Domain basis: Difference between revisions
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So, for instance, a temperament in the 2.3.5 domain cannot map the intervals 7/6 or 11/8, because there is no way to represent either of those intervals using only the primes 2, 3, and 5. It could, however, temper 6/5, 5/4, 10/9, or 9/8, etc., because those intervals ''can'' be represented using only those three primes. | So, for instance, a temperament in the 2.3.5 domain cannot map the intervals 7/6 or 11/8, because there is no way to represent either of those intervals using only the primes 2, 3, and 5. It could, however, temper 6/5, 5/4, 10/9, or 9/8, etc., because those intervals ''can'' be represented using only those three primes. | ||
A basis may be used to label the columns of a mapping, with one basis element per column. Here's [[ | A basis may be used to label the columns of a mapping, with one basis element per column. Here's [[Gamelismic clan#Slendric|slendric]], a temperament of the 2.3.7 domain: | ||
<math> | <math> | ||