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Alien music engines That s a cool title, isn t it Makes you think about flying saucers and music truly from out of this world Well, guess what In the chief ways that establish music via instrument design, circuit-bending produces a different animal and a truly alien music engine In effect, the bent instrument opens a world of music that in theory, circuit design and, often, musical composition operate outside of human presumption And presumption in music is key When instruments are developed the first presumption is usually upon scale: What notes should it play In an instrument with set notes, such as a piano, this decision is crucial In a normalized synthesizer we also center design around, in most cases, the equal-tempered scale, those same 12 notes up and down the keyboard.

Some crystalline substances retain one- or two-dimensional long-range molecular order above the crystalline melting point Such substances are then described as being in the liquid crystal state They show the ow behavior of isotropic liquids but appear to possess some kind of long-range molecular order greater than the isotropic liquid state but less than the true crystal state Heating a thermotropic liquid crystal eventually results in its transformation to the liquid state at some temperature, Tlc;i , referred to as the liquid crystal isotropic phase transformation temperature for thermotropic liquid crystals Our understanding of lyotropic liquid crystals follows in a similar manner The action of solvent on a crystalline substance disrupts the lattice structure and most compounds pass into solution However, some compounds yield liquid crystal solutions that possess long-range ordering intermediate between solutions and crystal.

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The lyotropic liquid crystal can pass into the solution state by the addition of more solvent and/or heating to a higher temperature Thermotropic and lyotropic liquid crystals, both turbid in appearance, become clear when they pass itno the liquid and solution states, respectively Liquid crystal behavior is due chie y to molecular rigidity that excludes more than one molecule occupying a particular volume, rather than intermolecular attractive forces The requirement for a substance to exhibit liquid crystal behavior is molecular shape anisotropy, which is not affected by conformational changes Some biological molecules (eg, tobacco mosaic virus, polypeptides, and cellulose) are liquid crystals because of their rigid helical rod conformations This is not the case for synthetic polymers The typical polymer liquid crystal is a rigid-rod molecule (Theoretical studies indicate the molecular length must exceed the diameter by a factor greater than 6 [Flory and Ronca, 1979].

) Other anisotropic molecular shapes (eg, disks) also show liquid crystal behavior but these are much more rare for polymers Polymer liquid crystals typically show either smectic or nematic liquid crystal behavior These are shown in Fig 2-20, where each line ( ) represents a polymer molecule There is a parallel arrangement of the long molecular axes in both nematic and smectic liquid crystals Smectic liquid crystals are more ordered than nematic liquid crystals as a result of differences in the orientation of their molecular chain ends Molecular chain ends are coterminal (ie, lined up next to each other) in smectics but are out of register (ie, have no particular orientation) in nematics Another difference between smectic and nematic liquid crystals is that smectics are layered while nematics are seldom layered.

The French government has outstanding a long list of obligations with a wide variety of maturities, redemption terms, and conversion privileges. The range of yields at any one time can be wide. In spite of these complications and the consequent impossibility of settling on one series of yields as representing the going rate of long-term French interest, it is probably true to assert that French yields declined in the late 1950 s and in the early 1960 s and thereafter rose steadily to the early 1980 s. The yield pattern of the 1970 s, 1980 s, and 1990 s was similar to those of the United States and other Western European nations (see 29). Short-Term French Interest Rates. Short-term French interest rates are presented in Table 63 and Chart 58 in two groups: the discount rate of the Bank of France in terms of annual average and annual range; and, in the same terms, a succession of series called the open market rate of discount from 1900 to 1914, the private discount rate from 1925 through

(A third type of liquid crystal, cholesteric, involves nematic packing in planes with the molecular axes in each plane turned at an angle relative to those in the next plane, but is rarely observed in polymers) Smectic liquid crystals, being more ordered, are more viscous than nematics (everything else being equal) Microscopic observations are of prime importance in distinguishing nematic and smectic structures [Demus and Richter, 1978]..

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