7-limit: Difference between revisions
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{{Wikipedia|7-limit tuning}} | |||
The '''7-limit''' or 7-prime-limit consists of rational intervals where 7 is the highest allowable [[prime]] factor, so that every such interval may be written as a ratio of integers which are products of 2, 3, 5 and 7. This is an infinite set and still infinite even if we restrict consideration to a single octave. Some examples within the octave include [[7/4]], [[7/5]], [[7/6]], [[9/7]], [[15/14]], [[21/16]], [[21/20]], [[35/27]], [[49/36]], and so on. | The '''7-limit''' or 7-prime-limit consists of rational intervals where 7 is the highest allowable [[prime]] factor, so that every such interval may be written as a ratio of integers which are products of 2, 3, 5 and 7. This is an infinite set and still infinite even if we restrict consideration to a single octave. Some examples within the octave include [[7/4]], [[7/5]], [[7/6]], [[9/7]], [[15/14]], [[21/16]], [[21/20]], [[35/27]], [[49/36]], and so on. | ||
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== See also == | == See also == | ||
* [[Harmonic | * [[Harmonic limit]] | ||
* [[7-odd-limit]] | * [[7-odd-limit]] | ||
* [[Wikipedia: Highly composite number]] | * [[Wikipedia: Highly composite number]] | ||
[[Category: | [[Category:7-limit| ]] <!-- main page --> | ||
[[Category:Prime limit]] | [[Category:Prime limit]] | ||
[[Category:Interval collection]] | [[Category:Interval collection]] | ||
[[Category:Lattice]] | [[Category:Lattice]] | ||
[[Category:Listen]] | [[Category:Listen]] | ||
[[Category:Rank 4]] | [[Category:Rank 4]] | ||