Xenharmonic Wiki

Maeve Gutierrez: Difference between revisions

← Older edit
VisualWikitext
BudjarnLambeth (talk | contribs)
autopatrolled, emailconfirmed
21,262 edits
No edit summary
Tags: Visual edit Mobile edit Mobile web edit
 
(72 intermediate revisions by 3 users not shown)
Line 1: Line 1:
'''Maeve Gutierrez''' is a producer of [[microtonal]] hyperpop, ambient and other experimental electronic music. In her music, she has explored [[27edo]], [[31edo]] and various [[just intonation]] scales among other tunings. She is also a music theorist who extensively uses [[Scale Workshop]].
'''Maeve Gutierrez''' is a producer of [[microtonal]] hyperpop, ambient and other experimental electronic music. In her music, she has explored [[27edo]], [[31edo]], [[36edo]] and various [[just intonation]] scales among other tunings. She is also a music theorist who extensively uses [[Scale Workshop]]. She is the number one fan of the 7/6 subminor third.


== Discography and socials ==
== Discography and socials ==
* [https://www.instagram.com/m43v3.wav/ Maeve Gutierrez on Instagram]
* [https://www.instagram.com/m43v3.wav/ Maeve Gutierrez on Instagram]
* [https://music.apple.com/sa/artist/maeve-gutierrez/1754562060 Maeve Gutierrez on Apple Music]
* [https://music.apple.com/sa/artist/maeve-gutierrez/1754562060 Maeve Gutierrez on Apple Music]
* [https://open.spotify.com/artist/2Db6qdVgx5XP4BHsFndAtA Maeve Gutierrez on Spotify]


== Invented scales and chords ==
== Invented scales and chords (named) ==
{{Idiosyncratic terms|Names of scales made up by [[Budjarn Lambeth]] for the purpose of documentation; if Gutierrez names the scales at some point, Gutierrez's names should be used instead.}}
'''septimal subphrygian d4 d5'''


=== Reduced 3ed7/3 subminor pentatonic scale ===
<small>subminor-coloured scales often use subminor 3rds, 6ths, and 7ths. i realized through experimentation that flattening the 2nds, 4ths, and 5ths by a similar amount that the minor 3rd, 6th, and 7th are flattened creates really pretty scales!! i have made a few submajor, subminor, and subdorian scales using this method, but this septimal scale is my favourite so far:</small>
In a public post on the [[Xenharmonic Alliance]] Discord server, in October 2025, Gutierrez described the following [[pentatonic]] tempered scale:
* 266.9
* 489.0
* 755.8
* 977.9
* 1200.0
It is all the intervals in 3ed7/3 up to its sharp tritave, but [[octave-reduced]]. It creates a subminor pentatonic scale near 5edo with a better 4/3 and 7/6, but with a 14/9 instead of a 3/2. (Which is quite a bit more [[xenharmonic]].)


=== 6ed7/3''+''7edo scale ===
<small>[[21/20]] subminor 2nd (84.467 cents)</small>
{{main|6ed7/3#6ed7/3+7edo scale}}


=== 7/6s-and-4/3s scale ===
<small>[[7/6]] subminor 2nd (266.871 cents)</small>
In a public post on the [[Xenharmonic Alliance]] Discord server, in October 2025, Gutierrez described the 8-tone JI scale:
* 28/27 - 7/6 - 4/3 - 112/81 - 14/9 - 392/243 - 16/9 - 2/1


It has step pattern:
<small>[[21/16]] sub 4th (470.781 cents)</small>
* 28/27 - 9/8 - 8/7 - 28/27 - 9/8 - 28/27 - 54/49 - 9/8


She recommended tempering it to [[36edo]], where it has step pattern:
<small>[[28/19]] sub 5th/🐺(671.313 cents)</small>
* 2 6 7 2 6 2 5 6


It contains within it the 2-tone, [[4/3]]-[[period|repeating]] scale:
<small>[[14/9]] subminor 6th (764.916 cents)</small>
* 7/6 - 4/3


Which Gutierrez recommends using as either a JI chord or as a scale in its own right.
<small>[[7/4]] subminor/harmonic 7th (968.826)</small>


=== Gutierrez-Lambeth quasi-subharmonic pentatonic ===
<small>[[2/1]] octave (1200c)</small>
In a public post on the [[Xenharmonic Alliance]] Discord server, in September 2025, Gutierrez described the 4-tone JI chord 7/6 - 40/27 - 11/5 - 7/2.


In a reply, [[Budjarn Lambeth]] noted that the shape of the step pattern looked like the [[subharmonic series]], and adding a 6/1 would preserve this shape.
'''Lavender hexatonic scale'''


Gutierrez thought the 6/1 was a great addition and resolved to use this scale/chord in a future piece.
<small>i designed this scale to have a soft, dreamlike sound! it is very xenharmonic, but not very dissonant. it is used in my song "lavender".</small>


Its intervals are:
[[12/11]] neutral 2nd (150.637 cents)
* 7/6
* 40/27
* 11/5
* 7/2
* 6/1


[[Ed6]]s with especially good approximations of this scale for their size are:
[[7/6]] subminor 3rd (266.871 cents)
* {{ED6s|23, 36, 46, 59, 69, 70, 72, 73, 79, 82, 96, 104, 113, 114, 127, 137, 150...}}


[[Edo]]s with especially good approximations of this scale for their size are:
[[21/16]] sub4th (470.781 cents)
* {{EDOs|37, 58, 67, 72, 94, 108, 109, 118, 125, 166, 176, 212, 224, 270...}}


==== ''Octave-reduced variant'' ====
[[105/64]] neutral 6th (857.09 cents)
This works well in the same edos the regular scale does. You can choose to keep or leave the 3/2 (reduced 6/1):
* 11/10
* 7/6
* 40/27
* 3/2 (optional)
* 7/4
* 2/1


When tempered to [[37edo]], the step pattern for the reduced scale is:
[[44/25]] subminor 7th (978.691 cents)
* 5 3 13 9 7
* (identical to original scale within 7.5{{c}})


When tempered to [[58edo]], the step pattern for the reduced scale is:
[[2/1]] octave/unison
* 8 5 20 14 11
* (identical to original scale within 4{{c}})


When tempered to [[67edo]], the step pattern for the reduced scale is:
=== 6ed7/3''+''7edo scale ===
* 9 6 23 16 13
{{main|6ed7/3#6ed7/3+7edo scale}}
* (identical to original scale within 4{{c}})
 
When tempered to [[72edo]], the step pattern for the reduced scale is:
* 10 6 25 17 14
* (identical to original scale within 3{{c}})
 
When tempered to [[270edo]], the step pattern for the reduced scale is:
* 37 23 93 65 52
* (identical to original scale within 0.6{{c}})
 
=== Moon dust chord ===
In a public post on the [[Xenharmonic Alliance]] Discord server, in September 2025, Gutierrez described the following [[nonoctave]], 7-tone [[just intonation]] chord:
* 11/9 - 19/7 - 3/1 - 19/4 - 7/1 - 9/1 - 11/1
 
[[Budjarn Lambeth]] was inspired by this chord to create the [[moon dust]] scale, in which Gutierrez's chord and subsets thereof is the most foundational consonance.


=== Moonglade scale ===
=== Gutierrez Moonglade scale ===
In a public post on the [[Xenharmonic Alliance]] Discord server, in September 2025, Gutierrez described the 24-tone scale she used in her piece 'Moonglade'.  
In a public post on the [[Xenharmonic Alliance]] Discord server, in September 2025, Gutierrez described the 24-tone scale she used in her pieces 'moonglade' and "la helada".  


This was the post:
This was the post:
Line 107: Line 61:
"
"


==== Intervals ====
This is the scale in [[cent]]s:  
This is the scale in [[cent]]s:  
* 14.
* 14.
Line 133: Line 88:
* 1200.
* 1200.


==== Theory ====
Edos that approximate the Moonglade scale especially well for their size include:
Edos that approximate the Moonglade scale especially well for their size include:
* {{EDOs|64, 72, 78, 80, 84, 90, 107, 120, 144, 162, 186, 258, 270...}}
* {{EDOs|64, 72, 78, 80, 84, 90, 107, 120, 144, 162, 186, 258, 270...}}


[[Detempering]] in [[19-limit]] just intonation:
[[Detempering]] in [[23-limit]] just intonation:
* 121/120 — 20/19 — 10/9 — 9/8 — 13/11 — 6/5 — 5/4 — 4/3 — 23/17 — 7/5 — 40/27 — 3/2 — 50/33 — 11/7 — 33/20 — 5/3 — 7/4 — 23/13 — 9/5 — 224/121 — 13/7 — 17/9 — 65/33 — 2/1
* 121/120 — 20/19 — 10/9 — 9/8 — 13/11 — 6/5 — 5/4 — 4/3 — 23/17 — 7/5 — 40/27 — 3/2 — 50/33 — 11/7 — 33/20 — 5/3 — 7/4 — 23/13 — 9/5 — 224/121 — 13/7 — 17/9 — 65/33 — 2/1
* (identical to original scale within 5{{c}})
* (identical to original scale within 5{{c}})
Line 147: Line 103:
* 3 17 22 3 20 5 17 25 5 14 22 5 3 16 18 4 19 5 5 12 2 6 17 5
* 3 17 22 3 20 5 17 25 5 14 22 5 3 16 18 4 19 5 5 12 2 6 17 5
* (identical to original scale within 1{{c}})
* (identical to original scale within 1{{c}})
[[Category:24-tone scales]]
[[Category:Tempered scales]]


=== Sun-after-a-storm pentachord ===
=== Gutierrez sunbreak scale ===
This is a JI chord which can also be used as a [[pentatonic]] scale. Gutierrez first described it on the [[Xenharmonic Alliance]] Discord server in October 2025, where she described it as a "very bright minor, like the sun coming out after a storm". Its intervals are:
This is a JI chord which can also be used as a [[pentatonic]] scale. Gutierrez first described it on the [[Xenharmonic Alliance]] Discord server in October 2025, where she described it as a "very bright minor, like the sun coming out after a storm". Its intervals are:
* 20/17
* 20/17
Line 155: Line 113:
* 16/9
* 16/9
* 2/1
* 2/1
It is a [[17-limit]] scale.


Budjarn Lambeth then noted that, if used as a scale, it works very well with many of the aperiodic timbres in [[Scale Workshop]] (jegogan, jublag, ugal, gender, bronze, steel, silver and platinum). He described it as sounding like "a coral reef full of sea shells and whimsical little sea creatures" and provided this [https://scaleworkshop.plainsound.org/scale/PJt1wZJDl Scale Workshop preset] for it.
Budjarn Lambeth then noted that, if used as a scale, it works very well with many of the aperiodic timbres in [[Scale Workshop]] (jegogan, jublag, ugal, gender, bronze, steel, silver and platinum). He described it as sounding like "a coral reef full of sea shells and whimsical little sea creatures" and provided this [https://scaleworkshop.plainsound.org/scale/PJt1wZJDl Scale Workshop preset] for it.


According to Lambeth, sun-after-a-storm also sounds good tuned to [[34edo]] or [[95edo]].
According to Lambeth, sunbreak also sounds good tuned to [[34edo]] or [[95edo]] when using these kinds of timbres.
[[Category:5-tone scales]]
[[Category:Just intonation scales]]


== See also ==
==== ''Lambeth's variants'' ====
* [[13ed8/3]] (a scale first described by Gutierrez)
{{Idiosyncratic terms}}
Later in October 2025, [[Budjarn Lambeth]] created these variants of the sunbreak scale.
 
; Negative harmony sunbreak
* (5-tone)
* 9/8 — 14/11 — 34/25 — 17/10 — 2/1
 
; Mirrored sunbreak
Negative harmony sunbreak + original sunbreak.
* (9-tone)
* 9/8 — 20/17 — 14/11 — 34/25 — 25/17 — 11/7 — 17/10 — 16/9 — 2/1
 
; Chromaticized sunbreak
Mirrored sunbreak + 3 intervals found between the intervals of original sunbreak.
* (12-tone)
* 187/175 - 9/8 — 20/17 — 14/11 — 34/25 — 25/17 — 280/187 - 11/7 — 17/10 — 16/9 — 350/187 - 2/1
 
; Fractalized sunbreak
Every [[mode]] (rotation) of original sunbreak, overlayed onto one scale.
* (21-tone)
* 187/175 — 9/8 — 112/99 — 20/17 — 272/225 — 5/4 — 14/11 — 45/34 — 187/140 — 34/25 — 25/17 — 280/187 — 68/45 — 11/7 — 8/5 — 225/136 — 17/10 — 99/56 — 16/9 — 350/187 — 2/1
 
=== Gutierrez wisp scale ===
This 8-tone scale was described by Gutierrez in October 2025, on the [[Xenharmonic Alliance]] Discord server. In [[cents]], its intervals are:
* 266.87
* 484.92
* 669.28
* 936.15
* 1154.20
* 1338.56
* 1466.87
* 1698.05
 
Gutierrez recommends using the wisp scale with custom [[timbre]]s, where some instruments have a 'stretched harmonic series' of partials stretched such that 2/1 becomes 7/3, and other instruments with partials stretched such that 2/1 becomes 8/3. This is an example of xentimbre.
 
==== Construction ====
 
If you start with the [[JI]] chord:
* 1/1 — 5/4 — 3/2 — 7/4
Then compress it logarithmically such that 5/4 becomes 7/6, you get the [[delta-rational]] chord:
* 0¢ — 266.9¢ — 484.9¢ — 669.3¢
 
If you stack a second copy of the same chord on top of itself you get the scale:
* 266.87
* 484.92
* 669.28
* 936.15
* 1154.20
* 1338.56
 
Then you can add a 7/3 and 8/3 to the end and you get Gutierrez's scale.
 
==== Theory ====
The wisp scale closely approximates the JI chord
* 42:49:56:62:72:82:91:98:112
Which occurs above the tonic in [[42afdo]], the second octave of the over-7-and-3 semiprime mode in [[primodality]] theory - it also occurs (somewhere in the scale) in all [[afdo]]s above 42.
 
JI intervals approximated by the wisp scale:
* 266.87 (7/6)
* 484.92 (4/3)
* 669.28
* 936.15 (12/7)
* 1154.20
* 1338.56 (13/6)
* 1466.87 (7/3)
* 1698.05 (8/3)
 
EDOs that approximate the wisp scale better than any smaller EDO include:
{{EDOs|27, 45, 49, 50, 72, 77, 104, 181...}}
 
As absolute steps of 27edo it is:
* 6\27, 11\27, 15\27, 21\27, 26\27, 30\27, 33\27, 38\27
38\27 being a [[period]] after which the scale repeats.
[[Category:8-tone scales]]
[[Category:Tempered scales]]
[[Category:Nonoctave]]
 
==== Gutierrez doubled wisp scale ====
In December 2025, Gutierrez made this variant of the wisp scale by duplicating the chord made from the first 4 notes of the wisp scale, offset by 30 cents, until it fills the octave. She described it as 'adding shimmers and some more familiar intervals' and having a "very mysterious sound".
 
<pre>30.000
266.871
296.871
484.920
514.920
669.278
699.278
936.149
966.149
1200.000</pre>
 
==== Will-o-wisps' scale ====
A variant of the wisp scale created by [[Budjarn Lambeth]]. It repeats at the double octave ([[4/1]]).
 
It is a [[JI]] scale as follows:
*7/6, 4/3, 3/2, 9/5, 2/1, 13/6, 7/3, 8/3, 3/1, 17/5, 19/5, 4/1
This is a no-11s [[19-limit]] scale.
 
It can be approximated into [[27edo]]. As absolute steps of 27edo it is:
* 6\27, 11\27, 16\27, 23\27, 27\27, 30\27, 33\27, 38\27, 43\27, 48\27, 52\27, 54\27
54\27 being a [[period]] after which the scale repeats.
 
; Music
[https://www.youtube.com/watch?v=JrpcIkElKQc ''Will-O-Wisps''] - Budjarn Lambeth (2025)
 
== Invented scales and chords (unnamed) ==
{{Idiosyncratic terms|Names of scales made up by [[Budjarn Lambeth]] for the purpose of documentation; if Gutierrez names the scales at some point, Gutierrez's names should be used instead.}}
 
=== Generator sequence 7/6, 9/8, 8/7 (4/1 period, 10-tone) ===
Gutierrez described this scale in December 2025: "the 2 octaves have similar notes (with the semiflat 4 or 11 existing in both) so it can be fun to play the same melody in both octaves for a shimmery sound which works well with bell-like timbres, but the second octave also allows chord extentions like subminor maj9 or susd4maj13"
 
<pre>
7/6        267c    sin3
21/16    471c    semiflat4
3/2        702c    perfect 5
7/4        969c    harm7
63/32    1173c  suboctave
9/4        1404c  maj9             
21/8      1671c  semiflat 11 
189/64  1875c  🐺 tritave     
27/8      2106c  maj13   
4/1        2400c  octave
</pre>
 
=== Generator sequence 11/6, 13/8 (2/1 period, 10-tone) ===
''(Described December 2025.)''
<pre>
224939/221184
20449/18432
4599777611/4076863488
418161601/339738624
1573/1152
143/96
32166277/21233664
2924207/1769472
11/6
2/1
</pre>
 
=== Generator sequence 200, 171.429 (2/1 period) with pure 7/4 added ===
Gutierrez described this scale in April 2026:
 
<pre>
200.000
371.429
571.429
742.858
942.858
968.892
1114.287
1200.000
</pre>
 
[https://scaleworkshop.plainsound.org/scale/d4y1I100G (Scale Workshop url)]
 
Budjarn Lambeth tested this scale in all [[afdo]]s and [[edo]]s up to 100, and he believes it sounds best in: [[72afdo]], [[84afdo]], [[52edo]], [[67edo]] and [[84edo]].
 
==== Gutierrez-Lambeth otonal neutral hexatonic ====
[[Budjarn Lambeth]] made a variant of Maeve's scale by taking a 6-tone subset and then moving individual intervals around by a [[chroma]] until he could 'play the melody he was hearing in his head':
 
<pre>
371.429
571.429
685.718
857.148
968.892
1200.000
</pre>
 
Budjarn Lambeth tested this scale in all [[afdo]]s and [[edo]]s up to 100, and he believes it sounds best in: '''[[25afdo]]''', [[72afdo]], [[84afdo]], [[52edo]], [[67edo]] and [[84edo]].
 
<pre>31/25
35/25
37/25
41/25
44/25
50/25
 
89/72
100/72
107/72
118/72
126/72
144/72
 
104/84
117/84
125/84
138/84
147/84
168/84
 
16\52
25\52
30\52
37\52
42\52
52\52
 
21\67
32\67
38\67
48\67
54\67
67\67
 
26\84
40\84
48\84
60\84
68\84
84\84
 
27\88
42\88
50\88
63\88
71\88
88\88</pre>
 
=== Gutierrez 7/6s-and-4/3s scale ===
In a public post on the [[Xenharmonic Alliance]] Discord server, in October 2025, Gutierrez described the 8-tone JI scale:
* 28/27 — 7/6 — 4/3 — 112/81 — 14/9 — 392/243 — 16/9 — 2/1
It is a [[7-limit]] scale.
 
She recommended tempering it to [[36edo]], where it has step pattern:
* 2 6 7 2 6 2 5 6
 
It contains within it a 2-tone, [[4/3]]-[[period|repeating]] scale which Gutierrez recommends using as either a JI chord or as a scale in its own right.:
* 7/6 — 4/3
 
EDOs that approximate the 7/6s-and-4/3s scale well for their size include:
* {{EDOs|36, 41, 58, 72, 77, 94, 99, 113, 135...}}
 
EDOs that approximate it better than any smaller EDO include:
* {{EDOs|36, 58, 77, 94, 135...}}
 
It is closely approximated in [[54afdo|54]][[afdo]], by the JI chord:
* 54:56:63:72:75:84:87:96:108
[[Category:8-tone scales]]
[[Category:Just intonation scales]]
 
=== Gutierrez 11/1-period heptachord ===
In a public post on the [[Xenharmonic Alliance]] Discord server, in September 2025, Gutierrez described the following [[nonoctave]], 7-tone [[just intonation]] chord:
* 11/9 — 19/7 — 3/1 — 19/4 — 7/1 — 9/1 — 11/1
It is a [[19-limit]] chord.
 
[[Budjarn Lambeth]] was inspired by this chord to create the [[moon dust]] scale, in which Gutierrez's chord and subsets thereof is the most foundational consonance.
 
[[EDO]]s that approximate the chord well for their size include:
* {{EDOs|31, 41, 48, 72, 89, 104...}}
 
[[EDT]]s that approximate the chord better than any smaller EDT include:
* {{EDTs|22, 34, 43, 65, 88, 110...}}
[[65edt]] also includes the [[Bohlen-Pierce scale]] allowing this chord to be used above any degree of that scale.
 
The chord is closely approximated in [[63afdo|63]][[afdo]], as the JI chord:
* 63:77:171:189:299:441:567:693
[[Category:7-tone scales]]
[[Category:Just intonation scales]]
[[Category:Nonoctave]]
 
=== Gutierrez Dec 2025 6-tone 12afdo subset ===
<pre>
13/12
7/6
4/3
3/2
10/6
7/4
2/1
</pre>
 
=== Gutierrez double primodal scales ===
These are to [[primodal]] scales what [[bihexany]]s are to [[hexany]]s (two copies of the scale offset by some [[just]] interval).
 
==== 17 Feb 2026 ====
<pre>
a fun subminor double primodal scale (6th mode of harmonics 7-14, scale duplicated at 78/77 comma around 22 cents)
 
fraction      ~cents      name             
 
1/1(2/1)      0 (1200)  unison/octave
78/77          22              comma         
 
13/12          139            small neu2
169/154      161            big neu2
 
7/6                267            sin7
13/11          289            min3
 
4/3                498            perf4
104/77        520            super4
 
3/2                702            perf5
117/77        724            semiaug 5
 
5/3                884            small maj6
130/77        907            big maj6
 
11/6            1049          neu7
13/7            1072          submaj7
</pre>
 
==== 19 Feb 2026 ====
<pre>
a fun subminor double primodal scale (6th mode of harmonics 7-14, scale duplicated at 78/77 comma around 22 cents)
 
fraction      ~cents      name             
 
1/1(2/1)      0 (1200)  unison/octave
78/77          22              comma         
 
13/12          139            small neu2
169/154      161            big neu2
 
7/6                267            sin7
13/11          289            min3
 
4/3                498            perf4
104/77        520            super4
 
3/2                702            perf5
117/77        724            semiaug 5
 
5/3                884            small maj6
130/77        907            big maj6
 
11/6            1049          neu7
13/7            1072          submaj7
</pre>
 
=== Gutierrez-Lambeth quasi-subharmonic pentatonic ===
In a public post on the [[Xenharmonic Alliance]] Discord server, in September 2025, Gutierrez described the 4-tone JI chord 7/6 - 40/27 - 11/5 - 7/2.
 
In a reply, [[Budjarn Lambeth]] noted that the shape of the step pattern looked like the [[subharmonic series]], and adding a 6/1 would preserve this shape.
 
Gutierrez thought the 6/1 was a good addition and resolved to use this scale/chord in a future piece.
 
Its intervals are:
* 7/6
* 40/27
* 11/5
* 7/2
* 6/1
 
It is an [[11-limit]] scale.
 
[[Ed6]]s with especially good approximations of this scale for their size are:
* {{EDs|equave=6|23, 36, 46, 59, 69, 70, 72, 73, 79, 82, 96, 104, 113, 114, 127, 137, 150...}}
 
[[Edo]]s with especially good approximations of this scale for their size are:
* {{EDOs|37, 58, 67, 72, 94, 108, 109, 118, 125, 166, 176, 212, 224, 270...}}
 
It is closely approximated in [[60afdo]], by the JI chord:
* 60:70:89:132:210:360
[[Category:5-tone scales]]
[[Category:Just intonation scales]]
[[Category:Nonoctave]]
 
==== ''Octave-reduced variant'' ====
This works well in the same edos the regular scale does. You can choose to keep or leave the 3/2 (reduced 6/1):
* 11/10
* 7/6
* 40/27
* 3/2 (optional)
* 7/4
* 2/1
 
When tempered to [[37edo]], the step pattern for the reduced scale is:
* 5 3 13 9 7
* (identical to original scale within 7.5{{c}})
 
When tempered to [[58edo]], the step pattern for the reduced scale is:
* 8 5 20 14 11
* (identical to original scale within 4{{c}})
 
When tempered to [[67edo]], the step pattern for the reduced scale is:
* 9 6 23 16 13
* (identical to original scale within 4{{c}})
 
When tempered to [[72edo]], the step pattern for the reduced scale is:
* 10 6 25 17 14
* (identical to original scale within 3{{c}})
 
When tempered to [[270edo]], the step pattern for the reduced scale is:
* 37 23 93 65 52
* (identical to original scale within 0.6{{c}})
 
=== Gutierrez slendric plural-octave scale ===
Gutierrez described this scale in December 2025: "using a period of 7/4 on slendric generator sequence gives you alot of near-octaves so each octave is a different mode of the same scale"
 
<pre>8/7
21/16
3/2
12/7
7/4 (period)
2/1
147/64
21/8
3/1
49/16
7/2
1029/256
147/32
21/4
343/64
49/8
7203/1024
1029/128
147/16
2401/256
343/32
50421/4096
7203/512
1029/64
16807/1024 (5 periods)</pre>
 
== Other discoveries ==
; October 2025
Gutierrez was the first to explore [[13ed8/3]] as a possible tuning, describing its uses on the [[Xenharmonic Alliance]] Discord server.
 
== Scale recommendations ==
If a composer likes Gutierrez's original scales, they may also like scales by other theorists which Gutierrez has recommended using. These are some examples of those:
 
; [[Cloudtone]][10] in [[45edo]]
If you take two copies of [[5edo]] and offset them from each other by 27{{c}}, you get a scale almost exactly the same (within 0.34{{c}}) as the cloudtone[10] [[MOS scale]] in 45edo. This scale is good for [[dual-fifth]] usage.
* Step pattern: 8 1 8 1 8 1 8 1 8 1 ([[5L 5s]])
 
; [[Decimetra]][20] in [[90edo]]
If you take two copies of [[10edo]] and offset them from each other by 27{{c}}, you get a scale almost exactly the same (within 0.34{{c}}) as the decimetra[20] [[MOS scale]] in 90edo.
* Step pattern: 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 7 2 ([[10L 10s]])
 
; [[31edo modes|Superlydian b7 d6]] in [[31edo]]
Gutierrez: "F# [[31edo]] superlydian b7 d6 (5 7 3 3 4 4 5) has a very bright sound & has a good mix of [[consonance]] & [[dissonance]]... could also work in 24edo."
* Step pattern: 5 7 3 3 4 4 5
 
; [[Superpyth]][5] in [[27edo]]
If you take all the intervals of [[3ed7/3]] up to its sharp [[tritave]] and octave-reduce them, you get a scale almost exactly the same (within 0.25{{c}}) as the superpyth[5] [[MOS scale]] in 27edo. This scale sounds somewhere in between [[12edo]] pentatonic and [[5edo]] equipentatonic.
* Step pattern: 6 5 6 5 5 ([[2L 3s]])
 
{{Navbox scale gallery}}


[[Category:People]]
[[Category:People]]
[[Category:Composers]]
[[Category:Composers]]
[[Category:Theorists]]
[[Category:Theorists]]
[[Category:24-tone scales]]
[[Category:6-tone scales]]
[[Category:5-tone scales]]
[[Category:Tempered scales]]
[[Category:Just intonation scales]]
[[Category:19-limit]]
Retrieved from "https://en.xen.wiki/w/Maeve_Gutierrez"