Pitch Set Harmonization: Difference between revisions

Line 1:

Pitch Set Harmonization is a method of building harmony based on a set of pitches which act as the fundamental pool of [[interval]]s that can be combined to make a [[consonant]] [[chord]]. It is a form of secondual harmony in that the chords are based on seconds rather than thirds or fourths. The most basic example is taking the first three pitches of a [[~~MOS~~]] [[mode]] and using those as your pitch set. The advantage of this is that not only does it solve the problem of ~~MOS~~ not having major and minor [[triad]]s, but it allows for a more modern, creative approach to harmonizing ~~MOS~~ scales without being totally in the dark about it.

'''Pitch Set Harmonization''' is a method of building harmony based on a set of pitches which act as the fundamental pool of [[interval]]s that can be combined to make a [[consonant]] [[chord]]. It is a form of secondual harmony in that the chords are based on seconds rather than thirds or fourths. The most basic example is taking the first three pitches of a [[mos]] [[mode]] and using those as your pitch set. The advantage of this is that not only does it solve the problem of mos not having major and minor [[triad]]s, but it allows for a more modern, creative approach to harmonizing mos scales without being totally in the dark about it.

=Mavila=

== Mavila ==

[[Mavila]] in [[~~16 EDO~~]] can be harmonized by taking the first three pitches of the [[scale]] and placing the ninth on top producing chords of 000-225-375 called Hard, 000-150-375 called Soft, and 000-125-300 called Symmetrical. In addition, the first inversion is needed to create a full range of harmonization possibilites. Something, however, happens with Mavila and other ~~MOS~~ scales that doesn't happen with inversions of tertian triads: The first inversion can be considered a chord in it's own right apart from the Root position. This means that if you have a chord of CED then EDC with E as the root can be considered a resolved sonority. First inversion triads in Mavila have a cool metallic sound which is more xen than the regular Root position chords. Therefore, there are two types of triads: Open - 1st inversion and Closed - root position.

[[Mavila]] in [[16edo]] can be harmonized by taking the first three pitches of the [[scale]] and placing the ninth on top producing chords of 000-225-375 called Hard, 000-150-375 called Soft, and 000-125-300 called Symmetrical. In addition, the first inversion is needed to create a full range of harmonization possibilites. Something, however, happens with Mavila and other mos scales that doesn't happen with inversions of tertian triads: The first inversion can be considered a chord in it's own right apart from the Root position. This means that if you have a chord of CED then EDC with E as the root can be considered a resolved sonority. First inversion triads in Mavila have a cool metallic sound which is more xen than the regular Root position chords. Therefore, there are two types of triads: Open - 1st inversion and Closed - root position.

Below is an example of Mavila Harmonized entirely with Open chords:

@@ Line 1: / Line 1: @@
-Pitch Set Harmonization is a method of building harmony based on a set of pitches which act as the fundamental pool of [[interval]]s that can be combined to make a [[consonant]] [[chord]]. It is a form of secondual harmony in that the chords are based on seconds rather than thirds or fourths. The most basic example is taking the first three pitches of a [[MOS]] [[mode]] and using those as your pitch set. The advantage of this is that not only does it solve the problem of MOS not having major and minor [[triad]]s, but it allows for a more modern, creative approach to harmonizing MOS scales without being totally in the dark about it.
+'''Pitch Set Harmonization''' is a method of building harmony based on a set of pitches which act as the fundamental pool of [[interval]]s that can be combined to make a [[consonant]] [[chord]]. It is a form of secondual harmony in that the chords are based on seconds rather than thirds or fourths. The most basic example is taking the first three pitches of a [[mos]] [[mode]] and using those as your pitch set. The advantage of this is that not only does it solve the problem of mos not having major and minor [[triad]]s, but it allows for a more modern, creative approach to harmonizing mos scales without being totally in the dark about it.
-=Mavila=
+== Mavila ==
-[[Mavila]] in [[16 EDO]] can be harmonized by taking the first three pitches of the [[scale]] and placing the ninth on top producing chords of 000-225-375 called Hard, 000-150-375 called Soft, and 000-125-300 called Symmetrical. In addition, the first inversion is needed to create a full range of harmonization possibilites. Something, however, happens with Mavila and other MOS scales that doesn't happen with inversions of tertian triads: The first inversion can be considered a chord in it's own right apart from the Root position. This means that if you have a chord of CED then EDC with E as the root can be considered a resolved sonority. First inversion triads in Mavila have a cool metallic sound which is more xen than the regular Root position chords. Therefore, there are two types of triads: Open - 1st inversion and Closed - root position.
+[[Mavila]] in [[16edo]] can be harmonized by taking the first three pitches of the [[scale]] and placing the ninth on top producing chords of 000-225-375 called Hard, 000-150-375 called Soft, and 000-125-300 called Symmetrical. In addition, the first inversion is needed to create a full range of harmonization possibilites. Something, however, happens with Mavila and other mos scales that doesn't happen with inversions of tertian triads: The first inversion can be considered a chord in it's own right apart from the Root position. This means that if you have a chord of CED then EDC with E as the root can be considered a resolved sonority. First inversion triads in Mavila have a cool metallic sound which is more xen than the regular Root position chords. Therefore, there are two types of triads: Open - 1st inversion and Closed - root position.
 Below is an example of Mavila Harmonized entirely with Open chords: