MOS substitution: Difference between revisions

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== MOS substitution scales and RTT ==
== MOS substitution scales and RTT ==
See [[RTT with ternary scales]].
Given a ternary scale with step signature ''a''L''b''m''c''s with gcd(''a'', ''b'', ''c'') = 1 and a [[JI subgroup]], there exist linearly independent (possibly [[patent val|non-patent]]) [[val]]s ''a'', ''a'' + ''b'', and ''a'' + ''b'' + ''c'' that interpret the scale. Assuming the join is not contorted, a [[rank-3 temperament]] can now be defined as the join of these three vals.


== Pseudocode ==
== Pseudocode ==