Scale tree: Difference between revisions
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{{Todo| expand| comment=This page is a work-in-progress; feel free to edit as needed. | inline=1}}The '''scale tree''', usually referred to as the Stern-Brocot tree, is an infinite binary tree that lists every possible reduced positive rational number. The scale tree is commonly used in the context of [[MOS scale|MOS scales]] and [[regular temperament theory]]. | {{Todo| expand| comment=This page is a work-in-progress; feel free to edit as needed.<br>Idea: give musical examples instead of the 0/1 to 1/0 case, which can be found on Wikipedia. | inline=1}} | ||
{{Wikipedia|Stern-Brocot tree}} | |||
The '''scale tree''', usually referred to as the Stern-Brocot tree, is an infinite binary tree that lists every possible reduced positive rational number. The scale tree is commonly used in the context of [[MOS scale|MOS scales]] and [[regular temperament theory]]. | |||
== Construction == | == Construction == | ||
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The two starting ratios of 0/1 and 1/1 may be replaced with any other ratios to produce a new tree that is a subset of the original tree, where the mediant of those ratios represents the root. | The two starting ratios of 0/1 and 1/1 may be replaced with any other ratios to produce a new tree that is a subset of the original tree, where the mediant of those ratios represents the root. | ||
== See also == | == See also == | ||