Taxonomies of xen approaches: Difference between revisions
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One possible taxonomy of approaches to xen: | One possible taxonomy of approaches to xen: | ||
JI-based approaches either use JI directly, or interpret all pitches in a system as JI ratios. JI-agnostic approaches to xenharmony are more recent than JI-based [[RTT]] approaches. | 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. [[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. | ||
Revision as of 16:44, 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.
- JI-agnostic, non-stacking-based: This is a more wide-open area.