Generator embedding optimization: Difference between revisions
Dave Keenan (talk | contribs) →Convert to generators: Changed "generator preimage transversal" to "generator detempering". |
Cmloegcmluin (talk | contribs) target set → target-interval set |
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When computing an all-interval tuning where the dual norm power is <math>∞</math>, we use a variation on the method we used for ordinary tunings when the optimization power was <math>∞</math>. | When computing an all-interval tuning where the dual norm power is <math>∞</math>, we use a variation on the method we used for ordinary tunings when the optimization power was <math>∞</math>. | ||
In this case, our optimization power is also still <math>∞</math>. That is to say, that in this case we're doing the same computation we would have been doing if we had a finite target set, but now we're doing it as if the primes alone were our target set. | In this case, our optimization power is also still <math>∞</math>. That is to say, that in this case we're doing the same computation we would have been doing if we had a finite target-interval set, but now we're doing it as if the primes alone were our target-interval set. | ||
Let's get the minimax-S tuning of meantone. With three proxy target-intervals and two generators, we end up with four constraint matrices: | Let's get the minimax-S tuning of meantone. With three proxy target-intervals and two generators, we end up with four constraint matrices: | ||