Angel: Difference between revisions
Wikispaces>MasonGreen1 **Imported revision 584997871 - Original comment: ** |
Wikispaces>MasonGreen1 **Imported revision 585770693 - 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- | : This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2016-06-17 21:48:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>585770693</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> | ||
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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. | 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. | |||
*Because this temperament almost seems too good to be true.</pre></div> | *Because this temperament almost seems too good to be true.</pre></div> | ||
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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.<br /> | 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.<br /> | ||
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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 <a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/All_fifths_tuning" rel="nofollow">all-fifths</a>, since the period is a fifth.<br /> | |||
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*Because this temperament almost seems too good to be true.</body></html></pre></div> | *Because this temperament almost seems too good to be true.</body></html></pre></div> | ||