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Using Dice in Musical Composition


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So, since I've used dice before to help me compose, I thought I'd start a topic where I could post all my thoughts/techniques about how precisely one can compose using dice.  If you've composed using dice and found a technique that's worked for you feel free to add to the discussion!  At the minimum you will probably need two regular 6-sided dice.  But for my purposes I've purchased a set of fantasy RPG dice which includes 4-sided, 6-sided, 8-sided, 10-sided and Musician's Dice which are 12-sided and labeled with the 12 tones of the chromatic scale.  Also, there's some regular 12-sided dice labeled with numbers, and 20-sided dice as well.

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Using Dice to pick a Mode or Scale in which to compose in

Perhaps a method of using dice which still allows the composer quite a bit of freedom is using them to pick a mode in which a given melody will be set.  For this purpose I have made the following table, the choices in which are determined by rolling a 4-sided die with an 8-sided one:

Modes

1

2

3

4

5

6

7

8

1

Lydian

Ionian

Mixolydian

Dorian

Aeolian

Phrygian

Locrian

Octatonic Diminished Half-Whole

2

Lydian Dominant (Acoustic Scale)

Locrian #2

Mixolydian b6

Phrygian #6

Melodic Minor

Lydian Augmented

SuperLocrian Altered

Octatonic Diminished Whole-Half

3

Dorian #4

Lydian #2

Phrygian Dominant

Locrian #6

Harmonic Minor

Ionian Augmented

Locrian b4 bb7

Bebop Dorian (b7 & nat. 7)

4

Hungarian Minor (Harmonic Minor #4)

Neapolitan Major (Phrygian #6 #7)

Harmonic Major (Ionian b6)

Blues

Major Minor (Aeolian #3)

Aeolian #4

Gypsy/ Byzantine (Phrygian #3 #7)

Bebop Dorian (b3 & nat. 3)

 

This method has limited flexibility however, unless one rolls the dice again when a contrasting section of music is needed.  This can also be used with a 12-sided Musician's die to determine the actual tone around which a given mode should be centered.  One can of course, customize one's own table with various different other choices in the 4th row.  There wasn't enough room to include all the different kinds of bebop scales, and all the other scales are heptatonic.  With more choices, one could probably put together an even more comprehensive list.

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Using Dice to determine metrical feet/rhythms and accents

A somewhat recent discovery of mine is using metrical feet from poetic meter to determine the rhythms of a given phrase of music.  For music in compound or complex meters, a 4-sided die can be rolled once for each beat of music:

Duple Feet

1

2

3

4

 

Iamb (s L)

Trochee (L s)

Pyrrhic (s s)

Spondee (L L)

An 8-sided die can also be rolled once for each group of two beats to determine the rhythm of a phrase in any simple meter:

Triple Feet

1

2

3

4

5

6

7

8

 

Anapest (s s L)

Dactyl (L s s)

Amphibrach (s L s)

Amphimacer or Cretic (L s L)

Bacchius (s L L)

Antibacchius (L L s)

Tribrach (s s s)

Molossos (L L L)

Some of the metrical feet are more open to interpretation than others and some don't fit within their intended meter and must be made to fit by taking up more or less than their allotted beats in the phrase.  Also note that the duple feet are actually more useful in compound meters, while the triple feet are more useful in simple meters because of how long the stressed (L = Long or stressed) and unstressed (s = short or unstressed) syllables within each foot are meant to take.

By rolling a 6-sided, 8-sided, or 10-sided die one could also arbitrarily determine how many feet will be used in a given phrase of music.  One could use this to introduce rhythmic space into the phrase, or come up with phrases that may end up having very irregular lengths.

Instead of rolling dice one could also use melodic mining techniques to extract rhythms from spoken speech using an understanding of these metrical feet.  This is probably already how many people go about setting words to music.  But one's composition need not be vocal or choral or even include the original words on which the rhythms of the music are based to use this technique.

These feet can also be very useful in referring to the rhythmic character of certain phrases.  Actually my whole exploration into these metrical feet was sparked by @Henry Ng Tsz Kiu's review of @ComposaBoi's Symphony No.2 Part 1 when he referred to one of the themes in the symphony as being anapestic!

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Ha thanks for mentioning my post and I am happy to help inspire you Peter! This will be a good method for aleatory music as well. Or the 12 sided Musician dice can be use d for a serial melody with the repeated note not counted! Or the regular 6 side dice can determine the period of the piece: Medieval, Renaissance, Baroque, Classical, Romantic and 20th century. Or the number of the dice can determine what interval you have to follow after the initial notes.

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Quite interesting. It was amazing the discovering of indeterminacy. Although we know this techniques were used before, I think it was John Cage who developed the method.

I wrote some pieces using cards and different levels of control/indeterminacy of the parameters of the music. I liked them. Also, sometimes I catch one of my cats. walking on the midi keyboard and put it to record. I consider it as an aleatory music. Afterwards, I add some harmony....

Dice method is intriguing, perhaps I'll try.

Edited by Luis Hernández
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Yes, an interesting topic (to which I've responded before), having several dice with weird numbers-of-sides. Have used the numbers to create melodies with 1 = the keynote but not for aleatoric composition beyond that. If a number comes up more than once, so does that note. I don't need dice to distort rhythm! I use a 14-side dice and work on until 13 or 14 comes up which mean "end of" so melodies can be very short (and which will likely get discarded) I cheat by doing several and choosing those I think might be usable. 

It'll be particularly interesting how other members are using dice for composition. It needn't be to come up with contemporary-sounding music though in my case it seems to. 

.

Edited by Quinn
lost my dice shaker
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Hi this is an example of what I wrote "with a little help from" indeterminacy, using cards.

Do you have any examples?

 

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Using Dice to come up with Chords, Extensions and Intervals

Besides the methods already mentioned in the above video (of using regular 6-sided dice to come up with intervals or figured bass numbers) I have also used other kinds of dice to help determine different kinds of chords (triads and 7th chords), their extensions and various melodic intervals.

If a composer is looking to come up with triads only, a 4-sided triangular pyramid die can be quite useful as shown in this table:

Triads

1

2

3

4

 

Major

Minor

Augmented

Diminished

I used the 4-sided dice in this way when writing my "Gadget for Wind Quintet".  I rolled a 12-sided Musicians Die along with a 4-sided die to come up with a pitch class and quality of triad.  I did this twice to create a stacked polychord which I used as an under-drawing for the general harmony the piece would have (embellishing it with trills and melodic motion in the various instruments).  I rolled again when I needed the music to go in a new direction (or sometimes I just transposed the previous measures' harmony by a whole step).

For a bigger choice of triads that include suspended sonorities one can roll a regular 6-sided die.  This just shows that the type of dice a composer chooses and the meanings of each of the probabilities in a roll can from the beginning be determined by the composer for a reason, further customizing the experience/exercise towards either the composers strengths, weaknesses or just preferences.

Triads Extended

1

2

3

4

5

6

Major

Minor

Augmented

Diminished

Suspended 2

Suspended 4

If the composer wants a more complex harmony (a 7th chord), they can roll a numbered 12-sided die:

7th Chords

1

2

3

4

5

6

7

8

9

10

11

12

 

Aug. Major 7th

Major 7th

Major 7th b5

Aug. 7th

7th

7th b5 (Tristan Chord)

Sus. Chords

Minor Major 7th

Minor 7th

Dim. Major 7th

Half Dim. 7th

Full Dim. 7th

This can also be used with a 12-sided Musician's Die to find a specific pitch class and its quality.  If the die lands on a 7 - one can then roll a 10-sided die to help determine the specific suspended chord one might want or use:

Suspended 7th Chords

1

2

3

4

5

6

7

8

9

0 or 10

 

Aug. Major 7th Sus. 2

Aug. Major 7th Sus. 4 (Minor Triad #11)

Major 7th Sus. 2 (Dominant Triad over Tonic Pedal)

Major 7th Sus. 4 (Dominant 7th over Tonic Pedal)

Major 7th b5 Sus. 2 (Dominant 7th Add 13)

Major 7th b5 Sus. 4

Dominant 7th Sus. 2 (Minor Dominant Triad over Tonic Pedal)

Dominant 7th Sus. 4

Dominant 7th b5 Sus. 2

Dominant 7th b5 Sus. 4

The pitches of each of the suspended chords can of course be reorganized to spell various other kinds of chords.  But if used in their root position their "suspended" quality can also be preserved.  As with all of these tables, the chords are open to the composer's interpretation.

Having rolled a triad a 7th chord, or a suspended chord the composer may also roll a 10-sided die to come up with chord extensions:

Extensions

1

2

3

4

5

6

7

8

9

0 or 10

 

b7

♮7

b9

♮9

#9

♮11

#11

b13

♮13

Re-roll

The extensions can be used in addition to any tones already present in a sonority, or to supersede tones present in a sonority.

Finally, a numbered 12-sided die may be used to come up with melodic intervals.  Here I have tried to organize the intervals from least to most dissonant (according to Persichetti anyway):

Intervals

1

2

3

4

5

6

7

8

9

10

11

12

 

Octave or Unison

Perfect 5th

Perfect 4th

Major 3rd

Minor 6th

Minor 3rd

Major 6th

Minor 7th

Major 2nd or 9th

Major 7th

Minor 2nd or b9

Tritone

These intervals can likewise be qualified by the roll of a 12-sided Musician's die to determine a specific pitch class on which the interval should start, or this may be left up to the composer's interpretation.  All these methods can be left more or less up to the composer's interpretation even without "cheating".  The point of composing with dice is to force oneself to deal with musical material that one would never ordinarily think of using, so if one picks and chooses which rolls to accept into a composition and which to reject, the whole purpose of the exercise is lost.  I think the most effective way of using these techniques is in choosing one element of the composition to randomize at once.  So if one chooses to randomize the harmony as in these examples, then the rhythm and all other aspects of the composition can be left up to the interpretation of the composer, allowing much freedom (like when I used the triads-rolling method above to come up with an under-drawing of the harmony I would use in my "Gadget for Wind Quintet").  That at least seems like the method most likely to succeed for me.

 

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Using Dice to yield a diatonic chord progression in a number of different harmonic contexts

Either 6-sided or 8-sided dice may be used to determine chords for a progression the length of which may be of the composers choosing.

Lydian

1

2

3

4

5

6

Avoid iv°, II7, II9, vii9 Character Note: #4

 

I

II

iii

V

vi

vii

The avoided chords are here taken from "20th Century Harmony" by Vincent Persichetti.  They are best avoided because their presence might suggest a different modality/tonality than intended, contradicting the intended Lydian modality.

Ionian

1

2

3

4

5

6

7

8

Aka Major

I

ii

iii

IV

V

vi

vii°

Re-roll

The major scale may perhaps be the most obvious formulation.  Although instead of re-rolling when the die lands on 8, one might choose instead to put a secondary-dominant qualifier on some of the other scale degrees.

Mixolydian

1

2

3

4

5

6

Avoid I7, I9, iii°, vi9 Character Note: b7

 

I

ii

IV

v

vi

bVII

Of course, one may also modify the list/table to include only specific flavors of chords that might be preferable, potentially including modal mixtures and secondary dominants.  Or, if one is so inclined, using only major or only minor sonorities for a specific intended sound.

Dorian

1

2

3

4

5

6

Avoid vi°, ii9, IV7, IV9 Character Note: ♮6

 

i

ii

bIII

IV

v

bVII

This is of course in no way a comprehensive list of modes, and building one's own custom modality based on what chords one might want to include in it may be more practical and give the composer more control over the specific musical sound or effect intended. 

Aeolian

1

2

3

4

5

6

7

8

 

i

ii°

bIII

iv

v

bVI

bVII

Re-roll

The avoided chords cannot always be avoided in a tonality or modality.  Their instance might give the composer a challenge.

Phrygian

1

2

3

4

5

6

Avoid i9, bIII7, bIII9, v° Character Note: b2

 

i

bII

bIII

iv

bVI

bvii

Rolling a die for the determination of a chord might be useful once again, in combination with another die rolled to determine the chord's quality (if one is not predisposed to staying in a specific mode from the outset).

Locrian

1

2

3

4

5

6

7

8

Avoid i9, iv9, bVI7, bVI9 Character Note: b2, b5

 

bII

biii

iv

bV

bVI

bvii

Re-roll

Locrian, being perhaps the most avoided mode in the standard set, must include avoided sonorities as part of its defining sound.  Speaking from experience, I think it is still quite possible to compose in the Locrian mode, but usually, at least in my usage, modes are but momentary tools for use when their color is necessary.  I suspect that for most, rolling 6-sided dice to come up with ordinary diatonic chord progressions in a major key will be sufficient.  BUT, if you want to experiment with chord progressions in other kinds of tonalities/modalities, this is a great way to do that.  Although the downside is that it might be quite difficult to maintain the character of particular modes with a random chord progression.  Perhaps the order of the chords can be manipulated by the composer for better effect.  Or, like already mentioned, the character of specific chords can be changed (although at that point one would be diverging from the mode).  8-bit music theory also has a cool video about this topic.  Basically he uses the pizza analogy. You can use the mode as the crust, the cheese, or the pepperoni. If you use it as the crust you build the harmony of your piece entirely out of chords that stay within the mode. If you use it as the cheese, you include the character note of each mode inside the tonic chord. And if you use it as the pepperoni you just add little hints of the mode in the melody of your piece by occasionally alluding to the mode with the character note.

 

 

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