270edo: Difference between revisions

Line 6:

In the [[5-limit]] it tempers out the ennealimma, {{monzo| 1 -27 18 }}, the [[vulture comma]], {{monzo| 24 -21 4 }}, and the [[Vishnuzmic family|vishnuzma]] or semisuper comma, {{monzo| 23 6 -14 }}.

In the [[7-limit]] it tempers out [[2401/2400]] and [[4375/4374]], so that it supports [[ennealimmal]] temperament; the [[wizma]], 420175/419904 and the [[landscape comma]], 250047/250000.

In the [[7-limit]] it tempers out [[2401/2400]] and [[4375/4374]], so that it supports [[ennealimmal]] temperament; the [[wizma]] (420175/419904) and the [[landscape comma]] (250047/250000).

In the [[11-limit]], it tempers out [[3025/3024]], [[5632/5625]], and [[9801/9800]], meaning it tempers the 4 smallest [[superparticular]] commas in the 11-limit (2401/2400, 3025/3024, 4375/4374 and 9801/9800). In addition to these, it also tempers out both [[~~Nexuma|~~1771561/1769472]] and [[~~Quartisma|~~117440512/117406179]], which, in turn means that [[~~Symbiosma|~~19712/19683]] is tempered out as well- or at least this is true for the default mapping.

In the [[11-limit]], it tempers out [[3025/3024]], [[5632/5625]], and [[9801/9800]], meaning it tempers the 4 smallest [[superparticular]] commas in the 11-limit (2401/2400, 3025/3024, 4375/4374 and 9801/9800). In addition to these, it also tempers out both [[nexus comma]] (1771561/1769472) and [[quartisma]] (117440512/117406179), which, in turn means that [[symbiosma]] (19712/19683) is tempered out as well- or at least this is true for the default mapping.

Finally, in the [[13-limit]] it isn't quite as accurate but still very accurate, as it tempers out [[676/675]], [[1001/1000]], [[1716/1715]] and [[2080/2079]], making it an [[The Archipelago|archipelago]] tuning, and the [[optimal patent val]] for some of the archipelago temperaments.

@@ Line 6: / Line 6: @@
 In the [[5-limit]] it tempers out the ennealimma, {{monzo| 1 -27 18 }}, the [[vulture comma]], {{monzo| 24 -21 4 }}, and the [[Vishnuzmic family|vishnuzma]] or semisuper comma, {{monzo| 23 6 -14 }}.
-In the [[7-limit]] it tempers out [[2401/2400]] and [[4375/4374]], so that it supports [[ennealimmal]] temperament; the [[wizma]], 420175/419904 and the [[landscape comma]], 250047/250000.
+In the [[7-limit]] it tempers out [[2401/2400]] and [[4375/4374]], so that it supports [[ennealimmal]] temperament; the [[wizma]] (420175/419904) and the [[landscape comma]] (250047/250000).
-In the [[11-limit]], it tempers out [[3025/3024]], [[5632/5625]], and [[9801/9800]], meaning it tempers the 4 smallest [[superparticular]] commas in the 11-limit (2401/2400, 3025/3024, 4375/4374 and 9801/9800).  In addition to these, it also tempers out both [[Nexuma|1771561/1769472]] and [[Quartisma|117440512/117406179]], which, in turn means that [[Symbiosma|19712/19683]] is tempered out as well- or at least this is true for the default mapping.
+In the [[11-limit]], it tempers out [[3025/3024]], [[5632/5625]], and [[9801/9800]], meaning it tempers the 4 smallest [[superparticular]] commas in the 11-limit (2401/2400, 3025/3024, 4375/4374 and 9801/9800).  In addition to these, it also tempers out both [[nexus comma]] (1771561/1769472) and [[quartisma]] (117440512/117406179), which, in turn means that [[symbiosma]] (19712/19683) is tempered out as well- or at least this is true for the default mapping.
 Finally, in the [[13-limit]] it isn't quite as accurate but still very accurate, as it tempers out [[676/675]], [[1001/1000]], [[1716/1715]] and [[2080/2079]], making it an [[The Archipelago|archipelago]] tuning, and the [[optimal patent val]] for some of the archipelago temperaments.