Map: Difference between revisions

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Cmloegcmluin (talk | contribs)
totally rework page
Cmloegcmluin (talk | contribs)
incorporate further advice from Dave
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In mathematics generally, '''map''' is synonymous with "mapping" and "function". In RTT, both "map" and "mapping" have the more specific meaning of a [[Wikipedia:Linear_map|''linear'' map]], which is a function that can be represented by a matrix, but it is common to reserve the shorter word "map" for a single row of such a matrix, such as a [[tuning map]] or [[ET]] map. In this single-row sense, a map may also be viewed as a [[Wikipedia:Covector|covector]], and when unqualified, is synonymous with "[[val]]" (tuning maps are usually not vals because they usually have non-integer entries).
A '''map''', in [[regular temperament theory]], is most commonly used to refer to a single row of a [[mapping]], including a mapping with only one row (an [[ET]] map).
 
"Map" is usually synonymous with "[[val]]", except that [[tuning map]]s and keyboard maps are not vals because they may contain non-integer entries.
 
In mathematics generally, "map" is synonymous with "mapping" and "function". In RTT, "map" has the more specific meaning of a [[Wikipedia:Linear_form|linear form]], which is a function that can be represented by a [[Wikipedia:Covector|covector]], and "mapping" has the more specific meaning given here: [[Mapping#math|mapping]]. The shorter word refers to the simpler object.


[[Category:Temperament]]
[[Category:Temperament]]

Revision as of 18:23, 20 December 2021

A map, in regular temperament theory, is most commonly used to refer to a single row of a mapping, including a mapping with only one row (an ET map).

"Map" is usually synonymous with "val", except that tuning maps and keyboard maps are not vals because they may contain non-integer entries.

In mathematics generally, "map" is synonymous with "mapping" and "function". In RTT, "map" has the more specific meaning of a linear form, which is a function that can be represented by a covector, and "mapping" has the more specific meaning given here: mapping. The shorter word refers to the simpler object.