Maeve Gutierrez: Difference between revisions

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If you start with the [[JI]] chord:

* 1/1 - 5/4 - 3/2 - 7/4

* 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¢

* 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:

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=== 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

* 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:

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

* 7/6 - 4/3

* 7/6 — 4/3

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

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=== 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

* 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.

@@ Line 83: / Line 83: @@
 If you start with the [[JI]] chord:
-* 1/1 - 5/4 - 3/2 - 7/4
+* 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¢
+* 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:
@@ Line 120: / Line 120: @@
 === 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
+* 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:
@@ Line 129: / Line 126: @@
 It contains within it the 2-tone, [[4/3]]-[[period|repeating]] scale:
-* 7/6 - 4/3
+* 7/6 — 4/3
 Which Gutierrez recommends using as either a JI chord or as a scale in its own right.
@@ Line 135: / Line 132: @@
 === 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
+* 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.