Relative errors of small EDOs: Difference between revisions
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The relative error of an interval in an [[edo]] is the error approximating [[JI]] divided by the size of a single step. The formula for closest mapping: ''error''(''n'', ''r'') = round (''n'' log<sub>2</sub>''r'') - ''n'' log<sub>2</sub>''r'', where ''n'' is the edo number and ''r'' is the frequency ratio. With closest mapping, the relative error ranges from -0.5 to +0.5. With patent val mapping, it can be farther from zero. | The relative error of an interval in an [[edo]] is the error approximating [[JI]] divided by the size of a single step. The formula for closest mapping: ''error''(''n'', ''r'') = round (''n'' log<sub>2</sub>''r'') - ''n'' log<sub>2</sub>''r'', where ''n'' is the edo number and ''r'' is the frequency ratio. With closest mapping, the relative error ranges from -0.5 to +0.5. With patent val mapping, it can be farther from zero. | ||