Notation as Composition

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    MUSIC NOTATION AS

    MUSIC COMPOSITION

    BY WILLIAM ANDREW BURNSON

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    Composition

    Improvisation

    Performance

    Notation

    Rehearsal

    What is the difference between

    composition and notation?

    Dictation-->

    Recordin

    g-->

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    INNOVATIONS IN COMPOSITION

    Renaissance Accidentals

    Baroque Loud and Soft

    Classical Graded Dynamics

    Romantic Cresc., Dim., Phrasing, Articulation

    Early 20th c. Serial music, Percussion

    Post WWII Aleatory, Proportional, Formalization, Graphic, Symbolic,Microtonal, Multiphonics, Textual, Abstract

    Technologic Musique Concrte, Music Production Software,Interactive Music

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    INNOVATIONS IN NOTATION

    Renaissance Accidentals

    Baroque Loud and Soft

    Classical Graded Dynamics

    Romantic Cresc., Dim., Phrasing, Articulation

    Early 20th c. Serial music, Percussion

    Post WWII Aleatory, Proportional, Formalization, Graphic, Symbolic,Microtonal, Multiphonics, Textual, Abstract

    Technologic Musique Concrte, Music Production Software,Interactive Music

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    Mycenae Alpha - Iannis Xenakis

    Spiral Galaxy (Makrokosmos I,George Crumb)

    An example Max/MSP (interactive music) session

    An example GarageBand session

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    MODERN DAY TYPESETTING

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    MODERN DAY TYPESETTING

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    MODERN DAY TYPESETTING

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    MODERN DAY TYPESETTING

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    GRAMMAR(notationally speaking)

    It was the best of times, it was the worst of

    times; it was the age of wisdom, it was the age

    of foolishness; it was the epoch of belief, itwas the epoch of incredulity; it was the season

    of Light, it was the season of Darkness; it was

    the spring of hope, it was the winter of

    despair; we had everything before us, we had

    nothing before us; we were all going directly

    to Heaven, we were all going the other way.

    It was the best of times, it was the worst of times;it was the age of wisdom, it was the age of

    foolishness; it was the epoch of belief, it was theepoch of incredulity; it was the season of Light, itwas the season of Darkness; it was the spring ofhope, it was the winter of despair; we hadeverything before us, we had nothing before us;we were all going directly to Heaven, we were allgoing the other way.

    =?

    Compare the following renderings of the opening sentence toA Tale of Two Cities (Charles Dickens):

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    GRAMMAR

    Letters are different shapes, sizes.Words are not in the same location.

    Strictly speaking these two snippets have nothing in common!

    (notationally speaking)

    It was the best of times, it was the worst of

    times; it was the age of wisdom, it was the age

    of foolishness; it was the epoch of belief, itwas the epoch of incredulity; it was the season

    of Light, it was the season of Darkness; it was

    the spring of hope, it was the winter of

    despair; we had everything before us, we had

    nothing before us; we were all going directly

    to Heaven, we were all going the other way.

    It was the best of times, it was the worst of times;it was the age of wisdom, it was the age of

    foolishness; it was the epoch of belief, it was theepoch of incredulity; it was the season of Light, itwas the season of Darkness; it was the spring ofhope, it was the winter of despair; we hadeverything before us, we had nothing before us;we were all going directly to Heaven, we were allgoing the other way.

    =?

    Compare the following renderings of the opening sentence toA Tale of Two Cities (Charles Dickens):

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    GRAMMAR

    Though the two passages differed graphically,in the context of a typographic grammar, we consider them the same.

    (notationally speaking)

    It was the best of times, it was the worst of

    times; it was the age of wisdom, it was the age

    of foolishness; it was the epoch of belief, it

    was the epoch of incredulity; it was the season

    of Light, it was the season of Darkness; it wasthe spring of hope, it was the winter of

    despair; we had everything before us, we had

    nothing before us; we were all going directly

    to Heaven, we were all going the other way.

    It was the best of times, it was the worst of times;it was the age of wisdom, it was the age offoolishness; it was the epoch of belief, it was theepoch of incredulity; it was the season of Light, it

    was the season of Darkness; it was the spring ofhope, it was the winter of despair; we hadeverything before us, we had nothing before us;we were all going directly to Heaven, we were allgoing the other way.

    Just like a written language, music notation also has a grammar.

    Visually distinct representations can have the same underlying content.

    =

    = =

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    GRAMMAR

    Side Note:In the grammar of language we can also study it from two vantage points:

    (notationally speaking)

    I know what you mean. I know whatcha mean.

    Prescriptive Grammar (English)

    Descriptive Grammar (Linguistics)

    OK

    I know what you mean.I know whatcha mean.

    People say this Probably dont hearthis too often...

    Bad form:whatcha is not in the dictionaryDirect object is whatcha?Indirect object is whatcha?

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    GRAMMAR

    Which came first, the style guide or the language?

    (notationally speaking)

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    GRAMMAR

    Which came first, the style guide or the language?

    (notationally speaking)

    In music notation we face a similar problem.

    Many prescriptive music notation guides show recommended practiceas a set of rules.

    Emulates conventions established through a centuries-long evolution of anaturally-occurring process of thousands of typesetters and composers

    collectively solving a notational problem:

    How do you project a multi-dimensional concept such as music(pitch, rhythm, voicing, instrument, dynamics, phrasing, articulation)

    onto a two-dimensional canvas?

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    GRAMMAR(notationally speaking)

    Music notation developed organically in response to the needs ofcomposers and typesetters, rather than being authored by any one

    person or specific group.

    In designing a representation of music notation,we need to know something descriptive about the notational grammar

    A prescriptive set of case-by-case rules that handle most casesis not sufficient to represent all notational possibilities that carry meaning.

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    GRAMMAR(notationally speaking)

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    REPRESENTATION

    Score

    Part Measure

    A pervasive approach to representing music comprisespart-based (row first) multidimensional containers.

    Part-Based Containers (i.e. measures in parts in score)

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    REPRESENTATION

    Score

    Part Instants

    Alternatively, a time-based (column first) container can be used

    Time-Based Containers (i.e. instants in parts in score)

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    REPRESENTATION

    Caveats of a container-based representation:

    1) Example of Part-Based failure: Ossia Staff

    2) Example of Time-Based failure: Grace notes

    In what order should the notes appear?

    Is this a part with hidden measures?

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    GRAPH THEORY

    Organizes relational information by nodes and links

    Link(or Edge)

    Node

    (or Vertex)

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    GRAPH THEORY

    Used to solve a number of difficult problems. For example:

    1) Traveling Salesman ProblemGiven a list of cities (nodes) and connecting roads (links), what isthe shortest path that visits each city without any repeat visits.

    2) The Map Coloring ProblemGiven a map of countries, what is the fewest number of colorsthat can be used so that no two adjacent countries use thesame color. Answer: 4, but most maps use 5 to make theproblem easier.

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    GRAPH THEORY

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    BELLE, BONNE, SAGE

    Open-source (free) software for typesetting music

    Provides support mechanisms for printing

    music regardless of the final medium

    (PDF, notation software, web, and so on)

    Takes form in some current programs:

    Chorale Composer (music theory)

    Lune (early development,

    algorithmic notation)

    Baude Cordier

    Belle, Bonne, Sage

    from 14th Century France