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Author: Maria Renold
Publisher: Temple Lodge Publishing
ISBN: 1902636465
Category : Musical intervals and scales
Languages : en
Pages : 216
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Book Description
Why is it that certain intervals, scales, and tones sound genuine, while others sound false? Is the modern person able to experience a qualitative difference in a tone's pitch? If so, what are the implications for modern concert pitch and how instruments of fixed tuning are tuned? Renold tackles these and many other questions and provides a wealth of scientific data. Her pioneering work is the result of a lifetime of research into the Classical Greek origin of Western music and the search for modern developments. She deepens our musical understanding by using Rudolf Steiner's spiritual science as a basis, and she elucidates many of his puzzling statements about music. The results of her work include the following discoveries: The octave has two sizes (a 'genuine' sounding octave is bigger than the "perfect octave"). There are three sizes of "perfect fifths." An underlying "form principle" for all scales can be found. Equal temperament is not the most satisfactory method of tuning a piano. She provides a basis for some of Steiner's statements, such as, "C is always prime," and "C = 128 Hz = Sun." Here is a valuable resource for those who wish to understand the deeper, spiritual aspects of music.
Author: Maria Renold
Publisher: Temple Lodge Publishing
ISBN: 1902636465
Category : Musical intervals and scales
Languages : en
Pages : 216
Get Book Here
Book Description
Why is it that certain intervals, scales, and tones sound genuine, while others sound false? Is the modern person able to experience a qualitative difference in a tone's pitch? If so, what are the implications for modern concert pitch and how instruments of fixed tuning are tuned? Renold tackles these and many other questions and provides a wealth of scientific data. Her pioneering work is the result of a lifetime of research into the Classical Greek origin of Western music and the search for modern developments. She deepens our musical understanding by using Rudolf Steiner's spiritual science as a basis, and she elucidates many of his puzzling statements about music. The results of her work include the following discoveries: The octave has two sizes (a 'genuine' sounding octave is bigger than the "perfect octave"). There are three sizes of "perfect fifths." An underlying "form principle" for all scales can be found. Equal temperament is not the most satisfactory method of tuning a piano. She provides a basis for some of Steiner's statements, such as, "C is always prime," and "C = 128 Hz = Sun." Here is a valuable resource for those who wish to understand the deeper, spiritual aspects of music.
Author: Barry Wehrli
Publisher:
ISBN: 9780967382654
Category :
Languages : en
Pages : 120
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Book Description
Author: William Q. Meeker
Publisher: John Wiley & Sons
ISBN: 1118595165
Category : Mathematics
Languages : en
Pages : 813
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Book Description
Describes statistical intervals to quantify sampling uncertainty,focusing on key application needs and recently developed methodology in an easy-to-apply format Statistical intervals provide invaluable tools for quantifying sampling uncertainty. The widely hailed first edition, published in 1991, described the use and construction of the most important statistical intervals. Particular emphasis was given to intervals—such as prediction intervals, tolerance intervals and confidence intervals on distribution quantiles—frequently needed in practice, but often neglected in introductory courses. Vastly improved computer capabilities over the past 25 years have resulted in an explosion of the tools readily available to analysts. This second edition—more than double the size of the first—adds these new methods in an easy-to-apply format. In addition to extensive updating of the original chapters, the second edition includes new chapters on: Likelihood-based statistical intervals Nonparametric bootstrap intervals Parametric bootstrap and other simulation-based intervals An introduction to Bayesian intervals Bayesian intervals for the popular binomial, Poisson and normal distributions Statistical intervals for Bayesian hierarchical models Advanced case studies, further illustrating the use of the newly described methods New technical appendices provide justification of the methods and pathways to extensions and further applications. A webpage directs readers to current readily accessible computer software and other useful information. Statistical Intervals: A Guide for Practitioners and Researchers, Second Edition is an up-to-date working guide and reference for all who analyze data, allowing them to quantify the uncertainty in their results using statistical intervals.
Author: Christopher Canniff
Publisher:
ISBN: 9781927882672
Category :
Languages : en
Pages : 242
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Book Description
Nicholas Dixon lives with his mother and brother in London, England between the world wars. His father, Wilfrid, once with the First Battalion, First Canadian Regiment in the trenches of the Great War, now works in the coalmines of South Leeds and rarely returns to his family. Armed with his father's wartime journal, a spirited imagination, and a taste for insurgency, Nicholas embarks on a quest to reunite the family. A journey that will forever alter his perception of his father, leading Nicholas to confront his own cowardice. Inspired by multiple interviews with a former WWII British Commando, whose father was in the trenches of WWI, and through eighty-five letters sent home during WWI by the author's great-grandfather, Intervals of Hope explores duty, responsibility, cowardice, abandonment, and the disparate paths to becoming a man of honour. "Canniff's description is as powerful as any writer I have ever had in the Humber course." ---David Adams Richards, Governor General's Literary Award winner and co-winner of the Giller Prize. "The constant interplay between father's journal and son's actions was brilliant. Full of human interest and emotion. Can't praise it enough." --- Gordon Schottlander, Veteran, British Infantry, Royal Berkshire Regiment, WWII
Author: Douglas Altman
Publisher: John Wiley & Sons
ISBN: 1118702506
Category : Medical
Languages : en
Pages : 322
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Book Description
This highly popular introduction to confidence intervals has been thoroughly updated and expanded. It includes methods for using confidence intervals, with illustrative worked examples and extensive guidelines and checklists to help the novice.
Author: Robert Gordon Newcombe
Publisher: CRC Press
ISBN: 1439812799
Category : Mathematics
Languages : en
Pages : 463
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Book Description
Confidence Intervals for Proportions and Related Measures of Effect Size illustrates the use of effect size measures and corresponding confidence intervals as more informative alternatives to the most basic and widely used significance tests. The book provides you with a deep understanding of what happens when these statistical methods are applied
Author: Luc Jaulin
Publisher: Springer Science & Business Media
ISBN: 1447102495
Category : Computers
Languages : en
Pages : 382
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Book Description
At the core of many engineering problems is the solution of sets of equa tions and inequalities, and the optimization of cost functions. Unfortunately, except in special cases, such as when a set of equations is linear in its un knowns or when a convex cost function has to be minimized under convex constraints, the results obtained by conventional numerical methods are only local and cannot be guaranteed. This means, for example, that the actual global minimum of a cost function may not be reached, or that some global minimizers of this cost function may escape detection. By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered. This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book. The adventure started in 1991 with the preparation by Luc Jaulin of his PhD thesis, under Eric Walter's supervision. It continued with their joint supervision of Olivier Didrit's and Michel Kieffer's PhD theses. More than two years ago, when we presented our book project to Springer, we naively thought that redaction would be a simple matter, given what had already been achieved . . .
Author: W. B. Vasantha Kandasamy
Publisher: Infinite Study
ISBN: 1599731355
Category : Mathematics
Languages : en
Pages : 172
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Book Description
Author: Van-Nam Huynh
Publisher: Springer Science & Business Media
ISBN: 3540776648
Category : Mathematics
Languages : en
Pages : 381
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Book Description
This book contains the proceedings of the first International Workshop on Interval/Probabilistic Uncertainty and Non Classical Logics, Ishikawa, Japan, March 25-28, 2008. The workshop brought together researchers working on interval and probabilistic uncertainty and on non-classical logics. It is hoped this workshop will lead to a boost in the much-needed collaboration between the uncertainty analysis and non-classical logic communities, and thus, to better processing of uncertainty.
Author: Hung T. Nguyen
Publisher: Springer Science & Business Media
ISBN: 3642249043
Category : Mathematics
Languages : en
Pages : 412
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Book Description
In many practical situations, we are interested in statistics characterizing a population of objects: e.g. in the mean height of people from a certain area. Most algorithms for estimating such statistics assume that the sample values are exact. In practice, sample values come from measurements, and measurements are never absolutely accurate. Sometimes, we know the exact probability distribution of the measurement inaccuracy, but often, we only know the upper bound on this inaccuracy. In this case, we have interval uncertainty: e.g. if the measured value is 1.0, and inaccuracy is bounded by 0.1, then the actual (unknown) value of the quantity can be anywhere between 1.0 - 0.1 = 0.9 and 1.0 + 0.1 = 1.1. In other cases, the values are expert estimates, and we only have fuzzy information about the estimation inaccuracy. This book shows how to compute statistics under such interval and fuzzy uncertainty. The resulting methods are applied to computer science (optimal scheduling of different processors), to information technology (maintaining privacy), to computer engineering (design of computer chips), and to data processing in geosciences, radar imaging, and structural mechanics.
