Maeve Gutierrez: Difference between revisions
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</pre> | </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: [[25afdo]], [[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> | |||
Because the underlying period-generator structure of this scale is near-identical to the original, just chroma shifted, it is also a good fit for: [[25afdo]], [[72afdo]], [[84afdo]], [[52edo]], [[67edo]] and [[84edo]]. Here is how it's tuned in those tunings: | |||
<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 === | === Gutierrez 7/6s-and-4/3s scale === | ||
| Line 302: | Line 363: | ||
[[Category:8-tone scales]] | [[Category:8-tone scales]] | ||
[[Category:Just intonation 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 === | === Gutierrez Dec 2025 6-tone 12afdo subset === | ||
Revision as of 04:39, 5 May 2026
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.
Discography and socials
Invented scales and chords (named)
septimal subphrygian d4 d5
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:
21/20 subminor 2nd (84.467 cents)
7/6 subminor 2nd (266.871 cents)
21/16 sub 4th (470.781 cents)
28/19 sub 5th/🐺(671.313 cents)
14/9 subminor 6th (764.916 cents)
7/4 subminor/harmonic 7th (968.826)
2/1 octave (1200c)
Lavender hexatonic scale
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".
12/11 neutral 2nd (150.637 cents)
7/6 subminor 3rd (266.871 cents)
21/16 sub4th (470.781 cents)
105/64 neutral 6th (857.09 cents)
44/25 subminor 7th (978.691 cents)
2/1 octave/unison
6ed7/3+7edo 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 pieces 'moonglade' and "la helada".
This was the post:
"
i would like to share a custom scale i made (& used in my song "moonglade" which is on all distrokid-supported streaming platforms, in the ep "luna" by maeve gutierrez (me)). i focused mainly on shimmery intervals/textures like wolf tones and commas, but also included some pure/JI consonances & there is also plenty of dissonance/tension available
alot of the intervals also exist between intervals: flat whole tone is a -14 comma lower than the whole tone, the harmonic major chord triad (+0,+386,+969) has a natural +583 tritone between the 3rd and 7th, etc!
obviously if anyone wants 2 use it u can!! i dont own the intervals!!! its a fun scale to play with for harmony/thick chords
(moonglade is a very old word that means the moonlight shining on oceans, lakes etc)
"
Intervals
This is the scale in cents:
- 14.
- 88.
- 187.
- 201.
- 289.
- 311.
- 386.
- 498.
- 520.
- 583.
- 680.
- 702.
- 716.
- 787.
- 867.
- 884.
- 969.
- 991.
- 1013.
- 1066.
- 1076.
- 1102.
- 1178.
- 1200.
Theory
Edos that approximate the Moonglade scale especially well for their size include:
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
- (identical to original scale within 5 ¢)
When tempered to 72edo, the step pattern for the Moonglade scale is:
- 1 4 6 1 5 2 4 7 1 4 6 1 1 4 5 1 5 1 2 3 1 1 5 1
- (identical to original scale within 8 ¢)
When tempered to 270edo, the step pattern for the Moonglade scale is:
- 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 ¢)
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:
- 20/17
- 25/17
- 11/7
- 16/9
- 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 Scale Workshop preset for it.
According to Lambeth, sunbreak also sounds good tuned to 34edo or 95edo when using these kinds of timbres.
Lambeth's variants
| 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. |
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 timbres, 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 afdos 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: 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.
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".
30.000 266.871 296.871 484.920 514.920 669.278 699.278 936.149 966.149 1200.000
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
Will-O-Wisps - Budjarn Lambeth (2025)
Invented scales and chords (unnamed)
| 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: 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"
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
Generator sequence 11/6, 13/8 (2/1 period, 10-tone)
(Described December 2025.)
224939/221184 20449/18432 4599777611/4076863488 418161601/339738624 1573/1152 143/96 32166277/21233664 2924207/1769472 11/6 2/1
Generator sequence 200, 171.429 (2/1 period) with pure 7/4 added
Gutierrez described this scale in April 2026:
200.000 371.429 571.429 742.858 942.858 968.892 1114.287 1200.000
Budjarn Lambeth tested this scale in all afdos and edos up to 100, and he believes it sounds best in: 25afdo, 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':
371.429 571.429 685.718 857.148 968.892 1200.000
Because the underlying period-generator structure of this scale is near-identical to the original, just chroma shifted, it is also a good fit for: 25afdo, 72afdo, 84afdo, 52edo, 67edo and 84edo. Here is how it's tuned in those tunings:
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
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-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 that approximate it better than any smaller EDO include:
It is closely approximated in 54afdo, by the JI chord:
- 54:56:63:72:75:84:87:96:108
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.
EDOs that approximate the chord well for their size include:
EDTs that approximate the chord better than any smaller EDT include:
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, as the JI chord:
- 63:77:171:189:299:441:567:693
Gutierrez Dec 2025 6-tone 12afdo subset
13/12 7/6 4/3 3/2 10/6 7/4 2/1
Gutierrez double primodal scales
These are to primodal scales what bihexanys are to hexanys (two copies of the scale offset by some just interval).
17 Feb 2026
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
19 Feb 2026
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
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.
Ed6s with especially good approximations of this scale for their size are:
Edos with especially good approximations of this scale for their size are:
It is closely approximated in 60afdo, by the JI chord:
- 60:70:89:132:210:360
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 ¢)
When tempered to 58edo, the step pattern for the reduced scale is:
- 8 5 20 14 11
- (identical to original scale within 4 ¢)
When tempered to 67edo, the step pattern for the reduced scale is:
- 9 6 23 16 13
- (identical to original scale within 4 ¢)
When tempered to 72edo, the step pattern for the reduced scale is:
- 10 6 25 17 14
- (identical to original scale within 3 ¢)
When tempered to 270edo, the step pattern for the reduced scale is:
- 37 23 93 65 52
- (identical to original scale within 0.6 ¢)
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"
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)
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:
If you take two copies of 5edo and offset them from each other by 27 ¢, you get a scale almost exactly the same (within 0.34 ¢) 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)
If you take two copies of 10edo and offset them from each other by 27 ¢, you get a scale almost exactly the same (within 0.34 ¢) 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)
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
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 ¢) 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)
| 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 | 11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered Full list: Category:Tempered scales |
| Scales in EDOs | in 10edo • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 33 • 34 • 35 • 36 • 37 • 38 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 72 • 80 |
All other scale gallery pages are included in Category:Lists of scales | |