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Function (music)

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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 of tonal functions exist today: The German theory created by Hugo Riemann in his Vereinfachte Harmonielehre of 1893, which soon became an international success (English and Russian translations in 1896, French translation in 1899), and which is the theory of functions properly speaking.

Just intonationJust intonationJust intonation is the tuning of a musical interval without beats. The result is an acoustically pure sound that resonates within the harmonic series. The simplest relationship between pitches in this series can be expressed as small whole numberratios. Musicians around the world instinctively perform in just intonation. Just intonation also describes any musical tuning system containing five or more pure intervals within an octave.Riemannian theoryRiemannian theoryRiemannian theory, in general, refers to the musical theories of German theorist Hugo Riemann (1849–1919). His theoretical writings cover many topics, including musical logic, notation, harmony, melody, phraseology, the history of music theory, etc. More particularly, the term Riemannian theory often refers to his theory of harmony, characterized mainly by its dualism and by a concept of harmonic functions.Heinrich SchenkerHeinrich SchenkerHeinrich Schenker (19 June 1868 – 14 January 1935) was an Austrian music theoristwhose writings have had a profound influence on subsequent musical analysis. His approach, now termed Schenkerian analysis, was most fully explained in a three-volume series, Neue musikalische Theorien und Phantasien (New Musical Theories and Phantasies), which included Harmony (1906), Counterpoint (1910; 1922), and Free Composition (1935).Degree (music)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. Degrees are useful for indicating the size of intervals and chords and whether an interval is major or minor. In the most general sense, the scale degree is the number given to each step of the scale, usually starting with 1 for tonic. Defining it like this implies that a tonic is specified.Hermann GrabnerHermann Grabner (12 May 1886 – 3 July 1969) was an Austrian composer and music teacher.Diether de la MotteDiether de la Motte (30 March 1928 – 15 May 2010) was a German musician, composer, music theorist, music critic and academic teacher.Simon SechterSimon SechterSimon Sechter (11 October 1788 – 10 September 1867) was an Austrian music theorist, composer, conductor, and organist. He is best known as a strict music teacher, whose many students included Anton Bruckner, Sigismond Thalberg, and Henri Vieuxtemps. In 1851, he was professor of composition at the Vienna Conservatory; after Sechter's death, his student Bruckner would succeed him and continue teaching his approach to harmony and counterpoint.Chord (music)Chord (music)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 chords, and tone clusters can have more than three notes and are common in contemporary classical music and jazz. An arpeggio is a chord where notes are sounded separately. A series of chords is sometimes called a chord progression.Tonic (music)Tonic (music)In music, "tonic" refers to the originating note or chord of a particular key. Scales are based on their tonic pitch, or tonic note, which is why they begin and end with their tonic pitch. This is also why scales are named after their tonics: for instance, the tonic of the C major scale is the note C. In the movable do solfège system, the tonic note is sung as do.Vincent d'IndyVincent d'IndyPaul Marie Théodore Vincent d'Indy (French: [vɛ̃sɑ̃ dɛ̃di]; 27 March 1851 – 2 December 1931) was a French composer and teacher. His influence as a teacher, in particular, was considerable. He was a co-founder of the Schola Cantorum de Paris and also taught at the Paris Conservatoire. His students included Albéric Magnard, Albert Roussel, Arthur Honegger, Darius Milhaud, Yvonne Rokseth, and Erik Satie, as well as Cole Porter.Jean-Philippe RameauJean-Philippe RameauJean-Philippe Rameau (; French:; (1683-09-25)25 September 1683 – (1764-09-12)12 September 1764) was a Frenchcomposer and music theorist of the late Baroque era. Regarded as one of the most important French composers and music theorists of the 18th century, he replaced Jean-Baptiste Lully as the dominant composer of French opera and is also considered the leading French composer of his time for the harpsichord, alongside François Couperin.François-Joseph FétisFrançois-Joseph FétisFrançois-Joseph Fétis (French:; 25 March 1784 – 26 March 1871) was a Belgian musicologist, critic, teacher and composer. He was among the most influential music intellectuals in continental Europe. His enormous compilation of biographical data in the Biographie universelle des musiciens remains an important source of information today. FamilyFétis was born in Mons, Hainaut, eldest son of Antoine-Joseph Fétis and Élisabeth Desprets, daughter of a noted surgeon.

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