Generator complexity: Difference between revisions
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{{Todo | {{Todo|inline=1| intro }} | ||
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== Definition == | == Definition == | ||
{{Todo|inline=1| rework | comment= Try explaining without wedgies. }} | |||
Suppose ''A'' = {{val| 0 ''a''<sub>3</sub> ''a''<sub>5</sub> ''a''<sub>7</sub> … ''a''<sub>''p''</sub> }} is the generator mapping [[val]] for a [[rank-2 temperament]] with ''P'' [[period]]s to the [[octave]], and ''B'' = {{val| 0 ''b''<sub>3</sub> ''b''<sub>5</sub> ''b''<sub>7</sub> … ''b''<sub>''p''</sub> }} is the same val in weighted coordinates. For instance, {{val| 0 1 -2 -2 }} is the generator mapping val for seven limit [[pajara]], and {{val| 0 1/log<sub>2</sub>(3) -2/log<sub>2</sub>(5) -2/log<sub>2</sub>(7) }} ≅ {{val| 0 0.631 -0.831 -0.712 }} is the val in weighted coordinates. For any vector '''v''', let | Suppose ''A'' = {{val| 0 ''a''<sub>3</sub> ''a''<sub>5</sub> ''a''<sub>7</sub> … ''a''<sub>''p''</sub> }} is the generator mapping [[val]] for a [[rank-2 temperament]] with ''P'' [[period]]s to the [[octave]], and ''B'' = {{val| 0 ''b''<sub>3</sub> ''b''<sub>5</sub> ''b''<sub>7</sub> … ''b''<sub>''p''</sub> }} is the same val in weighted coordinates. For instance, {{val| 0 1 -2 -2 }} is the generator mapping val for seven limit [[pajara]], and {{val| 0 1/log<sub>2</sub>(3) -2/log<sub>2</sub>(5) -2/log<sub>2</sub>(7) }} ≅ {{val| 0 0.631 -0.831 -0.712 }} is the val in weighted coordinates. For any vector '''v''', let | ||
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[[Category:Generator]] | [[Category:Generator]] | ||
{{Todo| add examples | {{Todo| add examples }} | ||