Bird's eye view of temperaments by accuracy: Difference between revisions

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Bound-violating intervals: [[13/9]]
Bound-violating intervals: [[13/9]]


Srutal is an at least no-19's [[23-limit]] temperament, being an extension of [[srutal archagall]] to the full [[17-limit]] and finding [[23/16]] as an augmented fourth, that is, as a tritone of ([[~]][[9/8]])<sup>3</sup>. Therefore, familiarizing oneself with srutal archagall is recommendable as the structures and tunings are nearly identical (and their tunings merge meaningfully in [[80edo]]), with the main difference being number of notes and breadth of harmonies targetted. Srutal can find more primes than just those in the no-19's 23-limit but they are more complex so more likely to be used opportunistically in a 34-note MOS, so that this temperament can be seen as a detemperament of [[34edo]]. [[80edo]] is a good tuning for it, though [[46edo]] deals well enough with the no-19's 23-limit part (potentially add-31) at the cost of a variety of distinctions. An alternative extension of srutal archagall to just the full 17-limit which is damages the 2.3.5.17 subgroup slightly more is [[diaschismic]].
Srutal is an at least no-19's [[23-limit]] temperament, being an extension of [[#Srutal archagall]] to the full [[17-limit]] and finding [[23/16]] as an augmented fourth, that is, as a tritone of ([[~]][[9/8]])<sup>3</sup>. Therefore, familiarizing oneself with srutal archagall is recommendable as the structures and tunings are nearly identical (and their tunings merge meaningfully in [[80edo]]), with the main difference being number of notes and breadth of harmonies targetted. Srutal can find more primes than just those in the no-19's 23-limit but they are more complex so more likely to be used opportunistically in a 34-note MOS, so that this temperament can be seen as a detemperament of [[34edo]]. [[80edo]] is a good tuning for it, though [[46edo]] deals well enough with the no-19's 23-limit part (potentially add-31) at the cost of a variety of distinctions. An alternative extension of srutal archagall to just the full 17-limit which is damages the 2.3.5.17 subgroup slightly more is [[#Diaschismic]].


== No-2's focus ==
== No-2's focus ==