Measures


A measure is a group of beats. The beats are added

together, in measures, to obtain a larger unit of time, because larger

divisions are more convenient for longer periods; just as we prefer to

indicate the dimensions of a house, or farm, in feet or rods, rather

than in inches.



Measures differ considerably in extent in various compositions,

inasmuch as the number of beats enclosed between the vertical bar
may

be, and is, determined quite arbitrarily. What is known as a Simple

measure contains either the two beats (heavy-light) of the fundamental

duple group, or the three beats (heavy-light-light) of the triple

group, shown in the preceding chapter. Compound measures are such as

contain more than two or three beats, and they must always be

multiplications, or groups, of a Simple measure; for whether so small

as to comprise only the fundamental groups of two or three beats (as in

2-4, 3-8, 3-4 measure), or so large as to embrace as many as twelve

beats or more (as in 4-4, 6-4, 6-8, 9-8, 12-8 measure), the measure

represents, practically, either the duple or triple species, Simple or

Compound. Thus, a measure of four beats, sometimes called (needlessly)

quadruple rhythm, is merely twice two beats; the species is actually

duple; the alternation of heavy and light pulses is regular; and

therefore the third beat is again an accent, as well as the first,

though less heavy. A measure of 6-8 is triple species, with accents

at beats one and four, precisely as if an additional vertical bar were

inserted after the third beat. In a word, then, the size of the

adopted measure is of no consequence, as long as it is retained

uniformly through the section to which it belongs; and there is no

real difference between 2-4 and 4-4 measure, excepting in the number

of bars used.



A curious and rare exception to this rule of the compound measure

occurs when five or seven beats are grouped together. This involves a

mingling of the duple and triple species, and, consequently, an

irregular disposition of the accents; for instance, 5-4 measure is

either 3+2 or 2+3 beats, with corresponding accentuation:



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