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Difference between revisions of "Exotic Scales"

m (→‎Prometheus)
m (→‎Symmetric)
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* Petrucci
 
* Petrucci
  
−
= Symmetric =
+
= Symmetric Scales =
 +
''Symmetric Scales'' are scales that divide an octave into 2 or more equal parts.  In other words, the whole/half pattern of notes for each piece will be identical and there are no leftover notes.  Here is an example of a symmetric scale I am just inventing:
 +
 
 +
R m2 P4 d5 m6 M7
 +
  h  *  h  h  *  h
 +
 
 +
We can divide this into two equal parts:
 +
R  m2 P4 d5
 +
d5 m6 M7 R
 +
  h  *  h
 +
 
 +
The most symmetric scale is the chromatic scale:
 +
R m2 M2 m3 M3 P4 d5 P5 m6 M6 m7 M7 R
 +
  h  h  h  h  h  h  h  h  h  h  h  h
 +
 
 +
Which can be represented as follows:
 +
 
 +
R  m2 M2 m3 M3 P4 d5
 +
d5 P5 m6 M6 m7 M7 R
 +
  h  h  h  h  h  h
 +
 
 +
R  m2 M2 m3 M3
 +
M3 P4 d5 P5 m6
 +
m6 M6 m7 M7 R
 +
  h  h  h  h
 +
 
 +
R  m2 M2 m3
 +
m3 M3 P4 d5
 +
d5 P5 m6 M6
 +
M6 m7 M7 R
 +
  h  h  h
 +
 
 +
R  m2 M2
 +
M2 m3 M3
 +
M3 P4 d5
 +
d5 P5 m6
 +
m6 M6 m7
 +
m7 M7 R
 +
  h  h
 +
 
 +
R  m2
 +
m2 M2
 +
M2 m3
 +
m3 M3
 +
M3 P4
 +
P4 d5
 +
d5 P5
 +
P5 m6
 +
m6 M6
 +
M6 m7
 +
m7 M7
 +
M7 R
 +
  h
 +
 
 +
* If the scale is symmetric by dividing the octave into halves, it must have the a4/tt/d5 note.
 +
* Pentatonic and Hexatonic scales cannot be symmetric as 5 and 7 are prime numbers that cannot be subdivided into 2 or more groups of equal notes
 +
 
 +
Common symmetric scales include:
 +
* Whole Tone
 +
* Octatonic (Whole-Half and Half-Whole)
 +
* Chromatic
 +
* Augmented
 +
 
 +
= Synthetic Scales =
 +
''Synthetic Scales'' are formed by lowering or raising a single note of an existing scale by a half-step.

Revision as of 16:50, 28 May 2014

Pentatonic

Eastern Pentatonic - Yo

R M2 P4 P5 M6
 w  +  w  w  +

Eastern Pentatonic - In

R m2 P4 P5 m6
 h  *  w  h  *

Egyptian/Suspended Pentatonic

R M2 P4 P5 m7
 w  +  w  +  w

Pentatonic - Minor Blues

R m3 P4 m6 m7
 +  w  +  w  w

Heptatonic

Double Harmonic

R m2 M3 P4 P5 m6 M7
 h  +  h  w  h  +  h

Hungarian Minor

R M2 m3 a4 P5 m6 M7
 w  h  +  h  h  +  h

Octatonic

Whole-Half

R M2 m3 P4 d5 m6 M6 M7
 w  h  w  h  w  h  w  h

Half-Whole

R m2 m3 d4 d5 P5 M6 m7
 h  w  h  w  h  w  h  w

Hexatonic

Whole Tone

R M2 M3 a4 a5 a6    =  R M2 M3 d5 m6 m7
 w  w  w  w  w  w

Augmented

R m3 M3 a5 m6 M7
 +  h  +  h  +  h

Prometheus

R M2 M3 tt M6 m7
 w  w  w  +  h  w

Tritone

R m2 m3 a4 P5 m7
 h  w  +  h  +  w

Chromatic

R m2 M2 m3 M3 P4 d5 P5 m6 M6 m7 M7
 h  h  h  h  h  h  h  h  h  h  h  h
  • Chopin
  • Petrucci

Symmetric Scales

Symmetric Scales are scales that divide an octave into 2 or more equal parts. In other words, the whole/half pattern of notes for each piece will be identical and there are no leftover notes. Here is an example of a symmetric scale I am just inventing: 

R m2 P4 d5 m6 M7
 h  *  h  h  *  h

We can divide this into two equal parts: 

R  m2 P4 d5
d5 m6 M7 R
  h  *  h

The most symmetric scale is the chromatic scale: 

R m2 M2 m3 M3 P4 d5 P5 m6 M6 m7 M7 R
 h  h  h  h  h  h  h  h  h  h  h  h

Which can be represented as follows: 

R  m2 M2 m3 M3 P4 d5
d5 P5 m6 M6 m7 M7 R
  h  h  h  h  h  h

R  m2 M2 m3 M3
M3 P4 d5 P5 m6
m6 M6 m7 M7 R
  h  h  h  h

R  m2 M2 m3 
m3 M3 P4 d5
d5 P5 m6 M6
M6 m7 M7 R
  h  h  h

R  m2 M2
M2 m3 M3
M3 P4 d5
d5 P5 m6
m6 M6 m7
m7 M7 R
  h  h

R  m2
m2 M2
M2 m3
m3 M3
M3 P4
P4 d5
d5 P5
P5 m6
m6 M6
M6 m7
m7 M7
M7 R
  h
  • If the scale is symmetric by dividing the octave into halves, it must have the a4/tt/d5 note.
  • Pentatonic and Hexatonic scales cannot be symmetric as 5 and 7 are prime numbers that cannot be subdivided into 2 or more groups of equal notes

Common symmetric scales include:

  • Whole Tone
  • Octatonic (Whole-Half and Half-Whole)
  • Chromatic
  • Augmented

Synthetic Scales

Synthetic Scales are formed by lowering or raising a single note of an existing scale by a half-step.

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