159edo: Difference between revisions
m →Theory: Some paragraphing |
→Theory: another fact: there's only one patent val that tempers out all of the quartisma, the nexus and the 53-comma |
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In the 7-limit, it tempers out 1029/1024, 10976/10935, 117649/116640, 235298/234375 and [[Meter comma|703125/702464]] This makes it among other things an excellent tuning for [[Schismatic family #Guiron|guiron]] and [[Gamelismic clan #Tritikleismic|tritikleismic]] temperaments, as well as a possible tuning for metric temperament. | In the 7-limit, it tempers out 1029/1024, 10976/10935, 117649/116640, 235298/234375 and [[Meter comma|703125/702464]] This makes it among other things an excellent tuning for [[Schismatic family #Guiron|guiron]] and [[Gamelismic clan #Tritikleismic|tritikleismic]] temperaments, as well as a possible tuning for metric temperament. | ||
In the 11-limit, it tempers out not only [[385/384]], [[441/440]], [[3025/3024]], [[4000/3993]], [[4375/4356]], and [[6250/6237]], but | In the 11-limit, it tempers out not only [[385/384]], [[441/440]], [[3025/3024]], [[4000/3993]], [[4375/4356]], and [[6250/6237]], but both [[Nexuma|1771561/1769472]] and [[Quartisma|117440512/117406179]], which, in turn means that [[Symbiosma|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]], [[cantonisma|10985/10976]] and 13720/13689. | In the 13-limit it tempers out [[325/324]], [[364/363]], [[625/624]], [[676/675]], [[1001/1000]], [[1575/1573]], [[2080/2079]], [[cantonisma|10985/10976]] and 13720/13689. | ||