21st-octave temperaments: Difference between revisions

Overthink (talk | contribs)
Blackmagic: + badness
Overthink (talk | contribs)
Blackmagic: note primes 17 and 19, etymology
 
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== Blackmagic ==
== Blackmagic ==
Blackmagic is the 63 & 84 temperament, merging two systems which cover many large primes.{{Todo|review}}
Blackmagic is the 63 & 84 temperament, merging two systems which cover many large primes. It was named by [[User:Overthink|Overthink]] in 2026 as a twist on "blackjack" (which itself already refers to the 21-note [[MOS scale|mos]] of [[miracle]]), as well as because of its higher-limit properties. {{Todo|review}}


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
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=== 2.3.5.7.11.13.23.29.31.43 subgroup ===
=== 2.3.5.7.11.13.23.29.31.43 subgroup ===
Primes 17 and 19 could be included by mapping them to -1 and 1 generators respectively, though in practice this mapping only works in [[84edo]].


Subgroup: 2.3.5.7.11.13.23.29.31.43
Subgroup: 2.3.5.7.11.13.23.29.31.43