Tempered monzos and vals: Difference between revisions

Tmonzos and tvals are like regular monzos and vals, except they work in a space of tempered intervals (i.e. the intervals found in meantone) rather than in just intonation. A tval specifies a tuning or further temperament of the generators of a temperament (for example, the 31edo tval for meantone is {31 49}), and a tmonzo specifies a particular tempered interval in terms of stacking the tenperament's generators (for example, the tmonzo form of the major third in meantone is {-6 4}). Taking the [[Mathematical guide/Matrix operations|dot product]] of these (multiplying corresponding elements and adding up the results) yields the tuning of the major third in 31edo, 10\31.