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We usually do not call a series of notes occuring at random intervals a rhythm. This, of course, implies that to be called a rhythm, some type of order may be imposed upon a note sequence.Since humans dance to rhythm, and since dancing is a repetitive operation, dancers need some indication from the rhythm itself, as to where a repetition is to occur. This repetition of something in a rhythm is the order to be treated first. The union, repeated dance step with something repeated in a rhythm, is a coincidental species of order.
This type of order, repetition, can be taken as a geometrical concept. In that case it can be a repetition of a pattern of notes, parts of a pattern of notes, a single note, a real or implied beat, or even the size of a pattern. Each is the repetition of something, and each is recognized by dancers as a repetition.
Repetition of part of a pattern:
|1 & 2 & 3 & 4 &|1 & 2 & 3 & 4 &| |O O O O O |O O O |Repetition of a note:
|123123123123|123123123123| |O t tt t t t|O t t t t t|Repetition of implied beat:|1 & 2 & 3 & 4 &|1 & 2 & 3 & 4 &| |O O O O O t|t O t S |
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