Set theory (music)Musical set theory provides concepts for categorizing musical objects and describing their relationships. Howard Hanson first elaborated many of the concepts for analyzing tonal music. Other theorists, such as Allen Forte, further developed the theory for analyzing atonal music, drawing on the twelve-tone theory of Milton Babbitt. The concepts of musical set theory are very general and can be applied to tonal and atonal styles in any equal temperament tuning system, and to some extent more generally than that.
Jazz standardJazz standards are musical compositions that are an important part of the musical repertoire of jazz musicians, in that they are widely known, performed, and recorded by jazz musicians, and widely known by listeners. There is no definitive list of jazz standards, and the list of songs deemed to be standards changes over time. Songs included in major fake book publications (sheet music collections of popular tunes) and jazz reference works offer a rough guide to which songs are considered standards.
Mode (music)In music theory, the term mode or modus is used in a number of distinct senses, depending on context. Its most common use may be described as a type of musical scale coupled with a set of characteristic melodic and harmonic behaviors. It is applied to major and minor keys as well as the seven diatonic modes (including the former as Ionian and Aeolian) which are defined by their starting note or tonic. (Olivier Messiaen's modes of limited transposition are strictly a scale type.
ThirteenthIn 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. The thirteenth is most commonly major or minor . A thirteenth chord is the stacking of six (major or minor) thirds, the last being above the 11th of an eleventh chord. Thus a thirteenth chord is a tertian (built from thirds) chord containing the interval of a thirteenth, and is an extended chord if it includes the ninth and/or the eleventh.
Western canonThe Western canon is the body of high-culture literature, music, philosophy, and works of art that are highly valued in the West; works that have achieved the status of classics. However, not all these works originate in the Western world, and such works are also valued throughout the globe. It is "a certain Western intellectual tradition that goes from, say, Socrates to Wittgenstein in philosophy, and from Homer to James Joyce in literature". Classic book A classic is a book, or any other work of art, accepted as being exemplary or noteworthy.
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. The shifting of a melody, a harmonic progression or an entire musical piece to another key, while maintaining the same tone structure, i.e. the same succession of whole tones and semitones and remaining melodic intervals. For example, one might transpose an entire piece of music into another key.
Triad (music)In music, a triad is a set of three notes (or "pitch classes") that can be stacked vertically in thirds. Triads are the most common chords in Western music. When stacked in thirds, notes produce triads. The triad's members, from lowest-pitched tone to highest, are called: the root Note: Inversion does not change the root. (The third or fifth can be the lowest note.
Common practice periodIn European art music, the common-practice period is the era of the tonal system. Most of its features persisted from the mid-Baroque period through the Classical and Romantic periods, roughly from 1650 to 1900. There was much stylistic evolution during these centuries, with patterns and conventions flourishing and then declining, such as the sonata form. The most prominent, unifying feature throughout the period is a harmonic language to which music theorists can today apply Roman numeral chord analysis.
ArrangementIn music, an arrangement is a musical adaptation of an existing composition. Differences from the original composition may include reharmonization, melodic paraphrasing, orchestration, or formal development. Arranging differs from orchestration in that the latter process is limited to the assignment of notes to instruments for performance by an orchestra, concert band, or other musical ensemble. Arranging "involves adding compositional techniques, such as new thematic material for introductions, transitions, or modulations, and endings.
Ear trainingEar training or aural skills is a music theory study in which musicians learn to identify pitches, intervals, melody, chords, rhythms, solfeges, and other basic elements of music, solely by hearing. The application of this skill is analogous to taking dictation in written/spoken language. As a process, ear training is in essence the inverse of sight-reading, the latter being analogous to reading a written text aloud without prior opportunity to review the material.
