315/256: Difference between revisions

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| Color name = Lzy3, lazoyo 3rd

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The '''lazy third''', '''315/256''' is an incredibly good approximation to the [[16/13]] tridecimal neutral third, differing by only [[4096/4095]]. 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 is derived from the color notation (Lzy3). Coincidentally, it is also 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, although this is not the source of the name.

~~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]].

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 | Color name = Lzy3, lazoyo 3rd
 }}
+The '''lazy third''', '''315/256''' is an incredibly good approximation to the [[16/13]] tridecimal neutral third, differing by only [[4096/4095]]. 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 is derived from the color notation (Lzy3). Coincidentally, it is also 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, although this is not the source of the name.
-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]].