159edo: Difference between revisions

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In the 11-limit, it tempers out not only [[385/384]], [[441/440]], [[3025/3024]], [[4000/3993]], [[4375/4356]], and [[6250/6237]], but both [[Nexus comma|1771561/1769472]] and [[Quartisma|117440512/117406179]], which in turn means that [[Symbiotic comma|19712/19683]] is tempered out as well.
In the 11-limit, it tempers out not only [[385/384]], [[441/440]], [[3025/3024]], [[4000/3993]], [[4375/4356]], and [[6250/6237]], but both [[Nexus comma|1771561/1769472]] and [[Quartisma|117440512/117406179]], which in turn means that [[Symbiotic comma|19712/19683]] is tempered out as well.


In the 13-limit it tempers out [[325/324]], [[364/363]], [[625/624]], [[676/675]], [[1001/1000]], [[1575/1573]], [[2080/2079]], [[6656/6655]], [[cantonisma|10985/10976]] and 13720/13689.  This means that 159edo supports 13-limit [[Mercator family#Cartography|cartography]] temperament.  
In the 13-limit it tempers out [[325/324]], [[364/363]], [[625/624]], [[676/675]], [[1001/1000]], [[1575/1573]], [[2080/2079]], [[6656/6655]], [[cantonisma|10985/10976]] and 13720/13689.  This means, among other things, that 159edo supports 13-limit [[Mercator family#Cartography|cartography]] temperament.  


In the 17-limit tempers out [[273/272]], 375/374, 595/594, 715/714, [[936/935]], [[1089/1088]], [[1701/1700]], 8624/8619, [[11271/11264]] and 15379/15300.  
In the 17-limit tempers out [[273/272]], 375/374, 595/594, 715/714, [[936/935]], [[1089/1088]], [[1701/1700]], 8624/8619, [[11271/11264]] and 15379/15300.