User:BudjarnLambeth/Quasipelog theory: Difference between revisions

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* Inharmonic bells
* Inharmonic bells
* Inharmonic synth timbres (eg from an additive synth) with a 'metallic' or 'bell-like' sound
* Inharmonic synth timbres (eg from an additive synth) with a 'metallic' or 'bell-like' sound
* Inharmonic plastic-like timbres
* Human voices with a 'thin', 'reedy' tone
* Human voices with a 'thin', 'reedy' tone
* Woodwinds with a 'thin', 'reedy' tone
* Woodwinds with a 'thin', 'reedy' tone
Line 46: Line 47:


=== Quasipelog minor ===
=== Quasipelog minor ===
'''Quasipelog minor''' is defined as mode ssLsL of the [[mavila]][5] [[MOS scale]].
'''Quasipelog minor''' is defined as mode ssLsL of the [[mavila]][5] [[MOS scale]]. It has a gestalt (feeling) similar to the natural minor scale.


=== Quasipelog major ===
=== Quasipelog major ===
'''Quasipelog major''' is defined as mode LssLs of the mavila[5] MOS scale.
'''Quasipelog major''' is defined as mode LssLs of the mavila[5] MOS scale. It has a gestalt similar to mixolydian.


=== Quasipelog heptatonic ===
=== Quasipelog heptatonic ===
'''Quasipelog heptatonic''' is defined as mode ssLssLs of the mavila[7] MOS scale.
'''Quasipelog heptatonic''' is defined as mode ssLssLs of the mavila[7] MOS scale. It has a gestalt similar to the phrygian and [[equiheptatonic]] scales.


=== Quasipelog chromatic ===
=== Quasipelog chromatic ===
'''Quasipelog chromatic''' is defined the mavila[16] MOS scale made from stacking 7 fifths up and 8 fifths down (or, 8 fourths up and 7 fourths down).
'''Quasipelog chromatic''' is defined the mavila[16] MOS scale made from stacking 7 fifths up and 8 fifths down (or, 8 fourths up and 7 fourths down).
 
It has a gestalt similar to the chromatic scale.


One step of the quasipelog chromatic scale is called a '''QPC step'''.
One step of the quasipelog chromatic scale is called a '''QPC step'''.
Line 301: Line 304:


<pre>
<pre>
Quasipelog minor -2+3++6
Quasipelog minor -2+3-5++6
Gestalt: diminished-like
1\16
1\16
5\16
5\16
Line 317: Line 321:
9\30
9\30
14\30
14\30
25\30
30\30
''(mode 4 thereof)''
5\16
8\16
9\16
13\16
16\16
8\23
12\23
13\23
19\23
23\23
11\30
16\30
17\30
25\30
30\30
Quasipelog minor -2+3++6
Gestalt: diminished-like
1\16
5\16
9\16
13\16
16\16
1\23
7\23
13\23
19\23
23\23
1\30
9\30
17\30
25\30
25\30
30\30
30\30


Quasipelog minor-2-5
Quasipelog minor-2-5
Gestalt: whole tone scale-like
1\16
1\16
4\16
4\16
Line 340: Line 384:


Quasipelog minor+2
Quasipelog minor+2
Gestalt: hirajoshi-like
3\16
3\16
4\16
4\16
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17\30
17\30
21\30
21\30
30\30
Quasipelog minor +2++3-6
Gestalt: kokin-joshi-like
3\16
6\16
9\16
10\16
16\16
4\23
9\23
13\23
14\23
23\23
5\30
12\30
17\30
18\30
30\30
Quasipelog minor +2+3++6
Gestalt: mixolydian-like
3\16
5\16
9\16
13\16
16\16
4\23
7\23
13\23
19\23
23\23
5\30
9\30
17\30
25\30
30\30
30\30


Quasipelog minor-3
Quasipelog minor-3
Gestalt: bebop-like
2\16
2\16
3\16
3\16
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Quasipelog minor+3+6
Quasipelog minor+3+6
Gestalt: major pentatonic-like
2\16
2\16
5\16
5\16
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Quasipelog minor+3
Quasipelog minor+3
Gestalt: major pentatonic-like
2\16
2\16
5\16
5\16
Line 416: Line 504:


Quasipelog minor+5
Quasipelog minor+5
Gestalt: pelog-like
2\16
2\16
4\16
4\16
Line 435: Line 524:


Quasipelog minor-6
Quasipelog minor-6
Gestalt: harmonic major-like
2\16
2\16
4\16
4\16
Line 454: Line 544:


Quasipelog minor-plus-all (quasipelog minor+2+3+5+6)
Quasipelog minor-plus-all (quasipelog minor+2+3+5+6)
Gestalt: whole tone scale-like
3\16
3\16
5\16
5\16
Line 476: Line 567:


<pre>
<pre>
Quasipelog major -3
Gestalt: minor pentatonic-like
4\16
7\16
9\16
14\16
16\16
6\23
10\23
13\23
20\23
23\23
8\30
13\30
17\30
26\30
30\30
Quasipelog major+3+5+7
Quasipelog major+3+5+7
Gestalt: pelog-like
6\16
6\16
7\16
7\16
Line 496: Line 608:


Quasipelog major-4
Quasipelog major-4
Gestalt: mixolydian-like
5\16
5\16
6\16
6\16
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Quasipelog major+4+7
Quasipelog major+4+7
Gestalt: pelog-like
6\16
6\16
7\16
7\16
Line 534: Line 648:


Quasipelog major+4
Quasipelog major+4
Gestalt: dorian-like
5\16
5\16
7\16
7\16
Line 553: Line 668:


Quasipelog major-minus-all (quasipelog major-3-4-5-7)
Quasipelog major-minus-all (quasipelog major-3-4-5-7)
Gestalt: iwato-like
4\16
4\16
6\16
6\16
Line 572: Line 688:


Quasipelog major-plus-all (quasipelog major+3+4+5+7)
Quasipelog major-plus-all (quasipelog major+3+4+5+7)
Gestalt: han-kumoi-like
6\16
6\16
8\16
8\16
Line 578: Line 695:
16\16
16\16


6\23
9\23
9\23
11\23
12\23
19\23
14\23
22\23
23\23
23\23


8\30
12\30
12\30
14\30
16\30
25\30
18\30
29\30
30\30
30\30
</pre>
</pre>
Line 594: Line 711:


<pre>
<pre>
Altered QPH 1,3,4,5,7
Altered QPH 1,2-1,3-1,4+1,5,7-1
4\16
Gestalt: like the diminished scale
1\16
5\16
8\16
9\16
13\16
16\16
 
1\23
7\23
12\23
13\23
19\23
23\23
 
1\30
9\30
16\30
17\30
25\30
30\30
 
Altered QPH 1,2-1,4,6-1,7
Gestalt: like Messiean's modes
1\16
7\16
10\16
14\16
16\16
 
1\23
10\23
14\23
20\23
23\23
 
1\30
13\30
18\30
26\30
30\30
 
Altered QPH 1,2-1,3+1,4-1,5,7-1
Gestalt: phrygian dominant-like
1\16
5\16
6\16
9\16
13\16
16\16
 
1\23
7\23
9\23
13\23
19\23
23\23
 
1\30
9\30
12\30
17\30
25\30
30\30
 
Altered QPH 1,2,4,5,7
Gestalt: equipentatonic-like
2\16
7\16
7\16
9\16
9\16
Line 601: Line 785:
16\16
16\16


6\23
3\23
10\23
10\23
13\23
13\23
Line 607: Line 791:
23\23
23\23


8\30
4\30
13\30
13\30
17\30
17\30
Line 614: Line 798:


Altered QPH 1,2,4,6,7
Altered QPH 1,2,4,6,7
Gestalt: natural minor-like
2\16
2\16
7\16
7\16
Line 632: Line 817:
30\30
30\30


Altered QPH 1,2,4,5,7
Altered QPH 1,3,4,5-1,5,7-1
2\16
Gestalt: blues scale-like
4\16
7\16
8\16
9\16
13\16
16\16
 
6\23
10\23
12\23
13\23
19\23
23\23
 
8\30
13\30
16\30
17\30
25\30
30\30
 
Altered QPH 1,3,4,5,7
Gestalt: minor pentatonic-like
4\16
7\16
7\16
9\16
9\16
Line 639: Line 848:
16\16
16\16


3\23
6\23
10\23
10\23
13\23
13\23
Line 645: Line 854:
23\23
23\23


4\30
8\30
13\30
13\30
17\30
17\30
26\30
26\30
30\30
Altered QPH 1,3,5,6+1,7-1
Gestalt: lydian-like
6\23
13\23
17\23
19\23
23\23
8\30
17\30
22\30
25\30
30\30
30\30
</pre>
</pre>

Latest revision as of 10:41, 6 October 2026

< 16edo#Scales

< 23edo#Scales

< 30edo#Scales

< 37edo#Scales

< 39edo#Scales

This article or section contains multiple idiosyncratic terms. Such terms are used by only a few people and are not regularly used within the community.

Terms: Most of the terms on this page, including "quasipelog" itself, are used only by Budjarn Lambeth and would not be known terms to most music scholars or musicians.

This user page is editable by any wiki editor.

As a general rule, most users expect their user space to be edited only by themselves, except for minor edits (e.g. maintenance), undoing obviously harmful edits such as vandalism or disruptive editing, and user talk pages.

However, by including this message box, the author of this user page has indicated that this page is open to contributions from other users (e.g. content-related edits).

Author comments: Please don't remove any information unless it is offensive or mathematically incorrect, but feel free to add information or improve formatting.

Quasipelog theory is a theoretical framework for approaching 16edo (16-tone equal temperament), or any other edo that supports 2.3.5.11 mavila (e.g. 23edo, 30edo, 37edo, 39edo).

It is heavily inspired by Javanese, Balinese and Sundanese gamelan music theory; by the Armodue school of music theory; and by Erv Wilson's discovery and descriptions of MOS scales.

Quasipelog theory was developed by Budjarn Lambeth beginning in December 2025, due to 16edo leading in the XA Monthly Tunings poll for January.

Instruments and timbre

In quasipelog theory, instruments/synths with harmonic timbres are to be avoided.

Instead, any combination of the following may be used:

  • Any gamelan instruments
  • Inharmonic metallophones
  • Inharmonic bells
  • Inharmonic synth timbres (eg from an additive synth) with a 'metallic' or 'bell-like' sound
  • Inharmonic plastic-like timbres
  • Human voices with a 'thin', 'reedy' tone
  • Woodwinds with a 'thin', 'reedy' tone
  • Synth timbres built upon a sine wave
  • Woodwinds that have a timbre very close to a sine wave
  • Overblown woodwinds


See also: Instruments.

Scales

The four most essential scales in quasipelog music theory are quasipelog minor, quasipelog major, quasipelog heptatonic, and quasipelog chromatic.

Most quasipelog music should be written using one or more of those four scales.

Besides those, there are three types of additional scales which may be used sometimes in quasipelog music:

  • Flavoured QP minor scales
  • Flavoured QP major scales
  • Altered QPH scales

Quasipelog minor

Quasipelog minor is defined as mode ssLsL of the mavila[5] MOS scale. It has a gestalt (feeling) similar to the natural minor scale.

Quasipelog major

Quasipelog major is defined as mode LssLs of the mavila[5] MOS scale. It has a gestalt similar to mixolydian.

Quasipelog heptatonic

Quasipelog heptatonic is defined as mode ssLssLs of the mavila[7] MOS scale. It has a gestalt similar to the phrygian and equiheptatonic scales.

Quasipelog chromatic

Quasipelog chromatic is defined the mavila[16] MOS scale made from stacking 7 fifths up and 8 fifths down (or, 8 fourths up and 7 fourths down).

It has a gestalt similar to the chromatic scale.

One step of the quasipelog chromatic scale is called a QPC step.

Flavoured QP minor scales

A flavoured QP minor scale is a pentatonic (5-tone) scale constructed by starting with the quasipelog minor scale and then moving individual degrees of the scale up or down by QPC steps.

For example, if you started with the quasipelog minor scale, then flattened the neutral second by 1 QP hexstep, and sharpened the minor sixth by 2 QP hexsteps, you would get the scale "quasipelog minor -2++6".

Flavoured QP major scales

A flavoured QP major scale is a pentatonic (5-tone) scale constructed by starting with the quasipelog major scale and then moving individual degrees of the scale up or down by QPC steps.

Altered QPH scales

An altered QPH scale is a scale constructed by starting with the quasipelog heptatonic scale and then moving individual degrees of it up or down by QPC steps, and/or duplicating or removing some of its degrees.

The standard quasipelog heptatonic scale could be written as "altered QPH 1,2,3,4,5,6,7".

If you removed its second and fourth degrees, duplicated its sixth degree, and flattened one of the duplicated sixths by two QPC steps, the result would be "altered QPH 1,3,5,6-2,6,7".

Quasipelog scales in edos

Four main scales

16edo
Quasipelog minor
2\16
4\16
9\16
11\16
16\16

Quasipelog major
5\16
7\16
9\16
14\16
16\16

Quasipelog heptatonic
2\16
4\16
7\16
9\16
11\16
14\16
16\16

Quasipelog hexadecatonic
1\16
2\16
3\16
4\16
5\16
6\16
7\16
8\16
9\16
10\16
11\16
12\16
13\16
14\16
15\16
16\16
23edo
Quasipelog minor
3\23
6\23
13\23
16\23
23\23

Quasipelog major
7\23
10\23
13\23
20\23
23\23

Quasipelog heptatonic
3\23
6\23
10\23
13\23
16\23
20\23
23\23

Quasipelog hexadecatonic 
1\23
3\23
4\23
6\23
7\23
9\23
10\23
11\23
13\23
14\23
16\23
17\23
19\23
20\23
22\23
23\23
30edo
Quasipelog minor
4\30
8\30
17\30
21\30
30\30

Quasipelog major
9\30
13\30
17\30
26\30
30\30

Quasipelog heptatonic
4\30
8\30
13\30
17\30
21\30
26\30
30\30

Quasipelog hexadecatonic 
1\30
4\30
5\30
8\30
9\30
12\30
13\30
14\30
17\30
18\30
21\30
22\30
25\30
26\30
29\30
30\30
37edo
Quasipelog minor
5\37
10\37
21\37
26\37
37\37

Quasipelog major
11\37
16\37
21\37
32\37
37\37

Quasipelog heptatonic
5\37
10\37
16\37
21\37
26\37
32\37
37\37

Quasipelog hexadecatonic 
1\37
5\37
6\37
10\37
11\37
15\37
16\37
17\37
21\37
22\37
26\37
27\37
31\37
32\37
36\37
37\37
39edo
Quasipelog minor
5\39
10\39
22\39
27\39
39\39

Quasipelog major
12\39
17\39
22\39
34\39
39\39

Quasipelog heptatonic
5\39
10\39
17\39
22\39
27\39
34\39
39\39

Quasipelog hexadecatonic 
2\39
5\39
7\39
10\39
12\39
15\39
17\39
19\39
22\39
24\39
27\39
29\39
32\39
34\39
37\39
39\39

B Lambeth's recommended QP minor scales

Quasipelog minor -2+3-5++6
Gestalt: diminished-like
1\16
5\16
8\16
13\16
16\16

1\23
7\23
11\23
19\23
23\23

1\30
9\30
14\30
25\30
30\30

''(mode 4 thereof)''
5\16
8\16
9\16
13\16
16\16

8\23
12\23
13\23
19\23
23\23

11\30
16\30
17\30
25\30
30\30

Quasipelog minor -2+3++6
Gestalt: diminished-like
1\16
5\16
9\16
13\16
16\16

1\23
7\23
13\23
19\23
23\23

1\30
9\30
17\30
25\30
30\30

Quasipelog minor-2-5
Gestalt: whole tone scale-like
1\16
4\16
8\16
11\16
16\16

1\23
6\23
11\23
16\23
23\23

1\30
8\30
14\30
21\30
30\30

Quasipelog minor+2
Gestalt: hirajoshi-like
3\16
4\16
9\16
11\16
16\16

4\23
6\23
13\23
16\23
23\23

5\30
8\30
17\30
21\30
30\30

Quasipelog minor +2++3-6
Gestalt: kokin-joshi-like
3\16
6\16
9\16
10\16
16\16

4\23
9\23
13\23
14\23
23\23

5\30
12\30
17\30
18\30
30\30

Quasipelog minor +2+3++6
Gestalt: mixolydian-like
3\16
5\16
9\16
13\16
16\16

4\23
7\23
13\23
19\23
23\23

5\30
9\30
17\30
25\30
30\30

Quasipelog minor-3
Gestalt: bebop-like
2\16
3\16
9\16
11\16
16\16

3\23
4\23
13\23
16\23
23\23

4\30
5\30
17\30
21\30
30\30

Quasipelog minor+3+6
Gestalt: major pentatonic-like
2\16
5\16
9\16
12\16
16\16

3\23
7\23
13\23
17\23
23\23

4\30
9\30
17\30
22\30
30\30

Quasipelog minor+3
Gestalt: major pentatonic-like
2\16
5\16
9\16
11\16
16\16

3\23
7\23
13\23
16\23
23\23

4\30
9\30
17\30
21\30
30\30

Quasipelog minor+5
Gestalt: pelog-like
2\16
4\16
10\16
11\16
16\16

3\23
6\23
14\23
16\23
23\23

4\30
8\30
18\30
21\30
30\30

Quasipelog minor-6
Gestalt: harmonic major-like
2\16
4\16
9\16
10\16
16\16

3\23
6\23
13\23
14\23
23\23

4\30
8\30
17\30
18\30
30\30

Quasipelog minor-plus-all (quasipelog minor+2+3+5+6)
Gestalt: whole tone scale-like
3\16
5\16
10\16
12\16
16\16

4\23
7\23
14\23
17\23
23\23

5\30
9\30
18\30
22\30
30\30

B Lambeth's recommended QP major scales

Quasipelog major -3
Gestalt: minor pentatonic-like
4\16
7\16
9\16
14\16
16\16

6\23
10\23
13\23
20\23
23\23

8\30
13\30
17\30
26\30
30\30

Quasipelog major+3+5+7
Gestalt: pelog-like
6\16
7\16
10\16
15\16
16\16

9\23
10\23
14\23
22\23
23\23

12\30
13\30
18\30
29\30
30\30

Quasipelog major-4
Gestalt: mixolydian-like
5\16
6\16
9\16
14\16
16\16

7\23
9\23
13\23
20\23
23\23

9\30
12\30
17\30
26\30
30\30

Quasipelog major+4+7
Gestalt: pelog-like
6\16
7\16
9\16
15\16
16\16

9\23
10\23
13\23
22\23
23\23

12\30
13\30
17\30
29\30
30\30

Quasipelog major+4
Gestalt: dorian-like
5\16
7\16
9\16
14\16
16\16

7\23
10\23
13\23
20\23
23\23

9\30
13\30
17\30
26\30
30\30

Quasipelog major-minus-all (quasipelog major-3-4-5-7)
Gestalt: iwato-like
4\16
6\16
8\16
13\16
16\16

6\23
9\23
11\23
19\23
23\23

8\30
12\30
14\30
25\30
30\30

Quasipelog major-plus-all (quasipelog major+3+4+5+7)
Gestalt: han-kumoi-like
6\16
8\16
10\16
15\16
16\16

9\23
12\23
14\23
22\23
23\23

12\30
16\30
18\30
29\30
30\30

B Lambeth's recommended altered QPH scales

Altered QPH 1,2-1,3-1,4+1,5,7-1
Gestalt: like the diminished scale
1\16
5\16
8\16
9\16
13\16
16\16

1\23
7\23
12\23
13\23
19\23
23\23

1\30
9\30
16\30
17\30
25\30
30\30

Altered QPH 1,2-1,4,6-1,7
Gestalt: like Messiean's modes
1\16
7\16
10\16
14\16
16\16

1\23
10\23
14\23
20\23
23\23

1\30
13\30
18\30
26\30
30\30

Altered QPH 1,2-1,3+1,4-1,5,7-1
Gestalt: phrygian dominant-like
1\16
5\16
6\16
9\16
13\16
16\16

1\23
7\23
9\23
13\23
19\23
23\23

1\30
9\30
12\30
17\30
25\30
30\30

Altered QPH 1,2,4,5,7
Gestalt: equipentatonic-like
2\16
7\16
9\16
14\16
16\16

3\23
10\23
13\23
20\23
23\23

4\30
13\30
17\30
26\30
30\30

Altered QPH 1,2,4,6,7
Gestalt: natural minor-like
2\16
7\16
11\16
14\16
16\16

3\23
10\23
16\23
20\23
23\23

4\30
13\30
21\30
26\30
30\30

Altered QPH 1,3,4,5-1,5,7-1
Gestalt: blues scale-like
4\16
7\16
8\16
9\16
13\16
16\16

6\23
10\23
12\23
13\23
19\23
23\23

8\30
13\30
16\30
17\30
25\30
30\30

Altered QPH 1,3,4,5,7
Gestalt: minor pentatonic-like
4\16
7\16
9\16
14\16
16\16

6\23
10\23
13\23
20\23
23\23

8\30
13\30
17\30
26\30
30\30

Altered QPH 1,3,5,6+1,7-1
Gestalt: lydian-like
6\23
13\23
17\23
19\23
23\23

8\30
17\30
22\30
25\30
30\30

Scales recommended by others

Wiki users: feel free to add some here. Leave your username too if you'd like so we know who recommended which scale.

Music


View • Talk • EditScale galleries
JI scales 12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI
Full list: Category:Just intonation scales
Tempered scales 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS (general) • MOS (11-tone) • MOS cradle • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered
Full list: Category:Tempered scales
Scales in EDOs in 9edo • 10 • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 58 • 60 • 72 • 80 • 84 • 87
All other scale gallery pages are included in Category:Lists of scales.
See also List of music software#Scale collections.
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