0edo: Difference between revisions
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The other way of looking at it is to see what happens as ''n'' gets smaller. At 1-edo you have one note per octave. At 0.5-edo you have 1/0.5 which is one note every two octaves. As ''n'' gets smaller you reach a point where you only have one note within an audible octave range and any other notes outside of this range. Taking this to its conclusion, and assuming you want 0edo to be defined, you would conclude that 0edo is just one note without any octaves. | The other way of looking at it is to see what happens as ''n'' gets smaller. At 1-edo you have one note per octave. At 0.5-edo you have 1/0.5 which is one note every two octaves. As ''n'' gets smaller you reach a point where you only have one note within an audible octave range and any other notes outside of this range. Taking this to its conclusion, and assuming you want 0edo to be defined, you would conclude that 0edo is just one note without any octaves. | ||
Being an example of a [[trivial temperament]], 0edo [[tempering out|tempers out]] all [[comma]]s and is [[consistent]] in all [[limit]]s. As a result of the step size of 0edo being infinite, the [[relative interval error|relative error]] of all intervals is zero. | |||
As a result of the step size of 0edo being infinite, the relative error of all intervals is zero. | |||
== Music == | == Music == | ||
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* [https://www.youtube.com/watch?v=WOjH42CwWFU ''8 Etudes and a Fantasy: No. 7. Intensely''] (1950) | * [https://www.youtube.com/watch?v=WOjH42CwWFU ''8 Etudes and a Fantasy: No. 7. Intensely''] (1950) | ||
[[Category:Limiting case]] | [[Category:Limiting case]] | ||