Magic: Difference between revisions

BudjarnLambeth (talk | contribs)
m Add “ For technical information see Magic family.”
ArrowHead294 (talk | contribs)
mNo edit summary
Line 13: Line 13:
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:


* Every [[9-odd-limit]] interval is better tuned than in [[12edo]].
* It is the simplest mapping capable of tuning every [[9-odd-limit]] interval closer to just than in [[12edo]].
* It is the simplest mapping with the above property.
* 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.


It fails to be a panacea because:
It is not a panacea because:


* It has no proper MOS scales of between 3 and 16 notes.
* Its MOS scales of between 3 and 16 notes are all highly improper.
* 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.