Marvel temperaments: Difference between revisions
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Blackmagic may be described as the 63 & 84 temperament, merging two systems which cover many large primes. It extends to the 13-limit by mapping [[33/32]] to the period and [[39/32]] to 6\21. Additionally, [[prime harmonic|primes]] [[23/1|23]], [[29/1|29]], and [[31/1|31]] can be mapped to 11\21, 18\21, and 20\21 without much error. | Blackmagic may be described as the 63 & 84 temperament, merging two systems which cover many large primes. It extends to the 13-limit by mapping [[33/32]] to the period and [[39/32]] to 6\21. Additionally, [[prime harmonic|primes]] [[23/1|23]], [[29/1|29]], and [[31/1|31]] can be mapped to 11\21, 18\21, and 20\21 without much error. | ||
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]]. Prime [[43/1|43]] could also be included, with [[43/32]] mapped to 9\21 and 560/559 added to the comma list. | Primes [[17/1|17]] and [[19/1|19]] could be included by mapping them to -1 and 1 generators respectively, though in practice this mapping only works in [[84edo]]. Prime [[43/1|43]] could also be included, with [[43/32]] mapped to 9\21 and 560/559 added to the comma list. | ||
Blackmagic was named by {{u|Overthink}} in 2026 as a twist on ''[[Blackjack]]'' (the 21-note [[mos]] of [[miracle]]), as well as because of its higher-limit properties. It is not related to [[blackwood family #Blackwood|blackwood]] or [[magic family #Magic|magic]]. | Blackmagic was named by {{u|Overthink}} in 2026 as a twist on ''[[Blackjack]]'' (the 21-note [[mos]] of [[gamelismic clan #Miracle|miracle]]), as well as because of its higher-limit properties. It is not related to [[blackwood family #Blackwood|blackwood]] or [[magic family #Magic|magic]]. | ||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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{{Mapping|legend=1| 21 0 82 59 | 0 1 -1 0 }} | {{Mapping|legend=1| 21 0 82 59 | 0 1 -1 0 }} | ||
: | : mapping generators: ~16807/16384, ~3 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||