Equivalence continuum: Difference between revisions
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=== Example (7-limit rank-2 temperaments in 31edo) === | === Example (7-limit rank-2 temperaments in 31edo) === | ||
Let ux, uy, uz = 81/80, 126/125, 1029/1024 be the basis for the kernel of 7-limit 31edo. Then: | Let ux, uy, uz = 81/80, 126/125, 1029/1024 be the basis for the kernel of 7-limit 31edo. Then: | ||
* [[septimal meantone]] tempers out ux = (1, 0, 0) and uy = (0,1,0), thus corresponds to the plane z = 0. This corresponds to '''v''' = (0, 0, 1). | * [[septimal meantone]] tempers out 81/80 = ux = (1, 0, 0) and 126/125 = uy = (0,1,0), thus corresponds to the plane z = 0. This corresponds to '''v''' = (0, 0, 1). | ||
* [[hemithirds]] tempers out uz = (0, 0, 1) and 2ux + uy = (2, 1, 0). This corresponds to '''v''' = (1, -2, 0). | * [[hemithirds]] tempers out 1029/1024 = uz = (0, 0, 1) and 3136/3125 = 2ux + uy = (2, 1, 0). This corresponds to '''v''' = (1, -2, 0). | ||
[[Category:Math]][[Category:Theory]] | [[Category:Math]][[Category:Theory]] | ||
[[Category:Equivalence continua|*]] | [[Category:Equivalence continua|*]] | ||