Posts Tagged: Susanne Langer

12 tone equal 17 tone unequal scale 31 tone 31 tone equal temperament 33/8 time additive sequence Adrian Fokker Alfred Korzybki algorithmic methods beat botanical children chromatic microtones combination product sets combinatorial math composer comprime grid continued fractions continuous tuning CPS scales dance David Wien degrees of freedom demonstration difference tones discreet mathematics documentary Dr. Warren Burt dream eikosany Emilie Conrad Emil Richards epistemology Erv Wilson Fibonacci numbers fractals freedom future directions in music Gary David generalized keyboard guita guitar harmonics harmonic series harp Harry Partch heavy metal Hexany higher arithmetic higher dimensional space Horogram infinities interval of equivalence interviews intonation irrational numbers Island of Anaphoria jazz John H. Chalmers Joseph Yasser just intonation Kraig Grady limits logarithms Marcus Hobbs master scale Meta-Ptolemy meter methods of thinking microtonal Microzone modern synthetic geometry moments of symmetry movement multi-dimensional geometry music musical creativity musical mathematics music theorist non-aristotelian systems number sequence numerical structures Octaval Spiral parallel universe Pascal's Triangle personal reflections philosophy physicist piano pitches pitch structures prime numbers projected geometry rap recurrent sequences rhythm Ron Sword rules sampled harp scale scale degree scale porjections Scales of Mount Meru Scale Tree scale unit scientist Sci Fi self-propagating semantics sonic sorcerer Sound of Feeling source scales Stephen James Taylor subtractive Euclidean algorithm Susanne Langer systems techno Tetradic Diamond The Sonic Sky three story analogy transcendent tonality triads tuning systems Vigo Brun Western Music Wilsonic iPad App