27edo: Difference between revisions

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=== Other scales ===

* 5-limit pentatonic major: 5 4 7 4 7

* 5-limit / pental / [[The Pinetone System#Pinetone pentatonic|Pinetone pentatonic]] major: 5 4 7 4 7

* 5-limit pentatonic minor: 7 4 5 7 4

* 5-limit / pental / [[The Pinetone System#Pinetone pentatonic|Pinetone pentatonic]] minor: 7 4 5 7 4

* enharmonic trichord octave species: 9 2 5 9 2, 2 9 5 2 9

* Superpyth melodic minor - Superpyth 2|4 #6 #7 or 5|1 b3: 5 1 5 5 5 5 1

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* Superpyth harmonic major - Superpyth 5|1 b6: 5 5 1 5 1 9 1

* Superpyth double harmonic major - Superpyth 5|1 b2 b6: 1 9 1 5 1 9 1

* Zarlino / Ptolemy "just" major: 5 4 2 5 4 5 2

* Zarlino / Ptolemy diatonic, "just" major: 5 4 2 5 4 5 2

* "~~just~~" minor (inverse of "just" major 5 2 4 5 2 5 4

* "Just" minor (inverse of "just" major): 5 2 4 5 2 5 4

* ~~syntonic diatonic tetrachord octave species~~: 5 4 2 5 5 4 2, 2 5 4 5 2 5 4, 5 2 4 5 5 2 4

* 5-limit / pental tetrachordal major: 5 4 2 5 5 4 2

* 5-limit double harmonic major: 2 7 2 5 2 7 2

* 5-limit / pental tetrachorda minor: 5 2 4 5 5 2 4

* enharmonic tetrachord octave species: 9 1 1 5 9 1 1, 1 9 1 5 1 9 1 (also ~~superpyth~~ double harmonic major), 1 1 9 5 1 1 9

* 5-limit / pental melodic minor: 5 2 4 5 4 5 2

* Pinetone diatonic ~~/ ga grama~~: 4 3 4 5 4 3 4

* 5-limit / pental harmonic minor: 5 2 4 5 2 7 2

* Pinetone major-harmonic octatonic: 4 3 4 2 3 4 3 4

* 5-limit / pental harmonic major: 5 4 2 5 2 7 2

* Pinetone minor-harmonic octatonic: 4 3 2 4 3 4 4 3

* [[SNS (2/1, 3/2, 5/4)-7|5-limit / pental double harmonic major]]: 2 7 2 5 2 7 2

* Pinetone diminished octatonic: 4 3 2 3 4 3 4 3

* enharmonic tetrachord octave species: 9 1 1 5 9 1 1, 1 9 1 5 1 9 1 (also Superpyth double harmonic major), 1 1 9 5 1 1 9

* Pinetone harmonic diminished: 4 3 2 7 2 3 4 3

* [[The Pinetone System#The Pinetone diatonic|Pinetone diatonic]]: 4 3 4 5 4 3 4

* Blackdye / syntonic dipentatonic:

* [[The Pinetone System#Pinetone octatonic scales|Pinetone major-harmonic octatonic]]: 4 3 4 2 3 4 3 4

* [[The Pinetone System#Pinetone octatonic scales|Pinetone minor-harmonic octatonic]]: 4 3 2 4 3 4 4 3

~~Tbc~~

* [[The Pinetone System#Pinetone Diminished Octatonic|Pinetone diminished octatonic]] / [[Porcusmine]]: 3 4 2 4 3 4 3 4

* [[The Pinetone System#Pinetone harmonic diminished octatonic|Pinetone harmonic diminished]]: 3 4 2 5 2 4 3 4

* [[The Pinetone System#Pinetone chromatic|Pinetone chromatic]] / pinechrome: 1 3 3 1 3 2 3 1 3 3 1 3

* 5-limit / pental double harmonic nonatonic: 2 5 2 2 5 2 5 2 2, 2 2 5 2 5 2 2 5 2 (MODMOS of Augmented[9])

* 5-limit / pental double harmonic decatonic: 2 5 2 2 3 2 2 5 2 2

* 5-limit / pental double harmonic chromatic: 2 2 3 2 2 3 2 2 2 3 2 2 (Augmented[12] MODMOS)

* [[Blackdye]] / [[syntonic dipentatonic]]: 1 4 2 4 1 4 2 4 1 4

* [[Blackville]] / [[SNS ((2/1, 3/2)-5, 16/15)-10|5-limit dipentatonic]]: 2 3 4 2 3 2 4 2 3 2

Direct sunlight (this is its original/default tuning; subset of [[Sensi]][19])

@@ Line 810: / Line 810: @@
 === Other scales ===
-* 5-limit pentatonic major: 5 4 7 4 7
+* 5-limit / pental / [[The Pinetone System#Pinetone pentatonic|Pinetone pentatonic]] major: 5 4 7 4 7
-* 5-limit pentatonic minor: 7 4 5 7 4
+* 5-limit / pental / [[The Pinetone System#Pinetone pentatonic|Pinetone pentatonic]] minor: 7 4 5 7 4
 * enharmonic trichord octave species: 9 2 5 9 2, 2 9 5 2 9
 * Superpyth melodic minor - Superpyth 2|4 #6 #7 or 5|1 b3: 5 1 5 5 5 5 1
@@ Line 817: / Line 817: @@
 * Superpyth harmonic major - Superpyth 5|1 b6: 5 5 1 5 1 9 1
 * Superpyth double harmonic major - Superpyth 5|1 b2 b6: 1 9 1 5 1 9 1
-* Zarlino / Ptolemy "just" major: 5 4 2 5 4 5 2
+* Zarlino / Ptolemy diatonic, "just" major: 5 4 2 5 4 5 2
-* "just" minor (inverse of "just" major 5 2 4 5 2 5 4
+* "Just" minor (inverse of "just" major): 5 2 4 5 2 5 4
-* syntonic diatonic tetrachord octave species: 5 4 2 5 5 4 2, 2 5 4 5 2 5 4, 5 2 4 5 5 2 4
+* 5-limit / pental tetrachordal major: 5 4 2 5 5 4 2
-* 5-limit double harmonic major: 2 7 2 5 2 7 2
+* 5-limit / pental tetrachorda minor: 5 2 4 5 5 2 4
-* enharmonic tetrachord octave species: 9 1 1 5 9 1 1, 1 9 1 5 1 9 1 (also superpyth double harmonic major), 1 1 9 5 1 1 9
+* 5-limit / pental melodic minor: 5 2 4 5 4 5 2
-* Pinetone diatonic / ga grama: 4 3 4 5 4 3 4
+* 5-limit / pental harmonic minor: 5 2 4 5 2 7 2
-* Pinetone major-harmonic octatonic: 4 3 4 2 3 4 3 4
+* 5-limit / pental harmonic major: 5 4 2 5 2 7 2
-* Pinetone minor-harmonic octatonic: 4 3 2 4 3 4 4 3
+* [[SNS (2/1, 3/2, 5/4)-7|5-limit / pental double harmonic major]]: 2 7 2 5 2 7 2
-* Pinetone diminished octatonic: 4 3 2 3 4 3 4 3
+* enharmonic tetrachord octave species: 9 1 1 5 9 1 1, 1 9 1 5 1 9 1 (also Superpyth double harmonic major), 1 1 9 5 1 1 9
-* Pinetone harmonic diminished: 4 3 2 7 2 3 4 3
+* [[The Pinetone System#The Pinetone diatonic|Pinetone diatonic]]: 4 3 4 5 4 3 4
-* Blackdye / syntonic dipentatonic:
+* [[The Pinetone System#Pinetone octatonic scales|Pinetone major-harmonic octatonic]]: 4 3 4 2 3 4 3 4
+* [[The Pinetone System#Pinetone octatonic scales|Pinetone minor-harmonic octatonic]]: 4 3 2 4 3 4 4 3
-Tbc
+* [[The Pinetone System#Pinetone Diminished Octatonic|Pinetone diminished octatonic]] / [[Porcusmine]]: 3 4 2 4 3 4 3 4
+* [[The Pinetone System#Pinetone harmonic diminished octatonic|Pinetone harmonic diminished]]: 3 4 2 5 2 4 3 4
+* [[The Pinetone System#Pinetone chromatic|Pinetone chromatic]] / pinechrome: 1 3 3 1 3 2 3 1 3 3 1 3
+* 5-limit / pental double harmonic nonatonic: 2 5 2 2 5 2 5 2 2, 2 2 5 2 5 2 2 5 2 (MODMOS of Augmented[9])
+* 5-limit / pental double harmonic decatonic: 2 5 2 2 3 2 2 5 2 2
+* 5-limit / pental double harmonic chromatic: 2 2 3 2 2 3 2 2 2 3 2 2 (Augmented[12] MODMOS)
+* [[Blackdye]] / [[syntonic dipentatonic]]: 1 4 2 4 1 4 2 4 1 4
+* [[Blackville]] / [[SNS ((2/1, 3/2)-5, 16/15)-10|5-limit dipentatonic]]: 2 3 4 2 3 2 4 2 3 2
 Direct sunlight (this is its original/default tuning; subset of [[Sensi]][19])