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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | #REDIRECT [[Pergen]] |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-17 22:41:29 UTC</tt>.<br>
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| : The original revision id was <tt>621907371</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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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">**Pergen** (pronounced "peer-gen") names are a way of identifying rank-2 and rank-3 regular temperaments by their periods and generators. They are somewhat JI-agnostic in that they don't use higher primes. Rank-2 names only refer to the first two primes in the prime subgroup, and rank-3 names only refer to the first three primes.
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| The temperament created by tempering out 49/48 from the 2.3.7 subgroup is called semaphore, which is a play on words, as two generators equals a 4/3, and one generator is a "semi-fourth". Pergen names extend this practice to all temperaments, with the addition of "half-octave" or "quarter-octave" to indicate
| | See [[Pergen]]. |
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| If a rank-2 temperament uses the primes 2 and 3 in its comma(s), then the period can be expressed as the octave 2/1, or some fraction of an octave. The generator can be expressed as a 3-limit interval, or some fraction of one.
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| of the form 1/N</pre></div>
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| <h4>Original HTML content:</h4>
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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>pergen names</title></head><body><strong>Pergen</strong> (pronounced &quot;peer-gen&quot;) names are a way of identifying rank-2 and rank-3 regular temperaments by their periods and generators. They are somewhat JI-agnostic in that they don't use higher primes. Rank-2 names only refer to the first two primes in the prime subgroup, and rank-3 names only refer to the first three primes.<br />
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| <br />
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| The temperament created by tempering out 49/48 from the 2.3.7 subgroup is called semaphore, which is a play on words, as two generators equals a 4/3, and one generator is a &quot;semi-fourth&quot;. Pergen names extend this practice to all temperaments, with the addition of &quot;half-octave&quot; or &quot;quarter-octave&quot; to indicate<br />
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| <br />
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| If a rank-2 temperament uses the primes 2 and 3 in its comma(s), then the period can be expressed as the octave 2/1, or some fraction of an octave. The generator can be expressed as a 3-limit interval, or some fraction of one.<br />
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| of the form 1/N</body></html></pre></div>
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