N2D3P9: Difference between revisions

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How did we come up with that particular 5-rough notational-popularity ranking function?

From May to August 2020, a collaborative effort to find such a function, was carried out by members of the [http://forum.sagittal.org/ Sagittal forum], led by Sagittal co-creator [[Dave Keenan]] and [[Douglas Blumeyer]]. Many functions besides <math>\text{N2D3P9}</math> were considered before selecting it as the best function for its purpose.

From May to August 2020, a [http://forum.sagittal.org/viewtopic.php?f=4&t=493 collaborative effort] to find such a function, was carried out by members of the [http://forum.sagittal.org/ Sagittal forum], led by Sagittal co-creator [[Dave Keenan]] and [[Douglas Blumeyer]]. Many functions besides <math>\text{N2D3P9}</math> were considered before selecting it as the best function for its purpose.

Estimation of pitch ratio popularity is possible because it correlates with numeric simplicity. <math>\text{N2D3P9}</math> is most useful when comparing ranks of more complex ratios, because usage data about such ratios is sparse. By fitting a function to the statistical usage data which is available for simpler ratios, <math>\text{N2D3P9}</math> enables the extension of the patterns found in these simpler ratios.

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 How did we come up with that particular 5-rough notational-popularity ranking function?
-From May to August 2020, a collaborative effort to find such a function, was carried out by members of the [http://forum.sagittal.org/ Sagittal forum], led by Sagittal co-creator [[Dave Keenan]] and [[Douglas Blumeyer]]. Many functions besides <math>\text{N2D3P9}</math> were considered before selecting it as the best function for its purpose.
+From May to August 2020, a [http://forum.sagittal.org/viewtopic.php?f=4&t=493 collaborative effort] to find such a function, was carried out by members of the [http://forum.sagittal.org/ Sagittal forum], led by Sagittal co-creator [[Dave Keenan]] and [[Douglas Blumeyer]]. Many functions besides <math>\text{N2D3P9}</math> were considered before selecting it as the best function for its purpose.
 Estimation of pitch ratio popularity is possible because it correlates with numeric simplicity. <math>\text{N2D3P9}</math> is most useful when comparing ranks of more complex ratios, because usage data about such ratios is sparse. By fitting a function to the statistical usage data which is available for simpler ratios, <math>\text{N2D3P9}</math> enables the extension of the patterns found in these simpler ratios.