Magic: Difference between revisions
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'''Magic''' is a 2.3.5 temperament that equates a stack of five 5/4 major thirds to one 3/1. It also equates 25/24 to 128/125, shrinking the difference between 5/4 and 6/5. | '''Magic''' is a 2.3.5 temperament that equates a stack of five 5/4 major thirds to one 3/1. It also equates 25/24 to 128/125, shrinking the difference between 5/4 and 6/5. | ||
== Extensions == | |||
Magic divides ~16/15 in half (the 25/24~128/125), so it easily extends to prime 31 (at +3 generators). Since in 7-limit Magic, the 16/15 is also a 15/14, we can also extend 7-limit Magic to add prime 29 (at +9 generators) by equating 16/15 to 31/29. | |||
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Revision as of 03:10, 1 March 2026
| Magic |
225/224, 245/243 (7-limit)
9-odd-limit: 5.9¢
9-odd-limit: 13 notes
Magic is a 2.3.5 temperament that equates a stack of five 5/4 major thirds to one 3/1. It also equates 25/24 to 128/125, shrinking the difference between 5/4 and 6/5.
Extensions
Magic divides ~16/15 in half (the 25/24~128/125), so it easily extends to prime 31 (at +3 generators). Since in 7-limit Magic, the 16/15 is also a 15/14, we can also extend 7-limit Magic to add prime 29 (at +9 generators) by equating 16/15 to 31/29.
