Taxonomies of xen approaches: Difference between revisions
Cmloegcmluin (talk | contribs) →Inthar's taxonomy: fix link |
Cmloegcmluin (talk | contribs) Undo revision 80270 by Cmloegcmluin (talk): actually the original link is better. I was just thrown off by those two different pages for mapping at first. Tag: Undo |
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Stacking-based approaches obtain all pitches by stacking a finite set of intervals. Non-stacking based approaches do not think of pitches in systems this way, even if e.g. [[edo]]s are trivially stacking-based. | Stacking-based approaches obtain all pitches by stacking a finite set of intervals. Non-stacking based approaches do not think of pitches in systems this way, even if e.g. [[edo]]s are trivially stacking-based. | ||
* JI-based, stacking-based: Traditional, JI-based [[RTT]] is a major approach that belongs to this, in JI-based RTT the JI ''interpretations'' of two intervals stack according to the temperament [[ | * JI-based, stacking-based: Traditional, JI-based [[RTT]] is a major approach that belongs to this, in JI-based RTT the JI ''interpretations'' of two intervals stack according to the temperament [[mapping]]. So is prime-limited or lattice-based JI. | ||
* JI-based, non-stacking-based: [[Primodality]] and [[neji]]s. | * JI-based, non-stacking-based: [[Primodality]] and [[neji]]s. | ||
* JI-agnostic, stacking-based: Uninterpreted [[mos]]ses and k-step scales. This could be thought of as RTT but with abstract intervals instead of JI. The goal of these systems is not to approximate JI (though close JI intervals can be considered sometimes), but to give the pitch system or scale a regular structure (e.g. a finite number of scale steps or a [[maximum variety]] condition such as [[mos]]ses.) For more (in context of edos), see [[EDO vs ET#Temperament-agnostic EDO paradigms]]. | * JI-agnostic, stacking-based: Uninterpreted [[mos]]ses and k-step scales. This could be thought of as RTT but with abstract intervals instead of JI. The goal of these systems is not to approximate JI (though close JI intervals can be considered sometimes), but to give the pitch system or scale a regular structure (e.g. a finite number of scale steps or a [[maximum variety]] condition such as [[mos]]ses.) For more (in context of edos), see [[EDO vs ET#Temperament-agnostic EDO paradigms]]. | ||
* JI-agnostic, non-stacking-based: This is a more wide-open area. | * JI-agnostic, non-stacking-based: This is a more wide-open area. | ||