Consistent circle: Difference between revisions
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In such a case, we say that ''N''-edo "'''has''' a circle of ~a/b's"; it is ''incorrect'' to say that ''N''-edo "'''is''' a circle of ~a/b's" because that would imply all notes are reached by repeatedly stacking ''a''/''b''. | In such a case, we say that ''N''-edo "'''has''' a circle of ~a/b's"; it is ''incorrect'' to say that ''N''-edo "'''is''' a circle of ~a/b's" because that would imply all notes are reached by repeatedly stacking ''a''/''b''. | ||
=== Having an ultraweak circle === | |||
An "ultraweak circle of ~a/b's" in ''N''-edo describes a case where the subset edo generated by a/b qualifies as a weak circle of a/b's. | |||
This can be a useful property to distinguish; for example 80edo has an ultraweak circle of ~10/9's, because (10/9)<sup>20</sup> / 8 (~48.1{{cent}}) is smaller in JI than 1\20 = 60{{cent}}. | |||
This means that if one is satisfied with the circle in the subset edo, one may find it to be sufficiently accurate for navigation with in the larger edo, because of familiarity with it the subset edo. | |||
== Examples == | == Examples == | ||