Maeve Gutierrez: Difference between revisions

Line 149:

* 11/9 — 19/7 — 3/1 — 19/4 — 7/1 — 9/1 — 11/1

It is a [[19-limit]] chord.

The scale occurs above the tonic of [[126afdo|126]][[afdo]], making it an over-7-and-3 scale in [[primodality]] theory.

[[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.

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* 2 6 7 2 6 2 5 6

It contains within it ~~the~~ 2-tone, [[4/3]]-[[period|repeating]] scale:

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

~~Which Gutierrez recommends using as either a~~ JI chord ~~or as a scale in its own right.~~

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]]

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[[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]]

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* (identical to original scale within 0.6{{c}})

==~~= Gutierrez reduced-3ed7/3 subminor pentatonic scale =~~==

== Other discoveries ==

In a public post on the [[Xenharmonic Alliance]] Discord server, in October 2025, Gutierrez ~~described the following [[pentatonic]] tempered scale:~~

In a public post on the [[Xenharmonic Alliance]] Discord server, in October 2025, Gutierrez recorded that if you take all the intervals in 3ed7/3 up to its sharp tritave and octave-reduce them, you get a scale almost exactly the same as the [[superpyth]][5] [[MOS]] in [[27edo]], with step pattern 6 5 6 5 5.

* 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~~]~~].)~~

[[~~Category:5-tone scales~~]]

[[~~Category:Tempered scales~~]]

== See also ==

@@ Line 149: / Line 149: @@
 * 11/9 — 19/7 — 3/1 — 19/4 — 7/1 — 9/1 — 11/1
 It is a [[19-limit]] chord.
+The scale occurs above the tonic of [[126afdo|126]][[afdo]], making it an over-7-and-3 scale in [[primodality]] theory.
 [[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.
@@ Line 163: / Line 165: @@
 * 2 6 7 2 6 2 5 6
-It contains within it the 2-tone, [[4/3]]-[[period|repeating]] scale:
+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
-Which Gutierrez recommends using as either a JI chord or as a scale in its own right.
+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]]
@@ Line 191: / Line 200: @@
 [[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]]
@@ Line 224: / Line 236: @@
 * (identical to original scale within 0.6{{c}})
-=== Gutierrez reduced-3ed7/3 subminor pentatonic scale ===
+== Other discoveries ==
-In a public post on the [[Xenharmonic Alliance]] Discord server, in October 2025, Gutierrez described the following [[pentatonic]] tempered scale:
+In a public post on the [[Xenharmonic Alliance]] Discord server, in October 2025, Gutierrez recorded that if you take all the intervals in 3ed7/3 up to its sharp tritave and octave-reduce them, you get a scale almost exactly the same as the [[superpyth]][5] [[MOS]] in [[27edo]], with step pattern 6 5 6 5 5.
-* 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]].)
-[[Category:5-tone scales]]
-[[Category:Tempered scales]]
 == See also ==