Armodue theory: Difference between revisions

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''(summary translation from the Italian language site'' [http://www.armodue.com/ricerche.htm Armodue] '')''
''(summary translation from the Italian language site'' [http://www.armodue.com/ricerche.htm Armodue] '')''


Armodue theory referring not only to the [[16edo|16-tone equal temperament]], but also to half-equal and [[Lou_Harrison|Lou Harrison]]'s [[JustIntonation|Just intonation]] 16 note scale, the natural octave division by [http://www.pertout.com/ Andrián Pertout] and the 16-to-31 [[OverToneSeries|overtone scale]], Armodue has been proposed as a new notation and theory system.
Armodue theory, not only in the sense of [[16edo|16-tone equal temperament]], but also regarding half-equal tuning and [[Lou_Harrison|Lou Harrison]]'s [[JustIntonation|Just intonation]] 16 note scale, the natural octave division by [http://www.pertout.com/ Andrián Pertout], and the 16-to-31 [[OverToneSeries|overtone scale]], is a xenharmonic notation and theory system for 16-note tuning.


Desiring to make the approach to Armodue as easy as possible, but conscious that they had to give new names to the notes that constitute the system, the Italian creators of the [http://armodue.com/ Armodue] system named them numbering from 1 to 9:
In order to make Armodue approachable, while also making its notation distinct from Western diatonic notation, the Italian creators of the [http://armodue.com/ Armodue] system named the notes numbering from 1 to 9:


1, 1#, 2, 2#, 3, 3#, 4, 5, 5#, 6, 6#, 7, 7#, 8, 8#, 9
1, 1#, 2, 2#, 3, 3#, 4, 5, 5#, 6, 6#, 7, 7#, 8, 8#, 9


Consequently, the interval between a note at frequency n and other at frequency 2n is called a ''tenth'' or ''decave''.
Consequently, the interval between a note at frequency n and other at frequency 2n is called a ''tenth,'' ''decave,'' or ''decim''.


The basic semitone of Armodue, whatever concrete temperament is used, is always called '''eka''' (from Sanskrit eka: one, unit). In the chromatic Armodue scale, one eka always corresponds to the interval between any two consecutive notes.
The basic semitone of Armodue, whatever concrete temperament is used, is always called '''eka''' (from Sanskrit eka: one, unit). In the chromatic Armodue scale, one eka always corresponds to the interval between any two consecutive notes.
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The notes without accidentals form a [[Mavila|Mavila]] [[7L_2s|superdiatonic scale (7L 2s)]].
The notes without accidentals form a [[Mavila|Mavila]] [[7L_2s|armotonic scale (7L 2s)]].


If for the execution of a musical piece we need to write on two or more tetragrams, the notes will be written in the same way for every tetragram.
If for the execution of a musical piece we need to write on two or more tetragrams, the notes will be written in the same way for every tetragram.