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Stephen E. Hefling

Rhythms in which long notes alternate with one or more short notes, so called because the long notes are usually written with the aid of the dot of addition (see Note values). Dotted rhythms are found in mensurally notated music of all periods; this article, however, deals mainly with music of the 17th and 18th centuries, in which it was customary to alter certain sorts of written rhythmic values in performance (see also Notes inégales; for notational meanings of the dot before 1600 see Notation, §III). The principal issue is the degree to which such rhythms sounded uneven, rather than the specific manner of their notation (e.g. the dot may be replaced by a rest or tie).

Dozens of contemporary theoretical and pedagogical sources indicate that the dot was ordinarily equal to one half the value of the note or rest preceding it, just as it is today. But the treatises also present various exceptions. The dot could stand for a tie (...



Murray Campbell and Mary Térey-Smith

The repetition of sound after a short time interval. In addition to the applications discussed below the term is used for a signal-processing device (also known as a delay) that produces a slightly delayed playback of sounds either by a tape loop or by digital delay; see Electric guitar §2 .

See also Organ stop .

Natural echoes arise from the reflection of a sound wave by a solid surface, such as a wall or cliff. For the echo to be perceived as distinct from the original sound, the extra path length travelled by the reflected sound wave must have a minimum value of around 17 metres, corresponding to a minimum time interval of 50 milliseconds between direct and reflected sounds.

The reverberant sound field in a concert hall is created by multiple reflections of sound waves. In a well-designed hall, the direct sound reaching a member of the audience is followed by a series of reflections within a time interval of around 35 milliseconds. These ‘early delayed arrivals’ are not heard as separate echoes; because of the ‘precedence effect’ they are perceived as a reinforcement of the direct sound. Subsequent reflections blend smoothly into the reverberation. A concave surface, focussing sound waves into a particular part of the hall, can give rise to an audible echo; a ‘flutter echo’ can arise from successive reflections between parallel walls....


Peter Williams

revised by Rosa Cafiero

(It.: ‘division’)

A term used fairly frequently in the late 18th and early 19th centuries to denote exercises in figured-bass playing, not so much as accompaniments to a solo instrument as self-contained pieces. Composers using this term were very often Neapolitan or Milanese, though the significance of this is unknown. The word may or may not refer to the 17th century practice of divisions, i.e. performing variations on a repeating (figured) bass; more likely it reflects the common Italian practice c 1700 of writing bass lines for keyboard players to work into fully-fledged pieces. The definition is attested to as early as 1634 by G.F. Cavalliere in Il scolaro principiante di musica (Naples). Examples are common in MSS, e.g. the ‘Arpeggi per cembalo’ exercises in GB-Lbl Add.14244 (?A. Scarlatti), the organ ‘Versetti … per rispondere al coro’ in Lbl Add.31501 (?B. Pasquini), and the complete solo and even duet figured-bass sonatas for harpsichord by Pasquini in ...


Douglas Leedy

revised by Charles Corey

Systems of organization of the pitch scale. Such systems are either “just” or “tempered.” Just systems consist entirely of pure intervals, and though literal transposition of patterns or scales may be very limited, other musically useful symmetries are available. Tempered systems are those in which the purity of some or all intervals is deliberately compromised in order to render other intervals less impure, and thus increase the number of musically serviceable intervals. Over the course of centuries countless tunings and temperaments have been proposed, but few have been of practical importance; of these, 12-tone equal temperament has become the standard in Western music since the 19th century.

Until about 1850 many organs in New England were tuned to some practical variant of meantone temperament, while in areas of German influence (such as the Moravian communities) equal temperament prevailed. The universal acceptance of 12-tone equal temperament as standard from the mid-19th century nearly silenced discussion of alternative systems; only a few isolated composers and theorists advocated or experimented with non-standard tuning systems before about ...