Diamond tradeoff: Difference between revisions
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== Mathematical definition == | == Mathematical definition == | ||
[[Gene Ward Smith]] gives the following definition. The [[Odd limit|''q''-odd-limit]] '''diamond tradeoff''' range of a [[rank]]-''r'' [[Prime limit|''p''-limit]] temperament is the | [[Gene Ward Smith]] gives the following definition. The [[Odd limit|''q''-odd-limit]] '''diamond tradeoff''' range of a [[rank]]-''r'' [[Prime limit|''p''-limit]] temperament is the {{w|convex hull}} in [[Vals and tuning space|tuning space]] of the set of all tunings with ''r'' [[eigenmonzo|eigenmonzos (unchanged-intervals)]] chosen as follows: one eigenmonzo 2 (pure octaves tunings) and the rest of the eigenmonzos any set of ''r'' - 1 members of the ''q''-odd limit [[tonality diamond]], whenever such a tuning is defined. | ||
== Original name == | == Original name == | ||