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==Theory==  
==Theory==  
16-tone equal temperament is the division of the octave into sixteen narrow chromatic semitones. It can be treated as 4 interwoven diminished seven arpeggios, or as 2 interwoven 8-edo scales (narrow 11-limit whole tones which when stacked produce minor third intervals). 16-tone has the same stacked minor thirds diminished seventh scale/chord available in 12, and It is often cited that the most consonant chords involve the tritone. (However with the correct timbre, one can suggest consonance with any tuning.)
1 octave into 8 equal parts = 2 2 2 2 2 2 2 2 = 3/4 tone Neutral Second Progression
2 octaves into 8 equal parts = 4 4 4 4 4 4 4 4 = Classic Minor Third Progression
3 octaves into 8 equal parts = 6 6 6 6 6 6 6 6 = 9/4tone or Septimal semi-dim Fourth Progression
4 octaves into 8 equal parts = 8 8 8 8 8 8 8 8 = Tritone Progression
5 octaves into 8 equal parts = 10 10 10 10 10 10 10 10 = Septimal semi-aug Fifth Progression
6 octaves into 8 equal parts = 12 12 12 12 12 12 12 12 = Classic Sixth Progression
7 octaves into 8 equal parts = 14 14 14 14 14 14 14 14 = 21/4 tone or Neutral Seventh Progression
8 octaves into 8 equal parts = 16 16 16 16 16 16 16 16 = Octave Progression
9 octaves into 8 equal parts = 18 18 18 18 18 18 18 18 = Ninth Progression
[[http://www.armodue.com/ricerche.htm|Armodue]]: Italian pages of theory for 16-tone (esadekaphonic) system, including compositions - translation, anyone?
[[http://www.armodue.com/ricerche.htm|Armodue]]: Italian pages of theory for 16-tone (esadekaphonic) system, including compositions - translation, anyone?


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  &lt;a class="wiki_link_ext" href="http://www.armodue.com/ricerche.htm" rel="nofollow"&gt;Armodue&lt;/a&gt;: Italian pages of theory for 16-tone (esadekaphonic) system, including compositions - translation, anyone?&lt;br /&gt;
  16-tone equal temperament is the division of the octave into sixteen narrow chromatic semitones. It can be treated as 4 interwoven diminished seven arpeggios, or as 2 interwoven 8-edo scales (narrow 11-limit whole tones which when stacked produce minor third intervals). 16-tone has the same stacked minor thirds diminished seventh scale/chord available in 12, and It is often cited that the most consonant chords involve the tritone. (However with the correct timbre, one can suggest consonance with any tuning.)&lt;br /&gt;
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1 octave into 8 equal parts = 2 2 2 2 2 2 2 2 = 3/4 tone Neutral Second Progression&lt;br /&gt;
2 octaves into 8 equal parts = 4 4 4 4 4 4 4 4 = Classic Minor Third Progression&lt;br /&gt;
3 octaves into 8 equal parts = 6 6 6 6 6 6 6 6 = 9/4tone or Septimal semi-dim Fourth Progression&lt;br /&gt;
4 octaves into 8 equal parts = 8 8 8 8 8 8 8 8 = Tritone Progression&lt;br /&gt;
5 octaves into 8 equal parts = 10 10 10 10 10 10 10 10 = Septimal semi-aug Fifth Progression&lt;br /&gt;
6 octaves into 8 equal parts = 12 12 12 12 12 12 12 12 = Classic Sixth Progression&lt;br /&gt;
7 octaves into 8 equal parts = 14 14 14 14 14 14 14 14 = 21/4 tone or Neutral Seventh Progression&lt;br /&gt;
8 octaves into 8 equal parts = 16 16 16 16 16 16 16 16 = Octave Progression&lt;br /&gt;
9 octaves into 8 equal parts = 18 18 18 18 18 18 18 18 = Ninth Progression&lt;br /&gt;
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&lt;a class="wiki_link_ext" href="http://www.armodue.com/ricerche.htm" rel="nofollow"&gt;Armodue&lt;/a&gt;: Italian pages of theory for 16-tone (esadekaphonic) system, including compositions - translation, anyone?&lt;br /&gt;
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