaj7... | https://en.wikipedia.org/wiki/Roman_numeral_analysis |
These chords are all borrowed from the key of E minor. Similarly, in minor keys, chords from the parallel major may also be "borrowed". For example, in E minor, the diatonic chord built on the fourth scale degree is IVm, or A minor. | https://en.wikipedia.org/wiki/Roman_numeral_analysis |
However, in practice, many songs in E minor will use IV (A major), which is borrowed from the key of E major. Borrowing from the parallel major in a minor key, however, is much less common. Using the V7 or V chord (V dominant 7, or V major) is typical of most jazz and pop music regardless of whether the key is major or... | https://en.wikipedia.org/wiki/Roman_numeral_analysis |
In music theory, harmonic rhythm, also known as harmonic tempo, is the rate at which the chords change (or progress) in a musical composition, in relation to the rate of notes. Thus a passage in common time with a stream of sixteenth notes and chord changes every measure has a slow harmonic rhythm and a fast surface or... | https://en.wikipedia.org/wiki/Harmonic_rhythm |
According to William Russo harmonic rhythm is, "the duration of each different chord...in a succession of chords." According to Joseph Swain (2002 p. 4) harmonic rhythm, "is simply that perception of rhythm that depends on changes in aspects of harmony." | https://en.wikipedia.org/wiki/Harmonic_rhythm |
According to Walter Piston (1944), "the rhythmic life contributed to music by means of the underlying changes of harmony. The pattern of the harmonic rhythm of a given piece of music, derived by noting the root changes as they occur, reveals important and distinctive features affecting the style and texture. "Strong ha... | https://en.wikipedia.org/wiki/Harmonic_rhythm |
"The 'fastness' or 'slowness' of harmonic rhythm is not absolute, but relative," and thus analysts compare the overall pace of harmonic rhythm from one piece to another, or the amount of variation of harmonic rhythm within a piece. For example, a key stylistic difference between Baroque music and Classical-period music... | https://en.wikipedia.org/wiki/Harmonic_rhythm |
In music theory, limit or harmonic limit is a way of characterizing the harmony found in a piece or genre of music, or the harmonies that can be made using a particular scale. The term limit was introduced by Harry Partch, who used it to give an upper bound on the complexity of harmony; hence the name. | https://en.wikipedia.org/wiki/11-limit_interval |
In music theory, passus duriusculus is a Latin term which refers to chromatic line, often a bassline, whether descending or ascending. A line cliché is any chromatic line that moves against a stationary chord. There are many different types of line clichés—most often in the root, fifth or seventh—but there are two name... | https://en.wikipedia.org/wiki/Chromatic_note |
Assuming the starting chord is the tonic, the simplest form of the major line cliché forms a I–I+–vi–I+ progression. The minor line cliché moves down from the root to the major seventh, to the minor seventh, and can continue until the fifth.From the late 16th century onward, chromaticism has come to symbolize intense e... | https://en.wikipedia.org/wiki/Chromatic_note |
254) speaks of a long established "dualism" in Western European harmonic language: "the diatonic on the one hand and the chromatic on the other as in the time of Monteverdi and Gesualdo whose madrigals provide many examples and employ virtually the same symbolism. The chromatic symbolizing darkness doubt and grief and ... | https://en.wikipedia.org/wiki/Chromatic_note |
243) if he really believed in an innate connection between "pathos" and chromaticism, the composer replied "Of course not; the association is entirely due to convention." Nevertheless the convention is a powerful one and the emotional associations evoked by chromaticism have endured and indeed strengthened over the yea... | https://en.wikipedia.org/wiki/Chromatic_note |
In music theory, pitch spaces model relationships between pitches. These models typically use distance to model the degree of relatedness, with closely related pitches placed near one another, and less closely related pitches placed farther apart. Depending on the complexity of the relationships under consideration, th... | https://en.wikipedia.org/wiki/Pitch_space |
Pitch spaces distinguish octave-related pitches. When octave-related pitches are not distinguished, we have instead pitch class spaces, which represent relationships between pitch classes. (Some of these models are discussed in the entry on modulatory space, though readers should be advised that the term "modulatory sp... | https://en.wikipedia.org/wiki/Pitch_space |
In music theory, pitch-class space is the circular space representing all the notes (pitch classes) in a musical octave. In this space, there is no distinction between tones that are separated by an integral number of octaves. For example, C4, C5, and C6, though different pitches, are represented by the same point in p... | https://en.wikipedia.org/wiki/Pitch_class_space |
In music theory, serialism is a method or technique of composition that uses a series of values to manipulate different musical elements. Serialism began primarily with Arnold Schoenberg's twelve-tone technique, though his contemporaries were also working to establish serialism as one example of post-tonal thinking. Tw... | https://en.wikipedia.org/wiki/Music_Theory |
Other types of serialism also work with sets, collections of objects, but not necessarily with fixed-order series, and extend the technique to other musical dimensions (often called "parameters"), such as duration, dynamics, and timbre. The idea of serialism is also applied in various ways in the visual arts, design, a... | https://en.wikipedia.org/wiki/Music_Theory |
Many of the notions were first elaborated by Howard Hanson (1960) in connection with tonal music, and then mostly developed in connection with atonal music by theorists such as Allen Forte (1973), drawing on the work in twelve-tone theory of Milton Babbitt. The concepts of set theory are very general and can be applied... | https://en.wikipedia.org/wiki/Music_Theory |
In music theory, the bass note of a chord or sonority is the lowest note played or notated. If there are multiple voices it is the note played or notated in the lowest voice (the note furthest in the bass.) Three situations are possible: The bass note is the root or fundamental of the chord. The chord is in root positi... | https://en.wikipedia.org/wiki/Bass_note |
One of the other pitches of the chord is in the bass. This makes it an inverted chord The bass note is not one of the notes in the chord. Such a bass note is an additional note, coloring the chord above it. | https://en.wikipedia.org/wiki/Bass_note |
The name of such a chord is also notated as a slash chord.In pre-tonal theory (Early music), root notes were not considered and thus the bass was the most defining note of a sonority. See: thoroughbass. In pandiatonic chords the bass often does not determine the chord, as is always the case with a nonharmonic bass. | https://en.wikipedia.org/wiki/Bass_note |
In music theory, the chromatic hexachord is the hexachord consisting of a consecutive six-note segment of the chromatic scale. It is the first hexachord as ordered by Forte number, and its complement is the chromatic hexachord at the tritone. For example, zero through five and six through eleven. On C: C, C♯, D, D♯, E,... | https://en.wikipedia.org/wiki/Chromatic_hexachord |
In the larger context of thirty-five source hexachords catalogued by Donald Martino, it is designated "Type A" (Martino 1961, 229–30). Applying the circle of fifths transformation to the chromatic hexachord produces the diatonic hexachord (Babbitt 1987, 93). As with the diatonic scale, the chromatic hexachord is, "hier... | https://en.wikipedia.org/wiki/Chromatic_hexachord |
Serial compositions including Karlheinz Stockhausen's Kreuzspiel and Klavierstück I feature the chromatic hexachord in permuted orderings, as do certain pieces composed by Milton Babbitt, Alban Berg, Ernst Krenek, Luigi Nono, Karlheinz Stockhausen, Igor Stravinsky, and Anton Webern in various fixed-order derivations (t... | https://en.wikipedia.org/wiki/Chromatic_hexachord |
The retrograde-symmetrical all-interval series employed by Luigi Nono for the first time in Canti per tredeci in 1955, also used in his Il canto sospeso and nearly all subsequent works up to Composizione per orchestra n. 2: Diario polacco ’58 in 1959, is built from two chromatic hexachords (Nielinger 2006, 97–98). Stef... | https://en.wikipedia.org/wiki/Chromatic_hexachord |
In music theory, the circle of fifths is a way of organizing the 12 chromatic pitches as a sequence of perfect fifths. (This is strictly true in the standard 12-tone equal temperament system — using a different system requires one interval of diminished sixth to be treated as a fifth). If C is chosen as a starting poin... | https://en.wikipedia.org/wiki/Circle_of_fifths |
In music theory, the concept of root is the idea that a chord can be represented and named by one of its notes. It is linked to harmonic thinking—the idea that vertical aggregates of notes can form a single unit, a chord. It is in this sense that one speaks of a "C chord" or a "chord on C"—a chord built from C and of w... | https://en.wikipedia.org/wiki/Root_note |
In this concept, chords can be inverted while still retaining their root. In tertian harmonic theory, wherein chords can be considered stacks of third intervals (e.g. in common practice tonality), the root of a chord is the note on which the subsequent thirds are stacked. For instance, the root of a triad such as C Maj... | https://en.wikipedia.org/wiki/Root_note |
A triad can be in three possible positions, a "root position" with the root in the bass (i.e., with the root as the lowest note, thus C, E, G or C, G, E, from lowest to highest notes), a first inversion, e.g. E, C, G or E, G, C (i.e., with the note which is a third interval above the root, E, as the lowest note) and a ... | https://en.wikipedia.org/wiki/Root_note |
In music theory, the dominant seventh flat five chord is a seventh chord composed of a root note, together with a major third, a diminished fifth, and a minor seventh above the root (1, ♮3, ♭5 and ♭7). For example, the dominant seventh flat five chord built on C, commonly written as C7♭5, is composed of the pitches C–E... | https://en.wikipedia.org/wiki/Dominant_seventh_flat_five_chord |
Because of this property, it readily functions as a pivot chord. It is also frequently encountered in tritone substitutions. | https://en.wikipedia.org/wiki/Dominant_seventh_flat_five_chord |
In this sense, there are only six "unique" dominant seventh flat five chords. In diatonic harmony, the dominant seventh flat five chord does not naturally occur on any scale degree (as does, for example, the dominant seventh chord on the fifth scale degree of the major scale e.g. C7 in F major). In classical harmony, t... | https://en.wikipedia.org/wiki/Dominant_seventh_flat_five_chord |
In music theory, the dominant triad is a major chord, symbolized by the Roman numeral "V" in the major scale. In the natural minor scale, the triad is a minor chord, denoted by "v". However, in a minor key, the seventh scale degree is often raised by a half step (♭ to ♮), creating a major chord. | https://en.wikipedia.org/wiki/Dominant_function |
These chords may also appear as seventh chords: typically as a dominant seventh chord, but occasionally in minor as a minor seventh chord v7 with passing function: As defined by the 19th century musicologist Joseph Fétis, the dominante was a seventh chord over the first note of a descending perfect fifth in the basse f... | https://en.wikipedia.org/wiki/Dominant_function |
In music theory, the double-diminished triad is an archaic concept and term referring to a triad, or three note chord, which, already being minor, has its root raised a semitone, making it "doubly diminished". However, this may be used as the derivation of the augmented sixth chord. For example, F–A♭–C is a minor triad... | https://en.wikipedia.org/wiki/Augmented_sixth_chord |
This is enharmonically equivalent to G♭–A♭–C, an incomplete dominant seventh A♭ 7, missing its fifth), which is a tritone substitute that resolves to G. Its inversion, A♭–C–F♯, is the Italian sixth chord that resolves to G. Classical harmonic theory would notate the tritone substitute as an augmented sixth chord on ♭2.... | https://en.wikipedia.org/wiki/Augmented_sixth_chord |
For example, in the key of C, the German sixth chord could be reinterpreted as the applied dominant of D♭. Simon Sechter explains the chord of the French sixth chord as being a chromatically altered version of a seventh chord on the second degree of the scale, . The German sixth is explained as a chromatically altered ... | https://en.wikipedia.org/wiki/Augmented_sixth_chord |
In music theory, the flamenco mode (also Major-Phrygian) is a harmonized mode or scale abstracted from its use in flamenco music. In other words, it is the collection of pitches in ascending order accompanied by chords representing the pitches and chords used together in flamenco songs and pieces. The key signature is ... | https://en.wikipedia.org/wiki/Flamenco_mode |
There are three fundamental elements which can help define whether or not something really is flameco: A flamenco mode -or musical tonality-; the compás -rhythm- and the performer...who should be a Flamenco! ...For example, if a composer writes a song using a flamenco key- usually called a mode- won't be writing a fla... | https://en.wikipedia.org/wiki/Flamenco_mode |
Only the flamenco guitar, de Falla noted, "can flexibly adjust itself to the ornate melodic embellishments of the flamenco mode." The exact chords depend on the song form (palo) and guitar chord positions since chord voicings in flamenco often include nontriadic pitches, especially open strings. It is characteristic t... | https://en.wikipedia.org/wiki/Flamenco_mode |
Since the tetrachord beginning on the tonic may ascend or descend with either G-sharp or natural (Phrygian tetrachord), the mixed-thirds clash between the major third degree (G♯) in the melody and the minor third degree (G♮) in the accompanying harmony occurs frequently and is characteristic of the flamenco esthetic, a... | https://en.wikipedia.org/wiki/Flamenco_mode |
In music theory, the half-diminished seventh chord (also known as a half-diminished chord or a minor seventh flat five chord) is a seventh chord composed of a root note, together with a minor third, a diminished fifth, and a minor seventh (1, ♭3, ♭5, ♭7). For example, the half-diminished seventh chord built on B, commo... | https://en.wikipedia.org/wiki/Half_diminished_chord |
The first inversion shares identity with a chord on the minor sixth:In diatonic harmony, the half-diminished seventh chord occurs naturally on the seventh scale degree of any major scale (for example, Bø7 in C major) and is thus a leading-tone seventh chord in the major mode. Similarly, the chord also occurs on the sec... | https://en.wikipedia.org/wiki/Half_diminished_chord |
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