Map: Difference between revisions

Mike Battaglia (talk | contribs)
Shorten some stufd
m Simplify categories
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The word '''map''' could refer to:
The word '''map''' could refer to:


* In general mathematics, a "map" is any function from one set to another. For more information, see [[Wikipedia:Map_(mathematics)|Wikipedia:Map (mathematics)]].
* In general mathematics, a "map" is any function from one set to another. For more information, see [[Wikipedia: Map (mathematics)]].


* In [[regular temperament theory]], the term "map" is used in the more specific sense of a [[Wikipedia:Linear_map|''linear'' map]], which, informally, can be thought of as a function that can be represented by a matrix. Examples include [[tuning map]]s, [[projection matrix|projection map]]s (sometimes called projection matrices), and [[temperament mapping matrix|temperament map]]s (usually called "temperament mapping matrices", or "mapping matrices" or even just "mappings" for short). In the past, the terms "M-map"  and "V-map" were also sometimes used to refer to temperament mappings and [[subgroup basis matrices]], although the terminology has since changed on this wiki. A rank-1 temperament mapping is also called a [[val]].
* In [[regular temperament theory]], the term "map" is used in the more specific sense of a [[Wikipedia:Linear_map|''linear'' map]], which, informally, can be thought of as a function that can be represented by a matrix. Examples include [[tuning map]]s, [[projection matrix|projection map]]s (sometimes called projection matrices), and [[temperament mapping matrix|temperament map]]s (usually called "temperament mapping matrices", or "mapping matrices" or even just "mappings" for short). In the past, the terms "M-map"  and "V-map" were also sometimes used to refer to temperament mappings and [[subgroup basis matrices]], although the terminology has since changed on this wiki. A rank-1 temperament mapping is also called a [[val]].
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* [[Douglas Blumeyer]] and [[Dave Keenan]] recommend reserving the word "map" for a mapping with one row, so that all maps are mappings but not all mappings are maps; a simple tip to remember this usage is that the shorter word refers to the simpler object.  
* [[Douglas Blumeyer]] and [[Dave Keenan]] recommend reserving the word "map" for a mapping with one row, so that all maps are mappings but not all mappings are maps; a simple tip to remember this usage is that the shorter word refers to the simpler object.  


 
[[Category:Disambiguation pages]]
[[Category:Temperament]]
[[Category:Regular temperament theory]]
[[Category:Regular temperament theory]]
[[Category:Theory]]
[[Category:Terms]]
[[Category:Terms]]
[[Category:Math]]
[[Category:Math]]
[[Category:Val]]
[[Category:Val]]
[[Category:Mapping]]
[[Category:Mapping]]
[[Category:Tuning]]
Retrieved from "https://en.xen.wiki/w/Map"