Monzo: Difference between revisions
#Subgroup monzos looks good enough. See no point to revive the old text |
Notational pet peeve (a, b, c, .. can't represent infinite variables) |
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{{Beginner|Monzos and interval space}} | {{Beginner|Monzos and interval space}} | ||
A '''monzo''' is a way of notating a [[JI]] [[interval]] that allows us to express directly how any | 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 simpler [[prime]] intervals. They are typically written using the notation {{monzo| ''a''<sub>1</sub> ''a''<sub>2</sub> ''a''<sub>3</sub> ''a''<sub>4</sub> ''a''<sub>5</sub> ''a''<sub>6</sub> … }}, where ''a''<sub>''i''</sub> are numbers that 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]]. When notating just intonation, they only permit integers as their entries. | Monzos can be thought of as counterparts to [[vals]]. When notating just intonation, they only permit integers as their entries. | ||