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.

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]].

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.

[[Category:Third]]

[[Category:Neutral third]]

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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.
+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]].
-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.
 [[Category:Third]]
 [[Category:Neutral third]]