315/256: Difference between revisions

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Added info on it being a blue 5/4.
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The '''lazy third''', '''315/256''' is an incredibly good approximation to the [[16/13]] tridecimal neutral third, differing by only a [[4096/4095]] schismina. However, rather than being utonal like 16/13, it is otonal, being the 315th harmonic.  
The '''lazy third''', '''315/256''' is an incredibly good approximation to the [[16/13]] tridecimal neutral third, differing by only a [[4096/4095]] schismina. However, rather than being utonal like 16/13, it is otonal, being the 315th harmonic.  


The name could be derived from the fact that it is a surprisingly simple and accurate approximation of the 13th subharmonic, and so acts as a lazy way to approximate 13 in a 7-limit scale. It isn't. It's derived from the color notation (Lzy3). The accuracy and relative simplicity is merely a useful coincidence.  
The name could be derived from the fact that it is a surprisingly simple and accurate approximation of the 13th subharmonic, and so acts as a lazy way to approximate 13 in a 7-limit scale. It isn't. It's derived from the color notation (Lzy3). The accuracy and relative simplicity is merely a useful coincidence.
 
While this interval is neutral in size, its position close to the submajor area is evident in that it acts as a bluesy version of [[5/4]], from which it differs by [[64/63]].
 
[[Category:Third]]
[[Category:Third]]
[[Category:Neutral third]]
[[Category:Neutral third]]