Loading presentation...

Present Remotely

Send the link below via email or IM

Copy

Present to your audience

Start remote presentation

  • Invited audience members will follow you as you navigate and present
  • People invited to a presentation do not need a Prezi account
  • This link expires 10 minutes after you close the presentation
  • A maximum of 30 users can follow your presentation
  • Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.

DeleteCancel

Make your likes visible on Facebook?

Connect your Facebook account to Prezi and let your likes appear on your timeline.
You can change this under Settings & Account at any time.

No, thanks

Equal subdivisions of the octave

No description
by

John Kruspe

on 30 March 2016

Comments (0)

Please log in to add your comment.

Report abuse

Transcript of Equal subdivisions of the octave

Equal Subdivisions of the Octave
Brahms: from Liebeslieder, op.52
Chopin: Nouvelle Etude no.2 (3 against 2)
Each chord = III (major triad on 3rd scale degree) of each key: Ab (=G#), E and C.
Each augmented triad = V#5 of the next key a semitone higher: A, Bb, B and C.
x triad
x triad
x triad
x triad
III V I
5
10
15
20
25
30
35
40
45
50
55
17
21
25
26
27
28
29
39
40
41
31
32
+3
Splitting the 8ve into 3 equal parts: moving by +3rds
more 'threes'
39
40
41
+3rds
-3rds
Omnibus
+2nds
Rimsky-Korsakov: Scheherazade
Brahms: op.119
(Four Piano Pieces)
Contraction
Expansion
Chromatic voice exchange ('omnibus')
6
4
6
4
D = app.
(A is understood
here by the alto rest
as continuing the
V6/5 of D)
passing 6/4s are an
integral component
of the 'omnibus' technique
*
*
*
These 2 chords seem to be V7 and V4/2 of F. But there is no logical reason for them to exist: there is nothing nearby which has anything to do with that key. They are incidental sonorities of the voice leading expansion: non-harmonic in function, in this case acting as appoggiaturas relative to what's around them.
measure #
Schubert: Sonatina no.1 mm.78-94
Full transcript