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| Keywords: Neo-Riemannian Tonnetz.svg thumb right This file uses w duodecimal duodecimal digits for the keys thumb right Intervals The Neo-Riemannian Tonnetz a triangular net with keys as vertices and triads as triangles The keys are denoted by their names but also the key numbers from 0 to 11 <br> With enharmonic equivalence this triangular net forms a torus and has 12 vertices and 24 triangles <br> Unlike many tori the left edge of the repeated parallelogram corresponds only to a part of the right edge B ™-D-F ™¯ Major triads are red minor triads are blue <br> Thin lines stand for minor thirds major sixths thicker lines for major thirds minor sixths The even thicker horizontal lines stand for fifths fourths The relationship between triads whose triangles are horizontal neighbours is also seen in the circle diagram on the left <br> R relatives like <span style color blue; >a</span>/<span style color red; >C</span><br> L leading-lone exchanges like <span style color red; >F</span>/<span style color blue; >a</span> or <span style color red; >C</span>/<span style color blue; >e</span> By vertical neighbours the Tonnetz expresses another relationship <br> P parallels like <span style color blue; >a</span>/<span style color red; >A</span> and <span style color blue; >c</span>/<span style color red; >C</span> Secondary operations can be constructed by combining these basic operations RLP N nebenverwandt like <span style color blue; >a</span>/<span style color red; >E</span> or <span style color blue; >f</span>/<span style color red; >C</span> LPR S slide like <span style color red; >A ™</span>/<span style color blue; >a</span> or <span style color red; >C</span>/<span style color blue; >c ™¯</span> LPL H hexatonic pole like <span style color red; >D ™</span>/<span style color blue; >a</span> or <span style color red; >C</span>/<span style color blue; >g ™¯</span> thumb left Neighbouring triads in a circle own Mate2code Printable version File Neo-Riemannian Tonnetz pdf thumb left 400px Only numbers Music diagrams with duodecimal signs Tonnetz Cc-zero QualityImage | ||||
