Maeve Gutierrez: Difference between revisions

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Invented scales: Documented new scale
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== Invented scales ==
== Invented scales ==
{{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.}}


=== 6ed7/3''+''7edo scale ===
=== 6ed7/3''+''7edo scale ===
{{main|6ed7/3#6ed7/3+7edo scale}}
{{main|6ed7/3#6ed7/3+7edo scale}}
=== 7/6s-and-4/3s scale ===
In a public post on the [[Xenharmonic Alliance]] Discord server, in early 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:
* 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:
* 2 6 7 2 6 2 5 6
=== Gutierrez-Lambeth quasi-subharmonic pentatonic ===
In a public post on the [[Xenharmonic Alliance]] Discord server, in late 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 great 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
[[Ed6]]s with especially good approximations of this scale for their size are:
* {{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:
* {{EDOs|37, 58, 67, 72, 94, 108, 109, 118, 125, 166, 176, 212, 224, 270...}}
==== ''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}})


=== Moonglade scale ===
=== Moonglade scale ===
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* (identical to original scale within 1{{c}})
* (identical to original scale within 1{{c}})


=== Gutierrez-Lambeth quasi-subharmonic pentatonic ===
== Sun-after-a-storm pentachord ==
In a public post on the [[Xenharmonic Alliance]] Discord server, in late September 2025, Gutierrez described the 4-tone JI chord 7/6 - 40/27 - 11/5 - 7/2.
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 early October 2025, where she described it as a "very bright minor, like the sun coming out after a storm". Its intervals are:
 
* 20/17
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.
* 25/17
 
* 11/7
Gutierrez thought the 6/1 was a great addition and resolved to use this scale/chord in a future piece.
* 16/9
 
Its intervals are:
* 7/6
* 40/27
* 11/5
* 7/2
* 6/1
 
[[Ed6]]s with especially good approximations of this scale for their size are:
* {{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:
* {{EDOs|37, 58, 67, 72, 94, 108, 109, 118, 125, 166, 176, 212, 224, 270...}}
 
==== ''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
* 2/1


When tempered to [[37edo]], the step pattern for the reduced scale is:
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.
* 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}})
 
=== 7/6s-and-4/3s scale ===
In a public post on the [[Xenharmonic Alliance]] Discord server, in early 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:
* 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:
* 2 6 7 2 6 2 5 6


== See also ==
== See also ==