Pergen names
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**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. 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 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. of the form 1/N
Original HTML content:
<html><head><title>pergen names</title></head><body><strong>Pergen</strong> (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.<br /> <br /> 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<br /> <br /> 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 /> of the form 1/N</body></html>