Mercator family: Difference between revisions

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=Cartography temperament=
=Cartography temperament=
In terms of the normal comma list, Cartography is characterized by the addition of the schisma, 32805/32768, to Mercator's comma, which completely reduces all commas in the [[Schismic-Mercator equivalence continuum]] to the [[unison]], and thus, the 5-limit is exactly the same as the 5-limit of 53edo. Cartography can also be characterized as the 53&159 temperament, with [[212edo]] being a possible tuning.  It should be noted that the 7-limit is somewhat independent for this temperament and is only really fully nailed down in one way or another by extending to the 11-limit.
In terms of the normal comma list, Cartography is characterized by the addition of the schisma, [[32805/32768]], to Mercator's comma, which completely reduces all commas in the [[Schismic-Mercator equivalence continuum]] to the [[unison]], and thus, the 5-limit is exactly the same as the 5-limit of 53edo. Cartography can also be characterized as the 53&159 temperament, with [[212edo]] being a possible tuning.  It should be noted that the 7-limit is somewhat independent for this temperament and is only really fully nailed down in one way or another by extending to the 11-limit.


Commas: 32805/32768
Commas: 32805/32768
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==Undecimal Cartography==
==Undecimal Cartography==
Undecimal Cartography nails down the 7-limit by adding the symbiotic comma to the list of tempered commas.
Undecimal Cartography nails down the 7-limit by adding the [[symbiotic comma]] to the list of tempered commas.


Commas: 19712/19683, 32805/32768
Commas: 19712/19683, 32805/32768