Harmonics from the viola, cello and harp contribute toward the " hurdy-gurdy sound " Berio wanted to accompany this second song.

Ptolemy wrote about how musical notes could be translated into mathematical equations and vice versa in Harmonics.

Matsue worked alongside Hamauzu on the soundtrack to Final Fantasy VII as a soprano and Sigma Harmonics as a scat singer ; she was also a soprano for the score to Final Fantasy VIII & a lead vocalist in Final Fantasy XIII.

This is an important question, for before any science can be truly unfolded, so as to realise its full potentialities, it must first be reduced to its fundamental concepts .” These fundamental concepts were, he thought, at their simplest, the qualities of number manifesting in time ; and the search for some way of understanding these lead to the formulation of his theory of Harmonics: this presented, to those able to appreciate it, a far more subtle and refined way of studying the complex pattern of the numerous cycles which make up the world in which we live, breaking out as it did, of the limitations of the oversimplified twelvefold systems of western astrology.

This teaching was recorded by Philolaus ' pupil Archytas in a lost work entitled On Harmonics or On Mathematics, and this is the influence that can be traced in Plato.

Nicomachus (; c. 60 – c. 120 AD ) was an important mathematician in the ancient world and is best known for his works Introduction to Arithmetic ( Arithmetike eisagoge ) and Manual of Harmonics in Greek.

The age in which he lived ( c. 100 AD ) is only known because he mentions Thrasyllus in his Manual of Harmonics, and because his Introduction to Arithmetic was apparently translated into Latin in the mid 2nd century by Apuleius.

His Manual of Harmonics was addressed to a lady of noble birth, at whose request Nicomachus wrote the book, which suggests that he was a respected scholar of some status.

The practical development of Harmonics was facilitated by the coming age of computers – it is interesting to speculate how much more progress Addey would have made had he lived for a few more years into the era of personal computers, with all the ease of number crunching that they afford.

Addey wrote numerous articles – mainly for the Astrological Journal, many of which are now available in his Harmonic Anthology ( 1976, new edition, AFA, 2011 ) and Selected Writings ( AFA, 1976 ); his main work was Harmonics in Astrology ( 1975, latest edition, Eyebright Books, 2010 ).

Harmonics of this fundamental frequency are used to provide reference points.

Harmonics can be created by playing at varying distances on either side of the sweet spot.

Harmonics, translated and commentary by Jon Solomon.

* On tonoi ( Περὶ τόνων ): a brief quotation in Porphyry's commentary on Ptolemy's Harmonics, p. 78 Düring ( not edited by Wehrli )

Harmonics are achieved by lightly placing the left hand in the middle of the string while plucking on the right end of string.

The event began as a concert due to Ito's wish to host one based on his music, but after the space the organizing company, Harmonics International, rented turned out to be run by a high school classmate of Ito, at the classmate's insistence the discussions of Ito's music were added to the program.

The COC and its design team attempted to create the best natural acoustics possible, guided by acoustician Bob Essert of Sound Space Design and a team that included Aercoustics Engineering, Wilson Ihrig & Associates and Engineering Harmonics.

The album's title referred to the numerous contributions made to the album by guest artists, including Ill Harmonics, Pillar, John Reuben and Thousand Foot Krutch.

Harmonics, frequency, and voltage are examples of data captured by DFRs.

Ptolemy also wrote an influential work, Harmonics, on music theory and the mathematics of music.

Ptolemy also wrote influential work Harmonics on music theory.

Harmonics: It is also possible to play harmonics on the vibraphone.

Overtone Singing: Physics and Metaphysics of Harmonics in East and West.

The Harmonics of Aristoxenus ( Oxford ), Greek text with English translation and notes ( archive. org, Google Books )

Harmonics are the result of imperfections in the actual emission environment, which also create a broadening of the spectral lines.

In 2008, he composed the soundtrack to Sigma Harmonics with synthesizer programmer Mitsuto Suzuki rather than Yamazaki.

His commentary on Ptolemy's Harmonics ( Eis ta Harmonika Ptolemaiou hypomnēma ) is an important source for the history of ancient harmonic theory.

Others, badly wounded, gripped hands in manes, knees in bellies, held on as long as possible and then, weak from ghastly wounds, slipped sideways, slowly, almost thoughtfully, to be broken under the slashing hoofs.

Georgia's mental health program received a badly needed boost from the General Assembly in the form of a $1,750,000 budget increase for the Milledgeville State Hospital.

Letch had returned from his debacle unrepentant and more badly behaved than before.

In the period from 10 to 14 the permanent set of teeth is usually completed, yet the continuing growth of bony tissue makes moving badly placed teeth comparatively easy.

Board Chairman Howard Simpson of the Baltimore & Ohio Railroad Co., testified the B & O was in its worst financial condition since the depression years and badly needed the economic lift it would get from consolidation with the Chesapeake & Ohio Railroad.

During one such chase he was badly injured when he tumbled from a cliff, lying unconscious for about a day.

He suffered pain from the injury for the rest of his life and was badly scarred, styling his hair to disguise it as much as possible.

He later served in the Mesopotamian Campaign in Iraq, where he was badly wounded at El Hannah after being hit in the leg by shrapnel from an exploding shell while taking enemy trenches.

Díaz wrote that afterwards, Cortés suffered from insomnia due to guilt, and badly injured himself while wandering at night.

The cladding of red marble applied to the Aedicule by Komminos has deteriorated badly and is detaching from the underlying structure ; since 1947 it has been held in place with an exterior scaffolding of iron girders installed by the British Mandate.

Afterwards, Lieberman wrote a poem about the experience and shared it with Norman Gimbel, who had long been searching for a way to use a phrase he had copied from a novel badly translated from Spanish to English, " killing me softly with his blues ".

The English army suffered badly from disease, and Henry was not even present at the one notable victory, the Battle of the Spurs.

This was the high water mark of Roman territory in Britain: shortly after his victory, Agricola was recalled from Britain back to Rome, and the Romans retired to a more defensible line along the Forth-Clyde isthmus, freeing soldiers badly needed along other frontiers.

The first month in the Atlantic, the seas were not severe, but by the second month the ship was being hit by strong north-Atlantic winter gales causing the ship to be badly shaken with water leaks from structural damage.

Justinian also tried to find new routes for the eastern trade, which was suffering badly from the wars with the Persians.

He won from the front at the Dutch, French and Belgian Grands Prix, where title rival Moss was badly injured in a practice accident that put him out for two months.

This backfired badly on Luthor, as long-term exposure to kryptonite radiation from the ring gave him cancer, leading to the amputation of his hand and then apparent death ( although he was able to have his brain transplanted into a cloned body ).

Several foreign embassies and UN offices were badly damaged by vandals on 1 May 2011, drawing condemnation from the United Kingdom and Italy.

)" The spanish individualist anarchist Miguel Gimenez Igualada thought that "" capitalism is an effect of government ; the disappearance of government means capitalism falls from its pedestal vertiginously ... That which we call capitalism is not something else but a product of the State, within which the only thing that is being pushed forward is profit, good or badly acquired.

Although badly outnumbered, he escaped destruction from pursuing Bolshevik forces and laid siege to Ekaterinodar, the capital of the Kuban Soviet Republic, on 10 April.

However, this is only known from one badly damaged statue originating at Alba Iulia in Romania.

However Masuria was still largely agrarian-oriented and suffered from the economic decline after World War I, additionally badly affected by the creation of the Polish Corridor, which raised freight costs to the traditional markets in Germany.

After a heated argument in Bismarck's office Wilhelm, whom Bismarck had allowed to see a letter from Tsar Alexander III describing him as a " badly brought-up boy ", stormed out, after first ordering the rescinding of the Cabinet Order of 1851, which had forbidden Prussian Cabinet Ministers to report directly to the King of Prussia, requiring them instead to report via the Prime Minister.

Boniface was beaten badly and nearly executed, but was released from captivity after three days.