Tuning ranges of regular temperaments: Difference between revisions
Cmloegcmluin (talk | contribs) revise page to cover tuning ranges in general, with the Milne, Sethares, and Plamodon definitions restricted to a specific approach; extract details about these tuning ranges to new dedicated pages |
Cmloegcmluin (talk | contribs) →Other tuning ranges: add Dave Keenan's suggestion |
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[[Paul Erlich]] has proposed other tuning ranges, such as the set of regular tunings in which the temperament has up to 2×, 5×, 10× etc. its optimal damage under some metric (such as [[Kees_height|KE]]), or a set of absolute cutoffs on damage applied across all temperaments, though there could be no objective value for such cutoffs that would be both amenable to the entire community as well as useful for the entire set of regular temperaments (including extreme cases like [[macrotemperaments]] and [[microtemperaments]]). | [[Paul Erlich]] has proposed other tuning ranges, such as the set of regular tunings in which the temperament has up to 2×, 5×, 10× etc. its optimal damage under some metric (such as [[Kees_height|KE]]), or a set of absolute cutoffs on damage applied across all temperaments, though there could be no objective value for such cutoffs that would be both amenable to the entire community as well as useful for the entire set of regular temperaments (including extreme cases like [[macrotemperaments]] and [[microtemperaments]]). | ||
[[Dave Keenan]] has proposed the range over which there is not a "better" temperament that maps the generators differently, for some definition of "better", likely taking into account both error and complexity. | |||
Others have proposed the [[step ratio spectrum]] as a helpful way of thinking about tuning ranges. | Others have proposed the [[step ratio spectrum]] as a helpful way of thinking about tuning ranges. | ||