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Topic: Interpolation (music)

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	GIMP2 Video Demos
		That, however, introduces unsharpness caused by the interpolation.
		We try to compensate that using levels too on the quickmask which works most of the time.
		The quality has been enhanced by using new interpolation methods.
	jimmac.musichall.cz /gimp2demos.php?submenu=2 (819 words)

	Interpolation Summary
		Linear interpolation is the simplest form of interpolation where a function is estimated by drawing a straight line between the nearest neighboring given points on either side of a required position.
		Furthermore, the interpolant is a polynomial and thus infinitely differentiable.
		For instance, rational interpolation is interpolation by rational functions, and trigonometric interpolation is interpolation by trigonometric polynomials.
	www.bookrags.com /Interpolation (1462 words)

	Interpolation - from Wikipedia, the Free Encyclopedia
		Interpolation is a specific case of curve fitting, in which the function must go exactly through the data points.
		Furthermore, the interpolant is a polynomial and thus infinitely differentiable.
		For instance, rational interpolation is interpolation by rational functions, and trigonometric interpolation is interpolation by trigonometric polynomials.
	en.wikipedia.org /wiki/Interpolation (998 words)

	Interpolation
		The use of the term interpolation in mathematics was inspired in an obvious way by that concept, but is different: it refers to the approximation of a value of a function for which we only know values for a discrete set of values of the independent variable.
		Polynomial interpolation is a generalization of linear interpolation.
		In music, interpolation is an abrupt change of elements, with (almost immediate) continuation of the first idea.
	www.brainyencyclopedia.com /encyclopedia/i/in/interpolation.html (935 words)

	INTERACTION BETWEEN VOCAL (Site not responding. Last check: 2007-10-25)
		Art music is bound by a 'System', 'Sruti' and 'laya', i.e., remaining aligned to a basic pitch and maintaining a regular beat, are the requirements, not just of art music, but of any music in India.
		Music by itself means only the melodic edifice with or without the scaffolding of tala, created by the voice or tonal instrument, and does not include the drum part, In a South Indian concert performance the drumming supplies another dimension, and together with the melodic event, creates a larger, complex art form.
		In south Indian music tala-s are of two kinds-those which belong to the group of 35 tala-s and those which belong to a random collection of tala-s such as misra-capu and khanda-cap.
	www.indiamusicforum.com /seminar/toim/toim22.htm (3324 words)

	The Arts in France - French Music
		The chief musical forms of this period were the motet--now little resembling its medieval ancestor--and the cyclic mass.
		By the late 15th century musical supremacy was taken over by Flemish musicians; never again was French music to dominate as it had during the Middle Ages.
		The eclectic aspect of contemporary French music, which uses serialism, electronic music, and aleatory techniques, as well as Oriental and other non-Western modes, is largely due to the influence of composer Olivier Messiaen, who taught many of the major postwar composers, most notably Pierre Boulez.
	www.discoverfrance.net /France/Translations/DF_music-fr.shtml (1374 words)

	Digital-Inn - discussion reliability DAEquality test
		I always though that there was no interpolation nor muting, and that the noise that was decoded as a symbol (thus leading to error detection) was outputted raw.
		Interpolation should drastically reduce the difference level on this CD, that is a old dying CDR.
		Phillips tried very hard to keep everything to a linear interpolation (much of the interleaving is arranged to increase the linear interpolation region as much as possible - to 48 frames +2symbols to be precise) as the hold interpolation produces considerable high frequency hash (a sort of zinging sound).
	www.digital-inn.de /showthread.php?threadid=15838 (2937 words)

	Glossary
		A style of music derived in part from work songs used during slavery; a precursor and component of jazz.
		An underlying pattern behind a musical performance, consisting of a rhythmic component and perhaps a melodic riff as well.
		Any musical passage that occurs between choruses in an arrangement, whether between the head and the first solo, within a solo, between solos, or between the last solo and the return to the head
	outsideshore.com /school/music/almanac/html/glossary (3064 words)

	Long Gap Interpolation via LSP Polynomials
		The test signals are high quality musical excerpts including a single low-pitched piano tone and music genders such as pop, classical, and singing a capella.
		The degraded signals are restored through the original interpolation method presented in [10], [11], and [15] and via the proposed modified algorithm.
		For the original and modified interpolation schemes the length of the adjacent segments used to estimate the AR model is fixed at N = 2000 samples.
	www.acoustics.hut.fi /publications/papers/tassp-int (217 words)

	SOUND COMPRESSION/INTERPOLATION BY GRANULATION
		Sound granulation was originally proposed in 1946 for narrow band communication and has been applied for electro-acoustic music since 1970s.
		The technique has been applied for sound processing mainly for music composition [9][10], where as a similar technique called wavelet transformation is applied mainly for sound and image processing in engineering.
		By applying this technique, time-compression at the sender side and time-expansion at the receiver, sound compression and reconstruction with interpolation by granulation can be achieved.
	www.brunel.ac.uk /~eesttti/papers/aes108p.html (602 words)

	GEL2003 (Seminar) - Marcelo Mello Web (Site not responding. Last check: 2007-10-25)
		Meanwhile, the relationships between music and the human cognition have been raising a myriad of recent works in the most several correlate issues, which can be gathered under the generic term of musical cognition, or others of equal value.
		That is, the musical cognition will be prescribed starting from the present characteristics in the normal “music” that we knew, of the musical patterns established socially, of an preformed idea (idealization) of the musical contents.
		If a causal “needing” is stipulated between the musical perception and its objects, this causality doesn't seem to supply new data nor for a free interpolation between music and musicality (between musical elements and its psychological effects), nor for a contingent relationship with the language and the Linguistics, for besides a mere instrumentality.
	i.1asphost.com /marcelomello/mmgel2003_eng.htm (1670 words)

	Analysis, Resynthesis, and Interpolation of the Interior Noise of a Car (Site not responding. Last check: 2007-10-25)
		It is necessary to interpolate between given sounds as illustrated in figure 2.
		The shaded area in figure 2 shows where this kind of interpolation can not be used, because only one sound provides frames for the corresponding RPM values.
		The load interpolation of section 1.1 can be performed to obtain a set of new signal parameters and the sound resynthesis (see section 3.3) can be carried out.
	sinistra.spsc.tugraz.at /christian/feld_pub/an_dafx/html (1295 words)

	[music-dsp] Sine waves, Nyquist, sample rates confusion
		Fortunately, musical gear isn't played at "full code" on a CD, people put noise gates on their stomp boxes (and the "music" drowns masks the noise the rest of the time, just as the envelope does with VCAs for synths and samplers).
		But saying that "linear interpolation does not work on audio, it's just a complete failure as a method (well unless you oversample by better methods to an extreme degree before hand)" is being heavy handed.
		So, when you have an interpolation error at a certain frequency, you have to subtract how many dB that frequency is down in the source material to see the impact on the overall sound.
	www.music.columbia.edu /pipermail/music-dsp/2004-March/026346.html (968 words)

	Interpolation - baltimoresun.com (Site not responding. Last check: 2007-10-25)
		Many seem to think the four guys of Interpol are a gloomy bunch.
		Interpol's refocused energy, as showcased on the slightly retro punk single "Slow Hands," is more kinetic, even a little danceable.
		Interpol, whose contract with Matador expired when Antics hit the streets in September, has no immediate plans to record any time soon.
	baltimoresun.com /entertainment/bal-li.music24mar24,0,5610955.story?... (721 words)

	Pitch Shifter Project
		The similiarity between Indian Music and Western classical music begins in the fact that both possess seven basic notes, that serve as building blocks of all musical compositions.
		If resampling is done at a higher rate the given sample is zero packed and then interpolated using a FIR filter (the cut-off frequency of the filter is proportional to the new sampling rate).
		Interpolation is the process, by which the samples obtained by resampling (generally lesser then the original) are used to get back the sound signal, although of a different pitch.
	members.tripod.com /ananda_krishnan/ti1.htm (1149 words)

	INTERPOLATION
		Interpolation Interpolation is the process of obtaining a value from a graph or table that is located between major points given, or between data points plotted.
		Using the curve in the following example, the value of the dependent variable at 4.5 can be estimated by interpolating on the curve between the two data points given, resulting in the value of 32.
		Note that the interpolation is the process of obtaining a value on the plotted graph that lies between two given data points.
	www.tpub.com /doemathematics/mathematics64.htm (478 words)

	Software Documentation
		The input for the interpolation is a set of randomly-spaced two-dimensional coordinates with functional values at those coordinates; the output is a set of interpolated function values at coordinates in a user-specified rectangular grid.
		Interpolates a curve at a given point using a spline under tension.
		Interpolates a curve at a given point using a periodic spline under tension.
	stommel.tamu.edu /~baum/docs.html (3565 words)

	Makewavs - we reduce noise on records and tapes converted to cds
		Another common noise is that 'fuzz' sound made when the needle runs through a fingerprint (which is caused by deterioration of the vinyl from acids produced by the molds that grew on the oils of the fingerprint).
		It is very difficult to reduce the noise caused by the latter without compromising the sonic quality of the music itself, so we usually don't try.
		When this happens, the best corrective technique is to use the music on the other channel to replace the segment wiped out on the one channel by the pop.
	www.makewavs.com /noise-reduction.html (680 words)

	music
		The wave of sentimentality which swept the latter part of the nineteenth century in literature manifested itself in music which was ideal for the parlor.
		One of the first hits in the popular music field was After the Ball, written in 1892 by Charles K. Harris.X Other popular songs of the decade included The Band Played On, On the Banks of the Wabash, and Bicycle Built for Two.
		Popular music in America was beginning to emerge as an industry in the 1890s, as sheet music was demanded by pianists.
	www.bgsu.edu /departments/acs/1890s/ragmusic/music.html (778 words)

	Week 7
		In music this principle is reflected in that we tend to follow separate melodies even when they cross each other.
		In music this can be connected to the idea of tonality: The idea that certain pitches within a system of pitches (scales) serve as focal points for a piece (or section of a piece) of music.
		In music this is illustrated in the fact that no matter how complex or unpatterned a piece may be, some sort of pattern will be imposed by the listener based on his/her experience.
	www.ethnomusic.ucla.edu /courses/276/gestalt.htm (770 words)

	Salient Feature Extraction of Musical Signals
		In the "LPC vocal tract model", the resultant acoustical signal is represented via a noise signal and a sequence of pulses passed through a resonant all-pole filter, shaping the spectral envelope of the voice as shown in figure 2.12.
		The natural cubic spline Interpolation method is used in pinpointing the "actual" peak and hence its period, in the autocorrelation function.
		Amplitude modulation is frequently observed in musical instruments such as the violin, flute and saxophone (figure 2.26).
	www.music.princeton.edu /~park/thesis/dartmouth/html/ch2-3.html (1458 words)

	interpolation - OneLook Dictionary Search
		Interpolation : AMEX Dictionary of Financial Risk Management [home, info]
		Phrases that include interpolation: hermite interpolation, lagrange interpolation, polynomial interpolation, vandermonde interpolation approach, approximate interpolation, more...
		Words similar to interpolation: interjection, interpolate, interposition, more...
	www.onelook.com /?w=interpolation (320 words)

	[No title] (Site not responding. Last check: 2007-10-25)
		Multiple wavetable interpolation is a form of music analysis/synthesis.
		Optimized multiple wavetable interpolation is a new music analysis/- synthesis method introduced in the author's doctoral thesis that generalizes and optimizes multiple wavetable interpolation.
		The method uses a clustering algorithm to select a bank of wavetables such that the wavetables will be useful in matching the breakpoint spectra of a wide variety of harmonic tones played by various instruments.
	www.cs.ualberta.ca /TechReports/ABSTRACTS/TR02-19.abstract (278 words)

	The Music of Americans (Library of Congress Music, Theater, Dance: An Illustrated Guide)
		The Music Division's collection of American popular music is strong from the beginnings (whatever you may define those beginnings to be); for European and Latin American popular music its collection is strong from the 1920s on.
		The Music Division has one of the great collections of published music from the American musical theater; it also is the repository of the manuscripts of many of America's show composers.
		There is a great deal of music from the early minstrel stage, challenging the researcher in fl music to decide what is bona fide borrowing from fl originals and what is just white folks' jokes.
	www.loc.gov /rr/perform/guide/musamer.html (2372 words)

	Wavetable Music Synthesis (Site not responding. Last check: 2007-10-25)
		This last point is particularly important in synthesis applications such as karaoke equipment, where the musical key and tempo of a song may be selected by the user.
		Musical events which originally occurred at the same time must be sent one at a time in the MIDI data stream, and therefore these events will not actually be played at exactly the same time.
		With linear interpolation, interpolated value is simply the weighted average of the two nearest samples, with the fractional address used as a weighting constant.
	www.sfu.ca /sca/Manuals/247/midi/Wavetable.html (10543 words)

	Amazon.ca: Music: Comp Wks [BEST OF] (Site not responding. Last check: 2007-10-25)
		Varèse was caught in the chasm between the music of yesterday and the music of tomorrow: scoring music for modified theremin,...
		Edgard Varèse's music has been accorded only a marginal place in the mainstream musical community despite having long held a strong, resonant influence on many important creative musicians of the 20th century.
		Thus, a new release of his music is well deserved, particularly in light of the failures of earlier recordings to present Varèse's music with the necessary sound image.
	www.amazon.ca /exec/obidos/ASIN/B00000AFR8 (1835 words)

	Csound Magazine
		Linear interpolation is probably the most common type of interpolation encountered and is the easiest to implement.
		Without interpolation a step function is obvious and a lot of high frequencies show up in the spectrum.
		Sinc interpolation can be accomplished by adding together a number of sinc functions on both sides of the point being interpolated.
	www.csounds.com /ezine/summer2000/internals (1264 words)

	Students of Game Design--Linear Interpolation
		For instance, if we wanted a cannon to change its angle from 27 degrees to 90 degrees over the course of 7 frames, then we have a line that is 7 units long, with our initial value (27) at the left end and 90 at the right end.
		When we are interpolating linearly, our value is changing by the same amount with every step, so if we know the distance from one step to another, we don't have to do any hefty recalculations.
		We interpolate from the upper-left corner to the upper-right corner using standard 1-dimensional interpolation, and then we do the same thing from the bottom-left to the bottom-right.
	www.studentsofgamedesign.com /linearinterpolation.php (1200 words)

	Perpetual Technologies
		It's no surprise that many otherwise knowledgeable people are somewhat intimidated by interpolation or the process of substantially enhancing the resolution of a digital signal.
		And both are a long way from interpolation's ability to let us hear more of what's contained in the digital sources we use with increasing frequency today.
		Interpolation, at least as utilized in products by Perpetual Technologies, is a vastly different approach to improving the quality of our digital sources.
	www.goldenagemusic.se /swe/proaudio/perpetualtech/P1Alev3.html (4384 words)

	Spectral Interpolation
		An analysis/synthesis technique in which a musical tone is modelled as a set of harmonics with slowly varying amplitudes.
		This is a short paper on the spectral interpolation technique, documenting a conference presentation.
		To address these problems, we present an approach to music synthesis that relies on a performance model to generate musical control signals and an instrument model to generate appropriate time-varying spectra.
	www.cs.cmu.edu /People/rbd/bib-spectral.html (724 words)

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