Defactoring: Difference between revisions

@@ Line 145: / Line 145: @@
 In addition to being canonical and defactored, DCF has other important properties:
-* It is integer, i.e. contains only integer terms.
+* '''integer''': contains only integer terms.
-* reduced
+* '''full-rank''': removes rank deficiencies, or in other words, rows that are all zeros
-* full-rank
+* '''preserves genuine unit-fraction-of-an-prime periods''': at first glance, when a pivot is not equal to 1, it might trigger you to think that the mapping is enfactored. But temperaments can legitimately have generators that divide primes evenly, such as 5-limit Blackwood, {{vector|{{map|5 8 0}} {{map|0 0 1}}}}, which divides the octave into 5 parts.<ref>Any form that enforces pivots all be 1's would fail this criteria.</ref>
-* more I think, check email
-### show the examples we tried, like in the big defactoring table
+=== illustrative examples ===
+### show the examples we tried, like in the big defactoring table
 == canonical comma-bases ==