Rank-3 scale: Difference between revisions

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When mappings are considered, PWF scales are rank-3 ''[[Gallery of wakalixes|wakalix]]es'' - Fokker blocks which are Fokker blocks in more than one way.
When mappings are considered, PWF scales are rank-3 ''[[Gallery of wakalixes|wakalix]]es'' - Fokker blocks which are Fokker blocks in more than one way.


Not all trivalent scales are PWF. Only a single scale - abcba - is trivalent and not PWF.
Not all trivalent scales are PWF. Only a single scale - ''abcba'' - is trivalent and not PWF.


Only a single PWF scale is mirror-symmetric - abacaba.
Only a single PWF scale is mirror-symmetric - abacaba.


Apart from abacaba, PWF scales can be generated by an alternating generator sequence of two generators, modulo the period.
Apart from ''abacaba'', PWF scales can be generated by an alternating generator sequence of two generators, modulo the period.


PWF scales can only have odd numbers of notes.
PWF scales can only have odd numbers of notes.