Periodic scale: Difference between revisions

Sintel (talk | contribs)
Classes: try a less confusing definition
Sintel (talk | contribs)
Classes: swap i + k
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=== Classes ===
=== Classes ===
We may define an important function class(''k'') on the integers which gives the ''generic intervals'' of a periodic scale. For some integer ''k'', the set class(''k'') consists of all intervals <math>s[k+i] - s[i]</math>. Since ''s'' is quasiperiodic, class(''P'') only contains the period ''O'', but the rest may contain multiple intervals.
We may define an important function class(''k'') on the integers which gives the ''generic intervals'' of a periodic scale. For some integer ''k'', the set class(''k'') consists of all intervals <math>s[i+k] - s[i]</math>. Since ''s'' is quasiperiodic, class(''P'') only contains the period ''O'', but the rest may contain multiple intervals.


=== Step form and cumulative form ===
=== Step form and cumulative form ===