Pitch Set Harmonization - Revision history

FloraC: Fix header levels and style

2024-01-09T11:11:12Z

Fix header levels and style

← Older revision		Revision as of 11:11, 9 January 2024
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	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:		Below is an example of Mavila Harmonized entirely with Open chords:

BudjarnLambeth: Added links to dead end pg

2024-01-09T06:27:16Z

Added links to dead end pg

← Older revision		Revision as of 06:27, 9 January 2024
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 ~~intervals~~ 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 ~~triads~~, 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 [[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.

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

Fredg999 category edits: Categories

2023-03-05T05:32:16Z

Keenan Pepper category edits: Moving from Category:Harmonic to Category:Overtone using Cat-a-lot

2020-12-04T23:50:50Z

Moving from Category:Harmonic to Category:Overtone using Cat-a-lot

← Older revision		Revision as of 23:50, 4 December 2020
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	Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.		Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.
	[[Category:~~harmonic~~]]		[[Category:Overtone]]
	[[Category:harmonization]]		[[Category:harmonization]]
	[[Category:harmony]]		[[Category:harmony]]
	[[Category:mavila]]		[[Category:mavila]]
	[[Category:theory]]		[[Category:theory]]

PreImportHandFixes>Battaglia01: Mike - added note that is broken

2018-08-19T19:47:56Z

Mike - added note that is broken

← Older revision		Revision as of 19:47, 19 August 2018
Line 5:		Line 5:

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

			: '''''Mike's note - original SoundCloud link is broken'''''

	And another Example of harmonization using both types of chords:		And another Example of harmonization using both types of chords:

			: '''''Mike's note - original SoundCloud link is broken'''''

	Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.		Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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	~~<h2>IMPORTED REVISION FROM WIKISPACES</h2>~~		Pitch Set Harmonization is a method of building harmony based on a set of pitches which act as the fundamental pool of intervals 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 triads, but it allows for a more modern, creative approach to harmonizing MOS scales without being totally in the dark about it.
	~~This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:k9assassin\|k9assassin]] and made on <tt>2015-04-14 23:13:19 UTC</tt>.<br>~~
	~~: The original revision id was <tt>547368732</tt>.<br>~~
	~~: The revision comment was: <tt></tt><br>~~
	~~The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>~~
	~~<h4>Original Wikitext content:</h4>~~
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Pitch Set Harmonization is a method of building harmony based on a set of pitches which act as the fundamental pool of intervals 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 triads, 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 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.

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

	~~[[media type="custom" key="27424644"]]~~

	And another Example of harmonization using both types of chords:		And another Example of harmonization using both types of chords:
	~~[[media type="custom" key="27424646"]]~~

	Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.~~</pre></div>~~		Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.
	~~<h4>Original HTML content~~:~~</h4>~~		[[Category:harmonic]]
	~~<div style="width~~:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Pitch Set Harmonization</title></head><body>Pitch Set Harmonization is a method of building harmony based on a set of pitches which act as the fundamental pool of intervals 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 triads, but it allows for a more modern, creative approach to harmonizing MOS scales without being totally in the dark about it.<br />		[[Category:harmonization]]
	~~<br />~~		[[Category:harmony]]
	~~<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="Mavila"></a><!-- ws:end:WikiTextHeadingRule:2 -->Mavila</h1>~~		[[Category: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.<br />		[[Category:theory]]
	~~<br />~~
	~~Below is an example of Mavila Harmonized entirely with Open chords~~:~~<br />~~
	~~<br />~~
	~~<!-- ws:start~~:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/27424644?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;27424644&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><iframe width="30%" height="450" scrolling="no" frameborder="no" src="https://w.soundcloud.com/player/?url=https%3A//api.soundcloud.com/tracks/128670850&amp;auto_play=false&amp;hide_related=false&amp;show_comments=true&amp;show_user=true&amp;show_reposts=false&amp;visual=true"></iframe><!-- ws:end:WikiTextMediaRule:0 --><br />
	~~<br />~~
	~~And another Example of harmonization using both types of chords~~:~~<br />~~
	<!-- ws:start:WikiTextMediaRule:1:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/27424646?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;27424646&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><iframe width="30%" height="450" scrolling="no" frameborder="no" src="https://w.soundcloud.com/player/?url=https%3A//api.soundcloud.com/tracks/128951437&amp;auto_play=false&amp;hide_related=false&amp;show_comments=true&amp;show_user=true&amp;show_reposts=false&amp;visual=true"></iframe><!-- ws:end:WikiTextMediaRule:1 --><br />
	~~<br />~~
	Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.</body></html></pre></div>

Wikispaces>k9assassin: Imported revision 547368732 - Original comment:

2015-04-14T23:13:19Z

**Imported revision 547368732 - Original comment: **

Wikispaces>k9assassin: Imported revision 547368662 - Original comment:

2015-04-14T23:12:23Z

**Imported revision 547368662 - Original comment: **

New page

<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2015-04-14 23:12:23 UTC</tt>.<br>
: The original revision id was <tt>547368662</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Pitch Set Harmonization is a method of building harmony based on a set of pitches which act as the fundamental pool of intervals 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 triads, but it allows for a more modern, creative approach to harmonizing MOS scales without being totally in the dark about it.

=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.

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

[[media type="custom" key="27424626"]]

And another Example of harmonization using both types of chords:
[[media type="custom" key="27424638"]]

Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh. </pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Pitch Set Harmonization</title></head><body>Pitch Set Harmonization is a method of building harmony based on a set of pitches which act as the fundamental pool of intervals 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 triads, but it allows for a more modern, creative approach to harmonizing MOS scales without being totally in the dark about it.<br />
<br />
<h1 id="toc0"><a name="Mavila"></a>Mavila</h1>
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. <br />
<br />
Below is an example of Mavila Harmonized entirely with Open chords: <br />
<br />
<iframe width="100%" height="450" scrolling="no" frameborder="no" src="https://w.soundcloud.com/player/?url=https%3A//api.soundcloud.com/tracks/128670850&amp;auto_play=false&amp;hide_related=false&amp;show_comments=true&amp;show_user=true&amp;show_reposts=false&amp;visual=true"></iframe><br />
<br />
And another Example of harmonization using both types of chords: <br />
<iframe width="100%" height="450" scrolling="no" frameborder="no" src="https://w.soundcloud.com/player/?url=https%3A//api.soundcloud.com/tracks/128951437&amp;auto_play=false&amp;hide_related=false&amp;show_comments=true&amp;show_user=true&amp;show_reposts=false&amp;visual=true"></iframe><br />
<br />
Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.</body></html></pre></div>

← Older revision		Revision as of 05:32, 5 March 2023
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	Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.		Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.
	~~[[Category:Overtone]]~~
	~~[[Category:harmonization]]~~		[[Category:Harmony]]
	~~[[Category:harmony]]~~		[[Category:Mavila]]
	[[Category:~~mavila~~]]
	[[Category:~~theory~~]]

← Older revision		Revision as of 23:13, 14 April 2015
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
	: This revision was by author [[User:k9assassin\|k9assassin]] and made on <tt>2015-04-14 23:12:23 UTC</tt>.<br>		: This revision was by author [[User:k9assassin\|k9assassin]] and made on <tt>2015-04-14 23:13:19 UTC</tt>.<br>
	: The original revision id was <tt>~~547368662~~</tt>.<br>		: The original revision id was <tt>547368732</tt>.<br>
	: The revision comment was: <tt></tt><br>		: The revision comment was: <tt></tt><br>
	The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Line 9:		Line 9:

	=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 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.

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

	[[media type="custom" key="~~27424626~~"]]		[[media type="custom" key="27424644"]]

	And another Example of harmonization using both types of chords:		And another Example of harmonization using both types of chords:
	[[media type="custom" key="~~27424638~~"]]		[[media type="custom" key="27424646"]]

	Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh. </pre></div>		Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML content:</h4>
	<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Pitch Set Harmonization</title></head><body>Pitch Set Harmonization is a method of building harmony based on a set of pitches which act as the fundamental pool of intervals 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 triads, but it allows for a more modern, creative approach to harmonizing MOS scales without being totally in the dark about it.<br />		<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Pitch Set Harmonization</title></head><body>Pitch Set Harmonization is a method of building harmony based on a set of pitches which act as the fundamental pool of intervals 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 triads, but it allows for a more modern, creative approach to harmonizing MOS scales without being totally in the dark about it.<br />
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	<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="Mavila"></a><!-- ws:end:WikiTextHeadingRule:2 -->Mavila</h1>		<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc0"><a name="Mavila"></a><!-- ws:end:WikiTextHeadingRule:2 -->Mavila</h1>
	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. <br />		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.<br />
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	Below is an example of Mavila Harmonized entirely with Open chords: <br />		Below is an example of Mavila Harmonized entirely with Open chords:<br />
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	And another Example of harmonization using both types of chords: <br />		And another Example of harmonization using both types of chords:<br />
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	Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.</body></html></pre></div>		Options for extended harmony exist as well and can add more interesting color to the triads, this too is more interesting with the open position chords. For example, a chord of 000-975-825 can be extended by adding another stacked interval of either a large or small seventh.</body></html></pre></div>