Diaharmonic - Revision history

BudjarnLambeth at 23:39, 18 September 2024

2024-09-18T23:39:12Z

← Older revision		Revision as of 23:39, 18 September 2024
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	The '''Diaharmonic''' collection is the name proposed by [[Mason Green]] for a 9-note scale with step pattern L L S S L L L S S. It is a [[diatonic scale]] where each semitone is divided equally in half.		The '''Diaharmonic''' collection is the name proposed by [[Mason Green]] for a 9-note scale with step pattern L L S S L L L S S. It is a [[diatonic scale]] where each semitone is divided equally in half.

	It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic [[tetrachord]]s "fuse together" nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a '''diaharmonic pentachord''' (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.		It can also be thought of as a cross between two of the three ancient Greek [[genera]] (diatonic and enharmonic) since the diatonic and enharmonic [[tetrachord]]s "fuse together" nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a '''diaharmonic pentachord''' (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.

	[[19edo]] works extremely well as a tuning for the diaharmonic scale (in which it has step sizes 3 3 1 1 3 3 3 1 1). However, there are other options which include [[24edo]] and [[43edo]].		[[19edo]] works extremely well as a tuning for the diaharmonic scale (in which it has step sizes 3 3 1 1 3 3 3 1 1). However, there are other options which include [[24edo]] and [[43edo]].

BudjarnLambeth: Added libks

2024-09-18T23:30:00Z

Added libks

← Older revision		Revision as of 23:30, 18 September 2024
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	The '''Diaharmonic''' collection is the name proposed by Mason Green for a 9-note scale with step pattern L L S S L L L S S. It is a [[diatonic scale]] where each semitone is divided equally in half.		The '''Diaharmonic''' collection is the name proposed by [[Mason Green]] for a 9-note scale with step pattern L L S S L L L S S. It is a [[diatonic scale]] where each semitone is divided equally in half.

	It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic ~~tetrachords~~ "fuse together" nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a '''diaharmonic pentachord''' (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.		It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic [[tetrachord]]s "fuse together" nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a '''diaharmonic pentachord''' (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.

	[[~~19edo\|~~19edo]] works extremely well as a tuning for the diaharmonic scale (in which it has step sizes 3 3 1 1 3 3 3 1 1). However, there are other options which include 24edo and 43edo.		[[19edo]] works extremely well as a tuning for the diaharmonic scale (in which it has step sizes 3 3 1 1 3 3 3 1 1). However, there are other options which include [[24edo]] and [[43edo]].

	The 19edo diaharmonic scale is interesting because it can combine the melodic advantages of neomedieval systems (like [[~~17edo\|~~17edo]] and Pythagorean) with the harmonic advantages of a meantone system. We can do this by shrinking the diatonic semitone in a melodic line while expanding the preceding whole tone. Essentially in major keys, we have a diatonic scale with two extra notes, one which can function either as an "ascending/augmented third" or a "descending/diminished" fourth, and the other which can function either as an "ascending/augmented seventh" or "descending/diminished" octave.		The 19edo diaharmonic scale is interesting because it can combine the melodic advantages of neomedieval systems (like [[17edo]] and [[Pythagorean]]) with the harmonic advantages of a [[meantone]] system. We can do this by shrinking the diatonic semitone in a melodic line while expanding the preceding whole tone. Essentially in major keys, we have a diatonic scale with two extra notes, one which can function either as an "ascending/augmented third" or a "descending/diminished" fourth, and the other which can function either as an "ascending/augmented seventh" or "descending/diminished" octave.
	[[Category:19edo]]		[[Category:19edo]]
	[[Category:9-tone scales]]		[[Category:9-tone scales]]

BudjarnLambeth: Added link to diatonic scale

2024-01-03T08:04:33Z

Added link to diatonic scale

← Older revision		Revision as of 08:04, 3 January 2024
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	The '''Diaharmonic''' collection is the name proposed by Mason Green for a 9-note scale with step pattern L L S S L L L S S. It is a diatonic scale where each semitone is divided equally in half.		The '''Diaharmonic''' collection is the name proposed by Mason Green for a 9-note scale with step pattern L L S S L L L S S. It is a [[diatonic scale]] where each semitone is divided equally in half.

	It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic tetrachords "fuse together" nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a '''diaharmonic pentachord''' (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.		It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic tetrachords "fuse together" nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a '''diaharmonic pentachord''' (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.

BudjarnLambeth: Added category "9-tone scales"

2023-04-19T08:49:24Z

Added category "9-tone scales"

← Older revision		Revision as of 08:49, 19 April 2023
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	The 19edo diaharmonic scale is interesting because it can combine the melodic advantages of neomedieval systems (like [[17edo\|17edo]] and Pythagorean) with the harmonic advantages of a meantone system. We can do this by shrinking the diatonic semitone in a melodic line while expanding the preceding whole tone. Essentially in major keys, we have a diatonic scale with two extra notes, one which can function either as an "ascending/augmented third" or a "descending/diminished" fourth, and the other which can function either as an "ascending/augmented seventh" or "descending/diminished" octave.		The 19edo diaharmonic scale is interesting because it can combine the melodic advantages of neomedieval systems (like [[17edo\|17edo]] and Pythagorean) with the harmonic advantages of a meantone system. We can do this by shrinking the diatonic semitone in a melodic line while expanding the preceding whole tone. Essentially in major keys, we have a diatonic scale with two extra notes, one which can function either as an "ascending/augmented third" or a "descending/diminished" fourth, and the other which can function either as an "ascending/augmented seventh" or "descending/diminished" octave.
	[[Category:19edo]]		[[Category:19edo]]
			[[Category:9-tone scales]]

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>~~		The '''Diaharmonic''' collection is the name proposed by Mason Green for a 9-note scale with step pattern L L S S L L L S S. It is a diatonic scale where each semitone is divided equally in half.
	~~This is an imported revision from Wikispaces.~~ The ~~revision metadata is included below for reference:<br>~~
	~~: This revision was by author [[User:MasonGreen1\|MasonGreen1]] and made on <tt>2017-01-26 21:55:42 UTC</tt>.<br>~~
	~~: The original revision id was <tt>604895391</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">The Diaharmonic collection is the name proposed by Mason Green for a 9-note scale with step pattern L L S S L L L S S. It is a diatonic scale where each semitone is divided equally in half.

	It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic tetrachords "fuse together" nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a diaharmonic pentachord (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.		It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic tetrachords "fuse together" nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a '''diaharmonic pentachord''' (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.

	[[19edo]] works extremely well as a tuning for the diaharmonic scale (in which it has step sizes 3 3 1 1 3 3 3 1 1). However, there are other options which include 24edo and 43edo.		[[19edo\|19edo]] works extremely well as a tuning for the diaharmonic scale (in which it has step sizes 3 3 1 1 3 3 3 1 1). However, there are other options which include 24edo and 43edo.

	The 19edo diaharmonic scale is interesting because it can combine the melodic advantages of neomedieval systems (like [[17edo]] and Pythagorean) with the harmonic advantages of a meantone system. We can do this by shrinking the diatonic semitone in a melodic line while expanding the preceding whole tone. Essentially in major keys, we have a diatonic scale with two extra notes, one which can function either as an "ascending/augmented third" or a "descending/diminished" fourth, and the other which can function either as an "ascending/augmented seventh" or "descending/diminished" octave.~~</pre></div>~~		The 19edo diaharmonic scale is interesting because it can combine the melodic advantages of neomedieval systems (like [[17edo\|17edo]] and Pythagorean) with the harmonic advantages of a meantone system. We can do this by shrinking the diatonic semitone in a melodic line while expanding the preceding whole tone. Essentially in major keys, we have a diatonic scale with two extra notes, one which can function either as an "ascending/augmented third" or a "descending/diminished" fourth, and the other which can function either as an "ascending/augmented seventh" or "descending/diminished" octave.
	~~<h4>Original HTML content:</h4>~~		[[Category:19edo]]
	~~<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>Diaharmonic</title></head><body>The <strong>Diaharmonic</strong> collection is the name proposed by Mason Green for a 9-note scale with step pattern L L S S L L L S S. It is a diatonic scale where each semitone is divided equally in half.<br />
	~~<br />~~
	It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic tetrachords &quot;fuse together&quot; nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a <strong>diaharmonic pentachord</strong> (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.<br />
	~~<br />~~
	~~<a class="wiki_link" href="/~~19edo">19edo</a> works extremely well as a tuning for the diaharmonic scale (in which it has step sizes 3 3 1 1 3 3 3 1 1). However, there are other options which include 24edo and 43edo.<br />
	~~<br />~~
	The 19edo diaharmonic scale is interesting because it can combine the melodic advantages of neomedieval systems (like <a class="wiki_link" href="/17edo">17edo</a> and Pythagorean) with the harmonic advantages of a meantone system. We can do this by shrinking the diatonic semitone in a melodic line while expanding the preceding whole tone. Essentially in major keys, we have a diatonic scale with two extra notes, one which can function either as an &quot;ascending/augmented third&quot; or a &quot;descending/diminished&quot; fourth, and the other which can function either as an &quot;ascending/augmented seventh&quot; or &quot;descending/diminished&quot; octave.</body></html></pre></div>

Wikispaces>MasonGreen1: Imported revision 604895391 - Original comment:

2017-01-26T21:55:42Z

**Imported revision 604895391 - 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:MasonGreen1|MasonGreen1]] and made on <tt>2017-01-26 21:55:42 UTC</tt>.<br>
: The original revision id was <tt>604895391</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">The **Diaharmonic** collection is the name proposed by Mason Green for a 9-note scale with step pattern L L S S L L L S S. It is a diatonic scale where each semitone is divided equally in half.

It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic tetrachords "fuse together" nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a **diaharmonic pentachord** (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.

[[19edo]] works extremely well as a tuning for the diaharmonic scale (in which it has step sizes 3 3 1 1 3 3 3 1 1). However, there are other options which include 24edo and 43edo.

The 19edo diaharmonic scale is interesting because it can combine the melodic advantages of neomedieval systems (like [[17edo]] and Pythagorean) with the harmonic advantages of a meantone system. We can do this by shrinking the diatonic semitone in a melodic line while expanding the preceding whole tone. Essentially in major keys, we have a diatonic scale with two extra notes, one which can function either as an "ascending/augmented third" or a "descending/diminished" fourth, and the other which can function either as an "ascending/augmented seventh" or "descending/diminished" octave.</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>Diaharmonic</title></head><body>The <strong>Diaharmonic</strong> collection is the name proposed by Mason Green for a 9-note scale with step pattern L L S S L L L S S. It is a diatonic scale where each semitone is divided equally in half.<br />
<br />
It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic tetrachords &quot;fuse together&quot; nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a <strong>diaharmonic pentachord</strong> (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.<br />
<br />
<a class="wiki_link" href="/19edo">19edo</a> works extremely well as a tuning for the diaharmonic scale (in which it has step sizes 3 3 1 1 3 3 3 1 1). However, there are other options which include 24edo and 43edo.<br />
<br />
The 19edo diaharmonic scale is interesting because it can combine the melodic advantages of neomedieval systems (like <a class="wiki_link" href="/17edo">17edo</a> and Pythagorean) with the harmonic advantages of a meantone system. We can do this by shrinking the diatonic semitone in a melodic line while expanding the preceding whole tone. Essentially in major keys, we have a diatonic scale with two extra notes, one which can function either as an &quot;ascending/augmented third&quot; or a &quot;descending/diminished&quot; fourth, and the other which can function either as an &quot;ascending/augmented seventh&quot; or &quot;descending/diminished&quot; octave.</body></html></pre></div>