Ringer scale: Difference between revisions
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Because the CS property means that every occurrence of an interval must occur with the same number of steps, it suffices to show that every one-step interval is mapped by an appropriate [[val]] to one step. The proof of this is as follows. | Because the CS property means that every occurrence of an interval must occur with the same number of steps, it suffices to show that every one-step interval is mapped by an appropriate [[val]] to one step. The proof of this is as follows. | ||
Consider an ''n''-note [[periodic scale]] with period an octave as being defined by a function '''f('''''k''''') : Z -> Q<sub>>0</sub>''' with '''f('''''nk''''') = 2'''<sup>''k''</sup>. | Consider an ''n''-note [[periodic scale]] with period an octave as being defined by a function '''f('''''k''''') : Z -> Q<sub>>0</sub>''' with '''f('''''nk''''') = 2'''<sup>''k''</sup>. | ||