Temperament addition: Difference between revisions
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==Visualizing temperament arithmetic== | ==Visualizing temperament arithmetic== | ||
[[File:Sum diff and wedge.png|thumb|right|400px|A and B are vectors representing temperaments. They could be maps or prime count vectors. A∧B is their wedge product and gives a higher-[[grade]] temperament that [[merge]]s (sometimes called "meets" or "joins") both A and B. A+B and A-B give the sum and difference, respectively.]] | |||
===Versus the wedge product=== | |||
If the [[wedge product]] of two vectors represents the directed area of a parallelogram constructed with the vectors as its sides, then the temperament sum and difference are the vectors that connect the diagonals of this parallelogram. | |||
===Tuning and tone space=== | |||
One way we can visualize temperament arithmetic is on [[projective tuning space]]. | One way we can visualize temperament arithmetic is on [[projective tuning space]]. | ||