Reduced mapping: Difference between revisions

A recent development specifically for rank-2 temperaments observes that the first entry of the generator-chain mapping is always zero, so it replaces the entry with the first entry of the ''first'' row of the mapping, which represents the number of periods per octave. It then separates the entry from the rest with a semicolon. For instance, the reduced mapping of magic is {{val| 1; 5 1 12 }}. This is the form of reduced mapping used in [[Template: Infobox regtemp]] on this wiki. Like above, the full mapping cannot be restored without some common sense, but the addition of the number of periods per octave can be helpful in the case of fractional-octave temperaments. To use it as a mathematical object, the first entry needs to be set back to zero.  

To make a mapping even more concise and readable, as well as unique, we can make the following reductions, which for the sake of example are done on the midnatssol temperament, which is