Title

Regular Stars, Polygons, and Musical Scales

Date

5-26-2016 9:00 AM

End Time

26-5-2016 9:15 AM

Location

MNB 104

Department

Mathematics

Session Chair

Matthew Nabity

Session Title

Mathematics Senior Project Presentations

Faculty Sponsor(s)

Matthew Nabity

Abstract

Edge scales are musical scales constructed from the edges and vertices of a regular polygon. Regular polygons are polygons that have specific structure that can be constructed from regular stars. We will discuss this structure using elements of rational trigonometry and discuss regular stars of order n. A star of order 6 will be used to construct a regular hexagon and motivate the construction of an edge scale. Similar constructions can be used to make other types of musical scales such as stellation scales.

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May 26th, 9:00 AM May 26th, 9:15 AM

Regular Stars, Polygons, and Musical Scales

MNB 104

Edge scales are musical scales constructed from the edges and vertices of a regular polygon. Regular polygons are polygons that have specific structure that can be constructed from regular stars. We will discuss this structure using elements of rational trigonometry and discuss regular stars of order n. A star of order 6 will be used to construct a regular hexagon and motivate the construction of an edge scale. Similar constructions can be used to make other types of musical scales such as stellation scales.