Species of Mind The Philosophy and Biology of Cognitive Ethology Colin Allen and Marc Bekoff Preface 1 Cognitive Ethology and Philosophy of Mind: An Interdisciplinary Approach Naturalism about the ...
Walter Piston's classic study of musical counterpoint.Descripción completa
Descripción: 2015
2015Full description
Walter Piston's classic study of musical counterpoint.
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plant species
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Hominid Species
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CounterpointDescripción completa
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Descripción: Maxy and Pettoruti versus Picasso Christiaan versus Christiaan Rem Koolhaas versus Isamu Noguchi Wallace Harrison versus Constantin Brancusi Julio Gonzalez versus Unknown Fang Artist
Tonal counterpoint of the 18th century
Study tonal counterpointFull description
Principles of Species Counterpoint Species First
Ratio* 1:1 (NOT wholenotes)*
Dissonance** None
Second
2:1 (3:1) (NOT halfnotes)*
Passing Tones
Third
4:1 (NOT quarternotes)*
Nota Cambiata (& Double Passing Tones)
Fourth
1:1 Ligatures
Suspensions
Fifth
Any
Neighbour Tones
*Remember that the species are defined by the number of notes in the counterpoint compared to the cantus firmus, not the absolute value. ** The dissonances listed in each species are not only permitted, but strongly recommend – the are the whole point of each species; use them as often as possible.
Guiding Principles (from which the rules are derived): 1. Treat perfect consonances very carefully. a. Avoid drawing attention to them (except beginnings and endings). b. Use them sparingly, and preferably not two of them in a row (even of different kinds). c. As much as possible, approach them by oblique or contrary motion, preferably by step. 2. Maintain independence of voices. a. Identical types of intervals should not be used twice in a row (specifically, perfect intervals). b. Similar intervals (like thirds and sixths) in a row should be limited (max 3). c. Climax tones should not correspond. d. Voices should not cross or overlap. 3. All parts should be singable. a. Keep the range to a tenth (a) within parts and (b) between parts. b. Avoid dissonant leaps (and leaps of M6). c. Turn around after large leaps. d. Minimise consecutive leaps; larger intervals below smaller intervals. e. Do not outline the tritone. 4. Ending formula. a. Rule of closest approach: Converge to perfect intervals from minor intervals. Diverge to perfect intervals from major intervals.