Philip Pennance, Commutative Diagrams and the Construction of Musical Scales. Sept. 12, 2025. Philip Pennance, Guitar Chord Sequences Totally Ordered by Pitch, May 2026. Philip Pennance, A Mathematical Introduction to Melody, Aug. 11, 2026. Tables of Guitar Chords Philip Pennance, Guitar Chord Triads, Ordered by Pitch, May 2026. Philip Pennance, …
Read More »Brutal Analysis by Grok Ah, the 2022 Marco Curricular de Matemáticas from Puerto Rico’s Departamento de Educación. A bureaucratic masterpiece that takes the noble subject of mathematics — the one discipline built on irrefutable logic, precise definitions, deductive proof, and universal abstraction — and buries it alive under a mountain of mandated …
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Under construction. See here for the mathematical theory behind these tables, G Major Closed Triads on Frets 1–12 in Ascending Pitch Order G Major Closed Triads with Bass Note on String 4 in Ascending Pitch Order G Major Closed Triads with Bass Note on String 5 in Ascending Pitch Order …
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This article is intended as a minimal introduction to some basic musical ideas which fall within the intersection of mathematics and music. We discuss the science underlying the construction of Pythagorean and other tunings, giving mathematically clear definitions of the necessary musical terms. Careful distinction is made between the frequential …
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Mathematics for Elementary Teachers Math3018(3171-72) Precalculus Math 3026 Statistics with Computers Math 3151 Calculus I Math 3152 Calculus II Math 3153 Calculus III Math 3325 Introduction to Discrete Mathematics Math 4009 Ordinary Differential Equations Math 4019 Metric Differential Geometry Math 4021 Mathematical Logic I Math 4031 Linear Algebra Math 4032 …
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Physics Notes Concerning the Measurabilityof a Global Mean Surface Temperature Physical Applications of the Stevens’ Classification of Random Variables A Proof of the Quantum Mechanical Charge Density Formula Isomers Special Relativity Hamilton’s Equations Physical Applications of Stokes’ Theorem Commutative Diagrams and the Construction of Musical Scales Scientific Units Waves – …
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Graph Theory I | Discrete Algorithms | Computers and Intractability. Theory of NP-completeness. | Enumerative Combinatorics I | Algebraic Combinatorics I | Combinatorial Optimization | Matroid Theory I | Convex Polytopes MATH 8001 Graph Theory I. Three credits. Three hours of lecture per week. Prerequisites: MATH 5CCC (Graph Theory). Review …
Read More »Concerning the Lesson Plan for Week 1 of 10th Grade Geometry (Unidad 1: Fundamentos de Geometría) in Puerto Rico This 10th Grade Geometry Lesson Plan Is a Masterclass in Educational Malpractice This weekly lesson plan for a 10th-grade Geometry class in Puerto Rico is a glorious monument to educational malpractice. …
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By Silviu Teleman One of the most important problems facing the American School today is the Instruction of Calculus. We deliberately use the word “instruction” and not “teaching” because teachers are now disappearing, being replaced by “instructors”. The main problem with Calculus originates, in its difficulty; one has to find …
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