Divisions of the Tetrachord: A Prolegomenon to the Construction of Musical Scales |
Contents
Pythagoras and the arithmetic tradition | 7 |
The construction of new genera | 25 |
Classification characterization and analysis of tetrachords | 45 |
Copyright | |
3 other sections not shown
Common terms and phrases
Al-Farabi approximation Archytas Archytas's enharmonic Aristoxenian Aristoxenos AVICENNA cents chapter CHARACTERISTIC INTERVAL chords chromatic genera chromatic genus combinatorial interval complex consonant defined diatonic genera diatonic genus diezeugmenon disjunctive tone divisions Dorian Dorian mode enharmonic genus equable diatonic equal temperament Euler forms function genera geometric Greek music harmoniai harmonic hemiolic chromatic heptatonic scales hexany hypaton HYPERBOLAION hyperenharmonic hyperhypate Hypodorian HYPOLYDIAN HYPOPHRYGIAN INTENSE CHROMATIC INTENSE DIATONIC intonation Islamic lichanos Lydian major third mean tetrachord melodic mese meson metric microtonal MIXOLYDIAN modal determinant mode notes octave species OCTONY parhypate Partch pentachords PENTACHROMATIC perfect fourth Perfect Immutable System permutations PHRYGIAN pitch Polansky prime number Ptolemy pykna pyknon Pythagorean Pythagorean tuning ratios Schlesinger Schlesinger's SECOND INTERVAL semi-tempered semitone sequence soft chromatic SOFT DIATONIC subharmonic syntonic tempered tetrachords tetra tetrachordal scales tetrachords theorists theory tonic tonoi TRANSPOSITION AND INVERSION triad TRICHROMATIC trite synemmenon tritriadic scale tuning Vogel whole tone Winnington-Ingram 1936 ΙΟ