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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/unesp/360647
Title: 
3D Lambdoma
Author(s): 
Lesso, Drew
Language: 
eng
Description: 
  • The 3D lambdoma frequency-ratio matrix is a tool used in harmonics-the study of ratio and proportion, quality, and quantity. This lambdoma reveals a union of arithmetic rows expanding from front to back, harmonic columns contracting from left to right, and geometric diagonals expanding from smallest center to largest top. The lambdoma is limited here to an index 16 that can grow astronomically; harmonic practice requires that any distant ratio be reduced or expanded to a lower index for comparison. The visible 1/1 diagonal separates ratios greater than 1 and less than 1. The exchange of all ratios on either side of this 1/1 diagonal produces a string length lambdoma because frequency is inversely proportional to string length. The object of this Demonstration is primarily visual, yet it may be useful to note that lambdoma frequency ratios are constructed from rows of the overtone series (1/1, 2/1, 3/1, 4/1, ...) combined with columns of the undertone series (1/1, 1/2, 1/3, 1/4, ...)
  • Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática
Issue Date: 
  • 9-Sep-2008
  • 9-Sep-2008
  • 2008
  • 9-Sep-2008
  • 9-Sep-2008
Publisher: 
Wolfram
Keywords: 
  • Approximation Methods
  • Educação Superior::Ciências Exatas e da Terra::Matemática::Análise Complexa
Credits: 
This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Source: 
http://objetoseducacionais2.mec.gov.br/handle/mec/5186
URI: 
http://acervodigital.unesp.br/handle/unesp/360647
Rights: 
Demonstration freeware using Mathematica Player
Type: 
outro
Appears in Collections:MEC - Objetos Educacionais (BIOE) - OE

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