Armodue harmony: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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To understand the nature of such accordances we should refer to specular reflections of light in a crystal, according to a tidy symmetry.
To understand the nature of such accordances we should refer to specular reflections of light in a crystal, according to a tidy symmetry.


XXX
{ ! -- rough translation begins here --}




An image that comes in mind about is the eight pointed 'star' sometimes appear in a photo area when the lens is stroke by a rather intense light source.
The Scriabin idea, so, is to render {paint?} this optical phenomena through the sounds.
From here the formation of a center-note (luminous central source) from which departs upper interval-rays and relative higher notes and, for simmetry or {mirrority?} law, lower reflected rays-intervals with equal amplitude but with upside-down direction and with relative notes lower than central note.
The central note so is called much properly nucleopolar note, out-and-out mirror where lower intervals and low notes reflects themselves in the higher intevals and the high notes.
The resulting chord - builded in perfect central simmetry or nucleopolarity - be the main sound plant at whom referring in the melody texture and int hte chord's architecture.
The modulation principle, in this sphere, must be meant as the least and
gradual variation of wideness of one or several intervals that are pivoted on the chord's nucleopolar note, or - more drastically - must be read as a radical and brusque transformation of the same intervals.
In Armodue, the nucleopolar harmony cans find a wider and more perfect enforcement, compared to twelve notes system. IN fact, a sixteen notes scale seems already to contain implicitly the central simmetry principle (sixteen is the perfect square of a perfect square -4- and corresponds to the mandala archetype as conceived in the almost entirety of world's cultures and traditions: an eight or sixteens rays wheel).
Let's assume, if example, the note 5 as nucleopolar. The note 5 will work as a mirror in which lower and higher intervals and notes will reflects.
If we elect the three intevals of six, eight and thirteen eka it will generate the sound structure (readed notes from left to right proceed neatly from low to high):
7 - 9 - 1# - 5 - 8 - 9 - 3
As we can verify, from the note 5 it spreads the two mirrored six eka intervals (defined by notes 1# - 5 and 5 - 8), the two intervals of eight eka (defined by notes 9 - 5 and 5 - 9) and the two intevals of thirteen eka (defined by notes 7 - 5 and 5 - 3).
We have so obtained three notes lower than nucleopolar 5 (the 7, 9 and 1#) and three higher than the same note 5 (the 8, 9, 3 notes)
The sound structure so obtained can be used as is in the construction of melody and chords, or it can be liable to undergo microvariations and be modulated.
If example, we can just bring a slight variation - so an asimmetry - that momentarily destabilize but in a significant way the strict "crystallinity" of sound altering the note 1# for bend one eka (substituting with note 2):
7 - 9 - 2 - 5 - 8 - 9 - 3
Later, we can restore the perfect equilibrium and simmetry of sonor structure altering in equal sense and contrary the note 8 that balances the note 2 (the 8 so goes down - in diametrally opposite way - of one eka and so substituted with note 7#):
7 - 9 - 2 - 5 - 7# - 9 - 3
The shown microvariation principle can be obviously applied also to more than a single note simultaneously.
In other circumstances, we can integrate the original structure with the addition of new intervals and notes or changing radically the structure by employing different generator intervals.
{ ! -- end of rough translation --}
----
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Chapter 5:  
Chapter 5:  
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To understand the nature of such accordances we should refer to specular reflections of light in a crystal, according to a tidy symmetry.&lt;br /&gt;
To understand the nature of such accordances we should refer to specular reflections of light in a crystal, according to a tidy symmetry.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
XXX&lt;br /&gt;
{ ! -- rough translation begins here --}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
An image that comes in mind about is the eight pointed 'star' sometimes appear in a photo area when the lens is stroke by a rather intense light source.&lt;br /&gt;
The Scriabin idea, so, is to render {paint?} this optical phenomena through the sounds.&lt;br /&gt;
From here the formation of a center-note (luminous central source) from which departs upper interval-rays and relative higher notes and, for simmetry or {mirrority?} law, lower reflected rays-intervals with equal amplitude but with upside-down direction and with relative notes lower than central note.&lt;br /&gt;
The central note so is called much properly nucleopolar note, out-and-out mirror where lower intervals and low notes reflects themselves in the higher intevals and the high notes.&lt;br /&gt;
The resulting chord - builded in perfect central simmetry or nucleopolarity - be the main sound plant at whom referring in the melody texture and int hte chord's architecture.&lt;br /&gt;
The modulation principle, in this sphere, must be meant as the least and &lt;br /&gt;
gradual variation of wideness of one or several intervals that are pivoted on the chord's nucleopolar note, or - more drastically - must be read as a radical and brusque transformation of the same intervals.&lt;br /&gt;
In Armodue, the nucleopolar harmony cans find a wider and more perfect enforcement, compared to twelve notes system. IN fact, a sixteen notes scale seems already to contain implicitly the central simmetry principle (sixteen is the perfect square of a perfect square -4- and corresponds to the mandala archetype as conceived in the almost entirety of world's cultures and traditions: an eight or sixteens rays wheel).&lt;br /&gt;
Let's assume, if example, the note 5 as nucleopolar. The note 5 will work as a mirror in which lower and higher intervals and notes will reflects.&lt;br /&gt;
If we elect the three intevals of six, eight and thirteen eka it will generate the sound structure (readed notes from left to right proceed neatly from low to high):&lt;br /&gt;
7 - 9 - 1# - 5 - 8 - 9 - 3&lt;br /&gt;
As we can verify, from the note 5 it spreads the two mirrored six eka intervals (defined by notes 1# - 5 and 5 - 8), the two intervals of eight eka (defined by notes 9 - 5 and 5 - 9) and the two intevals of thirteen eka (defined by notes 7 - 5 and 5 - 3).&lt;br /&gt;
We have so obtained three notes lower than nucleopolar 5 (the 7, 9 and 1#) and three higher than the same note 5 (the 8, 9, 3 notes)&lt;br /&gt;
The sound structure so obtained can be used as is in the construction of melody and chords, or it can be liable to undergo microvariations and be modulated.&lt;br /&gt;
If example, we can just bring a slight variation - so an asimmetry - that momentarily destabilize but in a significant way the strict &amp;quot;crystallinity&amp;quot; of sound altering the note 1# for bend one eka (substituting with note 2):&lt;br /&gt;
7 - 9 - 2 - 5 - 8 - 9 - 3&lt;br /&gt;
Later, we can restore the perfect equilibrium and simmetry of sonor structure altering in equal sense and contrary the note 8 that balances the note 2 (the 8 so goes down - in diametrally opposite way - of one eka and so substituted with note 7#):&lt;br /&gt;
7 - 9 - 2 - 5 - 7# - 9 - 3&lt;br /&gt;
The shown microvariation principle can be obviously applied also to more than a single note simultaneously.&lt;br /&gt;
In other circumstances, we can integrate the original structure with the addition of new intervals and notes or changing radically the structure by employing different generator intervals.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{ ! -- end of rough translation --}&lt;br /&gt;
&lt;hr /&gt;
&lt;hr /&gt;
Chapter 5: &lt;br /&gt;
Chapter 5: &lt;br /&gt;