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Topic: Interval cycles

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Pitch class

Coltrane changes

Scale (music)

Diatonic set theory

Meantone temperament

Diatonic scale

Melodic motion

Pitch space

Minor third

Equal temperament

Perfect fifth

Equivalence class

Major scale

Unison

Millennium Prize Problems

	Interval (music) - Wikipedia, the free encyclopedia
		An interval may be inverted, by raising the lower pitch an octave, or lowering the upper pitch an octave (though it is less usual to speak of inverting unisons or octaves).
		The inversion of a major interval is a minor interval (and vice versa); the inversion of a perfect interval is also perfect; the inversion of an augmented interval is a diminished interval (and vice versa); and the inversion of a double augmented interval is a double diminished interval (and vice versa).
		Interval cycles, "unfold a single recurrent interval in a series that closes with a return to the initial pitch class", and are notated by George Perle using the letter "C", for cycle, with an interval class integer to distinguish the interval.
	en.wikipedia.org /wiki/Interval_(music) (2188 words)

	Cycle - Open Encyclopedia (Site not responding. Last check: 2007-10-20)
		A cycle and a Hamiltonian cycle in graph theory.
		A cycle is an element of a homology class.
		Citric acid cycle, the Born Haber cycle or the Calvin cycle.
	open-encyclopedia.com /Cycle (321 words)

	Interval (music) -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-20)
		The interval number of a note from a given (Lime- or lemon-flavored carbonated water containing quinine) tonic note is the number of (Click link for more info and facts about staff position) staff positions enclosed within the interval, as shown at right.
		Two intervals are considered to be (Click link for more info and facts about enharmonic) enharmonic if they both contain the same ((baseball) the throwing of a baseball by a pitcher to a batter) pitches spelled in different ways; that is, if the notes in the two intervals are enharmonic with one another.
		Although intervals are usually designated in relation to their lower note, (Click link for more info and facts about David Cope) David Cope and (German neoclassical composer and conductor who believed that music should have a social purpose (1895-1963)) Hindemith both suggest the concept of interval root.
	www.absoluteastronomy.com /encyclopedia/i/in/interval_(music).htm (2764 words)

	INTERVAL (MUSIC) FACTS AND INFORMATION
		In just_intonation intervals are commonly labelled according to the ratio of frequencies of the two pitches.
		David_Cope (1997, p.40-41) suggests the concept of interval strength, in which an interval's strength, consonance, or stability is determined by its approximation to a lower and stronger, or higher and weaker, position in the harmonic series.
		Interval_cycles, "unfold a single recurrent interval in a series that closes with a return to the initial pitch class", and are notated by George_Perle using the letter "C", for cycle, with an interval class integer to distinguish the interval.
	www.bellabuds.com /interval_(music) (2095 words)

	EHP 104(4) Research Article: Kassam
		One cycle from the 77 ovulatory cycles had missing urine samples during the follicular phase and was not used in subsequent analysis by the cycles method but was evaluated using the interval method.
		Cycle A and cycle B are menstrual cycles, cycle C is an amenorrheic interval.
		The sensitivity of 75% for all cycles and 50% for the first cycle determined from the data in this study is probably an underestimate of the true sensitivity of the method, as indicated by further evaluation of the misclassified cycles.
	ehp.niehs.nih.gov /members/1996/104-4/kassam.html (4563 words)

	How to Plan Life-Tests for Optimum Cost-Benefit (MDDI archive, Feb 02)
		A small CI says you are confident the population metric is somewhere within a tight interval; that is, you know your distribution pretty well.
		A large CI means that you know only that the population metric is somewhere within a large interval; that is, you are confident that the true population is somewhere in that ballpark, but you don't know the underlying population very well.
		Intervalized data can also be manually plotted, with an excellent match to software results.
	www.devicelink.com /mddi/archive/02/02/003.html (4161 words)

	[No title]
		The number of cycles I impose on the loops is from earlier explorations.
		(cycle 4) row_loop............(initiation interval)..10 cycles (pipeline latency)..30 cycles (cycles 4 - 34) (exit) EXIT_L166................................
		(cycle 5) row_loop_2..........(initiation interval)..10 cycles (pipeline latency)..30 cycles (cycles 35 - 65) (exit) EXIT_L202................................
	akebono.stanford.edu /users/lucs/courses/ee319/project/report/haoChen.html (1127 words)

	Want a New Workout for the New Year? Try Interval Training.
		Interval training is a type of training technique that alternates bouts of high intensity work efforts followed by low intensity recovery periods.
		You can change the intensity and duration of each work interval, the duration and intensity of each recovery period, the number of interval cycles performed and the type of exercise for each of the work and recovery periods.
		Although, interval training has been shown to be a safe training technique, if you are new to this type of training, you should be aware of a few precautions.
	www.wellbridge.com /honolulu/pulse.php?ID=23 (622 words)

	published in SCIENCE
		In 1994, Muller (31) postulated that the sudden onset of the 100 k.y.
		cycle might have been be caused by an increase in the amount of interplanetary dust or meteoroids at that time.
		This cycle would be naturally suppressed, even when insolation is the dominant driving force of glaciation, if ice volume is not particularly sensitive to the north/south land mass asymmetry on the Earth.
	muller.lbl.gov /papers/sciencespectra.htm (3559 words)

	wikien.info: Main_Page (Site not responding. Last check: 2007-10-20)
		In music, interval cycles, "unfold a single recurrent interval in a series that closes with a return to the initial pitch class", and are notated by George Perle using the letter "C", for cycle, with an interval class integer to distinguish the interval.
		Cyclic tonal progressions in the works of Romantic composers such as Gustav Mahler and Richard Wagner form a link with the cyclic pitch successions in the atonal music of Modernists such as Bela Bartok, Alexander Scriabin, Edgard Varese, and the second Vienna school (Arnold Schoenberg, Alban Berg, and Anton Webern).
		Interval cycles are also important in jazz, such as in Coltrane changes.
	www.hostingciamca.com /index.php?title=Interval_cycle (243 words)

	Revelation 13: Time cycles in history: time patterns in the 20th century and before, and predictions of the future from ...
		We begin the 666 day intervals with the beginning of World War 1, because that is when the old world began to disappear and the rate of change in the world rapidly increased.
		This 666 day interval is very interesting, because the words in Revelation are: "count the number of the Beast: for it is the number of a man, and his number is 666".
		The 450 year disaster cycle: 450 is mentioned in 1 Kings in the Old Testament, where the prophet Elijah has a contest of who can bring thunderbolts down to earth, against the 450 false prophets of the false deity Baal, with the 450 prophets of Baal being destroyed.
	www.revelation13.net /int666.html (4925 words)

	American Fitness: Training Tips
		The duration of the exercise and recovery periods, as well as exercise intensity and the number of interval cycles, depends on an individual's fitness level and goals.
		With interval training, repeated bouts of high intensity work are performed with periods of recovery.
		The work/relief interval is expressed as a ratio.
	www.findarticles.com /p/articles/mi_m0675/is_5_19/ai_78255901 (1304 words)

	Commodity Traders Club Traders Ezine #83
		There are cycles in the weather, the economy, the sun, wars, geological formations, atomic vibrations, climate, human moods, the motions of the planets, populations of animals, the occurrence of diseases, the prices of commodities and shares and the large-scale structure of the universe.” Ray Tomes’ Cycles
		However, the reason many are unable to capitalize on using Cycles in trading is that they have not come to learn what actually makes up the patterns they see on their price charts.
		But even though the weather cycles may have a great affect on grains than perhaps the Meats, the Meats will be also be affected by weather cycles either directly or indirectly because of the connection between the Meats and the Grains.
	www.webtrading.com /traders-ezine-83.htm (3525 words)

	ipedia.com: The Rite of Spring Article (Site not responding. Last check: 2007-10-20)
		"'may also be explained in terms of interval cycles--more simply and coherently, in fact, than in terms of the traditional modes and scales.
		Like Density 21.5, it "implies the complete representation of each partition of the C3 interval cycle." C3 begins in the head motif's c-b-a and is completed by the main theme which immediately follows (see example above).
		However, "the otherwise atonal C3 cycle is initiated by a minor third that is plainly diatonic and tonal," (p.83) and thus The Rite of Spring has something in comm with No. 33 of Bartok's 44 Violin Duets, "Song of the Harvest", which, "juxtaposes tonal and atonal interpretations of the same perfect-4th tetrachord." (p.86)
	www.ipedia.com /the_rite_of_spring.html (887 words)

	[No title] (Site not responding. Last check: 2007-10-20)
		Parentheses delineate the cycles, and adjacent pitch classes within the parentheses (including the wraparound) are n-cycle adjacencies, each producing a single embedded interval-class n.
		This holds true for all cyclic fragments (i.e., incomplete n-cycles); in cases where a complete n-cycle is embedded in a set, the number of instances of interval n is equal to the period of the cycle, not the length minus one.
		Fragmentation of these cycles is not an issue, however, since it is only possible to have two non-adjacent fragments within the same 3-cycle, and both fragments could only be one-pc long, producing no ic3.
	theory.music.indiana.edu /t656/restricted/CSATV-CSATSIM.doc (6724 words)

	wk10l2b.htm (Site not responding. Last check: 2007-10-20)
		The sediment record is divided up into time intervals and for each interval the cycles analysis was done separately.
		So, for example, the time period from 660 years before present to now, shows periodicity in sedimentary deposit types at the cycle intervals of 5 and 7 years (in the El Nino band), as well as longer time interval cycles of 15 years and more.
		Notice that the El Nino bands cycles are present in the sediment record back to about 5000 years, and before that the sediment record shows fewer well developed cycles of any type (more random occurance of high rainfall deposits, or absence of such deposits); and no signs of El Nino band cycles.
	jove.geol.niu.edu /faculty/loubere/G488102b.htm (195 words)

	[No title]
		Some of these collections arise from interval cycles (as in the chord of alternating fourths and tritones which repeatedly appears in the first movement of his Turangalila-symphonie), others from the inherent symmetries of his modes of limited transposition (Messiaen: Technique de mon langage musical, Paris: A. Leduc, 1944.).
		Two prominent early collections of limited adjacencies are the 12-note chords that accompany the deaths of the title characters in Alban Berg's Wozzeck (ic's 3 and 4, symmetric) and Lulu (ic's 1, 5, and 6, asymmetric).
		Conservative linear decrement schemes distinguish different voicings of a given pc-set, but their vectors are still closer to each other than they are to those of other pc-sets, and even to those of voicings of other sets which display highly similar adjacency structures.
	www.societymusictheory.org /mto/issues/mto.94.0.10/mto.94.0.10.robison.art (2214 words)

	GSSRS-Ph.D. Students' Abstracts (Site not responding. Last check: 2007-10-20)
		These disconformity-bounded cycles can be traced regionally, but onto highs they form a series of thinned cycles with stacked disconformities, or even completely pinch out.
		Non-geologic sources associated with industrial or agricultural areas may also be contributing to the water chemistry results on a local level, however the regional patterns seen in both yields and water chemistry suggest that the bedrock is responsible for the mapped trends in the data.
		The cross-sections show that there are up to eight disconformity-bounded carbonate and carbonate-clastic cycles (5 to 75 meters thick) which can be traced across the basin despite the onset of major tectonic activity related to the Alleghenian orogeny to the east.
	www.geol.vt.edu /research/gssrs/phd.html (2995 words)

	Business Cycle Indicators (Site not responding. Last check: 2007-10-20)
		The related notions of product life cyclemanagement, Life cycle cost analysis, life cycle assessment and systems development life cycle.
		The Cremaster Cycle, a sequence of five films by MatthewBarney.
		Northern Homily Cycle, a poem from the 14thcentury
	www.swingdancemusic.com /send/35865-business%20cycle%20indicators.html (490 words)

	Spore strip reduced incubation time validaiton
		The BI spore strips are tested according to manufacturer's instructions within 60 minutes of removal from the sterilizer vessel and scored at approximate 24 hour intervals for 7 days.
		The number of BIs that grow out at each 24 hour interval are divided by the total number that grow by the 7th day, and are factored in the percentage calculation formula.
		The validated incubation interval is defined as the earliest interval that 97.0% or greater of the total BIs that grow by the 7th day are positive.
	www.nelsonlabs.com /sterilization/bi-redux.htm (768 words)

	COMBINATORIAL DYNAMICS AND ENTROPY IN DIMENSION ONE (Site not responding. Last check: 2007-10-20)
		This beautiful theorem describes the possible sets of periods of all cycles of maps of an interval into itself.
		Another direction has its main objective in measuring the complexity of a system, or the amount of chaos present in it.
		The aim of this book is to provide graduate students and researchers with a unified and detailed exposition of these developments for interval and circle maps.
	www.worldscibooks.com /chaos/1980.htm (225 words)

	Untitled Document (Site not responding. Last check: 2007-10-20)
		In this paper, I will begin by describing some of the criticisms that have been leveled against both traditional approaches, and I will posit a fundamentally different methodology that examines the way a pcset is partitioned with respect to the six distinct interval-cycles.
		The assumption behind the weighting process is that, for any SC X, the more that instances of interval-class i form a particular i-cycle, the more likely that realizations of X will project interval-class i.
		This new vector class and its associated similarity index will be explained methodically, and their usefulness will be illustrated through a series of analytic vignettes.
	www.societymusictheory.org /html/events/abstracts/smt-97.abstracts/buchler.html (210 words)

	[No title]
		Timestep (data interval) assumed ; constant between points in vector.
		For the timeseries given in the example, the influence is ; also limited to the points near the ends, but is more on the order ; of 1-6%.
		; - Nyquist frequency is +/- 0.5 cycles/data interval.
	www.johnny-lin.com /idl_code/lanczos_bandpass.pro (750 words)

	List of cycles (Site not responding. Last check: 2007-10-20)
		A wish list: if you're wishing you could make that next admissions cycle better, you can.
		Anders Jonas %C5ngstr%F6m - Astronomy - Aztec calendar - Eclipse cycle - Eclipse - Full moon cycle - Lunar phase - Milankovitch cycles - Mira - Moon - Orbit - Orbital period - Secularity - SETI - Sunspots
		Interval cycle - Physics of music - Rhythm - Song cycle
	hallencyclopedia.com /List_of_cycles (609 words)

	MAQ Bulletin, East and Southern Africa
		One hundred seven healthy volunteers with confirmed ovulatory cycles were randomly assigned to treatment groups with one of three new, low-dose COCs: monophasic gestadene (MG) with ethinyl estradiol (EE), triphasic gestadene with EE or monophasic desogestrel with EE.
		and follicular growth) during the extended pill-free interval was found, ovulation was not observed.
		Therefore, the risk of pregnancy for clients missing a pill early in the cycle or starting the pill a day or so late (beyond day 7) may not be as great as was formerly assumed.
	www.reproline.jhu.edu /english/4morerh/4maq/esa_2/esa02_e.htm (415 words)

	An analysis of chemotherapy dose and dose-intensity in small-cell lung cancer: lessons to be drawn -- Tjan-Heijnen et ...
		the interval between cycles, the cumulative dose and the DI all impact upon survival.
		cycles, the cumulative dose and the DI are all relevant for
		Six vs. twelve cycles for complete responders to chemotherapy in small cell lung cancer: definitive results of a randomized clinical trial.
	annonc.oxfordjournals.org /cgi/content/full/13/10/1519 (4945 words)

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