Taxonomies of xen approaches: Difference between revisions
Jump to navigation
Jump to search
No edit summary Tags: Mobile edit Mobile web edit |
No edit summary Tags: Mobile edit Mobile web edit |
||
| Line 8: | Line 8: | ||
* 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 map. So is prime-limited or lattice-based JI. | * 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 map. 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. | * JI-agnostic, stacking-based: Uninterpreted [[mos]]ses and k-step scales. This could bwbe thought of as essentially RTT but with abstract intervals instead of JI, and the goal isn't necessarily to approximate JI but to give the pitch system or scale a structure. | ||
* JI-agnostic, non-stacking-based: This is a more wide-open area. | * JI-agnostic, non-stacking-based: This is a more wide-open area. | ||
Revision as of 16:46, 3 September 2021
Inthar's taxonomy
One possible taxonomy of approaches to xen:
JI-based approaches either use JI directly, or interpret all pitches in a system as JI ratios. Formalized JI-agnostic and non-stacking-based approaches to xenharmony are more recent than JI-based RTT approaches.
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. edos 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 map. So is prime-limited or lattice-based JI.
- JI-based, non-stacking-based: Primodality and nejis.
- JI-agnostic, stacking-based: Uninterpreted mosses and k-step scales. This could bwbe thought of as essentially RTT but with abstract intervals instead of JI, and the goal isn't necessarily to approximate JI but to give the pitch system or scale a structure.
- JI-agnostic, non-stacking-based: This is a more wide-open area.