October 5, 2020

On the Criteria in Harmonics. What is the Purpose of the Harmonicist? How Highness and Lowness in Sounds Exists. On Notes and Their Differences. On the . Ptolemy Harmonics: Translation and Commentary (Mnemosyne, Bibliotheca Classica Batava) [Robert D Novak Professor of Western Civilization and Culture Jon. Scientific method in Ptolemy’s Harmonics / Andrew Barker. p. cm. Includes bibliographical references and indexes. ISBN 0 5. 1. Ptolemy, 2nd cent.

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The work is a significant part of the early history of optics [39] and influenced the more famous 11th-century Book of Optics by Alhazen Ibn al-Haytham. Cambridge University Press, In the second part of the Geographyhe provided the necessary topographic lists, and captions for the maps. This attestation is quite late, however, and, according to Gerald Toomerthe translator of his Almagest into English, there is no reason to suppose he ever lived anywhere other than Alexandria.

Ptooemy astronomers had developed arithmetical techniques for calculating astronomical phenomena; Greek astronomers such as Hipparchus had produced geometric models for calculating celestial motions.

Analysis on h-Harmonics and Dunkl Transforms.

Catalog Record: Ptolemy Harmonics : translation and commentary | Hathi Trust Digital Library

Toomer, “Ptolemy or Claudius Ptolemaeus. One may very well remain unconvinced both by Barker’s initial arguments concerning Ptolemy’s methodology, and by his attempts to show that Ptolemy’s procedure in the Harmonics can count as a satisfactory instantiation. It is known from a speech by Eumenius that a world map, an orbis pictusdoubtless based on the Geographywas on display in a school in AugustodunumGaul in the third century.


This volume offers a comprehensive English translation and commentary of Ptolemy’s Harmonics.

The English translation faithfully reproduces Ptolemy’s style and includes all the charts surviving in the manuscript tradition. As a source of reference, the Tetrabiblos is said to have “enjoyed almost the authority of a Bible among the astrological writers of a thousand years or more”.

His Optics is a work that survives only in a poor Arabic translation and in about twenty manuscripts of a Latin version of the Arabic, which was translated by Eugene of Palermo c. Mnemosyne Supplements Online, Volumes The second is the Geographywhich is a thorough discussion of the geographic knowledge of the Greco-Roman world. He offered an obscure explanation of the sun or moon illusion the enlarged apparent size on the horizon based on the difficulty of looking upwards.

Ptolemy Harmonics Translation and Commentary Series: Barker provides a detailed analysis, together with an exposition of the historical and technical information needed for a non-specialist to follow harmonis his and Ptolemy’s argument. In lieu of an abstract, here is a brief excerpt of the content: The work is also important for the early history of harmojics. That it did not quite attain the unrivaled status of the Almagest was, perhaps, because it did not cover some popular areas of the subject, particularly electional astrology interpreting astrological charts for a particular moment to determine the outcome of a course of action to be initiated at that timeand medical astrologywhich were later adoptions.

A History of Mathematics: This is called Pythagorean tuning because it was first discovered by Pythagoras.

Harmonics | work by Ptolemy |

If you had a personal account on the old platform, click here. The methodological program Barker filters out of the text remains vague in a number of important respects. List of ancient Harjonics.


Concerning the possibility that Ptolemy might have been born in Ptolemais Hermiou, Toomer writes: See also Ancient Greek units of measurement and History of geodesy. How Highness and Lowness in Sounds Exists. For other uses, see Ptolemy name and Ptolemaeus disambiguation.

Barker’s analysis reveals inter alia that a considerable part of Ptolemy’s theory has no counterpart in the realm of phenomena perceived as musical, and that another part, concerning the single most important division of musical practice, is not justified, and not justifiable, by derivation from the principles.

One is rewarded with a detailed and in-depth analysis of the passages that helps one understand Ptolemy’s method in harmonics as it unfolds in his treatise.

Ptolemy Harmonics

Barker, now provide a basis for a more widespread discussion of this much neglected work. Of course, it was essential in such cases for the Egyptians to become “Hellenized,” to adopt Greek habits and the Greek language.

When switching from stadia per degree tohe or Marinos expanded longitude differences between cities accordingly a point first realized by P. Without cookies your experience may not be seamless. Retrieved from ” https: Two recent monographs, by J. EgyptRoman Empire.