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Benjamin
Full Member
USA
22 Posts |
 Posted - 25 December 2007 : 12:19:18 PM
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Is anyone using the "The Schillinger System of Musical Compostion" and/or "The Mathematical Basis of the Arts", both by Joseph Schillinger, for composing and/or arranging? I've studied it for over 30 years, but have only occassionally used various techniques from it. I have found his concept of resultants of interference very inspiring, and his theory of scale expansions, voice leading, chord progressions, density and orchestration, etc. also quite helpful.
I'm working on a convenient set of Finale Percussion Maps for use in applying scale expansions conversions to any given C major material, which of course can then transposed to other keys after the conversion if needed! The use of such scale expansions can transform music into very different styles like effect which can be used for creating variations obviously too.
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pranakasha
Silver Member
USA
406 Posts |
Posted - 26 December 2007 : 11:29:17 AM
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Dear Benjamin,
This is the first I've heard of Schillinger's techniques, at least by name. Is it possible to give some examples or direct us to some useful websites where we might learn a little more about his methods?
---Matt
Matthew Charles Weiss
Pranakasha Productions
Seattle, WA USA
www.WeissConcerto.com
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DatBugler
Silver Member
USA
393 Posts |
Posted - 26 December 2007 : 1:31:04 PM
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quote:
Originally posted by pranakasha
Dear Benjamin,
This is the first I've heard of Schillinger's techniques, at least by name. Is it possible to give some examples or direct us to some useful websites where we might learn a little more about his methods?
I second that.
Saul Tobin
USC '11 in composition
Finale 2008 on MacBook Pro, with Oxygen-8 MIDI controller |
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celloingshostako
Silver Member
USA
252 Posts |
Posted - 27 December 2007 : 4:21:17 PM
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Could you briefly explain what a "scale expansion" is?
-Hans |
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Benjamin
Full Member
USA
22 Posts |
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Benjamin
Full Member
USA
22 Posts |
Posted - 27 December 2007 : 9:19:53 PM
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Scale Expansions
A scale expansion is the systematic reordering of a scale based on skipped scale steps. Every scale has 2 less expansions than there are degrees in the scale. For example, in C major, given the notes CEDGFAB, its tonal expansions, each numbering refering to the number of skipped scale steps to determine the next, are listed below. This is the "S0" mode of the scale which is the "ionian" mode starting on the root pitch of the scale. There are as many scale modes as there are scale tones, each with the own related set of scale expansions.
CDEFGAB = S0 = ionian
DEFGABC = S1 = dorian
EFGABCD = S2 = phrgian
FGABCDE = S3 = lydian
GABCDEF = S4 = myxolydian
ABCDEFG = S5 = aolian
BCDEFGA = S6 = locrian
The expansions can be applied to each mode, which for "ionian" in C Major, are:
S0E0 = CDEFGAB [the inverse of S0E5] [seconds]
S0E1 = CEGBDFA [the inverse of S0E4] [thirds]
S0E2 = CFBEADG [the inverse of S0E3] [fourths]
S0E3 = CGDAEBF ]the inverse of S0E2] [fifths]
S0E4 = CAFDBGE [the inverse of S0E1] [sixthes
S0E5 = CBAGFED [the inverse of S0E0] [sevenths]
Scale expansions can be used linearly for melody and chord root progression, and vertically (i.e. simultaneously for harmony, independently of each other. Common use harmonic naming conventions have been based on structures realated to E1, but many others obviously could be used.
Benjamin Robert Tubb, Finale Engraver
F2K8 with WinXP Pro
Webpmaster of PUBLIC DOMAIN MUSIC
www.pdmusic.org
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d2leo
New Member
1 Posts |
Posted - 13 April 2008 : 07:08:01 AM
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Benjamin,
I use the Schillinger System and also teach it.
For years I could not figure out why it was called a SYSTEM. I looked at the books and read old articles from the trades. Nothing!!!
I knew it it was very popular, I knew there were certified teachers, I knew it was being used by many professional musicians that swore by it.
I decided to look at how the System was being taught. I compiled Syllabii, lesson plans, testing materials from Schillinger House , NYU private teachers of the System. I even found a certified teacher coaxed him out of retirement to teach me.And there it was the System.
Modes are actually derivative scales. d0 = Ionian, d1 = dorian etc
We have finally set up the Schillinger Society.
http://www.schillingersociety.com/joomla/
and the Practical Schillinger online school:
http://schillingersociety.com/practicalschillinger.html
Phil |
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