Tenney norm: Difference between revisions
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{{Wikipedia| James Tenney }} | {{Wikipedia| James Tenney }} | ||
If ''n''/''d'' is a positive rational number reduced to its lowest terms, then the [[Benedetti height]] is the integer ''nd''. Often it is more convenient instead to take the logarithm, usually base 2 ([[log2]]), of the [[Benedetti height]], leading to '''Tenney height'''. In either form, it is widely used as a [[measure of inharmonicity]] and/or complexity for intervals. Alternative terms used include '''harmonic distance''' ('''HD'''). | If ''n''/''d'' is a positive rational number reduced to its lowest terms, then the [[Benedetti height]] is the integer ''nd''. Often it is more convenient instead to take the logarithm, usually base 2 ([[log2]]), of the [[Benedetti height]], leading to '''Tenney height'''. In either form, it is widely used as a [[measure of inharmonicity]] and/or [[complexity]] for intervals. Alternative terms used include '''harmonic distance''' ('''HD'''). | ||
== Names == | == Names == | ||
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== See also == | == See also == | ||
* [[Generalized Tenney Norms and Tp Interval Space]] | * [[Generalized Tenney Norms and Tp Interval Space]] | ||