Creating Scala scl files for rank two temperaments: Difference between revisions
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The first step for creating a scl file for your temperament is assembling the required tuning data. A good place to find that out are [[Graham Breed]]'s [[http://x31eq.com/temper/|temperament finder pages]], which can be found by clicking the link. | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The first step for creating a scl file for your temperament is assembling the required tuning data. A good place to find that out are [[Graham Breed]]'s [[http://x31eq.com/temper/|temperament finder pages]], which can be found by clicking the link. | ||
For instance, taking the [[http://x31eq.com/temper/net.html|temperament finder from ETs]] page, put in two (it must be two, for a rank two temperament) integers representing equal divisions of the octave in the top box, and the prime limit you want in the bottom box. For instance, for pajara temperament, we might put in 12 and 22 in the "list of steps to the octave" box, and if 7-limit will suffice, we put 7 in the "limit" box. This brings up a new page with various kinds of information on it. In the "Generator Tunings (cents)" box, we find two numbers, in this case 598.859 and 106.844. The first number is the period, and the second number is the generator. If you want to use a slightly compressed octave for your tuning, these are the numbers you will need. Otherwise, go to where it say "Reduced Mapping", and look at the top row; in this case it will be [<2 3 5 6]. Take the first number, in this case 2. This is the number of periods in an octave, call it "n". If "P" is the first number, in the "Generator Tunings (cents)" box, the period, and "G" is the second number, the generator, then instead of P and G you may use 1200.0/n and (1200.0G/nP) for the period and generator, which will give pure | For instance, taking the [[http://x31eq.com/temper/net.html|temperament finder from ETs]] page, put in two (it must be two, for a rank two temperament) integers representing equal divisions of the octave in the top box, and the prime limit you want in the bottom box. For instance, for pajara temperament, we might put in 12 and 22 in the "list of steps to the octave" box, and if [[7-limit]] will suffice, we put 7 in the "limit" box. This brings up a new page with various kinds of information on it. In the "Generator Tunings (cents)" box, we find two numbers, in this case 598.859 and 106.844. The first number is the period, and the second number is the generator. If you want to use a slightly compressed octave for your tuning, these are the numbers you will need. Otherwise, go to where it say "Reduced Mapping", and look at the top row; in this case it will be [<2 3 5 6]. Take the first number, in this case 2. This is the number of periods in an octave, call it "n". If "P" is the first number, in the "Generator Tunings (cents)" box, the period, and "G" is the second number, the [[generator]], then instead of P and G you may use 1200.0/n and (1200.0G/nP) for the period and generator, which will give pure [[octave]]s. In this case, we get 600.0 for the period and 107.48 for the generator. | ||
You can also start from the [[http://x31eq.com/temper/uv.html|unison vector search]] page. In this case, you get a box telling you to put your commas in the box. For a rank two temperament with a prime limit containing n primes, you need to put in n-2 commas. For instance, in the 7-limit there are four primes, 2, 3, 5, and 7. Putting in 4-2=2 7-limit commas will work: for instance putting in 50/49 and 64/63 and scrolling down to rank two temperaments we see pajara again. | You can also start from the [[http://x31eq.com/temper/uv.html|unison vector search]] page. In this case, you get a box telling you to put your [[commas]] in the box. For a [[rank two temperament]] with a [[prime limit]] containing n primes, you need to put in n-2 commas. For instance, in the 7-limit there are four primes, 2, 3, 5, and 7. Putting in 4-2=2 7-limit commas will work: for instance putting in 50/49 and 64/63 and scrolling down to rank two temperaments we see pajara again. | ||
Another starting point, of course, is this wiki. In an article on the temperament, find the POTE generator listing; you may use that. You also can look at [[edo]] tunings; in N-edo you may find g\N as a generator tuning, meaning g steps of N-edo, or the g/N fraction of an octave. | Another starting point, of course, is this wiki. In an article on the temperament, find the POTE generator listing; you may use that. You also can look at [[edo]] tunings; in N-edo you may find g\N as a generator tuning, meaning g steps of N-edo, or the g/N fraction of an octave. | ||
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Creating Scala scl files for rank two temperaments</title></head><body>The first step for creating a scl file for your temperament is assembling the required tuning data. A good place to find that out are <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a>'s <a class="wiki_link_ext" href="http://x31eq.com/temper/" rel="nofollow">temperament finder pages</a>, which can be found by clicking the link.<br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Creating Scala scl files for rank two temperaments</title></head><body>The first step for creating a scl file for your temperament is assembling the required tuning data. A good place to find that out are <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a>'s <a class="wiki_link_ext" href="http://x31eq.com/temper/" rel="nofollow">temperament finder pages</a>, which can be found by clicking the link.<br /> | ||
<br /> | <br /> | ||
For instance, taking the <a class="wiki_link_ext" href="http://x31eq.com/temper/net.html" rel="nofollow">temperament finder from ETs</a> page, put in two (it must be two, for a rank two temperament) integers representing equal divisions of the octave in the top box, and the prime limit you want in the bottom box. For instance, for pajara temperament, we might put in 12 and 22 in the &quot;list of steps to the octave&quot; box, and if 7-limit will suffice, we put 7 in the &quot;limit&quot; box. This brings up a new page with various kinds of information on it. In the &quot;Generator Tunings (cents)&quot; box, we find two numbers, in this case 598.859 and 106.844. The first number is the period, and the second number is the generator. If you want to use a slightly compressed octave for your tuning, these are the numbers you will need. Otherwise, go to where it say &quot;Reduced Mapping&quot;, and look at the top row; in this case it will be [&lt;2 3 5 6]. Take the first number, in this case 2. This is the number of periods in an octave, call it &quot;n&quot;. If &quot;P&quot; is the first number, in the &quot;Generator Tunings (cents)&quot; box, the period, and &quot;G&quot; is the second number, the generator, then instead of P and G you may use 1200.0/n and (1200.0G/nP) for the period and generator, which will give pure | For instance, taking the <a class="wiki_link_ext" href="http://x31eq.com/temper/net.html" rel="nofollow">temperament finder from ETs</a> page, put in two (it must be two, for a rank two temperament) integers representing equal divisions of the octave in the top box, and the prime limit you want in the bottom box. For instance, for pajara temperament, we might put in 12 and 22 in the &quot;list of steps to the octave&quot; box, and if <a class="wiki_link" href="/7-limit">7-limit</a> will suffice, we put 7 in the &quot;limit&quot; box. This brings up a new page with various kinds of information on it. In the &quot;Generator Tunings (cents)&quot; box, we find two numbers, in this case 598.859 and 106.844. The first number is the period, and the second number is the generator. If you want to use a slightly compressed octave for your tuning, these are the numbers you will need. Otherwise, go to where it say &quot;Reduced Mapping&quot;, and look at the top row; in this case it will be [&lt;2 3 5 6]. Take the first number, in this case 2. This is the number of periods in an octave, call it &quot;n&quot;. If &quot;P&quot; is the first number, in the &quot;Generator Tunings (cents)&quot; box, the period, and &quot;G&quot; is the second number, the <a class="wiki_link" href="/generator">generator</a>, then instead of P and G you may use 1200.0/n and (1200.0G/nP) for the period and generator, which will give pure <a class="wiki_link" href="/octave">octave</a>s. In this case, we get 600.0 for the period and 107.48 for the generator.<br /> | ||
<br /> | <br /> | ||
You can also start from the <a class="wiki_link_ext" href="http://x31eq.com/temper/uv.html" rel="nofollow">unison vector search</a> page. In this case, you get a box telling you to put your commas in the box. For a rank two temperament with a prime limit containing n primes, you need to put in n-2 commas. For instance, in the 7-limit there are four primes, 2, 3, 5, and 7. Putting in 4-2=2 7-limit commas will work: for instance putting in 50/49 and 64/63 and scrolling down to rank two temperaments we see pajara again.<br /> | You can also start from the <a class="wiki_link_ext" href="http://x31eq.com/temper/uv.html" rel="nofollow">unison vector search</a> page. In this case, you get a box telling you to put your <a class="wiki_link" href="/commas">commas</a> in the box. For a <a class="wiki_link" href="/rank%20two%20temperament">rank two temperament</a> with a <a class="wiki_link" href="/prime%20limit">prime limit</a> containing n primes, you need to put in n-2 commas. For instance, in the 7-limit there are four primes, 2, 3, 5, and 7. Putting in 4-2=2 7-limit commas will work: for instance putting in 50/49 and 64/63 and scrolling down to rank two temperaments we see pajara again.<br /> | ||
<br /> | <br /> | ||
Another starting point, of course, is this wiki. In an article on the temperament, find the POTE generator listing; you may use that. You also can look at <a class="wiki_link" href="/edo">edo</a> tunings; in N-edo you may find g\N as a generator tuning, meaning g steps of N-edo, or the g/N fraction of an octave.<br /> | Another starting point, of course, is this wiki. In an article on the temperament, find the POTE generator listing; you may use that. You also can look at <a class="wiki_link" href="/edo">edo</a> tunings; in N-edo you may find g\N as a generator tuning, meaning g steps of N-edo, or the g/N fraction of an octave.<br /> | ||
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see also<br /> | see also<br /> | ||
<ul><li><a class="wiki_link" href="/Scala">Scala</a> homepage: <!-- ws:start:WikiTextUrlRule: | <ul><li><a class="wiki_link" href="/Scala">Scala</a> homepage: <!-- ws:start:WikiTextUrlRule:39:http://www.huygens-fokker.org/scala/ --><a class="wiki_link_ext" href="http://www.huygens-fokker.org/scala/" rel="nofollow">http://www.huygens-fokker.org/scala/</a><!-- ws:end:WikiTextUrlRule:39 --></li><li>scl file format: <!-- ws:start:WikiTextUrlRule:40:http://www.huygens-fokker.org/scala/scl_format.html --><a class="wiki_link_ext" href="http://www.huygens-fokker.org/scala/scl_format.html" rel="nofollow">http://www.huygens-fokker.org/scala/scl_format.html</a><!-- ws:end:WikiTextUrlRule:40 --></li><li>scala help: <!-- ws:start:WikiTextUrlRule:41:http://www.huygens-fokker.org/scala/help.htm --><a class="wiki_link_ext" href="http://www.huygens-fokker.org/scala/help.htm" rel="nofollow">http://www.huygens-fokker.org/scala/help.htm</a><!-- ws:end:WikiTextUrlRule:41 --></li></ul></body></html></pre></div> | ||