ratios

EXCELLENT — The Mathematical Problem with Music, and How to Solve It — “Performance is an art of compromise” – temperament, timbre, intonation, tuning, voice, tone

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Equal Temperament purpose — Divide octave into 12 equal intervals (ratios) to facilitate octave transposition on keyed / digital / discrete instruments. VIDEO DESCRIPTION / NOTES There is a serious mathematical problem with the tuning of musical instruments. A problem that even Galileo, Newton, and Euler tried to solve. This video is about this problem … Read more

Musical Mathematical Ratios and the Engineering of Consciousness – Alexandre Tannous – Free Your Mind Conference 3 (2015-04)

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Half-step has 100 cents. Western octave is 12 half-steps (tones, notes: C, C#, D, etc. Black and white keys on keyboard) Indian octave has 22 tones Persian and Arabic octave has 24 tones Turkish octave has 53 steps https://www.youtube.com/watch?v=u-rIRML75_I&list=PLfi4BBtYUMKz36guaSbV8F0I8gosT7eIw

Fractal geometry of music

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Abstract   Music critics have compared Bach’s music to the precision of mathematics. What “mathematics” and what “precision” are the questions for a curious scientist. The purpose of this short note is to suggest that the mathematics is, at least in part, Mandelbrot’s fractal geometry and the precision is the deviation from a log-log linear … Read more

Eric P. Dollard, On Music & Harmonics. Spokane, WA 2015

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Conversation with Telsa-scientist Eric P. Dollard. Interviewed by Charles Roland Berry & Yogi Robert Emin. This is a true story of suppressed technology. Some powerful people don’t want the rest of us to have access to new technology– unless of course those people can make billions of dollars from the rest of us. Professor Dollard … Read more

Some Solid (Three-dimensional) Geometrical Facts about the Golden Section

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Having looked at the flat geometry (two dimensional) of the number Phi, we now find it in the most symmetrical of the three-dimensional solids – the Platonic Solids. The five regular solids (where “regular” means all sides are equal and all angles are the same and all the faces are identical) are called the five … Read more

Vortex Based Mathematics Presentation starring Marko Rodin & Randy Powell — Enneagram of Gurdjieff

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Numerology, the number 9, and much more. A new way to conceptualize with number theory. Take any number (except divisible by 3) and double it, double it, double it, etc, six times, writing down each doubled result. Evaluate each doubled result, adding together the values of all digits; do this recursively until only a single … Read more