Xenharmonic Wiki

User:BudjarnLambeth/Quasipelog theory: Difference between revisions

← Older edit
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,837 edits
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,837 edits
 
(25 intermediate revisions by the same user not shown)
Line 4: Line 4:


''< [[30edo#Scales]]''
''< [[30edo#Scales]]''
''< [[37edo#Scales]]''


''< [[39edo#Scales]]''
''< [[39edo#Scales]]''
Line 10: Line 12:
{{Editable user page|Please don't remove any information unless it is offensive or mathematically incorrect, but feel free to add information or improve formatting.}}
{{Editable user page|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]], [[39edo]]).
'''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]]).


Quasipelog theory was developed by [[Budjarn Lambeth]] begininning in 2025.  
It is heavily inspired by Javanese, Balinese and Sundanese [[gamelan]] music theory; by the [[Armodue (theory)|Armodue school]] of music theory; and by [[Erv Wilson]]'s discovery and descriptions of [[MOS scale]]s.


It was 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 scale]]s.
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 ==
== Instruments and timbre ==
Line 24: Line 26:
* 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 29: Line 32:
* Woodwinds that have a timbre very close to a sine wave
* Woodwinds that have a timbre very close to a sine wave
* Overblown woodwinds
* Overblown woodwinds
''See also: [[Instruments]].''


== Scales ==
== Scales ==
Line 41: 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 69: Line 77:
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".
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".


=== The four essential quasipelog scales in edos ===
=== Quasipelog scales in edos ===


==== 16edo ====
==== Four main scales ====
 
; ''16edo''
<pre>
<pre>
Quasipelog minor
Quasipelog minor
Line 115: Line 125:
</pre>
</pre>


==== 23edo ====
; ''23edo''
<pre>
<pre>
Quasipelog minor
Quasipelog minor
Line 159: Line 169:
</pre>
</pre>


==== 30edo ====
; ''30edo''
<pre>
<pre>
Quasipelog minor
Quasipelog minor
Line 203: Line 213:
</pre>
</pre>


==== 39edo ====
; ''37edo''
<pre>
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
</pre>
 
; ''39edo''
<pre>
<pre>
Quasipelog minor
Quasipelog minor
Line 247: Line 301:
</pre>
</pre>


=== B Lambeth's recommended QP minor scales ===
==== B Lambeth's recommended QP minor scales ====


<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 266: 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 289: Line 384:


Quasipelog minor+2
Quasipelog minor+2
Gestalt: hirajoshi-like
3\16
3\16
4\16
4\16
Line 305: Line 401:
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
Line 327: Line 464:


Quasipelog minor+3+6
Quasipelog minor+3+6
Gestalt: major pentatonic-like
2\16
2\16
5\16
5\16
Line 346: Line 484:


Quasipelog minor+3
Quasipelog minor+3
Gestalt: major pentatonic-like
2\16
2\16
5\16
5\16
Line 365: Line 504:


Quasipelog minor+5
Quasipelog minor+5
Gestalt: pelog-like
2\16
2\16
4\16
4\16
Line 384: Line 524:


Quasipelog minor-6
Quasipelog minor-6
Gestalt: harmonic major-like
2\16
2\16
4\16
4\16
Line 403: 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 422: Line 564:
</pre>
</pre>


=== B Lambeth's recommended QP major scales ===
==== B Lambeth's recommended QP major scales ====


<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 445: Line 608:


Quasipelog major-4
Quasipelog major-4
Gestalt: mixolydian-like
5\16
5\16
6\16
6\16
Line 464: Line 628:


Quasipelog major+4+7
Quasipelog major+4+7
Gestalt: pelog-like
6\16
6\16
7\16
7\16
Line 483: Line 648:


Quasipelog major+4
Quasipelog major+4
Gestalt: dorian-like
5\16
5\16
7\16
7\16
Line 502: 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 521: 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 527: 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>


=== BLambeth's recommended altered QPH scales ===
==== B Lambeth's recommended altered QPH scales ====


<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 550: Line 785:
16\16
16\16


6\23
3\23
10\23
10\23
13\23
13\23
Line 556: Line 791:
23\23
23\23


8\30
4\30
13\30
13\30
17\30
17\30
Line 563: 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 581: 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 588: Line 848:
16\16
16\16


3\23
6\23
10\23
10\23
13\23
13\23
Line 594: 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>
==== 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 ==
* [https://www.youtube.com/watch?v=y7D0ZgCZlEg ''Waking with a fever before sunrise''] - [[Budjarn Lambeth]] (2026)


{{Navbox scale gallery}}
{{Navbox scale gallery}}


[[Category:16edo]][[Category:23edo]][[Category:30edo]][[Category:39edo]][[Category:Mavila]]
[[Category:16edo]][[Category:23edo]][[Category:30edo]][[Category:37edo]][[Category:39edo]][[Category:Mavila]][[Category:Gamelan]]
Retrieved from "https://en.xen.wiki/w/User:BudjarnLambeth/Quasipelog_theory"