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Geometric line segment whose endpoints lie on a circular arc
integer part. The chord function is defined geometrically as shown in the picture. The chord of an angle is the length of the chord between two points
Chord_(geometry)
Topics referred to by the same term
chord function may refer to: Diatonic function – in music, the role of a chord in relation to a diatonic key; In mathematics, the length of a chord of
Chord_function
Musical term
In music, function (also harmonic function or tonal function) denotes the relationship of a chord or scale degree to a tonal centre. Two main theories
Function_(music)
Type of chord in music theory
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,
Half-diminished_seventh_chord
2nd century AD trigonometric table
The table of chords, created by the Greek astronomer, geometer, and geographer Ptolemy in Egypt during the 2nd century AD, is a trigonometric table in
Ptolemy's_table_of_chords
Type of musical chord
The diminished seventh chord occurs as a leading-tone seventh chord in the harmonic minor scale. It typically has dominant function and contains two diminished
Diminished_seventh_chord
Fundamental trigonometric functions
antiquity, the trigonometric functions as they are in use today were developed in the medieval period. The chord function was discovered by Hipparchus
Sine_and_cosine
Chord that contains the interval of an augmented sixth
Conventionally used with a predominant function (resolving to the dominant), the three most common types of augmented sixth chords are usually called the Italian
Augmented_sixth_chord
Harmonic device in Western music
chord in tonal music. Secondary chords are referred to by the function they have and the key or chord in which they function. In Roman numeral analysis, they
Secondary_chord
Major chord in music theory
In Classical music theory, a Neapolitan chord (or simply a "Neapolitan") is a major chord built on the lowered (flat) second (supertonic) scale degree
Neapolitan_chord
Succession of musical chords
genres, chord progressions are the defining feature on which melody and rhythm are built. In tonal music, chord progressions have the function of either
Chord_progression
Harmonic grouping of notes
A chord is the simultaneous sound of two or more musical notes. The most common chord has three notes and is known as a triad. Added tone chords, extended
Chord_(music)
Tonal degree of the diatonic scale
seventh chords, and ninth chords typically have dominant function. Leading-tone triads and leading-tone seventh chords may also have dominant function. In
Dominant_(music)
Musical chord
In music theory, a dominant seventh chord, or major minor seventh chord, is a seventh chord composed of a root, major third, perfect fifth, and minor
Dominant_seventh_chord
Technique of using a chord in place of another in a progression of chords
songs are based on chord progressions. "A chord substitution occurs when a chord is replaced by another that is made to function like the original. Usually
Chord_substitution
music) Chromatic mediant Common chord (music) Diatonic function Eleventh chord Extended chord Jazz chord Lead sheet List of musical intervals List of pitch
List_of_chords
Functions of an angle
mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of
Trigonometric_functions
Musical chord
chord, F–B–D♯-A, with the note G♯ heard as an appoggiatura resolving to A. (Theorists debate the root of French sixth chords.) The harmonic function as
Tristan_chord
Musical chord extending a simple triad
extended chords are tertian chords with notes beyond the seventh. Chords such as the Ninth, eleventh, and thirteenth chords are extended chords. The thirteenth
Extended_chord
Topics referred to by the same term
relationship of a chord to a tonal centre Function (musician) (born 1973), David Charles Sumner, American techno DJ and producer "Function" (song), a 2012
Function
Musical term
chord with predominant (subdominant) function, normally resolving to a dominant chord. Examples of predominant chords are the subdominant (IV, iv), supertonic
Predominant_chord
Musical chord
A seventh chord is a chord consisting of a triad plus a note forming an interval of a seventh above the chord's root. When not otherwise specified, a
Seventh_chord
Type of chord
"counter relative" chords. In Hugo Riemann's theory, and in German theory more generally, these chords share the function of the chord to which they link:
Parallel_and_counter_parallel
Relative chord placement
The second inversion of a chord is the voicing of a triad or seventh chord in which the fifth of the chord is the bass note. In this inversion, the bass
Second_inversion
Musical chord
pop. As a dominant chord in diatonic harmony, it most commonly functions as a turnaround chord, returning to the tonic. The chord is also sometimes colloquially
Dominant seventh sharp ninth chord
Dominant_seventh_sharp_ninth_chord
Use of Roman Numeral symbols in the musical analysis of chords
harmonic analysis in which chords are represented by Roman numerals, which encode the chord's degree and harmonic function within a given musical key
Roman_numeral_analysis
Form of sheet music
notation, this same D major chord would be represented instead as a "two major" chord (2△ or 2M) with no implication as to its function. In some European countries
Chord_chart
Tonal degree of the diatonic scale
triad functions as a passing chord between I and I6. The leading-tone triad may also be regarded as an incomplete dominant seventh chord: "A chord is called
Leading_tone
Tonal degree of the diatonic scale
chords. The supertonic chord normally functions as a predominant chord, a chord that resolves to a chord with dominant function. The supertonic chord
Supertonic
1 minus the cosine of an angle
apparent if one looks at the functions in the original context for their definition, a unit circle: For a vertical chord AB of the unit circle, the sine
Versine
Chords used in jazz music
Jazz chords are chords, chord voicings and chord symbols that jazz musicians commonly use in composition, improvisation, and harmony. In jazz chords and
Jazz_chord
Type of musical chord
This chord has a dominant function. Unlike the dominant triad or dominant seventh, the leading-tone triad functions as a prolongational chord rather
Diminished_triad
Set of notes played on a guitar
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
Guitar_chord
Music theory concept
and function somewhat differently than conventional dominant chords. (However, sharp elevenths can also occur on non-substituted dominant chords in jazz
Tritone_substitution
Tonal center of a diatonic scale
on the tonic pitch, or more generally to a tonic chord of another quality. The tonic often functions as the tonal center or final resolution tone of tonal
Tonic_(music)
Six-note synthetic chord that appears in compositions by Alexander Scriabin
In music, the mystic chord or Prometheus chord is a six-note synthetic chord and its associated scale, or pitch collection, that loosely serves as the
Mystic_chord
Chord borrowed from the parallel key
A borrowed chord (also called chord borrowing, mode mixture, modal mixture, substituted chord, modal interchange, or mutation) is a chord borrowed from
Borrowed_chord
Choice, or set of absolutely continuous functions. a.c. – absolutely continuous. acrd – inverse chord function. ad – adjoint representation (or adjoint
List of mathematical abbreviations
List_of_mathematical_abbreviations
Eleventh chord used in jazz music
In jazz music, the Lydian chord is the major 7♯11 chord, or ♯11 chord, the chord built on the first degree of the Lydian mode, the sharp eleventh being
Lydian_chord
Type of musical chord
In music, a minor seventh chord is a seventh chord composed of a root note, a minor third, a perfect fifth, and a minor seventh (1, ♭3, 5, ♭7). In other
Minor_seventh_chord
Musical scale
triad G–B–D♯. One chord, with various spellings, may therefore have various harmonic functions in various keys. The seventh chords built on each scale
Harmonic_minor_scale
Musical note characterizing a chord
In music theory, the root of a chord is the note that names and typifies the chord. Tertian chords are named based on (1) their root, (2) their quality
Root_(chord)
System of music analysis
between tones and chords. Lendvai's analyses aim to show how chords and tones related by the intervals of a minor third and tritone can function as tonal substitutes
Axis_system
Ratio in aeronautics
thickness-to-chord ratio, sometimes simply chord ratio or thickness ratio, compares the maximum vertical thickness of a wing to its chord. It is a key
Thickness-to-chord_ratio
Type of musical chord
A minor these are: iio Bdim III C VI F Subsidiary chord Harrison, Daniel (1994). Harmonic Function in Chromatic Music: A Renewed Dualist Theory and an
Primary_triad
Diatonic seventh chord without dominant function
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
Nondominant_seventh_chord
System for naming chords
of chord names and symbols in different contexts to represent musical chords. In most genres of popular music, including jazz, pop, and rock, a chord name
Chord_notation
=2r\sin {\frac {\theta }{2}},} and consequently the sine function is also known as the half-chord. Due to this relationship, a number of trigonometric identities
History_of_trigonometry
Chord that is shared by two keys
A common chord, in the theory of harmony, is a chord that is diatonic to more than one key or, in other words, is common to (shared by) two keys. A "common
Common_chord_(music)
Tonal degree of the diatonic scale
followed by a tonic chord produces the so-called plagal cadence. Subdominant chords typically have predominant (subdominant) function, less resolved than
Subdominant
Y–X X–Y–X For example, a subsidiary chord in a modulation. A subsidiary chord may be a chord with related function and/or sharing pitches, for example
Subsidiary_chord
Bridge whose load-bearing superstructure is composed of a truss
trusses between an upper chord functioning as an arch that curves up and then down to end points, and a lower chord (functioning as a suspension cable)
Truss_bridge
Chord in jazz harmony
In jazz harmony, a So What chord is a particular 5-note chord voicing. From the bottom note upwards, it consists of three perfect fourth intervals followed
So_What_chord
Plane curve: conic section
the axis of symmetry, is the "focal length". The "latus rectum" is the chord of the parabola that is parallel to the directrix and passes through the
Parabola
1964 single by The Beatles
seventh chord (plus the fourth, G) (for more information regarding chord functions see diatonic function). Everett points out that the chord relates to
A_Hard_Day's_Night_(song)
End of a musical phrase with resolution
naming chords. An authentic cadence is a cadence from a dominant-functioning chord (commonly V) to the tonic chord (I). During the dominant chord, a seventh
Cadence
Musical chord
An augmented triad is a chord with a major third and an augmented fifth above the root. It is equivalent to a major chord whose top note (fifth) is augmented
Augmented_triad
Mathematical transform that expresses a function of time as a function of frequency
function. The Fourier transform is analogous to decomposing the sound of a musical chord into the intensities of its constituent pitches. Functions that
Fourier_transform
Chord where extra pitch is a sixth above the root
Sixth chord is the common name for any added tone chord where the extra pitch is a sixth above the root. The term also applies to three-note chords with
Sixth_chord
Type of musical chord
enharmonically equivalent. Because of this property, it readily functions as a pivot chord. It is also frequently encountered in tritone substitutions. In
Dominant seventh flat five chord
Dominant_seventh_flat_five_chord
Method of pairing compatible chords and scales
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
Chord-scale_system
major chord of arc ABCDE, and AB, BC, CD, DE are its nth equal segments. If chord AE = y, chord AB = BC = CD = DE = x, the task was to find chord y as
Ming Antu's infinite series expansion of trigonometric functions
Ming_Antu's_infinite_series_expansion_of_trigonometric_functions
Computer input device
A keyset or chorded keyboard (also called a chorded keyset, chord keyboard or chording keyboard) is a computer input device that allows the user to enter
Chorded_keyboard
Coordinates comprising a distance and an angle
astronomer Hipparchus (190–120 BC) created a table of chord functions giving the length of the chord for each angle, and there are references to his using
Polar_coordinate_system
Chord progression generation algorithm
a Roman numeral indicates the chord function. Important transformations include replacement or substitution of a chord by its dominant or subdominant:
Chord_rewrite_rules
Mathematical function
pair) or chord diagrams (sets of chords of a set of n + 1 points evenly spaced on a circle such that each point is the endpoint of exactly one chord, also
Double_factorial
Musical terminology
definition, any chord with a non-diatonic chord tone is an altered chord. The simplest example of altered chords is the use of borrowed chords, chords borrowed
Altered_chord
Treatise by Ancient Greek astronomer Hipparchus
_{A})}{R}}} Crd here refers to the chord function, which maps an angle in degrees to the corresponding length of a chord of a circle of unit diameter. Also
On Sizes and Distances (Hipparchus)
On_Sizes_and_Distances_(Hipparchus)
Seventh chord composed of four notes
A minor major seventh chord, or minor/major seventh chord is a seventh chord composed of a root, minor third, perfect fifth, and major seventh (1, ♭3,
Minor_major_seventh_chord
Fourth letter in the Greek alphabet
option price for a given change in the underlying benchmark. A major seventh chord in jazz music notation. In genetics, it can stand for a gene deletion (e
Delta_(letter)
1978 studio album by Queen
complex composition by Mercury. It features several modulations, unusual chord functions, a meter change (4/4 to 6/8 and back), and a programmatic section (a
Jazz_(Queen_album)
Distance along a curve
approximation is known as the (cumulative) chordal distance. If additional points are placed along the curve, the chordal distance will not decrease. It can increase
Arc_length
Musical scale
array of the alpha chord corresponds to the Fibonacci sequence.[further explanation needed] The beta chord (β chord) is a five-note chord, formed from the
Octatonic_scale
Chord progression
corresponds to a subdominant chord, while "♭III" is the mediant and "I" is the tonic. The "♭II" chord has a dominant function, and may be thought of as a
Andalusian_cadence
Analytic function that does not satisfy a polynomial equation
mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation whose coefficients are functions of the independent variable
Transcendental_function
Musical interval
the chord more playable [on guitar], thirteenth chords often omit the fifth and the ninth." Most commonly, 13th chords serve a dominant function (V13)
Thirteenth_(interval)
_{k=1}^{n}\sin \left({\frac {k\pi }{n}}-x\right).} or written in terms of the chord function crd x ≡ 2 sin 1 2 x {\textstyle \operatorname {crd} x\equiv 2\sin
List of trigonometric identities
List_of_trigonometric_identities
Type of musical note
implied or expressed chord set out by the harmonic framework. In contrast, a chord tone is a note that is a part of the functional chord. Nonchord tones are
Nonchord_tone
Simple curve of Euclidean geometry
full circle. Centre: the point equidistant from all points on the circle. Chord: a line segment whose endpoints lie on the circle, thus dividing a circle
Circle
A chord is a concurrency construct available in Polyphonic C♯ and Cω inspired by the join pattern of the join-calculus. A chord is a function body that
Chord_(concurrency)
Area of geometry, about angles and lengths
of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such
Trigonometry
Arrangement of a song, part of the songwriting process
pre-chorus functions to connect the verse to the chorus with intermediary material, typically using subdominant (usually built on the IV chord or ii chord, which
Song_structure
Major triad plus the harmonic seventh interval
seventh chords with dominant function (resolving down a perfect fifth), often in chains (secondary dominants), and nondominant major-minor seventh chords. Beginning
Harmonic_seventh_chord
Greek astronomer, geographer and mathematician (c. 190 – c. 120 BCE)
eccentricity of the orbits of the Moon and Sun. He tabulated values for the chord function, which for a central angle in a circle gives the length of the straight
Hipparchus
Top-to-bottom rearrangement of a musical interval, chord, or melody
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_(music)
American synthesizer company
oscillators and interval select buttons to give a basic paraphonic/chord function. Unique in its storage of patches on plastic punched cards. Released
Electronic_Music_Laboratories
Protocol for distributed hash table
algorithm is the base hashing function for consistent hashing. Consistent hashing is integral to the robustness and performance of Chord because both keys and
Chord_(peer-to-peer)
Aspect of music
possible justifications) be serving the harmonic function of the third of a D♭ minor chord, a borrowed chord within the scale. Therefore, the combination
Harmony
Chordal accompaniment to a line or melody
chord, the second note the ii minor chord, the third note the iii minor chord, the fourth note the IV major chord, the fifth note the V major chord (or
Harmonization
Change from one tonality to another
common chord is labeled with its function in both the original and the destination keys, as it can be heard either way. Where an altered chord is used
Modulation_(music)
1988 single by Sting
minor, and uses mainly the same chord progression throughout, Em - A - Bm (except in the bridge). These chords' functions are iv - VII - i. The soprano
Englishman_in_New_York
Musical string instrument
with damping pads that mute the strings not belonging to a specified chord. A chord is played by pressing the corresponding bar against the strings with
Autoharp
triad. Chordal syntax touches mainly four basic aspects. The first is, that the lowest note in each triad functions as a fundament of the chord and therefore
Musical_syntax
Mathematical functions
analogous to the trigonometric functions sine and cosine. While the trigonometric sine relates the arc length to the chord length in a unit-diameter circle
Lemniscate_elliptic_functions
Rigid structure that consists of two-force members only
member (the bottom chord) and the upper horizontal member (the top chord) carry tension and compression, fulfilling the same function as the flanges of
Truss
US military installation near Tacoma, Washington, US
Joint Base Lewis–McChord (JBLM) is a U.S. installation located 9.1 miles (14.6 km) south-southwest of Tacoma, Washington, operated by the United States
Joint_Base_Lewis–McChord
Tonal degree of the diatonic scale
the tonic chord. Thus, the third degree of a tonic triad is also the mediant iii note; furthermore, the 5th degree of the submediant chord vi is also
Mediant
Trigonometric functions introduced by Indian mathematicians and astronomers
used the halves of the chords instead of the full chords and associated the half-chords with the halves of the arcs. The half-chords were called ardha-jyās
Jyā,_koti-jyā_and_utkrama-jyā
Any of several Latin American instruments of the guitar or lute families
able to produce various sounds and variations of chords in a cuatro. Puente (bridge): The function of the bridge is to be able to maintain the strings
Cuatro_(instrument)
Compositional technique in music
compositional technique interspersing the primary diatonic pitches and chords with other pitches of the chromatic scale. In simple terms, within each
Chromaticism
CHORD FUNCTION
CHORD FUNCTION
Male
Hindi/Indian
Variant spelling of Hindi Damodara, DAAMODARAH means "waist-cord."
Boy/Male
Norse
Father of Thord.
Boy/Male
Danish, German, Norse
Son of Viking
Girl/Female
American, Australian, British, Chinese, Christian, English, French, Greek, Latin
A State of Order or Agreement; A Beautiful Blending; Agreement; Concord; Musical Combination of Chords; Harmony; Joining
Male
Hindi/Indian
(दामोदर) Variant spelling of Hindi Damodar, DAMODARA means "waist-cord."
Boy/Male
German English
Honest advisor.
Boy/Male
American, British, Danish, English, Finnish, German, Swedish
Bold Adviser; Wise; Courageous Advice; Cord Maker; Wise Counsel; Honest Adviser; Surname
Boy/Male
American, Australian, British, English
Cord-maker
Girl/Female
Australian, Indian, Sanskrit
Rope; Cord; A Ray of Light
Girl/Female
American, Australian, British, Chinese, Christian, Danish, Dutch, English, French, German, Hawaiian, Hebrew, Italian, Jamaican, Swedish, Swiss
Bound; Tied; Captivating; Knotted Cord; To Tie; To Bind; Strong Combatant Hearty
Boy/Male
Tamil
Dam=cord, Udara=stomach, Lord when he was tied with a rope around his waist
Surname or Lastname
English
English : habitational name from Chard or South Chard in Somerset, recorded in Domesday Book as Cerdren, possibly from Old English ceart ‘rough heathland’ + ærn ‘building’, ‘dwelling’. In some instances the surname may have arisen simply as a topographic name from ceart.French : from the personal name Chard, a short form of Richard;French : habitational name for someone from Chard in the department of Creuse.
Boy/Male
Norse
Father of Ashjom.
Boy/Male
American, British, English
Cord-maker
Surname or Lastname
English
English : variant of Herd.Respelling of Swedish HÃ¥rd (see Hard 2).
Boy/Male
American, British, English
Cord-maker; Surname
Boy/Male
African, American, British, English, Jamaican
Cord Maker
Girl/Female
Hebrew American
Captivating; knotted cord.
Boy/Male
African, American, Australian, British, Chinese, Christian, English, French, German, Jamaican
Cord Maker; Settler of Cord
Boy/Male
Hindu
Dam=cord, Udara=stomach, Lord when he was tied with a rope around his waist
CHORD FUNCTION
CHORD FUNCTION
Boy/Male
African, Arabic, Egyptian, French, Hindu, Indian, Muslim, Pashtun, Sindhi
Thankful; Grateful
Boy/Male
Dutch
Gift from God.
Boy/Male
English
Ruler of the land.
Boy/Male
Hindu, Indian
God Sivan
Boy/Male
Anglo Saxon
Brings.
Girl/Female
Hindu
Name of a Raga
Surname or Lastname
English
English : of uncertain origin; perhaps a variant of Eastes.
Girl/Female
Muslim/Islamic
Light
Girl/Female
Indian
Beautiful
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Telugu
Virtuous
CHORD FUNCTION
CHORD FUNCTION
CHORD FUNCTION
CHORD FUNCTION
CHORD FUNCTION
p. pr. & vb. n.
of Chore
a.
Of or pertaining to a chord.
n.
The string of a musical instrument.
n.
A solid measure, equivalent to 128 cubic feet; a pile of wood, or other coarse material, eight feet long, four feet high, and four feet broad; -- originally measured with a cord or line.
imp. & p. p.
of Chore
n.
A cord. See Cord, n., 4.
v. t.
To bind with a cord; to fasten with cords; to connect with cords; to ornament or finish with a cord or cords, as a garment.
v. t.
To provide with musical chords or strings; to string; to tune.
n.
A chord of three notes.
n.
See Chord.
imp. & p. p.
of Chord
n.
Any structure having the appearance of a cord, esp. a tendon or a nerve. See under Spermatic, Spinal, Umbilical, Vocal.
v. t.
To arrange (wood, etc.) in a pile for measurement by the cord.
n.
Fig.: Any moral influence by which persons are caught, held, or drawn, as if by a cord; an enticement; as, the cords of the wicked; the cords of sin; the cords of vanity.
n.
A combination of tones simultaneously performed, producing more or less perfect harmony, as, the common chord.
n.
A right line uniting the extremities of the arc of a circle or curve.
p. pr. & vb. n.
of Chord
n.
A cord.
n.
The upper or lower part of a truss, usually horizontal, resisting compression or tension.
v. i.
To accord; to harmonize together; as, this note chords with that.