N2D3P9: Difference between revisions

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'''<math>\~~text~~{~~N2D3P9~~}</math>''', ~~or Entoo-Deethree-Peenine~~, is a fictional character in the Star Wars franchise. In an alternative timeline, the young Anakin Skywalker assembles the droid N2D3P9 from the parts of three other droids: R2D2, C3P0 and NR-N99. We're only joking, but we hope this helps with remembering and pronouncing the name.

'''N2D3P9''' (Entoo-Deethree-Peenine) is a mathematical function which was developed to help in designing the [[Sagittal notation|Sagittal microtonal notation]]. Given a rational number <math>\frac{n}{d}</math> representing a pitch (relative to some tonic note), N2D3P9 estimates its rank in popularity among all rational pitches in musical use. A low value of N2D3P9 indicates that the ratio is used often, and so should have a simple accidental symbol, while a high value indicates that the ratio is used rarely and so can have a more complex symbol if necessary. It may also be useful in designing rational scales or tunings. The name "'''N2D3P9'''" is an abbreviation of key components of its formula, as described below.

As a mnemonic, you can imagine the name N2D3P9 comes from a fictional character in the Star Wars franchise. In an alternative timeline, the young Anakin Skywalker assembles the droid N2D3P9 from the parts of three other droids: R2D2, C3P0 and NR-N99. We're only joking, but we hope this helps with remembering and pronouncing the name.

'''<math>\text{N2D3P9}</math>''' is a mathematical function which was developed to help in designing the [[Sagittal notation|Sagittal microtonal notation]]. Given a rational number <math>\frac{n}{d}</math> representing a pitch (relative to some tonic note), <math>\text{N2D3P9}</math> estimates its rank in popularity among all rational pitches in musical use. A low value of <math>\text{N2D3P9}</math> indicates that the ratio is used often, and so should have a simple accidental symbol, while a high value indicates that the ratio is used rarely and so can have a more complex symbol if necessary. It may also be useful in designing rational scales or tunings. The name "'''N2D3P9'''" is an abbreviation of key components of its formula, as described below.

== Formula ==

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-'''<math>\text{N2D3P9}</math>''', or Entoo-Deethree-Peenine, is a fictional character in the Star Wars franchise. In an alternative timeline, the young Anakin Skywalker assembles the droid N2D3P9 from the parts of three other droids: R<span style="color:#FF0000">2D</span>2, C<span style="color:#FF0000">3P</span>0 and <span style="color:#FF0000">N</span>R-N9<span style="color:#FF0000">9</span>. We're only joking, but we hope this helps with remembering and pronouncing the name.
+'''N2D3P9''' (Entoo-Deethree-Peenine) is a mathematical function which was developed to help in designing the [[Sagittal notation|Sagittal microtonal notation]]. Given a rational number <math>\frac{n}{d}</math> representing a pitch (relative to some tonic note), N2D3P9 estimates its rank in popularity among all rational pitches in musical use. A low value of N2D3P9 indicates that the ratio is used often, and so should have a simple accidental symbol, while a high value indicates that the ratio is used rarely and so can have a more complex symbol if necessary. It may also be useful in designing rational scales or tunings. The name "'''N2D3P9'''" is an abbreviation of key components of its formula, as described below.
+As a mnemonic, you can imagine the name N2D3P9 comes from a fictional character in the Star Wars franchise. In an alternative timeline, the young Anakin Skywalker assembles the droid N2D3P9 from the parts of three other droids: R<span style="color:#FF0000">2D</span>2, C<span style="color:#FF0000">3P</span>0 and <span style="color:#FF0000">N</span>R-N9<span style="color:#FF0000">9</span>. We're only joking, but we hope this helps with remembering and pronouncing the name.
-'''<math>\text{N2D3P9}</math>''' is a mathematical function which was developed to help in designing the [[Sagittal notation|Sagittal microtonal notation]]. Given a rational number <math>\frac{n}{d}</math> representing a pitch (relative to some tonic note), <math>\text{N2D3P9}</math> estimates its rank in popularity among all rational pitches in musical use. A low value of <math>\text{N2D3P9}</math> indicates that the ratio is used often, and so should have a simple accidental symbol, while a high value indicates that the ratio is used rarely and so can have a more complex symbol if necessary. It may also be useful in designing rational scales or tunings. The name "'''N2D3P9'''" is an abbreviation of key components of its formula, as described below.
 == Formula ==