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<div class="refentry" title="GEN51">
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<h2>
<span class="refentrytitle">GEN51</span>
</h2>
<p>GEN51 —
This subroutine fills a table with a fully customized micro-tuning scale, in the manner of Csound opcodes <span class="emphasis"><em>cpstun</em></span>, <span class="emphasis"><em>cpstuni</em></span> and <span class="emphasis"><em>cpstmid</em></span>.
</p>
</div>
<div class="refsect1" title="Description">
<a id="idp78385984"></a>
<h2>Description</h2>
<p>
This subroutine fills a table with a fully customized micro-tuning
scale, in the manner of Csound opcodes <a class="link" href="cpstun.html" title="cpstun"><em class="citetitle">cpstun</em></a>,
<a class="link" href="cpstuni.html" title="cpstuni"><em class="citetitle">cpstuni</em></a> et
<a class="link" href="cpstmid.html" title="cpstmid"><em class="citetitle">cpstmid</em></a>.
</p>
</div>
<div class="refsect1" title="Syntax">
<a id="idp78374080"></a>
<h2>Syntax</h2>
<pre class="synopsis"><span class="command"><strong>f</strong></span> # time size -51 numgrades interval basefreq basekey tuningRatio1 tuningRatio2 .... tuningRationN</pre>
</div>
<div class="refsect1" title="Performance">
<a id="idp78500272"></a>
<h2>Performance</h2>
<p>
The first four parameters (i.e. p5, p6, p7 and p8) define the following
generation directives:</p>
<p>
<span class="emphasis"><em>p5 (numgrades)</em></span>
-- the number of grades of the micro-tuning scale
</p>
<p>
<span class="emphasis"><em>p6 (interval)</em></span>
-- the frequency range covered before repeating the grade
ratios, for example 2 for one octave, 1.5 for a fifth etcetera
</p>
<p>
<span class="emphasis"><em>p7 (basefreq)</em></span>
-- the base frequency of the scale in cps
</p>
<p>
<span class="emphasis"><em>p8 (basekey)</em></span>
-- the integer index of the scale to which to assign basefreq unmodified
</p>
<p>
The other parameters define the ratios of the scale:
</p>
<p>
<span class="emphasis"><em>p9...pN (tuningRatio1...etc.)</em></span>
-- the tuning ratios of the scale
</p>
<p>
For example, for a standard 12-grade scale with the base-frequency of
261 cps assigned to the key-number 60, the corresponding f-statement in
the score to generate the table should be:</p>
<pre class="programlisting">
<span class="comment">; numgrades basefreq tuning-ratios (eq.temp) .......</span>
<span class="comment">; interval basekey</span>
<span class="stamnt">f</span>1 0 64 -51 12 2 261 60 1 1.059463 1.12246 1.18920 ..etc...</pre>
<p>
After the gen has been processed, the table f1 is filled with 64
different frequency values. The 60th element is filled with the
frequency value of 261, and all other elements (preceding and
subsequents) of the table are filled according to the tuning ratios
</p>
<p>
Another example with a 24-grade scale with a base frequency of 440
assigned to the key-number 48, and a repetition interval of 1.5:</p>
<pre class="programlisting">
<span class="comment">; numgrades basefreq tuning-ratios .....</span>
<span class="comment">; interval basekey</span>
<span class="stamnt">f</span>1 0 64 -51 24 1.5 440 48 1 1.01 1.02 1.03 ..etc...</pre>
</div>
<div class="refsect1" title="Examples">
<a id="idp78508016"></a>
<h2>Examples</h2>
<p>
Here is an example of the GEN51 routine. It uses the files <a class="ulink" href="examples/gen51.csd" target="_top"><em class="citetitle">gen51.csd</em></a>.
</p>
<div class="example">
<a id="idp78508984"></a>
<p class="title">
<strong>Example 1071. An example of the GEN51 routine.</strong>
</p>
<div class="example-contents">
<pre class="programlisting">
<span class="csdtag"><CsoundSynthesizer></span>
<span class="csdtag"><CsOptions></span>
<span class="comment">; Select audio/midi flags here according to platform </span>
-odac -M0 <span class="comment">;;;realtime audio out and midi input</span>
<span class="comment">;-iadc ;;;uncomment -iadc if realtime audio input is needed too </span>
<span class="comment">; For Non-realtime ouput leave only the line below: </span>
<span class="comment">; -o gen51.wav -W ;;; for file output any platform </span>
<span class="csdtag"></CsOptions></span>
<span class="csdtag"><CsInstruments></span>
<span class="comment">;example by Iain McCurdy</span>
<span class="ohdr">sr</span> <span class="op">=</span> 44100
<span class="ohdr">ksmps</span> <span class="op">=</span> 32
<span class="ohdr">nchnls</span> <span class="op">=</span> 2
<span class="ohdr">0dbfs</span> <span class="op">=</span> 1
giEqTmp12 <span class="ohdr">ftgen</span> 1,0,128,<span class="op">-</span>51,12,2,cpsoct(8),60,1,2^(1<span class="op">/</span>12),2^(2<span class="op">/</span>12),2^(3<span class="op">/</span>12),2^(4<span class="op">/</span>12),2^(5<span class="op">/</span>12),2^(6<span class="op">/</span>12),2^(7<span class="op">/</span>12),2^(8<span class="op">/</span>12),2^(9<span class="op">/</span>12),2^(10<span class="op">/</span>12),2^(11<span class="op">/</span>12),2^(12<span class="op">/</span>12)
giEqTmp10 <span class="ohdr">ftgen</span> 2,0,128,<span class="op">-</span>51,10,2,cpsoct(8),60,1,2^(1<span class="op">/</span>10),2^(2<span class="op">/</span>10),2^(3<span class="op">/</span>10),2^(4<span class="op">/</span>10),2^(5<span class="op">/</span>10),2^(6<span class="op">/</span>10),2^(7<span class="op">/</span>10),2^(8<span class="op">/</span>10),2^(9<span class="op">/</span>10),2^(10<span class="op">/</span>10)
giEqTmp24 <span class="ohdr">ftgen</span> 3,0,128,<span class="op">-</span>51,24,2,cpsoct(8),60,1,2^(1<span class="op">/</span>24),2^(2<span class="op">/</span>24),2^(3<span class="op">/</span>24),2^(4<span class="op">/</span>24),2^(5<span class="op">/</span>24),2^(6<span class="op">/</span>24),2^(7<span class="op">/</span>24),2^(8<span class="op">/</span>24),2^(9<span class="op">/</span>24),2^(10<span class="op">/</span>24),2^(11<span class="op">/</span>24), \ 2^(12<span class="op">/</span>24),2^(13<span class="op">/</span>24),2^(14<span class="op">/</span>24),2^(15<span class="op">/</span>24),2^(16<span class="op">/</span>24),2^(17<span class="op">/</span>24),2^(18<span class="op">/</span>24),2^(19<span class="op">/</span>24),2^(20<span class="op">/</span>24),2^(21<span class="op">/</span>24),2^(22<span class="op">/</span>24),2^(23<span class="op">/</span>24),2^(24<span class="op">/</span>24)
<span class="oblock">instr</span> 1 <span class="comment">;midi input instrument</span>
<span class="op">/</span><span class="op">*</span>USE PITCH BEND TO MODULATE NOTE NUMBER UP OR DOWN ONE STEP <span class="op">-</span> ACTUAL INTERVAL IT WILL MODULATE BY WILL BE DEPENDENT UPON THE GEN51 SCALE USED<span class="op">*</span><span class="op">/</span>
<span class="comment">;kbend pchbend 0,2</span>
<span class="op">/</span><span class="op">*</span>ALTERNATIVELY IF USING VIRTUAL MIDI DEVICE OR A KEYBOARD WITH NO PITCH BEND WHEEL, USE CONTROLLERS 1 AND 2 TO MODULATE PITCH UP OR DOWN 1 STEP<span class="op">*</span><span class="op">/</span>
kup <span class="opc">ctrl7</span> 1, 1, 0, 1
kdown <span class="opc">ctrl7</span> 1, 2, 0, <span class="op">-</span>1
kbend <span class="op">=</span> kup<span class="op">+</span>kdown
inum <span class="opc">notnum</span>
kcps <span class="opc">tablei</span> inum<span class="op">+</span>kbend, giEqTmp24 <span class="comment">;read cps values from GEN51, scale table using a combination of note played and pitch bend/controllers 1 and 2</span>
a1 <span class="opc">vco2</span> 0.2, kcps, 4, 0.5
<span class="opc">outs</span> a1, a1
<span class="oblock">endin</span>
<span class="oblock">instr</span> 2 <span class="comment">;score input instrument</span>
knum <span class="opc">line</span> p4, p3, p5 <span class="comment">;gliss using a straight line bewteen p4 and p5 for the entire note duration</span>
kcps <span class="opc">tablei</span> knum, giEqTmp24 <span class="comment">;read cps values from GEN51 scale table</span>
a1 <span class="opc">vco2</span> 0.2, kcps, 4, 0.5
<span class="opc">outs</span> a1, a1
<span class="oblock">endin</span>
<span class="csdtag"></CsInstruments></span>
<span class="csdtag"><CsScore></span>
<span class="stamnt">f</span> 0 3600
<span class="comment">;instr 2. Score input. Gliss from step number p4 to step number p5</span>
<span class="comment">;p4 - starting note number</span>
<span class="comment">;p5 - ending note number</span>
<span class="stamnt">i</span> 2 0 2 60 61
<span class="stamnt">i</span> 2 + 2 70 58
<span class="stamnt">i</span> 2 + 2 66 66.5
<span class="stamnt">i</span> 2 + 2 71.25 71
<span class="stamnt">e</span>
<span class="csdtag"></CsScore></span>
<span class="csdtag"></CsoundSynthesizer></span>
</pre>
</div>
</div>
<p><br class="example-break" />
<span>These are the diagrams of the waveforms of the GEN51 routines, as used in the example:</span>
</p>
<div class="mediaobject">
<img src="images/gen51_1.png" alt="f 1 0 128 -51 12 2 cpsoct(8) 60 1 2^(1/12) 2^(2/12) 2^(3/12) 2^(4/12) 2^(5/12) 2^(6/12) 2^(7/12) 2^(8/12) 2^(9/12) 2^(10/12) 2^(11/12) 2^(12/12)" />
<div class="caption">
<p>f 1 0 128 -51 12 2 cpsoct(8) 60 1 2^(1/12) 2^(2/12) 2^(3/12) 2^(4/12) 2^(5/12) 2^(6/12) 2^(7/12) 2^(8/12) 2^(9/12) 2^(10/12) 2^(11/12) 2^(12/12)</p>
</div>
</div>
<p>
</p>
<div class="mediaobject">
<img src="images/gen51_2.png" alt="f 2 0 128 -51 10 2 cpsoct(8) 60 1 2^(1/10) 2^(2/10) 2^(3/10) 2^(4/10) 2^(5/10) 2^(6/10) 2^(7/10) 2^(8/10) 2^(9/10) 2^(10/10)" />
<div class="caption">
<p>f 2 0 128 -51 10 2 cpsoct(8) 60 1 2^(1/10) 2^(2/10) 2^(3/10) 2^(4/10) 2^(5/10) 2^(6/10) 2^(7/10) 2^(8/10) 2^(9/10) 2^(10/10)</p>
</div>
</div>
<p>
</p>
<div class="mediaobject">
<img src="images/gen51_3.png" alt="f 3 0 128 -51 24 2 cpsoct(8) 60 1 2^(1/24) 2^(2/24) 2^(3/24) 2^(4/24) 2^(5/24) 2^(6/24) 2^(7/24) 2^(8/24) 2^(9/24) 2^(10/24) 2^(11/24) 2^(12/24) 2^(13/24) 2^(14/24) 2^(15/24) 2^(16/24) 2^(17/24) 2^(18/24) 2^(19/24) 2^(20/24) 2^(21/24) 2^(22/24) 2^(23/24) 2^(24/24)" />
<div class="caption">
<p>f 3 0 128 -51 24 2 cpsoct(8) 60 1 2^(1/24) 2^(2/24) 2^(3/24) 2^(4/24) 2^(5/24) 2^(6/24) 2^(7/24) 2^(8/24) 2^(9/24) 2^(10/24) 2^(11/24) 2^(12/24) 2^(13/24) 2^(14/24) 2^(15/24) 2^(16/24) 2^(17/24) 2^(18/24) 2^(19/24) 2^(20/24) 2^(21/24) 2^(22/24) 2^(23/24) 2^(24/24)</p>
</div>
</div>
<p>
</p>
</div>
<div class="refsect1" title="Credits">
<a id="idp78516200"></a>
<h2>Credits</h2>
<p>Author: Gabriel Maldonado</p>
</div>
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