Taxonomies of xen approaches

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.