Monzo: Difference between revisions
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{{Beginner|Monzos and interval space}} | |||
A '''monzo''' is a way of notating a [[JI]] [[interval]] that allows us to express directly how any "composite" interval is represented in terms of those simpler prime intervals. They are typically written using the notation {{monzo| a b c d e f … }}, where the columns represent how the primes 2, 3, 5, 7, 11, 13, etc, in that order, contribute to the interval's prime factorization, up to some [[Harmonic Limit|prime limit]]. | A '''monzo''' is a way of notating a [[JI]] [[interval]] that allows us to express directly how any "composite" interval is represented in terms of those simpler prime intervals. They are typically written using the notation {{monzo| a b c d e f … }}, where the columns represent how the primes 2, 3, 5, 7, 11, 13, etc, in that order, contribute to the interval's prime factorization, up to some [[Harmonic Limit|prime limit]]. | ||
Monzos can be thought of as counterparts to [[vals]]. Like vals, they also only permit integers as their entries (unless otherwise specified). | Monzos can be thought of as counterparts to [[vals]]. Like vals, they also only permit integers as their entries (unless otherwise specified). | ||
== History and terminology == | == History and terminology == | ||