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Music Analysis, Volume 43, Issue 2, Page 247-301, July 2024.ABSTRACT In major‐minor tonality, V implies I, and rising fourths, falling thirds and rising seconds between successive chord roots are more common than falling fourths, rising thirds and falling seconds respectively. Possible explanations involve history (in two‐part medieval counterpoint, harmonic major sixths resolved to octaves – maintained in V–I);
RICHARD PARNCUTT
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Pythagorean Triples, Bézout Coefficients and the Erdős-Straus Conjeceture [PDF]
, 2021 Kyle Bradford
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Multiple Pythagorean Number Triples [PDF]
The American Mathematical Monthly, 1991 ALBERT FASSLER obtained his bachelor's degree in Mechanical Engineering at the HTL in Winterthur before he studied Mathematics at the Eidgenossische Technische Hochschule ETH in Zurich (Federal Institute of Technology). After graduation, he worked under Eduard Stiefel at the Seminar ffur Angewandte Mathematik (Seminar for Applied Mathematics) at the ...
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Sondheim and Weidman’s unintended trilogy
Critical Quarterly, Volume 66, Issue 4, Page 79-99, December 2024.
Kasia Boddy
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Pythagorean Triples and a New Pythagorean Theorem
, 2007 21 pages, 5 figures, 3 tables Repaired ...
Price, H. Lee, Bernhart, Frank R.
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Almost prime Pythagorean triples in thin orbits [PDF]
, 2011 Alex Kontorovich, Hee Oh
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Enhanced Sensing Capacity of Terahertz Triple-Band Metamaterials Absorber Based on Pythagorean Fractal Geometry. [PDF]
Materials (Basel), 2022 Mazare AG +9 more
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The differential measure for Pythagorean fuzzy multiple criteria group decision-making. [PDF]
Complex Intell Systems, 2023 Sharaf IM.
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