<h2><SPAN name="CHAPTER_X" id="CHAPTER_X"></SPAN>CHAPTER X</h2>
<h2><span class="smcap">Measure</span></h2>
<p><SPAN name="SEC_97">97.</SPAN> From the standpoint of the eye, a <i>measure</i> is that portion of the
staff found between two bars, (in certain cases this space may be less
than a measure, as <i>e.g.</i>, at the beginning and end of a movement); but
from the standpoint of the ear a single, isolated measure is not
possible, and the term must therefore be defined in the plural form.</p>
<p><i>Measures</i> are similarly accented groups of evenly-spaced beats, each
group having at least one accented and one non-accented beat. The
strongest accent falls normally on the first beat in the measure.</p>
<p>Two essential characteristics are involved in the ordinary musical
measure:</p>
<p>(1) A group of even beats (or pulses), always felt, though not always
actually sounded, one or more of these beats being stronger than the
rest;</p>
<p>(2) Certain rhythmic figures (<ANTIMG src="images/rhythm.jpg" width-obs="207" height-obs="50" alt="rhythmic figure" title="rhythmic figure" /> etc.) which form the
actual musical content of these groups.</p>
<div class="blockquot"><p>The student will note the essential difference between rhythm
and measure. Rhythm is the regular recurrence of accent in a
series of beats (or pulses), while measure is the grouping of
these beats according to some specified system. In listening
to a piece of music, two hearers A and B may feel the <i>rhythm</i>
equally strongly, but A may subjectively group the beats
into—<i>one</i>, two | <i>one</i>, two |—etc., while B feels the
groups as—<i>one</i>, two, <i>three</i>, four | <i>one</i>, two, <i>three</i>,
four |—etc. Rhythm is thus seen to be a fundamental thing,
inherent in the music itself, while measure is to a certain
extent at least an arbitrary grouping which musicians have
adopted for practical purposes.</p>
</div>
<p>98. In <i>syncopation</i> the normal system of accenting is temporarily
suspended and the accented tone falls on the regularly unaccented part
of the measure. Syncopation may therefore be defined as the temporary
interruption of a normal<span class="pagenum"><SPAN name="Page_45" id="Page_45"></SPAN></span> series of accents, <i>i.e.</i>, accenting a beat
that is usually not accented. Thus <i>e.g.</i>, in Fig. 56, measure <i>one</i> has
the regular system of accents normally found in four-quarter-measure,
(strong accent on one, secondary accent on three); but measure <i>three</i>
has only one accent, and it falls on the second beat.</p>
<p style="text-align: center"> </p>
<p style="text-align: center">
<ANTIMG src="images/fig56.jpg" width-obs="500" height-obs="77" alt="Fig. 56" title="Fig. 56" /></p>
<p style="text-align: center"><SPAN href="music/fig56.mid">[Listen]</SPAN></p>
<p style="text-align: center"> </p>
<p><SPAN name="SEC_99">99.</SPAN> Measures are usually classified as <i>simple</i> and <i>compound</i>. A
<i>simple measure</i> is one which has but a single accent, <i>i.e.</i>, the
measure cannot be divided into smaller constituent groups. There are two
main classes of simple measures, two-beat measure, and three-beat
measure. A <i>compound measure</i> is (as its name implies) one made up by
combining two or more simple measures, or by the elaboration of a single
measure (in slow tempo) into several constituent groups. The principal
compound measures are four-beat and six-beat, both being referred to as
compound-duple measures. Five-beat, seven-beat, nine-beat, and
twelve-beat measures are also classified as compound measures.</p>
<div class="blockquot"><p>An English writer<SPAN name="FNanchor_23_23" id="FNanchor_23_23"></SPAN><SPAN href="#Footnote_23_23" class="fnanchor">[23]</SPAN> classifies measures as duple, triple, or
quadruple, specifying that a simple measure is one in which
each beat is represented by a note whose value can be divided
into halves (<ANTIMG src="images/simpmeas.jpg" width-obs="203" height-obs="30" alt="simple measure" title="simple measure" /> etc.) and that a compound measure
is one in which each beat is represented by a dotted-note,
whose value can be divided into three parts, (<ANTIMG src="images/compmeas.jpg" width-obs="257" height-obs="30" alt="compound measure" title="compound measure" />).
There is thus seen to be considerable difference of opinion as
to the meaning of the words <i>simple</i> and <i>compound</i> when
applied in this connection, the principal question at issue
being whether four-beat measure is an individual variety, or
whether it is a variety compounded out of two-beat measures,
either by placing two of these in a group or by the
elaboration of a single measure into a larger number of beats,
as is often necessary in slow tempi. Perhaps the easiest way
out of the difficulty is to admit that both may be true—but
in different compositions. That is, it is frequently
impossible to tell whether a composition that is being
listened to is in two-beat, or in four-beat measure; and yet
it <i>is</i> sometimes possible so to discriminate. Since, however,
one cannot in the majority of cases distinguish between
two-beat and four-beat measures, it will probably be best to
leave the original classification intact and regard four-beat
measure as a compound variety.</p>
</div>
<p><span class="pagenum"><SPAN name="Page_46" id="Page_46"></SPAN></span></p>
<p>100. The <i>commonest varieties of measure</i> are:</p>
<div class="blockquot"><p>1. <i>Duple</i> (sometimes called even measure, or even time), in
which there are two beats, the first one being accented.
Examples of duple measure are 2/4, 2/8, 2/2, two-quarter,<SPAN name="FNanchor_24_24" id="FNanchor_24_24"></SPAN><SPAN href="#Footnote_24_24" class="fnanchor">[24]</SPAN>
two-eighth, and two-half measure, respectively.</p>
<p>2. <i>Triple</i>, (the old perfect measure), in which there are
three beats, the first one being accented, the second and
third unaccented. Examples are 3/8, 3/4, 3/2, three-eighth,
three-quarter, and three-half measure, respectively.</p>
<p>3. <i>Quadruple</i>, in which there are four beats, the first and
third being accented (primary accent on <i>one</i>, secondary
accent on <i>three</i>), the second and fourth unaccented. (See
note above, under <SPAN href="#SEC_99">Sec. 99</SPAN>.)</p>
<p>4. <i>Sextuple</i>, in which there are six beats, the first and
fourth being accented, the others not. In rapid tempi this is
always taken as compound duple measure, a dotted quarter note
having a beat. It will be noted that the two measures
<ANTIMG src="images/sextuple.jpg" width-obs="229" height-obs="35" alt="sextuple" title="sextuple" /> are identical in effect with
<ANTIMG src="images/sextuple2.jpg" width-obs="224" height-obs="50" alt="sextuple" title="sextuple" />.</p>
</div>
<p>101. Other varieties of measure sometimes found are 9/8 and 12/8, but
these are practically always taken as three-beat and four-beat measures
respectively, being equivalent to these if each group of three tones is
thought of as a triplet.
<ANTIMG src="images/98bar.jpg" width-obs="173" height-obs="39" alt="9/8 bar" title="9/8 bar" /> is identical in effect with
<ANTIMG src="images/34bar.jpg" width-obs="165" height-obs="50" alt="3/4 bar" title="3/4 bar" />.</p>
<p>102. <i>Quintuple</i> (five-beat) and <i>septuple</i> (seven-beat) measures are
occasionally met with, but these are rare and will always be sporadic.
The five-beat measure is taken as a combination of three and two, or of
two and three (sometimes a mixture of both in the same composition),
while the<span class="pagenum"><SPAN name="Page_47" id="Page_47"></SPAN></span> seven-beat measure is taken in groups of four and three, or
of three and four.</p>
<p>103. The sign <ANTIMG src="images/common.jpg" width-obs="22" height-obs="24" alt="common time" title="common time" /> is usually understood to mean
four-quarter measure, and the sign
<ANTIMG src="images/cuttime.jpg" width-obs="20" height-obs="29" alt="cut-time" title="cut-time" />, two-half measure,
but usage varies somewhat, and the second sign is sometimes used to
indicate four-half measure. It may safely be said however that the sign
<ANTIMG src="images/cuttime.jpg" width-obs="20" height-obs="29" alt="cut-time" title="cut-time" /> always indicates
that a half-note has a beat. <ANTIMG src="images/cuttime.jpg" width-obs="20" height-obs="29" alt="cut-time" title="cut-time" /><ANTIMG src="images/cuttime.jpg" width-obs="20" height-obs="29" alt="cut-time" title="cut-time" /> may occasionally be found indicating four-half measure
but this is rare.</p>
<div class="blockquot"><p>The student will note that the sign
<ANTIMG src="images/common.jpg" width-obs="22" height-obs="24" alt="common time" title="common time" /> is
not a <i>letter</i> C, but an incomplete circle, differentiating
two-beat (imperfect) measure from three-beat (perfect)
measure. See <SPAN href="#APPENDIX_A">Appendix A</SPAN>, p.
<span lang="el" title="Transcriber's Note: supplied missing page number"><SPAN href="#Page_106">106</SPAN></span>.</p>
</div>
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<p><span class="pagenum"><SPAN name="Page_48" id="Page_48"></SPAN></span></p>
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