<h2><SPAN name="CHAPTER_XVII" id="CHAPTER_XVII"></SPAN>CHAPTER XVII</h2>
<h2><span class="smcap">Rhythm, Melody, Harmony and Intervals</span></h2>
<p>178. The <i>four elements</i> commonly attributed to music (in the order of
their development) are: Rhythm, Melody, Harmony, and Timbre (or
tone-color).</p>
<p>179. <i>Rhythm</i> is the regular recurrence of accent. In music it is more
specifically the regular recurrence of groups of accented and
non-accented beats (or pulses)—according to some specified
measure-system. Since rhythm implies continuity, there must usually be
at least two such measure groups in order to make musical rhythm
possible. (See <SPAN href="#Page_44"></SPAN>, <SPAN href="#SEC_97">Sec. 97</SPAN>.)</p>
<p>180. A <i>melody</i> is a succession of single tones of various pitches so
arranged that the effect of the whole will be unified, coherent, and
pleasing to the ear.</p>
<div class="blockquot"><p>The soprano part of hymn-tunes and other simple harmonized
compositions is often referred to as "the melody."</p>
</div>
<p>181. <i>Harmony</i> is the science of chord construction and combination.</p>
<div class="blockquot"><p>The term <i>harmony</i> refers to tones sounding simultaneously,
<i>i.e.</i>, to <i>chords</i>, as differentiated from tones sounding
consecutively, as in melody. The word <i>harmony</i> may therefore
be applied to any group of tones of different pitches sounded
as a chord, although specifically we usually refer to a
<i>succession</i> of such chords when we speak of "harmony." It is
possible to use the same combination of tones in either melody
or harmony; in fact these two elements as applied to modern
music have developed together and the style of present-day
melody is directly based upon the development that has
recently taken place in harmonic construction.</p>
<p><i>Harmony</i> (as contrasted with <i>counterpoint</i>) first began to
be an important factor in music about 1600 A.D., <i>i.e.</i>, at
the time when opera and oratorio came into existence, when
form was established, and when our modern major and minor
scales were adopted. Before this practically all music was
composed on a contrapuntal basis.</p>
</div>
<p>182. <i>Timbre</i> is that peculiar quality of sound which enables one to
distinguish a tone produced by one instrument (or<span class="pagenum"><SPAN name="Page_83" id="Page_83"></SPAN></span> voice) from a tone
produced by an equal number of vibrations on another instrument.</p>
<div class="blockquot"><p>The word <i>timbre</i> is synonymous with the terms <i>quality of
tone</i>, and <i>tone quality</i> (Ger.—Klang-farbe), the excuse for
using it being that it expresses adequately in one word an
idea that in our language takes at least two: this excuse
would disappear (and incidentally a much-mispronounced word
would be eliminated) if the single word <i>quality</i> were to be
adopted as the equivalent of <i>timbre</i>. Thus, <i>e.g.</i>, the
soprano voice singing c' has a <i>quality</i> different from the
contralto voice singing the same tone.</p>
<p>(The remainder of this chapter and all of <SPAN href="#CHAPTER_XVIII">Chapter XVIII</SPAN> deal
with terms commonly encountered in the study of <i>harmony</i>.
Courses in this subject usually begin with a study of scales,
but since this subject has already been somewhat extensively
treated, this chapter will omit it, and will begin with the
next topic in harmony study, viz.—the interval.)</p>
</div>
<p>183. An <i>interval</i> is the relation of two tones with regard to pitch. If
the two tones are sounded simultaneously the result is an <i>harmonic
interval</i>, but if sounded consecutively the result is a <i>melodic
interval</i>. Fig. 62 represents the pitches f' and a' as a harmonic
interval, while Fig. 63 represents the same pitches arranged as a
melodic interval.</p>
<p style="text-align: center"> </p>
<p style="text-align: center">
<ANTIMG src="images/fig62-63.jpg" width-obs="325" height-obs="81" alt="Figs. 62-63" title="Figs. 62-63" /></p>
<p style="text-align: center"><SPAN href="music/fig62-63.mid">[Listen]</SPAN></p>
<p style="text-align: center"> </p>
<p>184. In classifying intervals two facts should be constantly kept in
mind:</p>
<div class="blockquot"><p>(1) The <i>number name</i> of the interval (third, fifth, sixth,
etc.), is derived from the order of letters as found in the
diatonic scale. Thus the interval C—E is a <i>third</i> because E
is the third tone from C (counting C as one) in the diatonic
scale. C—G is a <i>fifth</i> because G is the fifth tone above C
in the diatonic scale.</p>
<p>It should be noted however that the same <i>number-names</i> apply
even though one or both letters of the interval are qualified
by sharps, flats, etc. Thus <i>e.g.</i>, C—G<span lang="el" title="sharp">♯</span> is still a
<i>fifth</i>, as are also C<span lang="el" title="sharp">♯</span>—G<span lang="el" title="flat">♭</span> and C<span lang="el" title="flat">♭</span>—G<span lang="el" title="sharp">♯</span>.</p>
<p>(2) In determining the <i>specific</i> name of any interval
(<i>perfect</i> fifth, <i>major</i> third, etc.), the half-step and
whole-step (often referred to respectively as <i>minor</i><span class="pagenum"><SPAN name="Page_84" id="Page_84"></SPAN></span> <i>second</i>,
and <i>major second</i>) are used as units of measurement.</p>
<p>The <i>half-step</i> is usually defined as "the smallest usable
interval between two tones." Thus, C—C<span lang="el" title="sharp">♯</span> is a
<i>half-step</i>, as are also B—C, F—G<span lang="el" title="flat">♭</span>, etc.</p>
<p>A <i>whole-step</i> consists of two half-steps. C—D is a
<i>whole-step</i>, as are also B<span lang="el" title="flat">♭</span>—C, E—F<span lang="el" title="sharp">♯</span>,
F<span lang="el" title="sharp">♯</span>—G<span lang="el" title="sharp">♯</span>, G<span lang="el" title="flat">♭</span>—A<span lang="el" title="flat">♭</span>, etc.</p>
<p>The expressions <i>half-step</i> and <i>whole-step</i> are much to be
preferred to <i>half-tone</i> and <i>whole-tone</i>, as being more clear
and definite. Thus <i>e.g.</i>, the sentence "The two tones are a
<i>half-step</i> apart" is much better than "The two tones are a
<i>half-tone</i> apart."</p>
</div>
<p>185. A <i>prime</i> is the relation between two tones whose pitches are
properly represented by the same degree of the staff.</p>
<div class="blockquot"><p>A <i>perfect prime</i> is one whose tones have the same pitch.
Middle C sounded by piano and violin at the same time would
offer an example.</p>
<p>An <i>augmented prime</i> is one whose second tone is one half-step
higher than the first. Ex. C—C<span lang="el" title="sharp">♯</span>.</p>
</div>
<p>186. A <i>second</i> is the relation between two tones whose pitches are
properly represented by adjacent degrees of the staff. (The first line
and first space are adjacent degrees, as are also the third line and
fourth space.)</p>
<div class="blockquot"><p>A <i>minor second</i> is one comprising one half-step. Ex. B—C.</p>
<p>A <i>major second</i> is one comprising two half-steps. Ex.
B—C<span lang="el" title="sharp">♯</span>.</p>
<p>An <i>augmented second</i> is one comprising three half-steps. Ex.
F—G<span lang="el" title="sharp">♯</span>.</p>
</div>
<p>187. A <i>third</i> is an interval comprising two seconds.</p>
<div class="blockquot"><p>A <i>diminished third</i> has two minor seconds (<i>i.e.</i>, two
half-steps). C—E<span lang="el" title="double-flat">♭♭</span>.</p>
<p>A <i>minor third</i> has one minor and one major second (<i>i.e.</i>,
three half-steps). C—E<span lang="el" title="flat">♭</span>.</p>
<p>A <i>major third</i> has two major seconds (<i>i.e.</i>, four
half-steps). C—E.</p>
</div>
<p>188. <i>A fourth</i> is an interval comprising three seconds.<span class="pagenum"><SPAN name="Page_85" id="Page_85"></SPAN></span></p>
<div class="blockquot"><p>A <i>diminished fourth</i> has two minor and one major second.
C<span lang="el" title="sharp">♯</span>—F.</p>
<p>A <i>perfect fourth</i> has one minor and two major seconds. C—F.</p>
<p>An <i>augmented fourth</i> (tritone) has three major seconds.
C—F<span lang="el" title="sharp">♯</span>.</p>
</div>
<p>189. A <i>fifth</i> is an interval comprising four seconds.</p>
<div class="blockquot"><p>A <i>diminished fifth</i> has two minor and two major seconds.
C—G<span lang="el" title="flat">♭</span>.</p>
<p>A <i>perfect fifth</i> has one minor and three major seconds. C—G.</p>
<p>An <i>augmented fifth</i> has four major seconds. C—G<span lang="el" title="sharp">♯</span>.</p>
</div>
<p>190. A <i>sixth</i> is an interval comprising five seconds.</p>
<div class="blockquot"><p>A <i>minor sixth</i> has two minor and three major seconds.
C—A<span lang="el" title="flat">♭</span>.</p>
<p>A <i>major sixth</i> has one minor and four major seconds. C—A.</p>
<p>An <i>augmented sixth</i> has five major seconds. C—A<span lang="el" title="sharp">♯</span>.</p>
</div>
<p>191. A <i>seventh</i> is an interval comprising six seconds.</p>
<div class="blockquot"><p>A <i>diminished seventh</i> has three minor and three major
seconds. C—B<span lang="el" title="double-flat">♭♭</span>.</p>
<p>A <i>minor seventh</i> has two minor and four major seconds.
C—B<span lang="el" title="flat">♭</span>.</p>
<p>A <i>major seventh</i> has one minor and five major seconds. C—B.</p>
</div>
<p>192. An <i>octave</i> is an interval comprising seven seconds.</p>
<div class="blockquot"><p>A <i>diminished octave</i> has three minor and four major seconds.
C—C<span lang="el" title="flat">♭</span>.</p>
<p><i>A perfect octave</i> has two minor and five major seconds. C—C.</p>
<p>An <i>augmented octave</i> has one minor and six major seconds.
C—C<span lang="el" title="sharp">♯</span>.</p>
</div>
<p>193. A <i>ninth</i> is usually treated as a second, a <i>tenth</i> as a third,
etc. The interval of two octaves is often referred to as a <i>fifteenth</i>.<span class="pagenum"><SPAN name="Page_86" id="Page_86"></SPAN></span></p>
<p>194. If the major diatonic scale be written and the interval between
each tone and the key-tone noted, it will be observed that the intervals
are all either major or perfect. See Fig. 64.</p>
<p style="text-align: center"> </p>
<p style="text-align: center">
<ANTIMG src="images/fig64.jpg" width-obs="650" height-obs="145" alt="Fig. 64" title="Fig. 64" /></p>
<p style="text-align: center"><SPAN href="music/fig64.mid">[Listen]</SPAN></p>
<p style="text-align: center"> </p>
<p>In this connection also it will be noted that the interval next smaller
than <i>major</i> is always <i>minor</i>, while that next smaller than <i>perfect</i>
or <i>minor</i> is always <i>diminished</i>: but that the interval next larger
than both <i>major</i> and <i>perfect</i> is <i>augmented</i>.</p>
<p>195. An interval is said to be <i>inverted</i> when the tone originally the
upper becomes the lower. Thus C—E, a major third, inverted becomes
E—C, a minor sixth.</p>
<hr style="width: 65%;" />
<p><span class="pagenum"><SPAN name="Page_87" id="Page_87"></SPAN></span></p>
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