N2D3P9: Difference between revisions
Dave Keenan (talk | contribs) Added "2,3-equivalent pitch ratio class" to the definitions preceding the 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. | '''<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. | ||
'''<math>\text{N2D3P9}</math>''' is a mathematical function which was developed to help in designing the [https://en.xen.wiki/w/Sagittal_notation Sagittal microtonal notation]. Given a pitch ratio <math>\frac{n}{d}</math>, <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, described below. | '''<math>\text{N2D3P9}</math>''' is a mathematical function which was developed to help in designing the [https://en.xen.wiki/w/Sagittal_notation Sagittal microtonal notation]. Given a pitch ratio <math>\frac{n}{d}</math>, <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 == | == Formula == | ||