User:Romeolz/Isomorphic layouts: Difference between revisions

Line 12:

* Bosanquet modifications

* HT extensions

* ~~tuning~~ continua

* equivalence continua

* images and audio examples for everything

Line 79:

==== Lumatone: Classic mode, melodic mode, harmonic mode ====

Though intended for 12edo, these terms can be generalized to other tunings.

[[File:Lumatone classic mode with playing direction and scale.png|none|thumb|600x600px|~~add caption~~]]

[[File:Lumatone classic mode with playing direction and scale.png|none|thumb|600x600px|Bosanquet-Wilson: the albitonic major scale in blue overlaid with the playing direction/octave vector in purple]]

Classic mode refers to a 12edo Bosanquet-Wilson layout originally, but I will expand the meaning to include other layouts that have specific properties. Their equave vectors and playing directions are the same, that being horizontal. They're non-jagged, and have some easily accessible albitonic scale as their basis. It's a meandering line that closely follows the playing direction. Classic mode is analogous to aural bias.

[[File:Lumatone melodic mode with playing direction and scale.png|none|thumb|~~add caption~~]]

[[File:Lumatone melodic mode with playing direction and scale.png|none|thumb|Wicki-Hayden: the albitonic major scale in blue overlaid with the playing direction/octave vector in purple]]

Melodic mode refers to the Wicki-Hayden layout in 12edo. I will add layouts to the term that adhere to the following. The equave vector is close to vertical, and so is the playing direction. They also have a very clear albitonic scale as their basis, but rather it's laid out in a block-like shape much more densely. It zigzags around the playing direction. Melodic mode can be aurally biased or harmonically biased depending on the harmonic content of the albitonic scale.

[[File:Lumatone harmonic mode with 3 major scale constructions.png|none|thumb|750x750px|~~Three~~ different ways to construct a major scale: 5-limit, pythagorean ~~with~~ augmented ~~octave~~, pythagorean ~~with~~ diminished ~~octave~~]]

[[File:Lumatone harmonic mode with 3 major scale constructions.png|none|thumb|750x750px|Harmonic Table: three different ways to construct a major scale: 5-limit in augmented temperament (red), pythagorean in augmented temperament (green), pythagorean in diminished temperament (pink)]]

Harmonic mode is the way Lumatone calls the 12edo Harmonic Table layout. It, and others like it, put harmonically related notes very close to each other. Pitch distance is not well represented in these layouts. There may not always be a clear playing direction, or they may be very jagged. The concept of an albitonic scale is often completely disregarded. Harmonic mode maps very nicely to the concept of harmonic bias.

@@ Line 12: / Line 12: @@
 * Bosanquet modifications
 * HT extensions
-* tuning continua
+* equivalence continua
 * images and audio examples for everything
@@ Line 79: / Line 79: @@
 ==== Lumatone: Classic mode, melodic mode, harmonic mode ====
 Though intended for 12edo, these terms can be generalized to other tunings.
-[[File:Lumatone classic mode with playing direction and scale.png|none|thumb|600x600px|add caption]]
+[[File:Lumatone classic mode with playing direction and scale.png|none|thumb|600x600px|Bosanquet-Wilson: the albitonic major scale in blue overlaid with the playing direction/octave vector in purple]]
 Classic mode refers to a 12edo Bosanquet-Wilson layout originally, but I will expand the meaning to include other layouts that have specific properties. Their equave vectors and playing directions are the same, that being horizontal. They're non-jagged, and have some easily accessible albitonic scale as their basis. It's a meandering line that closely follows the playing direction. Classic mode is analogous to aural bias.
-[[File:Lumatone melodic mode with playing direction and scale.png|none|thumb|add caption]]
+[[File:Lumatone melodic mode with playing direction and scale.png|none|thumb|Wicki-Hayden: the albitonic major scale in blue overlaid with the playing direction/octave vector in purple]]
 Melodic mode refers to the Wicki-Hayden layout in 12edo. I will add layouts to the term that adhere to the following. The equave vector is close to vertical, and so is the playing direction. They also have a very clear albitonic scale as their basis, but rather it's laid out in a block-like shape much more densely. It zigzags around the playing direction. Melodic mode can be aurally biased or harmonically biased depending on the harmonic content of the albitonic scale.
-[[File:Lumatone harmonic mode with 3 major scale constructions.png|none|thumb|750x750px|Three different ways to construct a major scale: 5-limit, pythagorean with augmented octave, pythagorean with diminished octave]]
+[[File:Lumatone harmonic mode with 3 major scale constructions.png|none|thumb|750x750px|Harmonic Table: three different ways to construct a major scale: 5-limit in augmented temperament (red), pythagorean in augmented temperament (green), pythagorean in diminished temperament (pink)]]
 Harmonic mode is the way Lumatone calls the 12edo Harmonic Table layout. It, and others like it, put harmonically related notes very close to each other. Pitch distance is not well represented in these layouts. There may not always be a clear playing direction, or they may be very jagged. The concept of an albitonic scale is often completely disregarded. Harmonic mode maps very nicely to the concept of harmonic bias.