Mercator family: Difference between revisions

Line 15:

Badness: 0.2843

=~~Cartography~~ temperament=

=Schismerc 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.

As per the name, Schismerc 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. 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

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Badness: 0.0870

==~~Undecimal~~ Cartography==

==Cartography==

~~Undecimal~~ Cartography nails down the 7-limit by adding the [[symbiotic comma]] to the list of tempered commas.

Cartography nails down the 7-limit by adding the [[symbiotic comma]] to the list of tempered commas.

Commas: 19712/19683, 32805/32768

@@ Line 15: / Line 15: @@
 Badness: 0.2843
-=Cartography temperament=
+=Schismerc 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&amp;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.
+As per the name, Schismerc 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.  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
@@ Line 32: / Line 32: @@
 Badness: 0.0870
-==Undecimal Cartography==
+==Cartography==
-Undecimal Cartography nails down the 7-limit by adding the [[symbiotic comma]] to the list of tempered commas.
+Cartography nails down the 7-limit by adding the [[symbiotic comma]] to the list of tempered commas.
 Commas: 19712/19683, 32805/32768