Mapped interval: Difference between revisions
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A '''mapped interval''' is an [[interval]] that has been mapped by a [[mapping]] matrix for a [[regular temperament]]. | A '''mapped interval''' is an [[interval]] that has been mapped by a [[mapping]] matrix for a [[regular temperament]]. | ||
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A "mapped interval" could also be called a "tempered interval", however, "tempered interval" is more ambiguous; "tempered interval" could also refer to a [[span|size]] resulting from mapping an interval by a [[tuning map]] for a temperament (in the same sense that "interval" is used to refer to a "(just) interval's (size)", or it could even refer to a [[projected interval]] such as the {{ket|0 0 1/4}} generator of quarter-comma meantone. Only "''mapp''ed interval" unambiguously refers to an interval that has been transformed only by the ''mapp''ing matrix for a temperament. | A "mapped interval" could also be called a "tempered interval", however, "tempered interval" is more ambiguous; "tempered interval" could also refer to a [[span|size]] resulting from mapping an interval by a [[tuning map]] for a temperament (in the same sense that "interval" is used to refer to a "(just) interval's (size)", or it could even refer to a [[projected interval]] such as the {{ket|0 0 1/4}} generator of quarter-comma meantone. Only "''mapp''ed interval" unambiguously refers to an interval that has been transformed only by the ''mapp''ing matrix for a temperament. | ||
==See also== | == See also == | ||
* [[Dave Keenan & Douglas Blumeyer's guide to RTT: tuning fundamentals#The RTT version]]: another take at explaining mapped intervals | * [[Dave Keenan & Douglas Blumeyer's guide to RTT: tuning fundamentals#The RTT version]]: another take at explaining mapped intervals | ||
* [[Dave Keenan & Douglas Blumeyer's guide to RTT: units analysis#Mapped interval]]: a units analysis of mapped intervals (also [[Dave_Keenan_%26_Douglas_Blumeyer%27s_guide_to_RTT:_units_analysis#Rank-2_mapped_interval|the following section, for a rank-2 example]]) | * [[Dave Keenan & Douglas Blumeyer's guide to RTT: units analysis#Mapped interval]]: a units analysis of mapped intervals (also [[Dave_Keenan_%26_Douglas_Blumeyer%27s_guide_to_RTT:_units_analysis#Rank-2_mapped_interval|the following section, for a rank-2 example]]) | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Tuning]] | [[Category:Tuning]] | ||