Periodic scale: Difference between revisions

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 === Classes ===
-{{Todo|explain|inline=1|text=What is: j, the curly brackets, nP, nO}}
+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(''i'') on the integers which gives the ''generic intervals'' of a periodic scale. This is defined by s[''j''] - s[''i''] is in class(''k'') if ''j'' - ''i'' = ''k''. Since s is quasiperiodic, class(''nP'') consists only of {''nO''}, but the rest define sets of numbers in terms of which we can define some important scale properties.
 === Step form and cumulative form ===