Prodigy chords: Difference between revisions
Wikispaces>genewardsmith **Imported revision 287106236 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 287111784 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-12-17 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-17 21:48:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>287111784</tt>.<br> | ||
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=Miracle essentially tempered chords= | =Miracle essentially tempered chords= | ||
[[Gamelismic clan#Miracle|11-limit miracle temperament]] tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family#Jove, aka Wonder|jove]] and | [[Gamelismic clan#Miracle|11-limit miracle temperament]] tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family#Jove, aka Wonder|jove]] and [[undecimal marvel chords]]. Finally, there are the three listed above. | ||
Three chords may not seem by many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 74, pentads: 32, and hexads: 10. There are therefore actually more essentially tempered chords than just ones. | Three chords may not seem by many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 74, pentads: 32, and hexads: 10. There are therefore actually more essentially tempered chords than just ones. | ||
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<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Miracle essentially tempered chords"></a><!-- ws:end:WikiTextHeadingRule:0 -->Miracle essentially tempered chords</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Miracle essentially tempered chords"></a><!-- ws:end:WikiTextHeadingRule:0 -->Miracle essentially tempered chords</h1> | ||
<a class="wiki_link" href="/Gamelismic%20clan#Miracle">11-limit miracle temperament</a> tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">jove</a> and | <a class="wiki_link" href="/Gamelismic%20clan#Miracle">11-limit miracle temperament</a> tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">jove</a> and <a class="wiki_link" href="/undecimal%20marvel%20chords">undecimal marvel chords</a>. Finally, there are the three listed above.<br /> | ||
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Three chords may not seem by many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 74, pentads: 32, and hexads: 10. There are therefore actually more essentially tempered chords than just ones.<br /> | Three chords may not seem by many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 74, pentads: 32, and hexads: 10. There are therefore actually more essentially tempered chords than just ones.<br /> | ||
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EDOs supporting prodigy/miracle include 31, 41, 72, 216c, 247c, 319bcde, 391bcde, 463bcde.</body></html></pre></div> | EDOs supporting prodigy/miracle include 31, 41, 72, 216c, 247c, 319bcde, 391bcde, 463bcde.</body></html></pre></div> | ||