Consistent circle: Difference between revisions
m →Examples: tildes & better notation |
m →Definition: add "strong circle" |
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: |''N''<sup>2</sup> log<sub>2</sub>(a/b) / GCD(''k'',''N'')| < 1/2 | : |''N''<sup>2</sup> log<sub>2</sub>(a/b) / GCD(''k'',''N'')| < 1/2 | ||
And is a ''weak circle'' if it is < 1 instead. | And is a ''weak circle'' if it is < 1 instead, or a ''strong circle'' if it is < 1/4. | ||
=== Weak circle === | === Weak circle === | ||
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This is a much more common type of circle that is still generally reliable for most purposes, hence useful to distinguish. | This is a much more common type of circle that is still generally reliable for most purposes, hence useful to distinguish. | ||
=== Strong circle === | |||
A strong circle is a circle with closing error of less than a quarter of an EDOstep, so that it is in some sense as reliable as you could possibly ask of it. | |||
This is useful because it means that when you tune perfectly, it will have significantly more plausible "closure" than a non-strong circle. | |||
For example, [[12edo]], [[53edo]] and [[665edo]] are the first three strong circles of ~3/2, given that the remnant is less than a quarter of an edostep in each case. | |||
=== Is vs. has === | === Is vs. has === | ||