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	Inversion (music)
		Inversional equivalency is the concept that intervals, chords, and other sets of pitches are the same when inverted.
		Inversional equivalency is used little in tonal theory, though it is assumed a set which may be inverted onto another are remotely in common.
		In musical set theory inversion may be usefully thought of as the compound operation transpositional inversion, which is the same sense of inversion as in the Inverted melodies section above, with transposition carried out after inversion.
	www.mp3.fm /Inversion_(music).htm (1237 words)

	Vance's Fantastic MUSIC DICTIONARY (Site not responding. Last check: 2007-10-20)
		Music which is inspired by itself rather than extramusical implications such as the stories legends of "program" music.
		Inversion - As applied to music the term may be used in both melody and harmony.
		Harmonic inversion: the position of the chord is changed from root position (root on the lowest pitch) to first inversion, with the third, or second inversion, with the fifth in the lowest voice.
	www.theatredance.com /musicterm1.html (795 words)

	Inversion (Site not responding. Last check: 2007-10-20)
		When the third of the chord is in the lowest voice of the music, the chord is a "first inversion", when the fifth of the chord is in the lowest voice, the chord is said to be a "second inversion".
		Within an octave, the inversion of a second is a seventh, the inversion of a third is a sixth, the inversion of a fourth is a fifth.
		This is used in Medieval and Renaissance counterpoint, in Baroque fugues, and in 20th century twelve-tone music.
	www.music.vt.edu /musicdictionary/texti/Inversion.html (153 words)

	Inversion (music) - Wikipedia, the free encyclopedia
		Thus a 6/4 chord refers to a chord in second inversion, and is often seen with roman numeral analyses of harmonic function.
		(ii) A notation for chord inversion often used in popular music is to write the name of a chord, followed by a forward slash, and then the name of the note that is to sound in the bass.
		Inversional equivalency or inversional symmetry is the concept that intervals, chords, and other sets of pitches are the same when inverted.
	en.wikipedia.org /wiki/Inversion_(music) (1730 words)

	Music Theory: Chords
		The 1 in the first inversion is the tonic above the 3; in the second inversion, both the 1 and 3 are the notes in the octave above the 5.
		The 6 indicates that the interval spanned by the triad is a sixth.
		The second inversion is indicated with a superscript 6 and 4, indicating that, as with the first inversion, the interval spanned by the triad is a sixth, but unlike the first inversion, the interval between the bottom two notes in the triad is now a fourth.
	www.users.qwest.net /~mbenjamin4/mypages/music/chords.html (2067 words)

	Greg Jones - Instrumental Rock Guitarist
		The smallest interval in western music is the half-step.
		A chord voicing is different from a chord inversion in that a note can be skipped or repeated in a chord voicing.
		One thing to keep in mind about voicings and inversions is that with bigger chords, voicings/inversions become increasingly important as to how the chord sounds.
	www.gregjonesmusic.com /chords.htm (1326 words)

	Essentials of Music - Glossary
		World music classification for instruments that produce sound from the substance of the instrument itself by being struck, blown, shaken, scraped or rubbed.
		Creation of a musical composition while it is being performed, seen in Baroque ornamentation, cadenzas of concertos, jazz, and some non-Western musics.
		Music played between sections of a musical or dramatic work.
	www.essentialsofmusic.com /glossary/i.html (294 words)

	233ass
		It is recognized that atonal music often achieves a certain degree of unity through the recurrent use of a new kind of motive.
		In tonal music, inversion can be applied to a chord, an interval, or a melodic line, but inverting a single pitch is meaningless.
		Without bothering to notate the inversion, we can see that the set is already in best normal order because its first interval (M2) is smaller than the first interval of its inversion (m3).
	www.sfsu.edu /~music/csg/420/420pc-sets.html (1312 words)

	Music Theory - Chords & Symbols
		If the third of the triad is in the lowest voice the triad is the 1st inversion.
		If the 5th of the triad is in the lowest voice, the triad is in the 2nd inversion.
		It was a system of musical shorthand that made the writing of keyboard parts easier.
	library.thinkquest.org /15413/theory/chords.htm (357 words)

	Lesson 21: Triad Inversions
		A 1st inversion triad is a triad in which the 3rd is on the bottom.
		A 2nd inversion triad is a triad in which the 5th is on the bottom.
		They are all I-chords because they all have a C, E and G. They are all 6-4 chords (2nd inversion) because they all have the 5th (g) as their lowest note.
	www.musictheory.halifax.ns.ca /21inversions.html (975 words)

	Set Theory Primer
		It is maintained by some theorists that the reduction in the Forte primes is valid because of the "atonal" context for which set theory was designed; i.e., major and minor chords are the same in an "atonal" context.
		Inversion is achieved by projecting intervals of a set in the opposite direction.
		But, recall that 6 is its own inversion; therefore, the number of invariant pcs is double the number in the ic6 position; i.e., t6 also results in 6 invariant pcs).
	solomonsmusic.net /setheory.htm (4701 words)

	music definitions
		Cadential six-four chord - A second inversion chord that is part of a cadence formula most frequently the tonic chord in second inversion followed by the dominant.
		Music that incorporates many tones and chords foreign to the prevailing tonality.
		Traditional music - Music that is based on tonal, harmonic, rhythmic, and formal practices of the so called common practice period the baroque, classical, and romantic eras.
	guitarsecrets.com /music_definitions.htm (3370 words)

	Chords
		When the third of the chord is the lowest pitch, the chord is in first inversion.
		Seventh chords, which have another note left, are in third inversion when the seventh is the lowest pitch.
		These inversion symbols, when combined with a roman numeral and a key: give all the information needed to figure out what the notes of the chord are and what the bass (lowest) note is.
	www.smu.edu /totw/chordinv.htm (721 words)

	Cross-Cultural Psychology of Music
		Third, communicative behaviors have been selected, are an evolutionary adaption, and are employed by all members of a species, whereas this may not be true of expressive behaviors.
		"Music and not-music in kindergartens." Journal of Research in Music Education 34/1:54-68.
		Complexity judgments seemed not to correlate with structural complexity of the music, but with similarity to prosody of infant speech.
	www.music-cog.ohio-state.edu /Music950/bibXCultPsychMusic.html (937 words)

	Music Questions and Answers (Site not responding. Last check: 2007-10-20)
		A second inversion occurs when a three note chord is arranged so that the fifth of the chord is the lowest sounding pitch.
		The tone of a single pitch played on a musical instrument may be very rich in overtones, yet we perceive it as one pitch – that of the fundamental frequency.
		Proficiency in music is gained when the association between the notation, the instrument, and the sound is made.
	www.musicgoals.com /music_questions.htm (8736 words)

	Delirious?: The British Inversion
		Not confined to Christian radio stations, Christian music awards, or a Christian music industry in the UK, they seek to be a great rock-and-roll band.
		But musically, stylistically, it is obviously different." In speaking about the development of Delirious?, one must remember that although released in a little over 24 months in the US, Cutting Edge, King of Fools, and Mezzamorphis came from different eras in the seven-year history of the band.
		First, despite representing different musical styles and influences, songs from the two most recent albums are worship psalms whose heart-felt cries to God and charges to the church have a strong presence in the Bible and in the history of the church.
	www.realmagazine.com /new/articles/delirious.html (1511 words)

	Fuzzy Logic and Musical Decisions
		The final answer should be a number that can be used to rotate the chord to the desired inversion: 0 to produce a root, 2 to produce first inversion, 1 to produce second.
		The value for member 0 is a vote for root positon, the value in 1 is a vote for first inversion, and the value in 2 is a vote for second inversion.
		We evaluate the predicate of the rule "too many first inversions" by looking in the "too many" set at the position that corresponds to the number of times the first inversion has occured.
	arts.ucsc.edu /EMS/Music/research/FuzzyLogicTutor/FuzzyTut.html (6383 words)

	Newsletter for musicians
		This is a good starter exercise for practicing inversions: it's in a ii-V-I framework, so you know you're making music; it works all the inversions of three out of the four fundamental triad types; it takes you from one end of the fretboard to the other.
		That is, create inversions whose melody notes fall on strings B and G. The one fundamental triad type not covered by this exercise is the augmented triad.
		What we have here is one simple, musical way of turning this "harmonized scale" hoity-toity talk into a practical piece of music that you can practice.
	www.maximummusician.com /nl5.8.htm (3130 words)

	Los Angeles Philharmonic Association - Piece Detail
		While the newest music in this evening's recital was written nearly 80 years ago, it carries with it still the fierce and daunting reputation of its creator.
		By 1909, the largely self-taught Schoenberg, a devoted student of the musical traditions which preceded him, had decided that a step beyond the enormous legacies of Brahms and Wagner would free him to explore means of expression which could sustain a relevance to his changing world.
		Our expectations must be re-calibrated for a music in which sensations come by the "thousands simultaneously" in an unfamiliar vocabulary.
	www.laphil.org /resources/piece_detail.cfm?id=816 (1116 words)

	Dolmetsch Online - Music Dictionary I - Iz
		in music a sound or note of indefinite pitch is one of which it is impossible or relatively difficult to discern the pitch or frequency of the fundamental, as opposed to sounds of definite pitch.
		Whatever cultural interpretation he made of the music is a generic one based on Lewis Henry Morgan's theory of "cultural evolutionary stages." Arthur Farwell's source of Native melodies came from the work of Alice Fletcher and Francis LaFlesche, whose research focused on the Omaha nation and dealt extensively with cultural context.
		in music, inharmonicity is the degree to which the frequencies of the overtones of a fundamental differ from whole number multiples of the fundamental's frequency.
	www.dolmetsch.com /defsi.htm (10482 words)

	Anatomy of a fugue
		Melodic Inversion: (Contrary Motion) Statement of a motive where interval directions have been made to move in the opposite direction of the original motive.
		Contrapuntal Inversion: (Double/Triple Counterpoint) Reappearance of a pair of voices (double ctpt.) or trio of voices (triple ctpt.) in which registers have been reassigned in such a way that the voices have crossed and the interval relationship between voices is fundamentally altered.
		Timothy A. Smith is a professor of music theory at Northern Arizona University in Flagstaff, Arizona, USA.
	www.kunstderfuge.com /theory/smith/anatomy.htm (1515 words)

	Dolmetsch Online - Music Theory Online - Inversion of Intervals
		Inversion offers a neat way of working out the names of intervals larger than an augmented fourth.
		Instead of counting semitones (half steps) to determine the type of sixth, invert it to B flat-D. Now you have a third, you can count the semitones (half steps), four, and determine that it is a major third.
		Where intervals are identified by ratio, (for example, a fifth may be expressed as 3/2), the inversion is determined by reversing the ratio and multiplying by 2, in this case 4/3, which is the ratio of a fourth.
	www.dolmetsch.com /musictheory13.htm (430 words)

	Chord (music) - Wikipedia, the free encyclopedia
		In music and music theory a chord is any collection of notes or pitches that appear simultaneously, or near-simultaneously over a period of time.
		Second inversion: The fifth is in the bass, and above it are the root and the third.
		Note that, in traditional music theory, the inclusion of the third in either the suspended second or suspended fourth chords negates the effect of suspension, and such chords are properly called added ninth and added eleventh chords rather than suspended chords.
	en.wikipedia.org /wiki/Chord_(music) (3926 words)

	Biography
		His music sparked the interest of Sergei Diaghilev, who knew that Stravinsky would be the ideal composer to write ballet music for his Russian Ballet.
		Briefly, serial music is based on a twelve-note progression of distinct pitches, which are repeated, along with variations.
		These variations include the retrograde, which is the sequence backwards; the inversion, which changes a rising interval to the corresponding falling interval, and vice versa, in the progression; and the retrograde inversion.
	www.cco.caltech.edu /~tan/Stravinsky/biography.html (944 words)

	Inversion Music :: Punk Matters : Remembering Joe Strummer
		Good music triggers memories of some past experience, good or bad or ambiguous.
		His life and music were an ongoing argument, perhaps the first to really mean anything for the deviants of my generation, kids who didn't know much but had a feeling something wasn't right.
		Author N.Shea is an editor at Inversion and a reporter at the Providence Journal.
	www.inversionmagazine.com /mu/REviews/Strummer.htm (1478 words)

	iBreatheMusic Forums - Constructing a Simple Chord
		This is still just an inversion just not a 'Close Voice' inversion technically since the root is in the bass it is a root inversion.
		The choice of notes used in a chord in the case of this article is likely due to the chord forms that are familiar to the person writing the article, and not some mysterious underlying rule.
		Although I am not much of a Jazz Player, I have a good musical education and was a 'Rock' picker/singer for a living during the 70's and 80's.
	www.ibreathemusic.com /forums/showthread.php?t=135 (1098 words)

	Symmetry as a Compositional Determinant: VII Bartok & Webern
		Afterwards, its inversion is stated in imitation through the retrograde inversion of the original entry pattern (backwards through the circle of fifths and inverted in registration), converging at bar 78 on A again.
		Since the B sections are the only music containing thirty-second note motion and the A sections are the only music containing solely sixteenths, the tempos are symmetric in the form.
		Bartok's Music for Strings, Percussion and Celeste and Webern's Variations for Piano were composed in the same year, 1936, notable especially considering their intensive uses of symmetry and their remarkably coincident tone centers (A4).
	solomonsmusic.net /diss7.htm (6221 words)

	Fugue: Anatomy of
		The musical examples on this page are designed to be played from the Musica Antiqua Koln (Archiv 431 704-2) recording of the "Art of Fugue" BWV 1080.
		This method for obtaining sound was intended for my students who have access to this particular disk, but you may listen in if you wish.
		The following examples of contrapuntal inversion are designed to be played from the Musica Antiqua Koln (Archiv 431 704-2) recording of the "Art of Fugue" BWV 1080.
	jan.ucc.nau.edu /~tas3/fugueanatomy.html (1581 words)

	www.myspace.com/inversioneffect
		Inversion Effect is a collaboration of musicians from the Artificial Music Machine label who create ambient and experimental music.
		Inversion Effect features the talents of mm444 on guitar and keyboard, Mr.
		Fang contributing noise, effects, and intercepted transmissions, and loops and keyboards by Afreet, as well as the collaborative efforts of other musicians.
	www.myspace.com /inversioneffect (192 words)

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