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To Frederik Magle, My best regards Mr. Magle, my name is Mario Pizarro. After twelve years of research and good results, let me offer to you the tone frequency ratios and details of the PIAGUI middle octave. From Lima, PERU, the best wishes to you and to your company...

Mathematical analyses were made to resolve the problem of the slight discordance produced by the equal-tempered scale. Some audiences who are able to distinguish discords detect small harmony imperfections. Tempered and Piagui chord waves, as well as chord wave peaks, are plotted to compare them...

The equal-tempered scale proposed in 1482 as a practical solution to discords was only introduced and applied 240 years later by J.S.Bach. Since then, this scale has ruled the tone frequencies in all variety of chords. Due to its simple conception, small imperfections in harmony are unavoidable...

The equal-tempered scale proposed in 1482 as a practical solution to discords was only introduced and applied 240 years later by J.S.Bach. Since then, this scale has ruled the tone frequencies in all variety of chords. Due to its simple conception, small imperfections in harmony are unavoidable...

I have set in my book: The Piagui Musical Scale: Perfecting Harmony, new concepts of the scientific basis of a new musical scale. The smallest comma M= (32805/32768)=1.00112915039 and the new J and U ones I detected, define a progression of 612 relative frequencies from note Do = 1 up to...