BOP tuning: Difference between revisions
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For any temperament, the [[TOP tuning]] is the one that minimizes the max Tenney-weighted (i.e. <math>1/\log(nd)</math>-weighted) error on all rationals mapped by that temperament. | For any temperament, the [[TOP tuning]] is the one that minimizes the max Tenney-weighted (i.e. <math>1/\log(nd)</math>-weighted) error on all rationals mapped by that temperament. | ||
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As a simpler example, this guarantees that the BOP tuning for 2.3.5.9 16edo, with the inconsistent mapping of 57 steps on the 9/1, is the same as the 2.3.5 tuning for 16edo. | As a simpler example, this guarantees that the BOP tuning for 2.3.5.9 16edo, with the inconsistent mapping of 57 steps on the 9/1, is the same as the 2.3.5 tuning for 16edo. | ||
[[Category:Acronyms]] | [[Category:Acronyms]] | ||
[[Category:Math]] | [[Category:Math]] | ||
[[Category: | [[Category:Regular temperament tuning]] | ||