Maeve Gutierrez: Difference between revisions

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=== 6ed7/3''+''7edo scale ===
=== 6ed7/3''+''7edo scale ===
{{main|6ed7/3#6ed7/3+7edo scale}}
{{main|6ed7/3#6ed7/3+7edo scale}}
=== Generator sequence 7/6, 9/8, 8/7 (4/1 period) ===
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>


=== Gutierrez Moonglade scale ===
=== Gutierrez Moonglade scale ===
Line 87: Line 71:
[[Category:24-tone scales]]
[[Category:24-tone scales]]
[[Category:Tempered scales]]
[[Category:Tempered scales]]
==== 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>


=== Gutierrez sunbreak scale ===
=== Gutierrez sunbreak scale ===
Line 240: Line 195:
== Invented scales and chords (unnamed) ==
== 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.}}
{{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) ===
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>


=== Gutierrez 11/1-period heptachord ===
=== Gutierrez 11/1-period heptachord ===
Line 339: Line 310:
* 37 23 93 65 52
* 37 23 93 65 52
* (identical to original scale within 0.6{{c}})
* (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 ==
== Other discoveries ==

Revision as of 01:13, 17 December 2025

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.

Discography and socials

Invented scales and chords (named)

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 piece 'Moonglade'.

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 19-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)

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

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 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-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.

Gutierrez's 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 ¢, 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)
Decimetra[20] in 90edo

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)
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 ¢) 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)