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<p>
<a name="Music-expressions-explained"></a>
Next:&nbsp;<a rel="next" accesskey="n" href="Multiple-staves.html#Multiple-staves">Multiple staves</a>,
Up:&nbsp;<a rel="up" accesskey="u" href="Multiple-notes-at-once.html#Multiple-notes-at-once">Multiple notes at once</a>
<hr>
</div>

<h4 class="subsection">2.3.1 Music expressions explained</h4>

<p>In LilyPond input files, music is represented by <em>music
expressions</em>.  A single note is a music expression:

   <blockquote>
<pre class="verbatim">     
     a4
</pre>
     <p>
 <a href="../15/lily-fe8e1128.ly">
  <img align="middle"
    border="0" src="../15/lily-fe8e1128.png" alt="[image of music]">
 </a>
</p>

   </blockquote>

   <p>Enclosing a note in braces creates a <em>compound music
expression</em>.  Here we have created a compound music expression
with two notes:

   <blockquote>
<pre class="verbatim">     
     { a4 g4 }
</pre>
     <p>
 <a href="../1e/lily-5288cf98.ly">
  <img align="middle"
    border="0" src="../1e/lily-5288cf98.png" alt="[image of music]">
 </a>
</p>

   </blockquote>

   <p>Putting a group of music expressions (e.g. notes) in braces means
that they are in sequence (i.e. each one follows the previous
one).  The result is another music expression:

   <blockquote>
<pre class="verbatim">     
     { { a4 g } f g }
</pre>
     <p>
 <a href="../fc/lily-1d75096e.ly">
  <img align="middle"
    border="0" src="../fc/lily-1d75096e.png" alt="[image of music]">
 </a>
</p>

   </blockquote>

   <p><a name="index-expression-142"></a><a name="index-music-expression-143"></a>

<h4 class="subheading">Analogy: mathematical expressions</h4>

<p>This mechanism is similar to mathematical formulas: a big formula
is created by composing small formulas.  Such formulas are called
expressions, and they can contain other expressions, so you can
make arbitrarily complex and large expressions.  For example,

<pre class="example">1

1 + 2

(1 + 2) * 3

((1 + 2) * 3) / (4 * 5)
</pre>
   <p>This is a sequence of expressions, where each expression is
contained in the next (larger) one.  The simplest expressions are
numbers, and larger ones are made by combining expressions with
operators (like <code>+</code>, <code>*</code> and <code>/</code>) and parentheses. 
Like mathematical expressions, music expressions can be nested
arbitrarily deep, which is necessary for complex music like
polyphonic scores.

<h4 class="subheading">Simultaneous music expressions: multiple staves</h4>

<p>Music Glossary: <a name="index-polyphony-144"></a><a href="../music-glossary/polyphony.html#polyphony">polyphony</a>.

   <p>This technique is useful for <var>polyphonic</var> music.  To
enter music with more voices or more staves, we combine
expressions in parallel.  To indicate that two voices should play
at the same time, simply enter a simultaneous combination of music
expressions.  A &lsquo;simultaneous&rsquo; music expression is formed by
enclosing expressions inside <code>&lt;&lt;</code> and <code>&gt;&gt;</code>.  In the
following example, three sequences (all containing two separate
notes) are combined simultaneously:

   <blockquote>
<pre class="verbatim">     
     \relative c'' {
       &lt;&lt;
         { a4 g }
         { f e }
         { d b }
       >>
     }
</pre>
     <p>
 <a href="../ac/lily-f9676f78.ly">
  <img align="middle"
    border="0" src="../ac/lily-f9676f78.png" alt="[image of music]">
 </a>
</p>

   </blockquote>

   <p>Note that we have indented each level of the input with a
different amount of space.  LilyPond does not care how much (or
little) space there is at the beginning of a line, but indenting
LilyPond code like this makes it much easier for humans to read.

   <p><table class="cartouche" summary="cartouche" border="1"><tr><td>
<b>Note:</b> each note is relative to the previous note in
the input, not relative to the <code>c''</code> in the initial
<code>\relative</code> command. 
</td></tr></table>

<h4 class="subheading">Simultaneous music expressions: single staff</h4>

<p>To determine the number of staves in a piece, LilyPond looks at
the beginning of the first expression.  If is a single note, there
is one staff; if there is a simultaneous expression, there is more
than one staff.

   <blockquote>
<pre class="verbatim">     
     \relative c'' {
       c2 &lt;&lt;c e>>
       &lt;&lt; { e f } { c &lt;&lt;b d>> } >>
     }
</pre>
     <p>
 <a href="../dd/lily-b108ef09.ly">
  <img align="middle"
    border="0" src="../dd/lily-b108ef09.png" alt="[image of music]">
 </a>
</p>

   </blockquote>

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