What is a forte name?

What is a forte name?

Italian: from the personal name Forte, from Late Latin fortis ‘strong’ (see Fort) or from a short form of a medieval personal name formed with this element, as for example Fortebraccio (‘strong arm’). Slovenian: shortened form of the personal name Fortunat, Latin Fortunatus. English: variant of Fort.

What is Forte number in music?

In musical set theory, a Forte number is the pair of numbers Allen Forte assigned to the prime form of each pitch class set of three or more members in The Structure of Atonal Music (1973, ISBN 0-300-02120-8).

How many set classes are there?

Symmetry is therefore found between T0 and T2I, and there are 12 sets in the T n /T n I equivalence class.

How do you find the prime form of a song?

Prime form is the version of the set that is transposed to zero and is most compact to the left (compared with its inversion.) You can find prime form mathematically or by using the clock face. All possible set classes are summarized in the set class table, available on Wikipedia and many other websites.

What is a vector in music?

In musical set theory, an interval vector is an array of natural numbers which summarize the intervals present in a set of pitch classes. (That is, a set of pitches where octaves are disregarded.)

What is a pitch set?

A set (pitch set, pitch-class set, set class, set form, set genus, pitch collection) in music theory, as in mathematics and general parlance, is a collection of objects.

What is meant by set theory?

Set theory is the mathematical theory of well-determined collections, called sets, of objects that are called members, or elements, of the set. So, the essence of set theory is the study of infinite sets, and therefore it can be defined as the mathematical theory of the actual—as opposed to potential—infinite.

What is basic set theory?

Sets are well-determined collections that are completely characterized by their elements. Thus, two sets are equal if and only if they have exactly the same elements. The basic relation in set theory is that of elementhood, or membership.

What’s an inverted chord?

A chord inversion occurs when any note other than the root of a basic chord is played down at the bass. For example, a basic C major chord includes the notes C, E and G. C, the chord note name and root, is placed at the bottom of the chord.

What does Prime mean in music?

The prime form is the version of the set class that is most compact to the left and transposed to begin on 0. All pitches that are equivalent enharmonically and which exhibit octave equivalence. The smallest possible distance between two pitch classes.

What is Z relation in music?

In musical set theory, a Z-relation, also called isomeric relation, is a relation between two pitch class sets in which the two sets have the same intervallic content (and thus the same interval vector) but they are not transpositionally related (are of different Tn-type ) or inversionally related (are of different Tn/ …

What is Allen Forte’s set theory?

Allen Forte’s Set Theory, Neutral level analysis and Poietics can be reduced to its root position and to the same function (tonic, dominant, etc.), it was possible for Forte to reduce the diversity and the multitude of all possible atonal sonic manifestations to a number of basic entities, 208 of them to be exact.

Can We reconcile the elaborate nomenclature of Allen Forte with musical segmentation?

This talk concludes with a concrete proposal which aims at reconciling the elaborate nomenclature of Forte with a rigorous method of musical segmentation. The goal of this study is to propose a critical evaluation, as synthetic as possible, of set theory as it is theorized and applied by Allen Forte.

Is Allen Forte’s analysis relevant to Schoenberg?

Allen Forte’s Set Theory, Neutral level analysis and Poietics Forte’s empirical observations are not what justifies the poietic relevance of his analy-sis. It is in fact his preconceived notions a priori about Schoenberg’s poietics which lead him to legitimate his analytical procedure.

One, known as the Forte number, derives from Allen Forte, whose The Structure of Atonal Music (1973), is one of the first works in musical set theory. Forte provided each set class with a number of the form c – d, where c indicates the cardinality of the set and d is the ordinal number.