Root: Difference between revisions
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== Melodic root == | |||
The term '''root''' is sometimes used to refer to the central establishing pitch which all other pitches are perceived in relation to. It is used interchangeably with "tonic". | |||
This wiki's article about that concept is: [[Tonic]]. | |||
== | == Arithmetical root == | ||
{{Wikipedia|Nth root}} The arithmetical concept of '''roots''' is often encountered in discussions about tuning. The remainder of this page discusses that type of root. | |||
=== How are roots related to equal divisions? === | |||
To divide an interval ''a'' into ''b'' equal parts, that is, to calculate the size of the interval that, when repeated ''b'' times, would add up to ''a'', calculate the ''b''-th root of ''a''. The equivalent expression is to take ''a'' to the (1/''b'')th power. | To divide an interval ''a'' into ''b'' equal parts, that is, to calculate the size of the interval that, when repeated ''b'' times, would add up to ''a'', calculate the ''b''-th root of ''a''. The equivalent expression is to take ''a'' to the (1/''b'')th power. | ||