MOS substitution: Difference between revisions
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then it is a MOS substitution scale, namely subst((''a''+''b'')'''X'''''c'''''s'''(''i''), '''X''', ''a'''''L'''''b'''''m'''(''j'')) for some brightnesses ''i'' and ''j''. | then it is a MOS substitution scale, namely subst((''a''+''b'')'''X'''''c'''''s'''(''i''), '''X''', ''a'''''L'''''b'''''m'''(''j'')) for some brightnesses ''i'' and ''j''. | ||
In particular, all monotone-MOS | In particular, all [[monotone-MOS scale]]s (i.e. such that the results of '''L''' = '''m''', '''m''' = '''s''', and '''s''' = '''0''' temperings are MOSes) arise from MOS substitution in this way. | ||
=== If the template MOS is primitive, MOS substitution yields binary well-formed generator sequences === | === If the template MOS is primitive, MOS substitution yields binary well-formed generator sequences === | ||
The following holds for <math>S = \mathsf{MOS\_subst}(a, b, c; \mathbf{L}, \mathbf{s}; k)</math> (and after switching <math>\mathbf{L}</math> with <math>\mathbf{m}</math> and <math>a</math> with <math>b,</math> for <math>\mathsf{MOS\_subst}(a, b, c; \mathbf{m}, \mathbf{s}; k)</math> as well): | The following holds for <math>S = \mathsf{MOS\_subst}(a, b, c; \mathbf{L}, \mathbf{s}; k)</math> (and after switching <math>\mathbf{L}</math> with <math>\mathbf{m}</math> and <math>a</math> with <math>b,</math> for <math>\mathsf{MOS\_subst}(a, b, c; \mathbf{m}, \mathbf{s}; k)</math> as well): | ||