Support: Difference between revisions

Cmloegcmluin (talk | contribs)
interval basis → domain basis (thanks Jukka!)
Cmloegcmluin (talk | contribs)
Other informal usage: This was based on a misinterpretation of what was written on that page, so it has been stricken
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Most typically, this sense of "support" is reserved for such cases where not only is '''B''' merely possible or ''valid'' with '''A''', but '''A''' is actually ''good'' for '''B'''. The technical RTT sense of "supports" defined above is strictly mathematical and makes no such stipulation of aesthetic goodness, however. According to it, the [[wart notation|2c]] [[map]] for [[2edo|2-ET]] supports [[meantone]] despite tuning the fifth to 600¢, well outside the [[diamond tuning ranges]] for meantone. Furthermore, since [[0edo|0-ET]] makes ''every'' comma vanish, it therefore supports ''every temperament'', though clearly it does not do so in any musically useful sense. Due to this key difference between the technical RTT definition and the informal general definition, occasionally usages may conflict and surprise some readers.
Most typically, this sense of "support" is reserved for such cases where not only is '''B''' merely possible or ''valid'' with '''A''', but '''A''' is actually ''good'' for '''B'''. The technical RTT sense of "supports" defined above is strictly mathematical and makes no such stipulation of aesthetic goodness, however. According to it, the [[wart notation|2c]] [[map]] for [[2edo|2-ET]] supports [[meantone]] despite tuning the fifth to 600¢, well outside the [[diamond tuning ranges]] for meantone. Furthermore, since [[0edo|0-ET]] makes ''every'' comma vanish, it therefore supports ''every temperament'', though clearly it does not do so in any musically useful sense. Due to this key difference between the technical RTT definition and the informal general definition, occasionally usages may conflict and surprise some readers.
According to the page [[EDO vs ET]], the technical definition of "support" given on this page has met with some contention since at least 2011, though the present author is not aware of links to places where it has been debated. The original definition from Gene Ward Smith dates from 2005, and has been generally accepted and propagated throughout this wiki.


== See also ==
== See also ==