2/5-comma meantone

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This page presents a novelty topic. It features ideas which are less likely to find practical applications in xenharmonic music. It may contain numbers that are impractically large, exceedingly complex, or chosen arbitrarily. Novelty topics are often developed by a single person or a small group. As such, this page may also feature idiosyncratic terms, notations, or conceptual frameworks.

2/5-comma meantone is a tuning of meantone where the fifth is flattened by 2/5 of the syntonic comma, producing a fifth of 693.352 cents. This is approximated well by 45edo.

The most accurate choice for extending 2/5-comma meantone into the 7-limit, 11-limit or 13-limit is flattone temperament. In fact, 2/5-comma meantone’s fifth is almost exactly the optimal CTE generator for 11-limit flattone — less than 0.2 cents different.