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| | Electronic musical instrument - Patent 4009633 |
 | | As described in my copending patent application no. 553,798, the diatonic scale and the hexachord scale are members of a quintessential series of musical scales which emphasize the musical interval of a fifth (and its complement, the fourth). |  | | Whole tone notation is preferred to hexachord notation, except for the particular permutation of tones corresponding to pushbutton 26. |  | | Thus hexachord notation allows a fixed and intimate association between the sounds of music and their representation. |
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http://www.freepatentsonline.com/4009633.html
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| | Cymatics, Sound Healing, & Music/Harp Therapy |
 | | "A Study of Hexachord Levels in Schoenberg's Violin Fantasy," PNM 6.1 (Fall-Winter 1967), 18-32. |  | | The expanded hexachord and its fasola syllables survive in the music of sacred harp singing. |  | | To sight-read a melody, one picked the appropriate hexachord; if the melody extended beyond the boundaries of the first hexachord, one mutated to the next with a pivot-note. |
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http://members.tripod.com/~WeThePeople/SoundHealing.htm
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| | hexachord -- Britannica Concise Encyclopedia - The online encyclopedia you can trust! |
 | | The hexachord was described in medieval and Renaissance musical theory and was extensively used in the teaching of singing. |  | | Its value was that it gave the singer a fixed set of pitch relations by which he could orient himself as he sang; as a practical device it proved an effective way to teach the sight-reading of music and to teach individual melodies. |  | | A series of seven overlapping hexachords completed the gamut of formally recognized musical tones, a span of two and one-fourth octaves, containing the notes of the C major scale plus B |
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http://www.britannica.com/ebc/article-9040330
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| | Twelve Tone Composition Part 2 |
 | | The interval sounds and the ensuing level of dissonance are regulated by the combinatorial relationships. |  | | A comparison of the first hexachords in both voices of Duet indicates that the composer used a combinatorial method. |  | | Both Babbitt and Allen Forte have made a sizable contribution to the classification and description of all set classes. |
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http://jan.ucc.nau.edu/~krr2/12tone/12tone2.html
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| | Hexachords - Basic System |
 | | Either Hucbald's six-stringed lyre or a single hexachord of Guido has limited musical possibilities: Many medieval chants, as well as secular melodies, have a larger range. |  | | For the purpose he used the hymn Ut queant laxis [2], which like Hucbald's chant has a range of C-A, and exhibits a protus or Dorian modality, with D as the final or point of repose. |  | | While Hucbald's example notated a melody in terms of the six strings of an instrument arranged T-T-S-T-T, it was the innovation of Guido to associate this series of six notes with a set of easily remembered syllables. |
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http://www.medieval.org/emfaq/harmony/hex1.html
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| | MTO 4.3: Mengozzi, Review of Pike, Hexachords in Late-Renaissance Music |
 | | It is not clear which theorists Dr. Pike has in mind when he argues that the flat hexachord "was thought of" as "'soft' or 'sweet'," but the fact remains that theoretical discussions of musical affects and the relationship between text and music in the Renaissance are centered on mode, not on hexachord. |  | | ABSTRACT: Attempting to appreciate the layers of musical meaning that would be apparent to late-Renaissance expert listeners, Dr. Pike contributes to an interpretation of the repertory of that time that takes into account the meaning of the texts set to music, the circumstances of composition and performance, the musical structure, and the listeners' expectations. |  | | It may turn out that hexachord, far from being the key element of a distinct musical language, was little more than a local inflection within the long history of Western diatonic music. |
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http://www.societymusictheory.org/mto/issues/mto.98.4.3/mto.98.4.3.mengozzi.html
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| | Medieval Musical Tuning Theory |
 | | He is credited with having greatly enhanced the emerging system of written musical notation and of having devised a musical scale structure known as the hexachord. |  | | Because of its simplified interval structure the hexachord was easy to sing. |  | | The pattern also matches the intervals of Guido of Arezzo's hexachord and the Ionian mode described by Henricus Glareanus. |
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http://www.midicode.com/tunings/medieval.shtml
(1851 words)
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| | Research Results For Hexachord |
 | | In music a hexachord is a series of six notes, with a semitone between the third and fourth, the other intervals being whole tones. |
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http://www.probertencyclopaedia.com/cgi-bin/res.pl?keyword=Hexachord&offset=0
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| | Guitar Tricks - 'Hexachord'? |
 | | Tetrachords, the ones our western music is based on, are the harmonic intervals that make out the scales. |  | | The "Hexachord" or "Hexachordum" (lat: Hexa=Six Chordum=String -> six string) was a way of thinking and writing music mostly used by J.S Bach. |  | | The normal music theory is based on a system of 7 notes. |
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http://www.guitartricks.com/forum/showthread.php?t=3332
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| | Hexachords - Early Alternatives |
 | | Using a do-re-mi system, Jardanyi suggests a mutation: D5 should be sung as la in the first portion of the sung based on the upper pentatonic stratum, but G4 as la in the second portion based on the lower stratum. |  | | It should be seen (and heard) not merely as an incomplete octave system, but as a musically valuable perspective in its own right as well as a central element of medieval-Manneristic musical culture and tradition. |  | | An octave-based system suggests the concept of "mode as unified octave species," while a hexachord system may place more emphasis on the concept of a mode as a coalition of tetrachords, pentachords, or "melodic orbits." [138] |
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http://www.medieval.org/emfaq/harmony/hex4.html
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| | All-Combinatorial Hexachords, by Jody Nagel, Combinatoriality, All-Combinatoriality, Twelve-tone music, serial music |
 | | All-Combinatorial Hexachords, by Jody Nagel, Combinatoriality, All-Combinatoriality, Twelve-tone music, serial music |  | | , consists of those intervals missing from the hexachord's interval vector. |  | | These will be considered in detail in the following charts. |
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http://www.jomarpress.com/nagel/articles/AllCombHexachords.html
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| | Hexachord for Harpsichord Sheet Music! |
 | | Classical, Hexachord for Harpsichord Sheet Music by Peters. |  | | Hexachord for Harpsichord Digital / Singles Sheet Music |
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http://www.laurasmidiheaven.com/Sheet-Music/Hexachord%20for%20Harpsichord.html
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| | Harp Mailing List 1994/06 Archive: RE: hexachord tuning |
 | | G is called the 'hard' hexachord, since it contains a hard B. Any medieval melody can be solmized, that is sung using the syllables of |  | | They great thing about the hexachord is that it tells you where the half-step |  | | the steps of the hexachord with the syllables 'ut re mi fa sol la', from the |
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http://www.tns.lcs.mit.edu/harp/archives/1994.06/0061.html
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| | White Island paper |
 | | For example, at m239, following a long string of 0257 tetrachords, the A Hexachord returns as both vertical and horizontal arrangements in the strings and piano, on A and Ab, followed by the A Hexachord on D in the piano at the end of the bar, completing the aggregate. |  | | Still present, of course, is the predisposition towards the triadic, and while this is not diatonic music, in those 014 collections there is the implication of major/minor sonorities, an implication borne out, for example, in the vertical arrangement of thirds in the voices in mm21-22. |  | | Both the C Hexachord and its partitions, of which the 0235 and 0257 are the most common, are found throughout the work, but the last movement in particular is saturated with these sounds. |
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http://world.std.com/~breeze/WI.html
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| | [No title] |
 | | Any hexachord which does not contain a particular interval, when transposed by the omitted interval, will produce the remaining six notes in the chromatic scale. |  | | Transpose this hexachord by one of these intervals and the remaining six notes in the chromatic scale will appear. |  | | There is no interval of a tritone present in this hexachord, therefore, when one transposes these notes by the omitted interval (the tritone) the remaining notes in the chromatic scale appear: f#, g#, a#, c#, d#, and e# (or f, the omitted leading tone in C). |
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http://members.aol.com/txstnr/index2.html
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| | Amazon.ca: Books: Chromatic Hexachord Fantasy: UT, Re, Mi, Fa, Sol, La for Four Viols |
 | | Chromatic Hexachord Fantasy: UT, Re, Mi, Fa, Sol, La for Four Viols |  | | Amazon.ca: Books: Chromatic Hexachord Fantasy: UT, Re, Mi, Fa, Sol, La for Four Viols |  | | Top of Page : Chromatic Hexachord Fantasy: UT, Re, Mi, Fa, Sol, La for Four Viols |
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http://www.amazon.ca/exec/obidos/ASIN/1565710258
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| | Trope - Wikipedia, the free encyclopedia |
 | | A musical trope was the insertion of new notes into a piece of music, creating or extending a melisma. |  | | In serial music, a trope is an unordered collection of six different pitches, what is now called an unordered hexachord, of which there are two (complementary ones) in twelve tone equal temperament. |
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http://www.wikipedia.org/wiki/Trope
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| | mutation - in medieval music theory, a change from one hexachord to another |
 | | In medieval music theory, a change from one hexachord to another, analogous to the modern concept of modulation. |  | | mutation - in medieval music theory, a change from one hexachord to another |  | | It is easy to see from this table that if a chant used 'b' [= "B-flat"] then it was situated in the hexachord based on "F fa ut", and if it used 'h' [= "B natural"] it was in the hexachord of "G sol re ut". |
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http://tonalsoft.com/enc/m/mutation.aspx
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| | shapenote-history |
 | | The European hexachord (six note) system of Ut - Re - Mi - Fa - Sol - La was codified by Guido d'Arezzo (990 - 1055) and used for hundreds of years. |  | | The continental six-note Ut-Re-Mi was simplified in England to the four-note system which you can see above by following the scale from C to C as Fa - Sol - La - Fa - Sol - La - Mi - Fa. |  | | Solfege is a method of ear-training which uses the assignment of syllables to degrees of the scale to assist a singer's memory of pitch. |
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http://www.mit.edu:8001/people/ijs/sn/sn-hist.html
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| | MUSICOLOGY & MUSIC DTP: Musical Information in .. |
 | | It was common in the sixteenth century to transpose modes, and at this juncture "key" signatures took on the additional role of indicating transpositions. |  | | Performers of the time were supposed to know, because of their intensive study of the hexachordal system, when to apply sharps and flats to the music. |  | | This superstructure of relationships was built on the still earlier system of hexachords, which were also transposable. |
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http://www.ccarh.org/publications/reprints/ieee/TYPE54.HTM
(419 words)
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| | Hexachord |
 | | Hexachord (n.) A series of six notes, with a semitone between the third and fourth, the other intervals being whole tones. |  | | Amazon.com - Shop for books, music and more |  | | This is the definition of the term Hexachord |
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http://linkspider.serversystems.net/dictionary/lookup/hexachord
(80 words)
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| | Modes |
 | | For example if a singer wanted to change from hexachord 1 to hexachord 2, they could begin to sing a note as the sol note of hexachord 1, and then while singing it change to regard it as the re note of hexachord 2. |  | | The F hexachord contained a B-flat which was written with a rounded b which is still the current sign for flat. |  | | Guido's system of 6 tones was founded in the hexachord system. |
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http://gpss.wrdsb.edu.on.ca/academics/music/medieval/modes.htm
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| | Twelve Tone Composition, Part 2 Problems |
 | | A song for voice and instrument(s) using established melody-with-accompaniment patterns could be effective. |  | | The second hexachord is not a variant of the first hexachord. |  | | Under "comments" note if the second hexachord is a transformed version of the first hexachord and which all-combinatorial hexachords are used (if any). |
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http://jan.ucc.nau.edu/~krr2/12tone/12tone2prob.html
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| | American Music Teacher: An interview with Ross Lee Finney |
 | | The first work in which I use symmetrical hexachords is the Fantasy in Two Movements for solo violin that I wrote for Yehudi Menuhin, and there you'll find the symmetrical hexachord idea, and you'll find also permutations of that idea. |  | | L: Are the pedal markings in your piano works yours, or are they the editor's? |  | | It does result in bizarre scales, you might say that if you want to, but by saying that it results in a bizarre scale is only to admit that you haven't discovered what happens to the hexachordal situation. |
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http://www.findarticles.com/p/articles/mi_m2493/is_3_54/ai_n8579133/pg_2
(1564 words)
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| | Guitar Tricks - Hexachord solved! |
 | | It was a musical system that the ancient musicians (like back for example) used to write their pieces. |  | | A tutor at Salzburg Music Conservatory (and close friend to my teacher) has obviously discovered how the "Hexachord" system works! |  | | For all those who do not know what the Hexachord is/was: |
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http://www.guitartricks.com/forum/showthread.php?t=2750
(436 words)
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| | Palestrina's Late Renaissance Motet Ego sum panis vivus: Formal Order and Motivic Unity |
 | | Hexachords in Late-Renaissance Music, Lionel Pike makes this comment on hexachord colour: |  | | The soft hexachord begins on F, the hard on G and the soft on C. Each of these hexachords overlap in their range and it may (usually) be necessary for a singer to move amongst the three while singing a particular piece of music. |  | | This Bb becomes the root of the second last chord and while the third of the chord is not present, the sound of the chord sets the listener up for the plagal (IV-I) cadence, which ends the piece. |
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http://www.humanities.mcmaster.ca/~mus701/macmacvol3/moiny.html
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| | DavidGompper.com, Quartet |
 | | The eight corners of the cube suggested a collection eight principal sonorities, heard in the piano at the beginning. |  | | This work was written for a concert in honor of Glenn Watkins upon his retirement from the University of Michigan in 1996, and dedicated to him. |  | | Finally, I take Gesualdo's Belta, poi che t'assenti from his collection of Madrigals, Book VI (which, incidentally, appears as the third movement of Stravinsky's Momunentum pro Gesualdo), re-voice the first phrase and place it in the strings at the coda, above a piano ostinato. |
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http://davidgompper.com/Quartet.html
(229 words)
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| | Impromptu |
 | | The piece is an exploration of the E-Type hexachord and the variety of sonorities contained therein. |  | | I did not set out with any solid preconceived structure for the piece, but decided to let it unfold according to where the music took me. Everything in the piece is derived from the hexachord, except for certain areas that focus on what is missing from the hexachord, namely tritones and major seconds. |  | | This feeling has prompted me to write several works for piano in the hopes of establishing greater fluency with the instrument. |
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http://www.codycomposer.com/impromptu.htm
(324 words)
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| | Music and the Major Arcana |
 | | Both of these systems produce rather dull melodies, although they might be adequate for chant. |  | | The Hexachord System is based on assigning each trump one or two tones from a hexachord or scale of six tones. |  | | The Hexachord System assigns each trump three distinct tones from a hexachord, or scale of six pitches. |
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http://www.cs.utk.edu/~mclennan/BA/PT/Music.html
(1596 words)
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| | hexachord - OneLook Dictionary Search |
 | | Hexachord : Glossary of Musical Terms [home, info] |  | | hexachord : Merriam-Webster's Online Dictionary, 10th Edition [home, info] |  | | Tip: Click on the first link on a line below to go directly to a page where "hexachord" is defined. |
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http://public.onelook.com/?w=hexachord
(175 words)
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| | NOTES MUHL 262 |
 | | --have people at board write modes and hexachords |  | | Background reading: Read 1st chapter of Hoppin, Medieval Music, |  | | MUHL 262: MUSIC HISTORY IV CLASS 14, 2/26/2001 - Intro to Polyphony |
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http://www.mtsu.edu/~music/muhl262notes.html
(7639 words)
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| | H E X A C H O R D - Music & Web Design |
 | | Thank you for your interest in Hexachord Music & Web Design. |  | | For more information or to arrange a meeting to discuss your needs please complete this form and we will be in touch with you as soon as possible. |  | | H E X A C H O R D - Music & Web Design |
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http://www.hexachord.net/contact.aspx
(53 words)
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| | Mengozzi, Review of Pike, Hexachords in Late-Renaissance Music |
 | | Mengozzi, Review of Pike, Hexachords in Late-Renaissance Music |  | | To view the document with other versions or other browsers, follow this link... |  | | This document can be viewed only with Netscape Navigator 2.0 or later, or with Microsoft Explorer 3.0 or later. |
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http://www.societymusictheory.org/mto/issues/mto.98.4.3/mto.98.4.3.mengozzi_frames.html
(40 words)
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| | Compositional techniques of Milton Babbitt |
 | | This retrograded hexachord is transposed down the interval of a diminished fifth. |  | | The first trichord is comprised of a transposed version of the 3rd, 4th and 5th notes of the "theme" hexachord, while the second trichord is composed of a transposition of the 2nd, 3rd and 4th notes of the for-mentioned hexachord. |  | | Similar to Variation II, the first hexachord of one voice is identical to the second hexachord of another voice. |
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http://homepage.mac.com/coltvalenti/iblog/C631812141/E493713625
(2482 words)
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| | hexachord - a 6-tone musical scale structure |
 | | Usually, the hexachord pair exhibits similarities of interval structure (i.e., transposition) or other serial properties such as retrograde or inversion, or various combinations of all of them. |  | | This process works similarly for the chromatic and the diatonic genera assuming that they both were derived from pentatonic precursors of the whole tone and minor third variety. |  | | This definition of hexachord is not the same as the one of the medieval theorist Guido D'Arrezzo. |
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http://tonalsoft.com/enc/h/hexachord.aspx
(618 words)
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| | Hexachords, solmization, and musica ficta - Table of Contents |
 | | The hexachord system, introduced and developed by Guido d'Arezzo and his colleagues in the 11th century, was a central element of musical practice and culture in medieval Europe, and continued to influence Renaissance and Manneristic practice through the early 17th century. |  | | This FAQ article will first present the basic hexachord system and its origins; then medieval and Renaissance extensions of the system to permit a fuller set of accidentals; and finally some alternative systems proposed by Bartolomé Ramos (1482) and Johannes Lippius (1610, 1612) based on octaves rather than hexachords. |  | | While rightly acclaimed as a very successful method for teaching the art of sight-reading, Guido's hexachord system more generally serves as a familiar framework from which to approach many issues of medieval and Renaissance composition and performance. |
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http://www.medieval.org/emfaq/harmony/hex.html
(155 words)
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| | Smooth experiment |
 | | The two hexachords were separated by a delay of one second to help draw attention to the hexachord structure of the tone row. |  | | Thus, for a transpose, the second hexachord would be 3, 4, 5, 6, 8, 1 (Eb, E, F, F#, Ab, Db). |  | | Each note was played in the octave that ensured the interval from the last note lay within the range -5...+6 semitones (for the nonoctified materials only). |
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http://www.lifesci.sussex.ac.uk/home/Zoltan_Dienes/smooth.html
(619 words)
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| | Babbitt |
 | | The hexachord used as a source of structure in Post-Partitions is an (023457) hexachord. |  | | This particular hexachord is an all-combinatorial hexachord since there are both inversional and transpositional ways of replicating either the hexachord or its complement. |  | | Note that the Inversion beginning on Eb (read down on the matrix) is combinatorial with Prime form beginning on D. The Prime on D is combinatorial with RI G# (read up on the matrix). |
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http://www.sinc.sunysb.edu/Class/mus352/notes/babbitt.htm
(343 words)
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| | Hexachord |
 | | El término fue utilizado originalmente en las edades centrales, pero ganó el nuevo dinero en circulación en el vigésimo siglo con el revelado de la teoría determinada musical. |  | | Porque durum incluido de B, el hexachord de G fue llamado "durum del hexachordum"; asimismo, el hexachord de F fue llamado "molle del hexachordum". |  | | Hexachords se puede utilizar para crear la invariación y el combinatoriality, y a menudo una melodía y su acompañamiento serán atraídos de diversos hexachords. |
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http://www.yotor.net/wiki/es/he/Hexachord.htm
(434 words)
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| | Re: [Finale] TAN: Public support for the arts |
 | | He may have picked up the hexachord idea from Daesian notation using tetrachords with a halfstep in the middle, which appears in the "Musica enchiriadis" of the mid-9th century. |  | | But Guido's system of hexachords was actually the first moveable do system. |  | | The key to his system as far as teaching students to read music was the half step in the middle of each hexachord, thereby establishing the "mi-fa" halfstep with e-f, a-Bb, and b-c. |
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http://www.mail-archive.com/finale@mail.shsu.edu/msg01877.html
(622 words)
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| | [No title] |
 | | This time Stravinsky uses dyads from the two hexachords. |  | | Although this row does seem to have several tetrachords which contain the same interval class as notes within the hexachord, the Bransles can be more clearly understood by observing the hexachord formed from the first six pitches of each movement. |  | | This is due partially to the abundance of instruments playing these pitches, but also because of Stravinsky's thicker voicing. |
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http://www.uh.edu/~tkoozin/projects/Jacobi/6306final.html
(2458 words)
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| | 12-tone series as pairs of complementary Tn/TnI hexachords |
 | | So, if different states and transitions of POSITIONS and therefore pc-sets of all three Groups are necessary for Stravinsky to compose 12-tone music, he must choose such 12-tone series that can generate subsets of all three Groups. |  | | Table 17 shows hexachords classified into 9 Collections with respect to 9 different symmetry levels. |  | | Because of different symmetrical properties, or different levels of combinatoriality, of unordered hexachords, some hexachords generate not all three Groups of subsets. |
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http://www.music.columbia.edu/~akira/theory/smpc2001/node13.html
(101 words)
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| | Twelve-Tone Techniques |
 | | Schoenberg and others have used combinatoriality to control the way in which hexachords are combined to form harmony. |  | | The idea that structure could be shaped concretely by the properties of the row allowed composers to develop a structural depth that matched the surface detail afforded by the row. |  | | As with derived series, this shows that the most important aspect of twelve-tone technique is not the endless cycling through a row but, rather, the emphasis that can be placed on unique features of the row. |
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http://www.cwu.edu/~compose/PostTonal_5.html
(304 words)
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| | Properties of 12-tone Sets |
 | | go to the number in the 2nd hexachord that corresponds to the order number in the 1st one that the set |  | | hexachords composed of two symmetrical trichords; space between each aggregate same as each trichord |  | | sets: if hexachordal content is maintained one will get exactly the same |
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http://hunsmire.tripod.com/music/12toneproperties.html
(392 words)
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| | Hexachord - Wikipedia |
 | | Wanneer een melodie de grenzen van een hexachord overschreed schakelde men snel over op het andere. |  | | Men zong dezelfde C bijvoorbeeld eerst met de naam sol (van het zachte hexachord) en daarna als ut (van het naturale). |  | | Onder hexachord wordt in de muziektheorie verstaan: een deel van de toonladder. |
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http://nl.wikipedia.org/wiki/Hexachord
(806 words)
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