Interval (music), the Glossary

Table of Contents

1. 176 relations: Absolute pitch, Accidental (music), Added tone chord, Adriaan Fokker, Alexander John Ellis, Arabic music, Atonality, Augmentation (music), Augmented fifth, Augmented octave, Augmented second, Augmented seventh, Augmented seventh chord, Augmented sixth, Augmented third, Augmented triad, Augmented unison, Beat (acoustics), Bijection, Bohlen–Pierce scale, Cent (music), Chord (music), Chromatic scale, Circle of fifths, Comma (music), Common practice period, Consonance and dissonance, Counterpoint, David Cope, David Lewin, Degree (music), Diaschisma, Diatonic and chromatic, Diatonic scale, Diatonic set theory, Diesis, Diminished fourth, Diminished octave, Diminished second, Diminished seventh, Diminished seventh chord, Diminished sixth, Diminished third, Diminished triad, Diminution, Ditone, Dominant (music), Dominant seventh chord, Dyad (music), Ear training, ... Expand index (126 more) »

2. Intervals (music)

Absolute pitch

Absolute pitch (AP), often called perfect pitch, is the ability to identify or re-create a given musical note without the benefit of a reference tone.

See Interval (music) and Absolute pitch

Accidental (music)

In musical notation, an accidental is a symbol that indicates an alteration of a given pitch.

See Interval (music) and Accidental (music)

Added tone chord

An added tone chord, or added note chord, is a non-tertian chord composed of a triad and an extra "added" note.

See Interval (music) and Added tone chord

Adriaan Fokker

Adriaan Daniël Fokker (17 August 1887 – 24 September 1972) was a Dutch physicist.

See Interval (music) and Adriaan Fokker

Alexander John Ellis

Alexander John Ellis (14 June 1814 – 28 October 1890) was an English mathematician, philologist and early phonetician who also influenced the field of musicology.

See Interval (music) and Alexander John Ellis

Arabic music

Arabic music (al-mūsīqā al-ʿarabīyyah) is the music of the Arab world with all its diverse music styles and genres.

See Interval (music) and Arabic music

Atonality

Atonality in its broadest sense is music that lacks a tonal center, or key.

See Interval (music) and Atonality

Augmentation (music)

In Western music and music theory, augmentation (from Late Latin augmentare, to increase) is the lengthening of a note or the widening of an interval.

See Interval (music) and Augmentation (music)

Augmented fifth

In Western classical music, an augmented fifth is an interval produced by widening a perfect fifth by a chromatic semitone.

See Interval (music) and Augmented fifth

Augmented octave

In Western tonal music theory, an augmented octave is the sum of a perfect octave and an augmented unison or chromatic semitone.

See Interval (music) and Augmented octave

Augmented second

In classical music from Western culture, an augmented second is an interval that, in 12-tone equal temperament, is sonically equivalent to a minor third, spanning three semitones, and is created by widening a major second by a chromatic semitone.

See Interval (music) and Augmented second

Augmented seventh

In classical music from Western culture, an augmented seventh is an interval produced by widening a major seventh by a chromatic semitone.

See Interval (music) and Augmented seventh

Augmented seventh chord

The augmented seventh chord, or seventh augmented fifth chord, or seventh sharp five chord is a seventh chord composed of a root, major third, augmented fifth, and minor seventh (1, 3, 5, 7).

See Interval (music) and Augmented seventh chord

Augmented sixth

In music, an augmented sixth is an interval produced by widening a major sixth by a chromatic semitone.

See Interval (music) and Augmented sixth

Augmented third

In classical music from Western culture, an augmented third is an interval of five semitones.

See Interval (music) and Augmented third

Augmented triad

An augmented triad is a chord, made up of two major thirds (an augmented fifth).

See Interval (music) and Augmented triad

Augmented unison

In modern Western tonal music theory an augmented unison or augmented prime is the interval between two notes on the same staff position, or denoted by the same note letter, whose alterations cause them, in ordinary equal temperament, to be one semitone apart.

See Interval (music) and Augmented unison

Beat (acoustics)

In acoustics, a beat is an interference pattern between two sounds of slightly different frequencies, perceived as a periodic variation in volume whose rate is the difference of the two frequencies.

See Interval (music) and Beat (acoustics)

Bijection

A bijection, bijective function, or one-to-one correspondence between two mathematical sets is a function such that each element of the first set (the domain) is mapped to exactly one element of the second set (the codomain).

See Interval (music) and Bijection

Bohlen–Pierce scale

The Bohlen–Pierce scale (BP scale) is a musical tuning and scale, first described in the 1970s, that offers an alternative to the octave-repeating scales typical in Western and other musics, specifically the equal-tempered diatonic scale.

See Interval (music) and Bohlen–Pierce scale

Cent (music)

The cent is a logarithmic unit of measure used for musical intervals. Interval (music) and cent (music) are intervals (music).

See Interval (music) and Cent (music)

Chord (music)

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.

See Interval (music) and Chord (music)

Chromatic scale

The chromatic scale (or twelve-tone scale) is a set of twelve pitches (more completely, pitch classes) used in tonal music, with notes separated by the interval of a semitone.

See Interval (music) and Chromatic scale

Circle of fifths

In music theory, the circle of fifths (sometimes also cycle of fifths) is a way of organizing pitches as a sequence of perfect fifths.

See Interval (music) and Circle of fifths

Comma (music)

In music theory, a comma is a very small interval, the difference resulting from tuning one note two different ways.

See Interval (music) and Comma (music)

Common practice period

In European art music, the common practice period was the period of about 250 years during which the tonal system was regarded as the only basis for composition.

See Interval (music) and Common practice period

Consonance and dissonance

In music, consonance and dissonance are categorizations of simultaneous or successive sounds.

See Interval (music) and Consonance and dissonance

Counterpoint

In music, counterpoint is a method of composition in which two or more musical lines (or voices) are simultaneously played which are harmonically correlated yet independent in rhythm and melodic contour.

See Interval (music) and Counterpoint

David Cope

David Cope (born May 17, 1941, in San Francisco, California) is an American author, composer, scientist, and Dickerson Emeriti Professor of Music at UC Santa Cruz.

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David Lewin

David Benjamin Lewin (July 2, 1933 – May 5, 2003) was an American music theorist, music critic and composer.

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Degree (music)

In music theory, the scale degree is the position of a particular note on a scale relative to the tonic—the first and main note of the scale from which each octave is assumed to begin.

See Interval (music) and Degree (music)

Diaschisma

The diaschisma (or diacisma) is a small musical interval defined as the difference between three octaves and four perfect fifths plus two major thirds (in just intonation).

See Interval (music) and Diaschisma

Diatonic and chromatic

Diatonic and chromatic are terms in music theory that are used to characterize scales.

See Interval (music) and Diatonic and chromatic

Diatonic scale

In music theory, a diatonic scale is any heptatonic scale that includes five whole steps (whole tones) 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.

See Interval (music) and Diatonic scale

Diatonic set theory

Diatonic set theory is a subdivision or application of musical set theory which applies the techniques and analysis of discrete mathematics to properties of the diatonic collection such as maximal evenness, Myhill's property, well formedness, the deep scale property, cardinality equals variety, and structure implies multiplicity.

See Interval (music) and Diatonic set theory

Diesis

In classical music from Western culture, a diesis (or enharmonic diesis, plural dieses (or "difference"; Greek: "leak" or "escape" is either an accidental (see sharp), or a very small musical interval, usually defined as the difference between an octave (in the ratio 2:1) and three justly tuned major thirds (tuned in the ratio 5:4), equal to 128:125 or about 41.06 cents.

See Interval (music) and Diesis

Diminished fourth

In classical music from Western culture, a diminished fourth is an interval produced by narrowing a perfect fourth by a chromatic semitone.

See Interval (music) and Diminished fourth

Diminished octave

In music from Western culture, a diminished octave is an interval produced by narrowing a perfect octave by a chromatic semitone.

See Interval (music) and Diminished octave

Diminished second

In modern Western tonal music theory, a diminished second is the interval produced by narrowing a minor second by one chromatic semitone.

See Interval (music) and Diminished second

Diminished seventh

In classical music from Western culture, a diminished seventh is an interval produced by narrowing a minor seventh by a chromatic semitone,Benward & Saker (2003).

See Interval (music) and Diminished seventh

Diminished seventh chord

The diminished seventh chord is a four-note chord (a seventh chord) composed of a root note, together with a minor third, a diminished fifth, and a diminished seventh above the root: (1, 3, 5, 7).

See Interval (music) and Diminished seventh chord

Diminished sixth

In classical music from Western culture, a diminished sixth is an interval produced by narrowing a minor sixth by a chromatic semitone.

See Interval (music) and Diminished sixth

Diminished third

In classical music from Western culture, a diminished third is the musical interval produced by narrowing a minor third by a chromatic semitone.

See Interval (music) and Diminished third

Diminished triad

In music theory, a diminished triad (also known as the minor flatted fifth) is a triad consisting of two minor thirds above the root.

See Interval (music) and Diminished triad

Diminution

In Western music and music theory, diminution (from Medieval Latin diminutio, alteration of Latin deminutio, decrease) has four distinct meanings.

See Interval (music) and Diminution

Ditone

In music, a ditone (from, "of two tones") is the interval of a major third.

See Interval (music) and Ditone

Dominant (music)

In music, the dominant is the fifth scale degree of the diatonic scale.

See Interval (music) and Dominant (music)

Dominant seventh 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 seventh.

See Interval (music) and Dominant seventh chord

Dyad (music)

In music, a dyad (less commonly, diad) is a set of two notes or pitches. Interval (music) and dyad (music) are intervals (music).

See Interval (music) and Dyad (music)

Ear training

In music, ear training is the study and practice in which musicians learn various aural skills to detect and identify pitches, intervals, melody, chords, rhythms, solfeges, and other basic elements of music, solely by hearing.

See Interval (music) and Ear training

Ebenezer Prout

Ebenezer Prout (1 March 1835 – 5 December 1909) was an English musical theorist, writer, music teacher and composer, whose instruction, afterwards embodied in a series of standard works still used today, underpinned the work of many British classical musicians of succeeding generations.

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Eleventh

In music or music theory, an eleventh is the note eleven scale degrees from the root of a chord and also the interval between the root and the eleventh.

See Interval (music) and Eleventh

Emphasis (typography)

In typography, emphasis is the strengthening of words in a text with a font in a different style from the rest of the text, to highlight them.

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Encyclopædia Britannica

The British Encyclopaedia is a general knowledge English-language encyclopaedia.

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Enharmonic equivalence

In music, two written notes have enharmonic equivalence if they produce the same pitch but are notated differently. Interval (music) and enharmonic equivalence are intervals (music).

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Equal temperament

An equal temperament is a musical temperament or tuning system that approximates just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequencies of any adjacent pair of notes is the same.

See Interval (music) and Equal temperament

Fifteenth

In music, a fifteenth or double octave, abbreviated 15ma, is the interval between one musical note and another with one-quarter the wavelength or quadruple the frequency.

See Interval (music) and Fifteenth

First inversion

The first inversion of a chord is the voicing of a triad, seventh chord, or ninth chord in which the third of the chord is the bass note and the root a sixth above it.

See Interval (music) and First inversion

Five-limit tuning

Five-limit tuning, 5-limit tuning, or 5-prime-limit tuning (not to be confused with 5-odd-limit tuning), is any system for tuning a musical instrument that obtains the frequency of each note by multiplying the frequency of a given reference note (the base note) by products of integer powers of 2, 3, or 5 (prime numbers limited to 5 or lower), such as.

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Frequency

Frequency (symbol f), most often measured in hertz (symbol: Hz), is the number of occurrences of a repeating event per unit of time.

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Function (music)

In music, function (also referred to as harmonic function) is a term used to denote the relationship of a chord"Function", unsigned article, Grove Music Online,.

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Fundamental frequency

The fundamental frequency, often referred to simply as the fundamental, is defined as the lowest frequency of a periodic waveform.

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Generic and specific intervals

In diatonic set theory a generic interval is the number of scale steps between notes of a collection or scale. Interval (music) and generic and specific intervals are intervals (music).

See Interval (music) and Generic and specific intervals

George Perle

George Perle (6 May 1915 – 23 January 2009) was an American composer and music theorist.

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Hal Leonard

Hal Leonard LLC (formerly Hal Leonard Corporation) is an American music publishing and distribution company founded in Winona, Minnesota, by Harold "Hal" Edstrom, his brother, Everett "Leonard" Edstrom, and fellow musician Roger Busdicker.

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Half-diminished seventh chord

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).

See Interval (music) and Half-diminished seventh chord

Harmonic minor scale

The harmonic minor scale (or Aeolian 7 scale) is a musical scale derived from the natural minor scale, with the minor seventh degree raised by one semitone to a major seventh, creating an augmented second between the sixth and seventh degrees.

See Interval (music) and Harmonic minor scale

Harmonic series (music)

A harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a fundamental frequency.

See Interval (music) and Harmonic series (music)

Harmonic seventh

The harmonic seventh interval, also known as the septimal minor seventh, or subminor seventh, is one with an exact 7:4 ratio (about 969 cents).

See Interval (music) and Harmonic seventh

Harmony

In music, harmony is the concept of combining different sounds together in order to create new, distinct musical ideas.

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Heptatonic scale

A heptatonic scale is a musical scale that has seven pitches, or tones, per octave.

See Interval (music) and Heptatonic scale

Hermann von Helmholtz

Hermann Ludwig Ferdinand von Helmholtz (31 August 1821 – 8 September 1894) was a German physicist and physician who made significant contributions in several scientific fields, particularly hydrodynamic stability.

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Indian classical music

Indian Classical Music is the classical music of the Indian Subcontinent.

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Integer

An integer is the number zero (0), a positive natural number (1, 2, 3,...), or the negation of a positive natural number (−1, −2, −3,...). The negations or additive inverses of the positive natural numbers are referred to as negative integers.

See Interval (music) and Integer

Interval (music)

In music theory, an interval is a difference in pitch between two sounds. Interval (music) and interval (music) are intervals (music).

See Interval (music) and Interval (music)

Interval class

In musical set theory, an interval class (often abbreviated: ic), also known as unordered pitch-class interval, interval distance, undirected interval, or "(even completely incorrectly) as 'interval mod 6'", is the shortest distance in pitch class space between two unordered pitch classes.

See Interval (music) and Interval class

Interval cycle

In music, an interval cycle is a collection of pitch classes created from a sequence of the same interval class. Interval (music) and interval cycle are intervals (music).

See Interval (music) and Interval cycle

Interval ratio

In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval. Interval (music) and interval ratio are intervals (music).

See Interval (music) and Interval ratio

Interval recognition

Interval recognition, the ability to name and reproduce musical intervals, is an important part of ear training, music transcription, musical intonation and sight-reading. Interval (music) and interval recognition are intervals (music).

See Interval (music) and Interval recognition

Inversion (music)

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.

See Interval (music) and Inversion (music)

Johannes Tinctoris

Jehan le Taintenier or Jean Teinturier (Latinised as Johannes Tinctoris; also Jean de Vaerwere; – 1511) was a Renaissance music theorist and composer from the Low Countries.

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John Tyrrell (musicologist)

John Tyrrell (17 August 1942 – 4 October 2018) was a British musicologist.

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Just intonation

In music, just intonation or pure intonation is the tuning of musical intervals as whole number ratios (such as 3:2 or 4:3) of frequencies.

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Key signature

In Western musical notation, a key signature is a set of sharp, flat, or rarely, natural symbols placed on the staff at the beginning of a section of music.

See Interval (music) and Key signature

Kleisma

In music theory and tuning, the kleisma (κλείσμα), or semicomma majeur, is a minute and barely perceptible comma type interval important to musical temperaments.

See Interval (music) and Kleisma

Latin

Latin (lingua Latina,, or Latinum) is a classical language belonging to the Italic branch of the Indo-European languages.

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Lipps–Meyer law

The Lipps–Meyer law, named for Theodor Lipps (1851–1914) and Max Friedrich Meyer (1873–1967), hypothesizes that the closure of melodic intervals is determined by "whether or not the end tone of the interval can be represented by the number two or a power of two", in the frequency ratio between notes (see octave). Interval (music) and Lipps–Meyer law are intervals (music).

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List of meantone intervals

The following is a list of intervals of extended meantone temperament. Interval (music) and list of meantone intervals are intervals (music).

See Interval (music) and List of meantone intervals

List of pitch intervals

Below is a list of intervals expressible in terms of a prime limit (see Terminology), completed by a choice of intervals in various equal subdivisions of the octave or of other intervals. Interval (music) and list of pitch intervals are intervals (music).

See Interval (music) and List of pitch intervals

Logarithm

In mathematics, the logarithm is the inverse function to exponentiation.

See Interval (music) and Logarithm

Logarithmic scale

A logarithmic scale (or log scale) is a method used to display numerical data that spans a broad range of values, especially when there are significant differences between the magnitudes of the numbers involved.

See Interval (music) and Logarithmic scale

Longman

Longman, also known as Pearson Longman, is a publishing company founded in London, England, in 1724 and is owned by Pearson PLC.

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Major and minor

In Western music, the adjectives major and minor may describe an interval, chord, scale, or key. Interval (music) and major and minor are intervals (music).

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Major chord

In music theory, a major chord is a chord that has a root, a major third, and a perfect fifth.

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Major scale

The major scale (or Ionian mode) is one of the most commonly used musical scales, especially in Western music.

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Major second

In Western music theory, a major second (sometimes also called whole tone or a whole step) is a second spanning two semitones.

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Major seventh

In music from Western culture, a seventh is a musical interval encompassing seven staff positions (see Interval number for more details), and the major seventh is one of two commonly occurring sevenths.

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Major seventh chord

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Major sixth

In music from Western culture, a sixth is a musical interval encompassing six note letter names or staff positions (see Interval number for more details), and the major sixth is one of two commonly occurring sixths.

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Major third

In classical music, a third is a musical interval encompassing three staff positions (see Interval number for more details), and the major third is a third spanning four half steps or two whole steps. Along with the minor third, the major third is one of two commonly occurring thirds.

See Interval (music) and Major third

McGraw Hill Education

McGraw Hill is an American publishing company for educational content, software, and services for pre-K through postgraduate education.

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Meantone temperament

Meantone temperaments are musical temperaments, that is a variety of tuning systems, obtained by narrowing the fifths so that their ratio is slightly less than 3:2 (making them narrower than a perfect fifth), in order to push the thirds closer to pure.

See Interval (music) and Meantone temperament

Melodic motion

Melodic motion is the quality of movement of a melody, including nearness or farness of successive pitches or notes in a melody.

See Interval (music) and Melodic motion

Melody

A melody, also tune, voice or line, is a linear succession of musical tones that the listener perceives as a single entity.

See Interval (music) and Melody

Microtone (music)

Microtonal or microtonality is the use in music of microtones—intervals smaller than a semitone, also called "microintervals".

See Interval (music) and Microtone (music)

Minor chord

In music theory, a minor chord is a chord that has a root, a minor third, and a perfect fifth.

See Interval (music) and Minor chord

Minor major seventh chord

A minor major seventh chord, or minor/major seventh chord (also known as the Hitchcock Chord) is a seventh chord composed of a root, minor third, perfect fifth, and major seventh (1, 3, 5, and 7).

See Interval (music) and Minor major seventh chord

Minor scale

In western classical music theory, the minor scale refers to three scale patterns – the natural minor scale (or Aeolian mode), the harmonic minor scale, and the melodic minor scale (ascending or descending).

See Interval (music) and Minor scale

Minor seventh

In music theory, a minor seventh is one of two musical intervals that span seven staff positions.

See Interval (music) and Minor seventh

Minor seventh 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).

See Interval (music) and Minor seventh chord

Minor sixth

In Western classical music, a minor sixth is a musical interval encompassing six staff positions (see Interval number for more details), and is one of two commonly occurring sixths (the other one being the major sixth).

See Interval (music) and Minor sixth

Minor third

In music theory, a minor third is a musical interval that encompasses three half steps, or semitones.

See Interval (music) and Minor third

Mode (statistics)

In statistics, the mode is the value that appears most often in a set of data values.

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Music and mathematics

Music theory analyzes the pitch, timing, and structure of music.

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Music Perception

Music Perception: An Interdisciplinary Journal is a peer-reviewed academic journal published by University of California Press five times a year.

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Music theory

Music theory is the study of the practices and possibilities of music.

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Musical instrument

A musical instrument is a device created or adapted to make musical sounds.

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Musical keyboard

A musical keyboard is the set of adjacent depressible levers or keys on a musical instrument.

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Musical note

In music, notes are distinct and isolatable sounds that act as the most basic building blocks for nearly all of music.

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Musical tuning

In music, there are two common meanings for tuning.

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Natural (music)

In modern Western music notation, a natural (♮) is a musical symbol that cancels a previous sharp or flat on a note in the written music.

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Neutral interval

In music theory, a neutral interval is an interval that is neither a major nor minor, but instead in between.

See Interval (music) and Neutral interval

Ninth

In music, a ninth is a compound interval consisting of an octave plus a second.

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Octave

In music, an octave (octavus: eighth) or perfect octave (sometimes called the '''diapason''') is a series of eight notes occupying the interval between (and including) two notes, one having twice the frequency of vibration of the other.

See Interval (music) and Octave

Ottó Károlyi

Ottó Károlyi (26 March 1934 – 30 November 2015) was a musicologist of Hungarian background, born in Paris who lived and worked for most of his career in the United Kingdom.

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Oxford University Press

Oxford University Press (OUP) is the publishing house of the University of Oxford.

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Paul Hindemith

Paul Hindemith (16 November 189528 December 1963) was a German and American composer, music theorist, teacher, violist and conductor.

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Perfect fifth

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.

See Interval (music) and Perfect fifth

Perfect fourth

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 (half steps, or half tones).

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Pitch (music)

Pitch is a perceptual property that allows sounds to be ordered on a frequency-related scale, or more commonly, pitch is the quality that makes it possible to judge sounds as "higher" and "lower" in the sense associated with musical melodies.

See Interval (music) and Pitch (music)

Pitch class

In music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart; for example, the pitch class C consists of the Cs in all octaves.

See Interval (music) and Pitch class

Pitch interval

In musical set theory, there are four kinds of interval. Interval (music) and Pitch interval are intervals (music).

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Pitch space

In music theory, pitch spaces model relationships between pitches.

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Power chord

A power chord, also called a fifth chord, is a colloquial name for a chord on guitar, especially on electric guitar, that consists of the root note and the fifth, as well as possibly octaves of those notes.

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Pseudo-octave

A pseudo-octave, pseudooctave,"Interview with Max Mathews", p.21. Interval (music) and pseudo-octave are intervals (music).

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Pythagorean comma

In musical tuning, the Pythagorean comma (or ditonic comma), named after the ancient mathematician and philosopher Pythagoras, is the small interval (or comma) existing in Pythagorean tuning between two enharmonically equivalent notes such as C and B, or D and C. It is equal to the frequency ratio.

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Pythagorean tuning

Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2.

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Quarter tone

A quarter tone is a pitch halfway between the usual notes of a chromatic scale or an interval about half as wide (orally, or logarithmically) as a semitone, which itself is half a whole tone.

See Interval (music) and Quarter tone

Quarter-comma meantone

Quarter-comma meantone, or -comma meantone, was the most common meantone temperament in the sixteenth and seventeenth centuries, and was sometimes used later.

See Interval (music) and Quarter-comma meantone

Ratio

In mathematics, a ratio shows how many times one number contains another.

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Regular temperament

A regular temperament is any tempered system of musical tuning such that each frequency ratio is obtainable as a product of powers of a finite number of generators, or generating frequency ratios.

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Renaissance music

Renaissance music is traditionally understood to cover European music of the 15th and 16th centuries, later than the Renaissance era as it is understood in other disciplines.

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Root (chord)

In the music theory of harmony, the root is a specific note that names and typifies a given chord.

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Rounding

Rounding or rounding off means replacing a number with an approximate value that has a shorter, simpler, or more explicit representation.

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Schisma

In music, the schisma (also spelled skhisma) is the interval between the syntonic comma (81:80) and the Pythagorean comma which is slightly larger.

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Semitone

A semitone, also called a minor second, 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.

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Sensations of Tone

On the Sensations of Tone as a Physiological Basis for the Theory of Music (German Die Lehre von den Tonempfindungen als physiologische Grundlage für die Theorie der Musik), commonly referred to as Sensations of Tone, is a foundational work on music acoustics and the perception of sound by Hermann von Helmholtz.

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Septimal comma

A septimal comma is a small musical interval in just intonation that contains the number seven in its prime factorization.

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Septimal kleisma

In music, the ratio 225/224 is called the septimal kleisma.

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Septimal minor third

In music, the septimal minor third, also called the subminor third (e.g., by Ellis) or septimal subminor third, is the musical interval exactly or approximately equal to a 7/6 ratio of frequencies.

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Serialism

In music, serialism is a method of composition using series of pitches, rhythms, dynamics, timbres or other musical elements.

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Set theory (music)

Musical set theory provides concepts for categorizing musical objects and describing their relationships.

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Shruti (music)

The shruti or śruti is the smallest interval of pitch that the human ear can detect and a singer or musical instrument can produce. Interval (music) and shruti (music) are intervals (music).

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Sixth chord

The term sixth chord refers to two different kinds of chord, the first in classical music and the second in modern popular music.

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Staff (music)

In Western musical notation, the staff: "in British English: also called: stave; plural: staffs or staves" (UK also stave; plural: staffs or staves), also occasionally referred to as a pentagram, is a set of five horizontal lines and four spaces that each represent a different musical pitch or in the case of a percussion staff, different percussion instruments.

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Stanley Sadie

Stanley John Sadie (30 October 1930 – 21 March 2005) was an influential and prolific British musicologist, music critic, and editor.

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Stefan Kostka

Stefan M. Kostka (born 1939) is an American music theorist, author, and Professor Emeritus of music theory at the University of Texas at Austin.

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Subminor and supermajor

In music, a subminor interval is an interval that is noticeably wider than a diminished interval but noticeably narrower than a minor interval. Interval (music) and subminor and supermajor are intervals (music).

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Superparticular ratio

In mathematics, a superparticular ratio, also called a superparticular number or epimoric ratio, is the ratio of two consecutive integer numbers.

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Symmetry

Symmetry in everyday life refers to a sense of harmonious and beautiful proportion and balance.

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Syntonic comma

In music theory, the syntonic comma, also known as the chromatic diesis, the Didymean comma, the Ptolemaic comma, or the diatonic comma is a small comma type interval between two musical notes, equal to the frequency ratio 81:80 (.

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The New Grove Dictionary of Music and Musicians

The New Grove Dictionary of Music and Musicians is an encyclopedic dictionary of music and musicians.

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Third (chord)

In music, the third factor of a chord is the note or pitch two scale degrees above the root or tonal center.

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Thirteenth

In music or music theory, a thirteenth is the note thirteen scale degrees from the root of a chord and also the interval between the root and the thirteenth.

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Timbre

In music, timbre, also known as tone color or tone quality (from psychoacoustics), is the perceived sound quality of a musical note, sound or tone.

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Time point

In music a time point or timepoint (point in time) is "an instant, analogous to a geometrical point in space".

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Transposition (music)

In music, transposition refers to the process or operation of moving a collection of notes (pitches or pitch classes) up or down in pitch by a constant interval.

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Triad (music)

In music, a triad is a set of three notes (or "pitch classes") that can be stacked vertically in thirds.

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Tritone

In music theory, the tritone is defined as a musical interval spanning three adjacent whole tones (six semitones).

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Twelve-tone technique

The twelve-tone technique—also known as dodecaphony, twelve-tone serialism, and (in British usage) twelve-note composition—is a method of musical composition first devised by Austrian composer Josef Matthias Hauer, who published his "law of the twelve tones" in 1919.

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Unison

In music, unison is two or more musical parts that sound either the same pitch or pitches separated by intervals of one or more octaves, usually at the same time.

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Western culture

Western culture, also known as Western civilization, European civilization, Occidental culture, or Western society, includes the diverse heritages of social norms, ethical values, traditional customs, belief systems, political systems, artifacts and technologies of the Western world.

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Wolf interval

In music theory, the wolf fifth (sometimes also called Procrustean fifth, or imperfect fifth) is a particularly dissonant musical interval spanning seven semitones. Interval (music) and wolf interval are intervals (music).

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Xenharmonic music

Xenharmonic music is music that uses a tuning system that is unlike the 12-tone equal temperament scale.

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12 equal temperament

12 equal temperament (12-ET) is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 (≈ 1.05946).

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7-limit tuning

7-limit or septimal tunings and intervals are musical instrument tunings that have a limit of seven: the largest prime factor contained in the interval ratios between pitches is seven.

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See also

Intervals (music)

• Cent (music)
• Complement (music)
• Compound intervals
• Cyclic set
• Dyad (music)
• Enharmonic equivalence
• Generic and specific intervals
• Incomposite interval
• Interval (music)
• Interval cycle
• Interval ratio
• Interval recognition
• Limma
• Lipps–Meyer law
• List of meantone intervals
• List of pitch intervals
• List of third intervals
• Major and minor
• Millioctave
• Monad (music)
• Octaves
• One-third octave
• Perfect intervals
• Picardy third
• Pitch interval
• Pseudo-octave
• Quarter tones
• Regular tuning
• Savart
• Shruti (music)
• Sixth tone
• Steps and skips
• Subminor and supermajor
• Superpartient ratio
• Tritones
• Wolf interval

References

[1] https://en.wikipedia.org/wiki/Interval_(music)

Also known as Compound interval, Compound intervals, Harmonic Interval, Imperfect interval, Interval (musical), Interval Pairs, Interval name, Interval number, Interval quality, Interval root, Interval strength, Intervallic, Intervallically, Intervals (music), Major interval, Melodic interval, Minor interval, Music interval, Music intervals, Musical interval, Musical intervals, Musical ratio, Perfect interval, Perfect intervals, Ratio (music), Root (interval), Simple and compound intervals, Simple interval, Sixth interval, Twelfth (music), Vertical (music).

, Ebenezer Prout, Eleventh, Emphasis (typography), Encyclopædia Britannica, Enharmonic equivalence, Equal temperament, Fifteenth, First inversion, Five-limit tuning, Frequency, Function (music), Fundamental frequency, Generic and specific intervals, George Perle, Hal Leonard, Half-diminished seventh chord, Harmonic minor scale, Harmonic series (music), Harmonic seventh, Harmony, Heptatonic scale, Hermann von Helmholtz, Indian classical music, Integer, Interval (music), Interval class, Interval cycle, Interval ratio, Interval recognition, Inversion (music), Johannes Tinctoris, John Tyrrell (musicologist), Just intonation, Key signature, Kleisma, Latin, Lipps–Meyer law, List of meantone intervals, List of pitch intervals, Logarithm, Logarithmic scale, Longman, Major and minor, Major chord, Major scale, Major second, Major seventh, Major seventh chord, Major sixth, Major third, McGraw Hill Education, Meantone temperament, Melodic motion, Melody, Microtone (music), Minor chord, Minor major seventh chord, Minor scale, Minor seventh, Minor seventh chord, Minor sixth, Minor third, Mode (statistics), Music and mathematics, Music Perception, Music theory, Musical instrument, Musical keyboard, Musical note, Musical tuning, Natural (music), Neutral interval, Ninth, Octave, Ottó Károlyi, Oxford University Press, Paul Hindemith, Perfect fifth, Perfect fourth, Pitch (music), Pitch class, Pitch interval, Pitch space, Power chord, Pseudo-octave, Pythagorean comma, Pythagorean tuning, Quarter tone, Quarter-comma meantone, Ratio, Regular temperament, Renaissance music, Root (chord), Rounding, Schisma, Semitone, Sensations of Tone, Septimal comma, Septimal kleisma, Septimal minor third, Serialism, Set theory (music), Shruti (music), Sixth chord, Staff (music), Stanley Sadie, Stefan Kostka, Subminor and supermajor, Superparticular ratio, Symmetry, Syntonic comma, The New Grove Dictionary of Music and Musicians, Third (chord), Thirteenth, Timbre, Time point, Transposition (music), Triad (music), Tritone, Twelve-tone technique, Unison, Western culture, Wolf interval, Xenharmonic music, 12 equal temperament, 7-limit tuning.