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Topic: Maximal evenness

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	Maximal evenness - Wikipedia, the free encyclopedia
		Myhill's property, that there are two specific intervals for every generic interval, is maximally even, and both properties are true of the diatonic collection, for instance adjacent notes are separated only by half-tones and whole-tones (1 and 2).
		Diatonic triads and seventh chords possess second-order maximal evenness, being maximally even in regard to the maximally even diatonic scale but are not maximally even with regard to the chromatic scale.
		The musical theory of maximal evenness has been used as part of the Ising model especially in physics to model electron behaviour (Johnson 2003, p.144).
	en.wikipedia.org /wiki/Maximal_evenness (210 words)

	maximal evenness - property of a musical scale
		"Maximal evenness" assumes that the universe of possible intervals and pitches forms a finite set, and that all musical materials will be drawn from, and evaluated relative to, this set.
		Examples of maximally even scales in a universe of 12 pcs include 2-1-2-1-2-1-2-1 and 2-2-1-2-2-2-1, because they are, in a particular sense, the best approximations of 8-equal and 7-equal available in 12-equal.
		For maximal evenness, the definition here is in one respect different than with SHOW DATA: the difference in step sizes may not be greater than 1.
	tonalsoft.com /enc/m/maximal-evenness.aspx (549 words)

	Hierarchical Representations
		Maximal evenness is a concept developed in the study of pitch-class sets (Clough and Douthett, 1991).
		A common argument against this configuration is that the segment which spans four articulations of the basic cycle "naturally" devolves to 2+2, since the "duple" unit tends to persist in the listener's perception and anticipation.
		Maximal evenness provides a global rationale, one that assumes that the listener will gravitate towards the most parsimonious attending strategy.
	www.people.carleton.edu /~jlondon/hierarchical_representatio.htm (2635 words)

	Maxim Home
		Maximalism is a term used in literature, art, and music to apply to post-minimalist movements or works, named in analogy with minimalism.
		Maximalism is used to describe the very extended post-modern novels, such as those by David Foster Wallace and Thomas Pynchon, where digression, reference, and elaboration of detail occupy a greater and greater fraction of the text.
		Maximalism is used by some to describe composers such as John Luther Adams, who have "gone beyond" the origins of minimalist music.
	www.artistbooking.com /trips/134/maxim-home.html (774 words)

	[No title]
		Entries are identified by the residue type, spacing (number of amino acids between the identified positions), rank of the displayed spacing (e.g., 50 alanines in the sequence induce 51 spacings, ranked by decreasing length from 1 to 51), and p-value (probability of exceeding the displayed spacing).
		A maximal spacing with p-value 0.01 or less is considered significantly large; a maximal spacing with p-value 0.99 or larger is considered significantly small.
		Large maximal and small minimal spacings indicate clustering effects, whereas small max- imal and large minimal spacings indicate excessive evenness in the distri- bution of the residues.
	bioweb.pasteur.fr /docs/doc-gensoft/SAPS/testout_dflag (2080 words)

	Sound and Mind » ‘The nature of music from a biological perspective’
		Even if this is a momentary slip up, and note-classes and sustained, regular tones are still definitive of music for Peretz, they cannot be explicitly musical.
		And given the complexity of music (even just the grouping of sounds into tones), and the vast number of neural systems at work in musical creation and processing, it is possible that such a bottom-up approach is actually more to the point.
		Even if the influence of love on partner choice varies from culture to culture, what the Western experience strongly suggests is that the major purpose of love (i.e.
	soundandmind.amsteg.org /?p=22 (2760 words)

	[Smt-talk] Dogmas 3,4 - GIS - Interval fields - metaphor
		Even though you've sworn off discussion, I'll answer the questions because other people might be interested in these questions.
		The best way to do this is to measure the evenness of chord X in terms of the size of the (bijective) voice leading from X to the truly even chord of the same cardinality.
		Note that they are more even than the diminished triad, even though they all belong to the same diatonic set class.
	www.societymusictheory.org:16080 /pipermail/smt-talk/2005-September/002720.html (641 words)

	Definition of maximal
		The whole-tone scale is also maximally even, for instance adjacent notes are seperated...
		to the maximally even diatonic scale but are not maximally even with regards to the chromatic scale.
		Then the whole set has ''a'' as a single maximal element that is not the greatest element.
	www.wordiq.com /dictionary/maximal.html (739 words)

	[No title]
		Even calculating the ratios of a purely diatonic progression such as I-IV-ii-V-I is a futile exercise; in any meantone temperament, including 12-equal, the musical reality obliterates all distinctions between varying quantifications of the above progression, and is more beautiful than any of them to boot.
		To claim (as many would) that the arithmetical construction is more valid than the musical reality is to cease to have any relevance for the realm of music and to engage in a meta-musical game reminiscent of the worst excesses of serialism.
		Even under Partch's own (odd) definition, Partch's music was 11-limit, not 33-limit nor some product of powers of numbers through 11.
	members.tripod.com /~tuning_archive/Mills/html/s___6/msg_5000-5199.html (5921 words)

	GENETIC EROSION ISSUES IN TEMPERATE GRASSLANDS (Site not responding. Last check: 2007-11-07)
		Moreover, wild populations of the same species are often found adjacent to sown cultivars, and may even be present in the soil seedbank of the same field.
		This represents a major loss of evenness of the distribution of different grassland communities, since the grassland communities characteristic of soils and climates where production can be readily improved are now all rare.
		The most severe past problems are probably the simplification of the agricultural grassland system and the failure of many past collecting expeditions to sample populations in a manner appropriate to their biology and ecotypic variation.
	apps3.fao.org /wiews/Prague/Paper7.jsp (5521 words)

	NationMaster - Encyclopedia: Myhill's property
		In diatonic set theory Myhill's property is the quality of scales or collections with exactly two specific intervals for every generic interval, and thus also have the properties of maximal evenness, cardinality equals variety, structure implies multiplicity, and be a well formed generated collection.
		Diatonic set theory is a subdivision or application of musical set theory which applies the techniques and insights of set theory to properties of the diatonic collection such as maximal evenness, Myhills property, well formedness, the deep scale property, cardinality equals variety, and structure implies multiplicity.
		In diatonic set theory a specific interval is the shortest possible clockwise distance between pitch classes on the chromatic circle (interval class), in other words the number of half steps between notes.
	www.nationmaster.com /encyclopedia/Myhill's-property (278 words)

	Lecture 18 (4 April) - Diversity Assessment
		Nevertheless, there are some very low diversity, possibly monodominant (or even some monospecific), tropical forests.
		The latter 1) often typify unusual edaphic ("of the soil") situations, or 2) are seral forests established after disturbance events.
		Shannon’s index (H’) is the negative sum across all species of the species proportion times the natural log of the species proportion for each species.
	fig.cox.miami.edu /~djanos/bil336_02/4_apl.html (440 words)

	Client Programs
		It should be a rational number between 0 and 1, which expresses the ratio of the distance between the new vertex and the stacked facet, to the maximal possible distance.
		The maximal and minimal values, which are attained by the objective function, as well as the minimal and the maximal face are written into separate sections.
		Maximal and minimal affine vertices are colored as specified.
	cgm.cs.mcgill.ca /labdocs/polymake-1.5.1/apps/polytope/clients.html (3903 words)

	Co-existing Disease
		Expiratory reserve volume (ERV): maximal gas volume that can be exhaled following a normal expiration; normal values for ERV approximate 1 L. Residual volume (RV) gas volume remaining in the lungs following forced exhalation; normal RV values approximate 1.5 L. Vital capacity (VC) is the maximal gas amount they can be exhaled following maximal inhalation.
		Maximal, rapid, inhalation is then performed back to total lung capacity.
		Closing volume is defined as the gas volume expelled during phase IV of the single-breath nitrogen test-reflecting the lung volume from the beginning of airway closure to the end of maximal expiration.
	www.pharmacology2000.com /Co-Existing_Disease/co_exist2a.htm (3867 words)

	Community descriptors
		S), but also on the evenness (E); if all species are equally abundant (E max) then diversity is high, but if one species is especially abundant and the rest are rare (E min) then diversity is low.
		The Inverse Index is conceptually useful, as its maximal value when all species are evenly represented equals S, the value you get for any sample could be interpreted as "the number of species there are effectively if they were evenly abundant/important".
		Note that the maximal value of Dominance equals 1, when there is only one species present.
	www.david.curtis.care4free.net /specdiv.htm (499 words)

	Analyses supported by IAN (as of October 7th, 2004)
		It is estimated by determining the image’s departure from maximal diversity.
		Dominance is a measure of the degree to which an image departs from maximal diversity as defined by Shannon.
		Dominance is a measure of the degree to which an image departs from maximal diversity as defined by [Shannon 62].
	landscape.forest.wisc.edu /projects/ian/analyses.htm (2567 words)

	DIATONIC SCALE FACTS AND INFORMATION (Site not responding. Last check: 2007-11-07)
		The modern Western concept of diatonicism developed from the writings of Guido d'Arezzo; diatonic scales are therefore sometimes referred to as ''Guido scales''.
		There is significant evidence that the evolution of the diatonic scale is natural, because it is based on the most basic harmonics of any scale's first note, and that it has actually occurred many times over the course of human history.
		There is even circumstantial evidence that a flute used by neanderthals about 40,000 years ago and found at Divje Babe played the diatonic scalehttp://www.greenwych.ca/fl-compl.htm, and that a song recorded on a clay tablet in ancient Syria was written in it, 3,400 years ago.
	www.gottaorderflowers.com /Diatonic_scale (657 words)

	AFTER FREE VERSE: THE NEW NON-LINEAR POETRIES (via CobWeb/3.1 planetlab1.tamu.edu) (Site not responding. Last check: 2007-11-07)
		To call such poetry "free verse" is not quite accurate, for something is certainly being counted in these little block-like stanzas, even if it is neither stress nor syllable but word.
		Lines linear outline, clear boundaries' effect, notice the package from its perimeter, consistency, evenness, seemingly internal contours which end up packaging the insides so that they can react or point or be subordinated to a homogenized unit, to what's outside.
		But note that it never even occurs to the editors to include Canadian poets or poets of other English-speaking countries; their chauvinism is characteristic of the U.S.-centered imperialist ethos of the 60s.
	www.wings.buffalo.edu.cob-web.org:8888 /epc/authors/perloff/free.html (7363 words)

	airbrush tanning, spray on tan, tanning spray, airbrush tan, mist on tan, air brush tanning, airbrush tanning system, ...
		Maximal darkening may take 8-24 hours to develop.
		Some application techniques to achieve a maximal DHA tan are: Prepare skin by cleansing then by exfoliating using a loofah or exfoliant.
		Apply to skin in thin layers wherever you want color, less to thicker skin, as color is maintained longer in these areas.
	www.thetanningstore.com /TWMPDHA.aspx (790 words)

	Proceedings of the Oklahoma Academy of Science
		Evenness, a measure of the distribution of individuals within a species among the community of species, was calculated according to Pielou (18).
		Evenness is maximal when there is the same number of individuals among all the species in a community.
		Species diversity and evenness scores were highest for the Taxodium distichum community type, but this community type had the smallest number of species.
	digital.library.okstate.edu /OAS/oas_htm_files/v76/p23_29.html (2125 words)

	MTO 9.3: Peck, Review of American Mathematical Society Special Session
		His paper, "Dinner Tables, the Ising Model, and the Piano Keyboard," presented the concept of maximal evenness in terms of guests sitting around a table at a dinner party.
		He drew further analogies to the one-dimensional Ising model of physics, in which a maximally even distribution of upward and downward spins minimizes the overall energy, and to the piano keyboard's distribution of white and fl keys.
		Dealing not only with music but with the arts in general, Leyton's book presents a theory of (complex) shape with regard to two properties of intelligence: transfer of structure and recoverability of the generative operations, with the ultimate goal of deriving understandability from complexity.
	mto.societymusictheory.org /issues/mto.03.9.3/mto.03.9.3.peck_review.html (2810 words)

	Poetry X » Articles » "After Free Verse: The New Non-Linear Poetries" by Marjorie Perloff (via CobWeb/3.1 ... (Site not responding. Last check: 2007-11-07)
		Even as he made this pronouncement, however, Pound remarked that “vers libre has become as prolix and as verbose as any of the flaccid varieties that preceded it.
		The actual language and phrasing is often as bad as that of our elders without even the excuse that the words are shovelled in to fill a metric pattern or to complete the noise of a rhyme-sound” (LEEP 3).
		in which even the number “I” (as in Charles the First) is given a full stress.
	articles.poetryx.com.cob-web.org:8888 /21 (7394 words)

	Postminimalism - Wikipedia, the free encyclopedia (via CobWeb/3.1 planetlab1.tamu.edu) (Site not responding. Last check: 2007-11-07)
		general evenness of dynamics, without strong climaxes or nuanced emotionalism; and
		For a musical style derived from minimalism, see Totalism (music).
		Minimal Music, Maximal Impact by Kyle Gann © 2001 NewMusicBox
	en.wikipedia.org.cob-web.org:8888 /wiki/Post-minimalism (455 words)

	Question—What would be most helpful in music today to the composer, to the performer, and to the theorizer
		One of the two 4s intervals in the maximally even scale forms a complete pentad with the tonic tetrad in s s L s s s s L s s (static symmetrical major) and s s s L s s s s L s (static symmetrical minor).
		The fl keys then form a maximally even scale, w hich can be thought of as the "natural" scale.
		The smallest even equal temperaments not yet mentioned with an interval between these two optimal values, and which are not multiples of 22, come from successive additions of 22 starting with 142.
	www.microtonal.freeservers.com /Question1.html (8308 words)

	Ma
		A '''maximal consistent set''' is a set of formulae belonging to some formal language that satisfy certain constraints: * The set is consistency proofconsistent, that is, no formula is both provable and refutable.
		In mathematics, especially in order theory, a '''maximal element''' of a subset ''S'' of some partially ordered set is an element of ''S'' that is not smaller than any other element in ''S''.
		In diatonic set theory '''maximal evenness''' is the quality of a collection or scale which for every generic interval there are is either one or two consecutive (adjacent) specific intervals, in other words a scale which is "'spread out as muc
	www.looked.com /Topicsbycategory.aspx?catid=341&command=nav&search=&name&page=208 (1893 words)

	Landscape Ecology: Glossary (Site not responding. Last check: 2007-11-07)
		Alternatively, one can measure the evenness with which the species are distributed.
		There could be 96 of one species and 1 individual each of the other 4 species - This would be very uneven, or not very diverse.
		Alternatively there could be 20 organisms each for all 5 species, and this represents a maximal evenness.
	www.fes.uwaterloo.ca /crs/envs200/glossary/equitability.html (122 words)

	Lecture 14 (18 March) - Diversity Assessment
		’s index is an example of a formula that has the properties of 1) taking on higher values as number of species increases, and 2) taking its highest value for a given species richness if all species are in equal abundance (i.e., maximal evenness).
		’s index can be used to calculate a related index of “evenness” called Pielou’s index of evenness (J’).
		Dominance-diversity curves that depict species importance (abundance, biomass, basal area, etc.) against species rank (from most to least important) give a visual impression of evenness within a community.
	fig.cox.miami.edu /~djanos/bil336_03/18_mar.html (526 words)

	Cyclic Polytopes
		The main reason for the fact that triangulations of cyclic polytopes can be treated effectively in a purely combinatorial way are the following well-known properties that follow from the special structure of Vandermonde-determinants.
		s_0}$"> is even, otherwise it is an odd gap.
		Those combinatorial facets with only odd gaps are the upper facets, the set of which is denoted by
	www.uni-bayreuth.de /departments/wirtschaftsmathematik/rambau/Diss/diss_MASTER/node26.html (501 words)

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