Magic: Difference between revisions
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Magic has certain properties that commend it as a step up in complexity from traditional harmony: | Magic has certain properties that commend it as a step up in complexity from traditional harmony: | ||
* It is the simplest mapping capable of tuning every [[9-odd-limit]] interval | * It is the simplest mapping capable of tuning every [[9-odd-limit]] interval better than in [[12edo]]. | ||
* It is only slightly more complex than meantone (both work well with a 19 note gamut). | * It is only slightly more complex than meantone (both work well with a 19 note gamut). | ||
* 5-limit intervals are simpler than other 7-limit intervals. | * 5-limit intervals are simpler than other 7-limit intervals. | ||
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It is not a panacea because: | It is not a panacea because: | ||
* | * It has no proper MOS scales with between 3 and 16 notes over a single period per octave. | ||
* It is more complex than meantone (higher complexity and badness). | * It is more complex than meantone (higher complexity and badness). | ||
* The 3/2 approximation is 5 times as complex as the 5/4 approximation (the generator) so modulation by fifths is more constrained than you may be used to. | * The 3/2 approximation is 5 times as complex as the 5/4 approximation (the generator) so modulation by fifths is more constrained than you may be used to. | ||