Generator sequence: Difference between revisions
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If a ternary [[billiard scale]] has a WFGS, the WFGS must use either two or three distinct generators, since ternary billiard scales are MV3 or MV4 and the imperfect generator is excluded from the generator sequence. | If a ternary [[billiard scale]] has a WFGS, the WFGS must use either two or three distinct generators, since ternary billiard scales are MV3 or MV4 and the imperfect generator is excluded from the generator sequence. | ||
== | == Related concepts == | ||
=== MOS substitution === | |||
[[MOS substitution]] is a procedure that yields ternary scales with binary generator sequences. | |||
=== Multi-GS === | === Multi-GS === | ||
To extend the GS construction to a multiple-period MOS that splits the 2/1 into p > 1 periods, we can take a MOS-sized CS generated with a WFGS, and take offset copies of this scale by a detempered version of p-edo. This is what Inthar calls a ''multi-(WF)GS''. | To extend the GS construction to a multiple-period MOS that splits the 2/1 into p > 1 periods, we can take a MOS-sized CS generated with a WFGS, and take offset copies of this scale by a detempered version of p-edo. This is what Inthar calls a ''multi-(WF)GS''. | ||