Linear dependence: Difference between revisions
Cmloegcmluin (talk | contribs) EBK updates |
Cmloegcmluin (talk | contribs) add link to concept of vanish / temper out |
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* {{vector|13 -10 0 1}} = {{vector|-6 2 0 1}} - {{vector|-19 12 0 0}} | * {{vector|13 -10 0 1}} = {{vector|-6 2 0 1}} - {{vector|-19 12 0 0}} | ||
These two basis matrices are the comma bases dual to the 7-limit [[uniform map]]s for 12-ET and 19-ET, respectively. {{vector|4 -4 1 0}} is the meantone comma and {{vector|13 -10 0 1}} is Harrison's comma, so we can say that both of these temperaments | These two basis matrices are the comma bases dual to the 7-limit [[uniform map]]s for 12-ET and 19-ET, respectively. {{vector|4 -4 1 0}} is the meantone comma and {{vector|13 -10 0 1}} is Harrison's comma, so we can say that both of these temperaments make both of these commas [[vanish]]. | ||
==== For a given set of basis matrices, how to compute a basis for their linearly dependent vectors ==== | ==== For a given set of basis matrices, how to compute a basis for their linearly dependent vectors ==== | ||