The structure of recognizable diatonic tunings / by Blackwood, Easley

Table of Contents: “…The Diatonic Scale in Pythagorean Tuning --…”
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The arithmetic of listening : tuning theory and history for the impractical musician / by Gann, Kyle

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The science of harmonics in classical Greece / by Barker, Andrew, 1943-2021

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The science of harmonics in classical Greece / by Barker, Andrew, 1943-2021

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Music : a mathematical offering / by Benson, D. J. 1955-

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Scientific method in Ptolemy's Harmonics / by Barker, Andrew, 1943-2021

Table of Contents: “…Introduction -- Reason and perception -- Pitch and quantity -- The ratios of the concords : (1) the Pythagoreans -- The ratios of the concords : (2) Ptolemy's hupotheseis -- Critique of Aristoxenian principles and conclusions -- Ptolemy on the harmonic divisions of his predecessors -- Melodic intervals : hupotheseis, derivations and adjustments -- Larger systems : modulations in music and in method -- The instruments -- The tests -- Harmonics in a wider perspective.…”
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Fuzzy optimization, decision-making and operations research : theory and applications /

Table of Contents: “…-- "How Measurement-Related Ideas Can Help Us Use Expert Knowledge When Making Decisions: Three Case Studies" -- "On Fusion of Soft and Hard Computing: Traditional ("Hard Computing") Optimal Rescaling Techniques Simplify Fuzzy Control" -- A novel fully interval-valued intuitionistic fuzzy multi-objective indefinite quadratic transportation problem with an application to cost and wastage management in the food industry -- Project Management using Network Analysis in Fuzzy Environment -- Generalized Hukuhara Global Subdifferentiability in Interval Optimization Problems -- Applying the Max-Min Concept to a Transportation Problem in Hexagonal Fuzzy Numbers -- Development of an interval picture fuzzy matrix game-based approach to combat cyberthreats in the healthcare sector -- Minimization of span in L¹3; 1º-labeling for a particular type of intersection graphs -- Generalized neutrosophic sets and their applications for aggregated operators based on diagnostic disease problem -- An application of neutrosophic graph in decision-making problem for alliances of companies -- Dombi Hamy Mean Operators Based on Complex Intuitionistic Fuzzy Uncertainty and Their Application in Multi-Attribute Decision-Making -- Linear Diophantine fuzzy information aggregation with multi-criteria decision-making -- Hyperbolic Fuzzy TOPSIS Method for Multi-Criteria Decision Making problems -- Advanced TOPSIS based College Selection MCGDM problem in Trapezoidal Pythagorean fuzzy Environment -- Identification and Classification of Prioritized Aczel-Alsina Aggregation Operators Based on Complex Intuitionistic Fuzzy Information and Their Applications in Decision-Making Problem -- Intuitionistic Fuzzy Approach for Predicting Maternal Outcomes -- Study of Fuzzy Fractional Caputo Order Approach to Diabetes model -- Decision Analysis Framework Based on Information Measures of T-Spherical Fuzzy Sets -- New Methods of Computing Correlation Coefficient based on Pythagorean Fuzzy Information and their Applications in Disaster Control and Diagnostic Analysis -- Multi-criteria group decision making q-Rung neutrosophic interval valued soft set TOPSIS aggregating operator for the selection of diagnostic health imaging -- Cosine neutrosophic normal interval-valued aggregation operators to the selection of robotic engineering -- An integrated weighted distance based approximation method for interval-valued spherical fuzzy MAGDM -- Investigating Some Parameters of Cubic Fuzzy Graphs and an Application in Decision-Making Problem -- Imperfect Production Inventory System Considering Effects of Production Reliability -- A Fuzzy EOQ Model with Exponential Demand and Deterioration with Preservation Technology -- An EOQ Model with Price and Stock Dependent Demand Including Trade Credit using De-intuitification Technique under Triangular Intuitionistic Fuzzy Environment -- A Study of an EOQ Model under Triangular Cloudy Fuzzy Neutrosophic Demand Rate -- An application of Intuitionistic fuzzy differential equation to the inventory model -- Solution of the second-order linear Intuitionistic fuzzy difference equation by extension principle scheme -- The Probabilistic games and the Shapley function.…”
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Scientific method in Ptolemy's Harmonics / by Barker, Andrew, 1943-

Table of Contents: “…The ratios of the concords: (1) the Pythagoreans -- 5. The ratios of the concords: (2) Ptolemy's hupotheseis -- 6. …”
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Choreographing history /

Table of Contents: “…Choreographing history / Susan Leigh Foster -- Toward a universal language of motion : reflections on a seventeenth-century muscle man / Stephen Greenblatt --Interval training / John J. MacAloon -- Christian conversion and the challenge of dance / P. …”
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Choreographing history /

Table of Contents: “…Choreographing history / Susan Leigh Foster -- Toward a universal language of motion : reflections on a seventeenth-century muscle man / Stephen Greenblatt -- Interval training / John J. MacAloon -- Christian conversion and the challenge of dance / P. …”
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Measured tones : the interplay of physics and music / by Johnston, Ian

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Development of modern statistics and related topics : in celebration of Prof. Yaoting Zhang's 70th birthday /

Table of Contents: “…An interview with Professor Yaoting Zhang / Qiwei Yao and Zhaohai Li -- Significance level in interval mapping / David O. Siegmund and Benny Yakir -- An asymptotic Pythagorean identity / Zhiliang Ying -- A Monte Carlo gap test in computing HPD regions / Ming-Hui Chen [and others] -- Estimating restricted normal means using the EM-type algorithms and IBF sampling / Ming Tan, Guo-Liang Tian and Hong-Bin Fang -- An example of algorithm mining: covariance adjustment to accelerate EM and Gibbs / Chuanhai Liu -- Large deviations and deviation inequality for kernel density estimator in L[symbol]-distance / Liangzhen Lei, Liming Wu and Bin Xie -- Local sensitivity analysis of model misspecification / Guobing Lu -- Empirical likelihood confidence intervals for the difference of two quantiles of a population / Yongsong Qin and Yuehua Wu -- Exponential inequalities for spatial processes and uniform convergence rates for density estimation / Qiwei Yao -- A skew regression model for inference of stock volatility / Tuhao J. …”
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Mathematical formulas for industrial and mechanical engineering / by Kadry, Seifedine, 1977-

Table of Contents: “…4.6 Table of Natural Trigonometric Functions4.7 Trigonometry Identities; Reciprocal Identities; Quotient Identities; Cofunction Identities; Pythagorean Identities; Sum and Difference of Angle Identities; Double Angle Identities; Half Angle Identities; Product to Sum; Sum to Product; Power Reducing Identities; 4.8 The Inverse Trigonometric Functions; Arc Sine; Arc Cosine; Arc Tangent; 4.9 Solutions of Trigonometric Equations; 4.10 Analytic Geometry (in the plane, i.e., 2D); 4.11 Vector; 5 Calculus; 5.1 Functions and Their Graphs; 5.2 Limits of Functions.…”
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