Maximum variety: Difference between revisions

Inthar (talk | contribs)
Inthar (talk | contribs)
m Classification of MV3 scales: not article title
Line 16: Line 16:
# The PWF scales are exactly the single-period rank-3 [[billiard scale]]s.
# The PWF scales are exactly the single-period rank-3 [[billiard scale]]s.
# Non-twisted single-period MV3 scales are always SV3.
# Non-twisted single-period MV3 scales are always SV3.
# If the scale is PWF, with one exception abacaba, there always exists some "generator" interval such that the scale can be expressed as '''two parallel chains''' of this generator which are almost equal in length (the lengths are either equal, or differ by 1). This property is called the [[generator-offset property]] (GO).
# If the scale is PWF, with one exception abacaba, there always exists some "generator" interval such that the scale can be expressed as two parallel chains of this generator which are almost equal in length (the lengths are either equal, or differ by 1). This property is called the [[generator-offset property]] (GO).


=== Generating MV3 scales ===
=== Generating MV3 scales ===