Angel: Difference between revisions

Wikispaces>MasonGreen1
**Imported revision 585770693 - Original comment: **
Wikispaces>MasonGreen1
**Imported revision 585770715 - 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:MasonGreen1|MasonGreen1]] and made on <tt>2016-06-17 21:48:10 UTC</tt>.<br>
: This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2016-06-17 21:49:28 UTC</tt>.<br>
: The original revision id was <tt>585770693</tt>.<br>
: The original revision id was <tt>585770715</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt></tt><br>
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In particular, the angel MOS with 11 notes per period has long chains of ten octaves, which spans nearly the entire range of human hearing. Many if not most common-practice pieces can be easily translated into this scale, since the deviation from a purely octave-repeating system only becomes apparent for melodies and harmonies spanning several octaves. Compound intervals (spanning more than an octave) are sometimes perceived as more or less consonant than their simple counterparts; this is especially true for high-limit intervals like 11:8 (which is more consonant in compound form). Thus it may actually be beneficial to use a system that doesn't exactly repeat at the octave.
In particular, the angel MOS with 11 notes per period has long chains of ten octaves, which spans nearly the entire range of human hearing. Many if not most common-practice pieces can be easily translated into this scale, since the deviation from a purely octave-repeating system only becomes apparent for melodies and harmonies spanning several octaves. Compound intervals (spanning more than an octave) are sometimes perceived as more or less consonant than their simple counterparts; this is especially true for high-limit intervals like 11:8 (which is more consonant in compound form). Thus it may actually be beneficial to use a system that doesn't exactly repeat at the octave.
The complexity of the complete 12-limit otonality (1:2:3:4:5:6:7:8:9:10:11:12) is nine, and those of the 10-limit and 8-limit otonalities are both four. The angel-chromatic scale thus contains three (up to period equivalence) complete otonalities and three complete utonalities in the 10-limit, while the angel-enharmonic scale contains two of each 12-limit complete chord.


Straight-fretted angel guitars would be a possibility; such guitars would have unequally spaced frets and would need to be tuned in [[https://en.wikipedia.org/wiki/All_fifths_tuning|all-fifths]], since the period is a fifth.
Straight-fretted angel guitars would be a possibility; such guitars would have unequally spaced frets and would need to be tuned in [[https://en.wikipedia.org/wiki/All_fifths_tuning|all-fifths]], since the period is a fifth.
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In particular, the angel MOS with 11 notes per period has long chains of ten octaves, which spans nearly the entire range of human hearing. Many if not most common-practice pieces can be easily translated into this scale, since the deviation from a purely octave-repeating system only becomes apparent for melodies and harmonies spanning several octaves. Compound intervals (spanning more than an octave) are sometimes perceived as more or less consonant than their simple counterparts; this is especially true for high-limit intervals like 11:8 (which is more consonant in compound form). Thus it may actually be beneficial to use a system that doesn't exactly repeat at the octave.&lt;br /&gt;
In particular, the angel MOS with 11 notes per period has long chains of ten octaves, which spans nearly the entire range of human hearing. Many if not most common-practice pieces can be easily translated into this scale, since the deviation from a purely octave-repeating system only becomes apparent for melodies and harmonies spanning several octaves. Compound intervals (spanning more than an octave) are sometimes perceived as more or less consonant than their simple counterparts; this is especially true for high-limit intervals like 11:8 (which is more consonant in compound form). Thus it may actually be beneficial to use a system that doesn't exactly repeat at the octave.&lt;br /&gt;
&lt;br /&gt;
The complexity of the complete 12-limit otonality (1:2:3:4:5:6:7:8:9:10:11:12) is nine, and those of the 10-limit and 8-limit otonalities are both four. The angel-chromatic scale thus contains three (up to period equivalence) complete otonalities and three complete utonalities in the 10-limit, while the angel-enharmonic scale contains two of each 12-limit complete chord.&lt;br /&gt;
&lt;br /&gt;
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Straight-fretted angel guitars would be a possibility; such guitars would have unequally spaced frets and would need to be tuned in &lt;a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/All_fifths_tuning" rel="nofollow"&gt;all-fifths&lt;/a&gt;, since the period is a fifth.&lt;br /&gt;
Straight-fretted angel guitars would be a possibility; such guitars would have unequally spaced frets and would need to be tuned in &lt;a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/All_fifths_tuning" rel="nofollow"&gt;all-fifths&lt;/a&gt;, since the period is a fifth.&lt;br /&gt;
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*Because this temperament almost seems too good to be true.&lt;/body&gt;&lt;/html&gt;</pre></div>
*Because this temperament almost seems too good to be true.&lt;/body&gt;&lt;/html&gt;</pre></div>