User:Eliora/Schismic-parakleismic equivalence continuum

Revision as of 18:32, 8 August 2026 by Eliora (talk | contribs) (Created page with "{{Technical data page}} The '''schismic–parakleismic equivalence continuum''' is a continuum of 5-limit temperaments which equate a number of schismas (32805/32768) with parakleisma. This continuum is theoretically interesting in that the temperaments associated with its various commas are all 5-limit microtemperaments. All temperaments in the continuum satisfy (...) Varying ''n'' results in different temperaments listed in the table below. It conv...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

The schismic–parakleismic equivalence continuum is a continuum of 5-limit temperaments which equate a number of schismas (32805/32768) with parakleisma. This continuum is theoretically interesting in that the temperaments associated with its various commas are all 5-limit microtemperaments.

All temperaments in the continuum satisfy (...) Varying n results in different temperaments listed in the table below. It converges to schismic as n approaches infinity. If we allow non-integer and infinite n, the continuum describes the set of all 5-limit temperaments supported by 118edo (due to it being the unique equal temperament that tempers both commas and thus tempers all combinations of them). The just value of n is approximately …, and temperaments having n near this value tend to be the most accurate ones.