Alpharabian tuning: Difference between revisions

elaborate more on approximation to 5-limit intervals
m Edited typo: 13 is supposed to be 11
 
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The '''Alpharabian tuning''' is the version of [[just intonation]] limited to the '''2.3.11 subgroup''' (a.k.a. ''ila'' in [[color notation]]). It consists of [[rational interval]]s where [[2/1|2]], [[3/1|3]], [[11/1|11]] are the only allowable [[prime factor]]s, so that every such interval may be written as a ratio of integers which are products of 2, 3 and 13; this makes it a rank-3 system.  
The '''Alpharabian tuning''' is the version of [[just intonation]] limited to the '''2.3.11 subgroup''' (a.k.a. ''ila'' in [[color notation]]). It consists of [[rational interval]]s where [[2/1|2]], [[3/1|3]], [[11/1|11]] are the only allowable [[prime factor]]s, so that every such interval may be written as a ratio of integers which are products of 2, 3 and 11; this makes it a rank-3 system.  


It is currently being pioneered in large part by [[Aura]], with significant parts of this research having been made almost two years earlier by [[User:Spt3125|Spt3125]].
It is currently being pioneered in large part by [[Aura]], with significant parts of this research having been made almost two years earlier by [[User:Spt3125|Spt3125]].