MOS substitution: Difference between revisions

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Add a section about how to denote modes of a MOS substitution scale
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Here <math>\mathbf{z}</math> is the new step size inserted, <math>\mathbf{y}</math> is the step size in the starting MOS identified with <math>\mathbf{z}</math> by the template MOS, and <math>k</math> is the brightness of the mode of the filling MOS used (<math>k = 0</math> corresponds to the darkest mode; the conventional understanding of "brightness" makes sense as <math>\mathbf{L}</math> (resp. <math>\mathbf{m}</math>) > <math>\mathbf{s}</math>).
Here <math>\mathbf{z}</math> is the new step size inserted, <math>\mathbf{y}</math> is the step size in the starting MOS identified with <math>\mathbf{z}</math> by the template MOS, and <math>k</math> is the brightness of the mode of the filling MOS used (<math>k = 0</math> corresponds to the darkest mode; the conventional understanding of "brightness" makes sense as <math>\mathbf{L}</math> (resp. <math>\mathbf{m}</math>) > <math>\mathbf{s}</math>).
== Denoting modes of a MOS substitution scale ==
== Denoting modes of a MOS substitution scale ==
Just as rotating the filling MOS while fixing the mode of the template MOS serves to distinguish different MOS substitution scales, we take the UDP of the template MOS (treating the slot letter as the smaller step) to indicate the mode of a given MOS substitution scale.
Just as rotating the filling MOS while fixing the mode of the template MOS serves to distinguish different MOS substitution scales, we take the mode of the template MOS (treating the slot letter as the smaller step) and write it in UDP to indicate the mode of a given MOS substitution scale.


For example: Taking the 5|5 mode of the template MOS in subst 5'''L'''(2'''m'''4'''s''' 4&#124;0(2)) (LmLsLsLmLss) yields the mode sLmLsLsLmLs, denoted "subst 5'''L'''(2'''m'''4'''s''' 4&#124;0(2)) 5|5".
For example: Taking the 5|5 mode of the template MOS in subst 5'''L'''(2'''m'''4'''s''' 4&#124;0(2)) (LmLsLsLmLss) yields the mode sLmLsLsLmLs, denoted "subst 5'''L'''(2'''m'''4'''s''' 4&#124;0(2)) 5|5".
== Examples ==
== Examples ==
In the following tables, the interval class of the generators stacked in the generator sequence is such that the perfect generator has fewer <math>\mathbf{X}</math> steps than the imperfect counterpart.
In the following tables, the interval class of the generators stacked in the generator sequence is such that the perfect generator has fewer <math>\mathbf{X}</math> steps than the imperfect counterpart.