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Giambattista Benedetti
Giambattista (Gianbattista) Benedetti (14 August 1530 – 20 January 1590) was an Italian mathematician from Venice who was also interested in physics, mechanics, the construction of sundials, and the Music psychology, science of music. Science of motion In his works ''Resolutio omnium Euclidis problematum'' (1553) and ''Demonstratio proportionum motuum localium'' (1554), Benedetti proposed a new doctrine of the speed of bodies in free fall. The accepted Aristotelian physics, Aristotelian doctrine at that time was that the speed of a freely falling body is directly proportional to the total weight of the body and inversely proportional to the density of the medium. Benedetti's view was that the speed depends on just the difference between the relative density, specific gravity of the body and that of the medium. As opposed to the Aristotelian theory, his theory predicts that two objects of the same material but of different weights would fall at the same speed, and also that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Venice
Venice ( ; ; , formerly ) is a city in northeastern Italy and the capital of the Veneto Regions of Italy, region. It is built on a group of 118 islands that are separated by expanses of open water and by canals; portions of the city are linked by 438 bridges. The islands are in the shallow Venetian Lagoon, an enclosed bay lying between the mouths of the Po River, Po and the Piave River, Piave rivers (more exactly between the Brenta (river), Brenta and the Sile (river), Sile). As of 2025, 249,466 people resided in greater Venice or the Comune of Venice, of whom about 51,000 live in the historical island city of Venice (''centro storico'') and the rest on the mainland (''terraferma''). Together with the cities of Padua, Italy, Padua and Treviso, Italy, Treviso, Venice is included in the Padua-Treviso-Venice Metropolitan Area (PATREVE), which is considered a statistical metropolitan area, with a total population of 2.6 million. The name is derived from the ancient Adr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jean Taisnier
Jean Taisnier (or Taisner) (Latin: ''Johannes Taisnierius''; 1508, Ath, Habsburg Netherlands – 1562, Cologne), surnamed Hannonius (i.e., of the County of Hainaut), was a Wallonian musician, mathematician and astrologer who published a number of works and taught in various European cities and universities.H. Bosmans, 'Taisnier (Jean), érudit', ''Biographie Nationale (de L'Académie Royale de Belgique)'', Vol. XXIV: Steyaert-Thimus (Établissements Émile Bruylant, Bruxelles 1926-1929), cols 499-511. Read aAcademy pdf(academieroyale.be). In some sources he is mis-named Jean Fuisnier. He was for some time schoolmaster of the boys of the Chapel (''Sacellanus'') in the court of Emperor Charles V. By 1559 he styled himself "Poet Laureate" (a laureation of the Holy Roman Empire),'Jean Taisnier, Johannes Taisnier, Taisnerus (1508/9-?1589)', in J. Flood, ''Poets Laureate in the Holy Roman Empire: a Bio-bibliographical Handbook'', 4 vols (Walter de Gruyter, Berlin/New York 2011), IVp. 205 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Overtone
An overtone is any resonant frequency above the fundamental frequency of a sound. (An overtone may or may not be a harmonic) In other words, overtones are all pitches higher than the lowest pitch within an individual sound; the fundamental is the lowest pitch. While the fundamental is usually heard most prominently, overtones are actually present in any pitch except a true sine wave. The relative volume or amplitude of various overtone partials is one of the key identifying features of timbre, or the individual characteristic of a sound. Using the model of Fourier analysis, the fundamental and the overtones together are called Harmonic series (music)#Partial, partials. Harmonics, or more precisely, harmonic partials, are partials whose frequencies are numerical integer multiples of the fundamental (including the fundamental, which is 1 times itself). These overlapping terms are variously used when discussing the acoustic behavior of musical instruments.Alexander John Ellis, A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sensations Of Tone
''On the Sensations of Tone as a Physiological Basis for the Theory of Music'' (German ), commonly referred to as ''Sensations of Tone'', is a foundational work on music acoustics and the perception of sound by Hermann von Helmholtz. The first German edition was published in 1863. The English translation by Alexander J. Ellis was first published in 1875 (the first English edition was from the 1870 third German edition; the second English edition from the 1877 fourth German edition was published in 1885; the 1895 and 1912 third and fourth English editions were reprints of the second edition). The editions translated into English contain detailed commentary and notes (titled "Additions by the Translator") by Ellis. Helmholtz declared that he started working on his book in 1854, which concluded in 1862. Helmholtz started publishing on acoustics in 1852. His last article on acoustics was in 1878, reviewing the book by Lord Rayleigh (Theory of Sound). Therefore, Helmholtz published ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hermann Von Helmholtz
Hermann Ludwig Ferdinand von Helmholtz (; ; 31 August 1821 – 8 September 1894; "von" since 1883) was a German physicist and physician who made significant contributions in several scientific fields, particularly hydrodynamic stability. The Helmholtz Association, the largest German association of research institutions, was named in his honour. In the fields of physiology and psychology, Helmholtz is known for his mathematics concerning the eye, theories of vision, ideas on the visual perception of space, colour vision research, the sensation of tone, perceptions of sound, and empiricism in the physiology of perception. In physics, he is known for his theories on the conservation of energy and on the electrical double layer, work in electrodynamics, chemical thermodynamics, and on a mechanical foundation of thermodynamics. Although credit is shared with Julius von Mayer, James Joule, and Daniel Bernoulli—among others—for the energy conservation principles that e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marin Mersenne
Marin Mersenne, OM (also known as Marinus Mersennus or ''le Père'' Mersenne; ; 8 September 1588 – 1 September 1648) was a French polymath whose works touched a wide variety of fields. He is perhaps best known today among mathematicians for Mersenne prime numbers, those written in the form for some integer . He also developed Mersenne's laws, which describe the harmonics of a vibrating string (such as may be found on guitars and pianos), and his seminal work on music theory, '' Harmonie universelle'', for which he is referred to as the "father of acoustics". Mersenne, an ordained Catholic priest, had many contacts in the scientific world and has been called "the center of the world of science and mathematics during the first half of the 1600s" and, because of his ability to make connections between people and ideas, "the post-box of Europe". He was also a member of the ascetical Minim religious order and wrote and lectured on theology and philosophy. Life Mersenne was b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Isaac Beeckman
Isaac Beeckman (10 December 1588van Berkel, p10 – 19 May 1637) was a Dutch philosopher and scientist, who, through his studies and contact with leading natural philosophers, may have "virtually given birth to modern atomism".Harold J. Cook, in ''The Scientific Revolution in National Context'', Roy Porter, Mikuláš Teich, (eds.), Cambridge University Press, 1992, pages 127–129 Biography Beeckman was born in Middelburg, Zeeland, to a strongly Calvinistic family, which had fled from the Spanish-controlled Southern Netherlands a few years before. He had a strong early education in his home town and went on to study theology, literature and mathematics in Leiden. Upon his return to Middelburg he could not find a position as a minister, due to clashing ideas of his father and the local church, and decided to follow his father in the candle-making business, setting up his own company in Zierikzee. While trying to improve on the candle-making process, he also involved himself in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Height Function
A height function is a function that quantifies the complexity of mathematical objects. In Diophantine geometry, height functions quantify the size of solutions to Diophantine equations and are typically functions from a set of points on algebraic varieties (or a set of algebraic varieties) to the real numbers. For instance, the ''classical'' or ''naive height'' over the rational numbers is typically defined to be the maximum of the numerators and denominators of the coordinates (e.g. for the coordinates ), but in a logarithmic scale. Significance Height functions allow mathematicians to count objects, such as rational points, that are otherwise infinite in quantity. For instance, the set of rational numbers of naive height (the maximum of the numerator and denominator when expressed in lowest terms) below any given constant is finite despite the set of rational numbers being infinite. In this sense, height functions can be used to prove asymptotic results such as Baker's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sound
In physics, sound is a vibration that propagates as an acoustic wave through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the ''reception'' of such waves and their ''perception'' by the brain. Only acoustic waves that have frequency, frequencies lying between about 20 Hz and 20 kHz, the audio frequency range, elicit an auditory percept in humans. In air at atmospheric pressure, these represent sound waves with wavelengths of to . Sound waves above 20 kHz are known as ultrasound and are not audible to humans. Sound waves below 20 Hz are known as infrasound. Different animal species have varying hearing ranges, allowing some to even hear ultrasounds. Definition Sound is defined as "(a) Oscillation in pressure, stress, particle displacement, particle velocity, etc., propagated in a medium with internal forces (e.g., elastic or viscous), or the superposition of such propagated oscillation. (b) Auditory sen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Consonance And Dissonance
In music, consonance and dissonance are categorizations of simultaneous or successive sounds. Within the Western tradition, some listeners associate consonance with sweetness, pleasantness, and acceptability, and dissonance with harshness, unpleasantness, or unacceptability, although there is broad acknowledgement that this depends also on familiarity and musical expertise. The terms form a structural dichotomy in which they define each other by mutual exclusion: a consonance is what is not dissonant, and a dissonance is what is not consonant. However, a finer consideration shows that the distinction forms a gradation, from the most consonant to the most dissonant. In casual discourse, as German composer and music theorist Paul Hindemith stressed, : "The two concepts have never been completely explained, and for a thousand years the definitions have varied". The term ''sonance'' has been proposed to encompass or refer indistinctly to the terms ''consonance'' and ''dissonance''. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cipriano De Rore
Cipriano de Rore (occasionally Cypriano) (1515 or 1516 – between 11 and 20 September 1565) was a Franco-Flemish composer of the Renaissance, active in Italy. Not only a central representative of the generation of Franco-Flemish composers after Josquin des Prez who went to live and work in Italy, Rore was one of the most prominent composers of madrigals in the middle of the 16th century. His experimental, chromatic, and highly expressive style had a decisive influence on the subsequent development of that secular music form.Owens, Grove Online Life Early years Little is known of Rore's early life. His probable birth years (1515/1516) are known from his age at death (49, recorded on his tombstone in the cathedral in Parma), and his probable birthplace was a small town in Flanders, Ronse (Renaix), on the boundary between the French- and Dutch-speaking areas. Research has established that his parents were Celestinus Rore (died before 1564) and Barbara Van Coppenolle, and he had ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
