Kite's thoughts on fifthspans: Difference between revisions
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== Finding the fifthspan of an edo interval == | == Finding the fifthspan of an edo interval == | ||
To find the fifthspan of X\N, first find F, the fifthspan of 1\N. F is the smaller ancestor of N | To find the fifthspan of X\N, first find F, the fifthspan of 1\N. F is the smaller ancestor of N in the [[wikipedia:Stern–Brocot_tree|Stern–Brocot tree]]. For example, 17-edo appears on the scale tree as 10\17, and its smaller ancestor is 3\5. Since 10\17 is to the left of 3\5 in the scale tree, F is negative, and F = -5. And in fact, 1\17 is a minor 2nd, fifthspan -5. | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||