Armodue harmony: Difference between revisions
Wikispaces>Osmiorisbendi **Imported revision 216350794 - Original comment: ** |
Wikispaces>hstraub **Imported revision 621663517 - Original comment: ** |
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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: | : This revision was by author [[User:hstraub|hstraub]] and made on <tt>2017-11-14 14:45:01 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>621663517</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> | ||
<h4>Original Wikitext content:</h4> | <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"><span style="font-size: 140%;">Armodue: basic elements of harmony</span> | <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"><span style="font-size: 140%;">Armodue: basic elements of harmony</span> | ||
[[toc]] | |||
This is a translation of an article by Luca Attanasio. Original page in italian: [[http://www.armodue.com/armonia.htm]] | This is a translation of an article by Luca Attanasio. Original page in italian: [[http://www.armodue.com/armonia.htm]] | ||
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For terminology see the [[Armodue theory|Armodue overview page]]. | For terminology see the [[Armodue theory|Armodue overview page]]. | ||
---- | ---- | ||
Chapter 1: | Chapter 1: | ||
=Two theses supporting the system= | =Two theses supporting the system= | ||
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---- | ---- | ||
Chapter 2: | Chapter 2: | ||
=The interval table= | =The interval table= | ||
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---- | ---- | ||
Chapter 3: | Chapter 3: | ||
=Creating scales with Armodue: modal systems= | =Creating scales with Armodue: modal systems= | ||
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All the sixteen notes appear at least once inside the scale shown. | All the sixteen notes appear at least once inside the scale shown. | ||
So, it's essential to remember the context of membership of the notes in respect to the three Tenths. | So, it's essential to remember the context of membership of the notes in respect to the three Tenths. | ||
Supposing - for simplicity - to play in a three Tenths register, we'll have eight notes per Tenth at our disposal for the creation of the chord, melody and counterpoint texture. | Supposing - for simplicity - to play in a three Tenths register, we'll have eight notes per Tenth at our disposal for the creation of the chord, melody and counterpoint texture. | ||
Specifically, the notes: | Specifically, the notes: | ||
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---- | ---- | ||
Chapter 4: | Chapter 4: | ||
="Geometric" harmonic constructions with Armodue= | ="Geometric" harmonic constructions with Armodue= | ||
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---- | ---- | ||
Chapter 5: | Chapter 5: | ||
="Elastic" chords= | ="Elastic" chords= | ||
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<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>Armodue armonia</title></head><body><span style="font-size: 140%;">Armodue: basic elements of harmony</span><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>Armodue armonia</title></head><body><span style="font-size: 140%;">Armodue: basic elements of harmony</span><br /> | ||
<br /> | <!-- ws:start:WikiTextTocRule:46:&lt;img id=&quot;wikitext@@toc@@normal&quot; class=&quot;WikiMedia WikiMediaToc&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/normal?w=225&amp;h=100&quot;/&gt; --><div id="toc"><h1 class="nopad">Table of Contents</h1><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><div style="margin-left: 1em;"><a href="#Two theses supporting the system">Two theses supporting the system</a></div> | ||
<!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --><div style="margin-left: 2em;"><a href="#Two theses supporting the system-The supremacy of the fifth and the seventh harmonic in Armodue">The supremacy of the fifth and the seventh harmonic in Armodue</a></div> | |||
<!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --><div style="margin-left: 2em;"><a href="#Two theses supporting the system-The triple mean of the double diagonal / side of the square">The triple mean of the double diagonal / side of the square</a></div> | |||
<!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --><div style="margin-left: 1em;"><a href="#The interval table">The interval table</a></div> | |||
<!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --><div style="margin-left: 2em;"><a href="#The interval table-Qualitative categories of intervals">Qualitative categories of intervals</a></div> | |||
<!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><div style="margin-left: 2em;"><a href="#The interval table-The intervals of 1 eka and 15 eka">The intervals of 1 eka and 15 eka</a></div> | |||
<!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --><div style="margin-left: 2em;"><a href="#The interval table-The intervals of 2 eka and 14 eka">The intervals of 2 eka and 14 eka</a></div> | |||
<!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><div style="margin-left: 2em;"><a href="#The interval table-The intervals of 3 eka and 13 eka">The intervals of 3 eka and 13 eka</a></div> | |||
<!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><div style="margin-left: 2em;"><a href="#The interval table-The intervals of 4 eka and 12 eka">The intervals of 4 eka and 12 eka</a></div> | |||
<!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><div style="margin-left: 2em;"><a href="#The interval table-The intervals of 5 eka and 11 eka">The intervals of 5 eka and 11 eka</a></div> | |||
<!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --><div style="margin-left: 2em;"><a href="#The interval table-The intervals of 6 eka and 10 eka">The intervals of 6 eka and 10 eka</a></div> | |||
<!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><div style="margin-left: 2em;"><a href="#The interval table-The intervals of 7 eka and 9 eka">The intervals of 7 eka and 9 eka</a></div> | |||
<!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><div style="margin-left: 2em;"><a href="#The interval table-The interval of 8 eka">The interval of 8 eka</a></div> | |||
<!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><div style="margin-left: 2em;"><a href="#The interval table-Gradation of harmonic tensions">Gradation of harmonic tensions</a></div> | |||
<!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><div style="margin-left: 2em;"><a href="#The interval table-Arrangement of tones in the chords">Arrangement of tones in the chords</a></div> | |||
<!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><div style="margin-left: 1em;"><a href="#Creating scales with Armodue: modal systems">Creating scales with Armodue: modal systems</a></div> | |||
<!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><div style="margin-left: 2em;"><a href="#Creating scales with Armodue: modal systems-Modal systems based on tetrachords and pentachords">Modal systems based on tetrachords and pentachords</a></div> | |||
<!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><div style="margin-left: 2em;"><a href="#Creating scales with Armodue: modal systems-Modal systems based on hexachords">Modal systems based on hexachords</a></div> | |||
<!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><div style="margin-left: 2em;"><a href="#Creating scales with Armodue: modal systems-Other modal systems and various considerations on the scales in Armodue">Other modal systems and various considerations on the scales in Armodue</a></div> | |||
<!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --><div style="margin-left: 2em;"><a href="#Creating scales with Armodue: modal systems-A peculiarity of Armodue: the symmetrical &quot;neo-diminished&quot; scales">A peculiarity of Armodue: the symmetrical &quot;neo-diminished&quot; scales</a></div> | |||
<!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><div style="margin-left: 2em;"><a href="#Creating scales with Armodue: modal systems-Modes of limited transposition">Modes of limited transposition</a></div> | |||
<!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><div style="margin-left: 1em;"><a href="#x&quot;Geometric&quot; harmonic constructions with Armodue">&quot;Geometric&quot; harmonic constructions with Armodue</a></div> | |||
<!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --><div style="margin-left: 1em;"><a href="#x&quot;Elastic&quot; chords">&quot;Elastic&quot; chords</a></div> | |||
<!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --></div> | |||
<!-- ws:end:WikiTextTocRule:70 --><br /> | |||
This is a translation of an article by Luca Attanasio. Original page in italian: <a class="wiki_link_ext" href="http://www.armodue.com/armonia.htm" rel="nofollow">http://www.armodue.com/armonia.htm</a><br /> | This is a translation of an article by Luca Attanasio. Original page in italian: <a class="wiki_link_ext" href="http://www.armodue.com/armonia.htm" rel="nofollow">http://www.armodue.com/armonia.htm</a><br /> | ||
<br /> | <br /> | ||
For terminology see the <a class="wiki_link" href="/Armodue%20theory">Armodue overview page</a>.<br /> | For terminology see the <a class="wiki_link" href="/Armodue%20theory">Armodue overview page</a>.<br /> | ||
<br /> | <br /> | ||
<hr /> | |||
Chapter 1:<br /> | |||
Chapter 1: <br /> | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Two theses supporting the system"></a><!-- ws:end:WikiTextHeadingRule:0 -->Two theses supporting the system</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Two theses supporting the system"></a><!-- ws:end:WikiTextHeadingRule:0 -->Two theses supporting the system</h1> | ||
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<br /> | <br /> | ||
<hr /> | <hr /> | ||
Chapter 2: <br /> | Chapter 2:<br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="The interval table"></a><!-- ws:end:WikiTextHeadingRule:6 -->The interval table</h1> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="The interval table"></a><!-- ws:end:WikiTextHeadingRule:6 -->The interval table</h1> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<hr /> | <hr /> | ||
Chapter 3: <br /> | Chapter 3:<br /> | ||
<!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Creating scales with Armodue: modal systems"></a><!-- ws:end:WikiTextHeadingRule:30 -->Creating scales with Armodue: modal systems</h1> | <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Creating scales with Armodue: modal systems"></a><!-- ws:end:WikiTextHeadingRule:30 -->Creating scales with Armodue: modal systems</h1> | ||
<br /> | <br /> | ||
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All the sixteen notes appear at least once inside the scale shown.<br /> | All the sixteen notes appear at least once inside the scale shown.<br /> | ||
<br /> | <br /> | ||
So, it's essential to remember the context of membership of the notes in respect to the three Tenths. <br /> | So, it's essential to remember the context of membership of the notes in respect to the three Tenths.<br /> | ||
Supposing - for simplicity - to play in a three Tenths register, we'll have eight notes per Tenth at our disposal for the creation of the chord, melody and counterpoint texture. <br /> | Supposing - for simplicity - to play in a three Tenths register, we'll have eight notes per Tenth at our disposal for the creation of the chord, melody and counterpoint texture.<br /> | ||
<br /> | <br /> | ||
Specifically, the notes:<br /> | Specifically, the notes:<br /> | ||
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<br /> | <br /> | ||
<hr /> | <hr /> | ||
Chapter 4: <br /> | Chapter 4:<br /> | ||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="x&quot;Geometric&quot; harmonic constructions with Armodue"></a><!-- ws:end:WikiTextHeadingRule:42 -->&quot;Geometric&quot; harmonic constructions with Armodue</h1> | <!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="x&quot;Geometric&quot; harmonic constructions with Armodue"></a><!-- ws:end:WikiTextHeadingRule:42 -->&quot;Geometric&quot; harmonic constructions with Armodue</h1> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<hr /> | <hr /> | ||
Chapter 5: <br /> | Chapter 5:<br /> | ||
<!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="x&quot;Elastic&quot; chords"></a><!-- ws:end:WikiTextHeadingRule:44 -->&quot;Elastic&quot; chords</h1> | <!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="x&quot;Elastic&quot; chords"></a><!-- ws:end:WikiTextHeadingRule:44 -->&quot;Elastic&quot; chords</h1> | ||
<br /> | <br /> | ||