Hexany: Difference between revisions
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== Example == | == Example == | ||
Here is a step-by-step construction of the canonical 1-3-5-7 hexany (i.e. using [[1/1]], [[3/1]], [[5/1]], and [[7/1]] with | Here is a step-by-step construction of the canonical 1-3-5-7 hexany (i.e. using [[1/1]], [[3/1]], [[5/1]], and [[7/1]] with the smallest product as the root): | ||
# Multiply together each pair of intervals (to find the combinations):<br>{1 × 3, 1 × 5, 1 × 7, 3 × 5, 3 × 7, 5 × 7}<br> = {3, 5, 7, 15, 21, 35}; | # Multiply together each pair of intervals (to find the combinations):<br>{1 × 3, 1 × 5, 1 × 7, 3 × 5, 3 × 7, 5 × 7}<br> = {3, 5, 7, 15, 21, 35}; | ||
# Divide each product by the smallest element of the previous set (to base the scale on 1/1):<br>{3/3, 5/3, 7/3, 15/3, 21/3, 35/3}<br>= {1/1, 5/3, 7/3, 5/1, 7/1, 35/3}; | # Divide each product by the smallest element of the previous set (to base the scale on 1/1):<br>{3/3, 5/3, 7/3, 15/3, 21/3, 35/3}<br>= {1/1, 5/3, 7/3, 5/1, 7/1, 35/3}; | ||