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Interval class Play ⓘ.. 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'" (Rahn 1980, 29; Whittall 2008, 273–74), is the shortest distance in pitch class space between two unordered pitch classes.
Octave and augmented second on pitch class C. The ordered pitch class interval is 3. The unordered pitch class interval is 'interval class 3' which is also used to describe major 6th. Play ⓘ. In musical set theory, pitch-class intervals do not distinguish between octaves since pitch-classes themselves treat all octaves as being equivalent.
The fundamental concept of musical set theory is the (musical) set, which is an unordered collection of pitch classes. [4] More exactly, a pitch-class set is a numerical representation consisting of distinct integers (i.e., without duplicates). [5]
The Schillinger system of musical composition, named after Joseph Schillinger (1895–1943) is a method of musical composition based on mathematical processes. It comprises theories of rhythm, harmony, melody, counterpoint, form and semantics, purporting to offer a systematic and non-genre approach to music analysis and composition; a descriptive rather than prescriptive grammar of music.
Relating to music produced by instruments, as opposed to electric or electronic means ad libitum (commonly ad lib; Latin) At liberty (i.e. the speed and manner of execution are left to the performer. It can also mean improvisation.) adagietto Fairly slowly (but faster than adagio) adagio Slowly adagissimo Very, very slowly affannato, affannoso ...
The Oxford Companion to Music describes three interrelated uses of the term "music theory": The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhythmic notation); the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology ...
According to Andranik Tangian, [7] analytical phrasing can be quite subjective, the only point is that it should follow a certain logic. For example, Webern’s Klangfarbenmelodie-styled orchestral arrangement of Ricercar from Bach’s Musical offering demonstrates Webern’s analytical phrasing of the theme, which is quite subjective on the one hand but, on the other hand, logically consistent:
A series of 12 just fifths as in Pythagorean tuning does not return to the original pitch, but rather differs by a Pythagorean comma, which makes that tonal area of the system more or less unusable. In meantone temperament, this effect is even more pronounced (the fifth over the break in the circle is known as the Wolf interval , as its intense ...