| 摘要 |
This invention provides a method of additive synthesis of sound wherein the amplitude A of a plurality of harmonics having frequency n*f, where f is the fundamental frequency and n is the harmonic number, is calculated by use of a formula selected from those belonging to the family described by Formula I: A(n)=P*[(1/na)(sin)( pi n(X%))b(cos( pi n(X%))c(sin( pi n(X'%))b'(cos( pi n(X'%))c'(sin( pi n(X''%))b''(cos( pi n(X''%))c'' . . . ]+Q*[(1/nd)(sin( pi n(Y%))e(cos( pi n(Y%))g(sin( pi n(Y'%))e'(cos( pi n(Y'%))g'(sin( pi n(Y''%))e''(cos( pi n(Y''%))g'' . . . ]+[I]wherein coefficients P; a; X, X', X'', etc.; Q; d; Y, Y', Y'', etc.; are real numbers, and coefficients b, b', b'', etc.; c, c', c'', etc.; e, e', e'', etc.; g, g', g'', etc. are non-negative integers; or Formula II: A(n)=P*[(1/na)x| sin( pi n(X%)|bx| cos( pi n(X%)|cx| sin( pi n(X'%)|b'x| cos( pi n(X'%)|c'x| sin( pi n(X''%)|b''x| cos( pi n(X''%)|c'' . . . ]+Q*[(1/nd)x| sin( pi n(Y%)|ex| cos( pi n(Y%)|gx| sin( pi n(Y'%))|e'x| cos( pi n(Y'%))|g'x| sin( pi n(Y''%))|e''x| cos( pi n(Y''%)|g'' . . . ]+[II]wherein coefficients P; a; X, X', X'', etc.; Q; d; Y, Y', Y'', etc.; are real numbers, and coefficients b, b', b'', etc.; c, c', c'', etc.; e, e', e'', etc.; g, g', g'', etc. are non-negative real numbers.
|
