Neutron: Difference between revisions
Wikispaces>kai.lugheidh **Imported revision 611666703 - Original comment: ** |
Wikispaces>kai.lugheidh **Imported revision 611666805 - 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:kai.lugheidh|kai.lugheidh]] and made on <tt>2017-04-28 00: | : This revision was by author [[User:kai.lugheidh|kai.lugheidh]] and made on <tt>2017-04-28 00:06:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>611666805</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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=Generator Investigations= | =Generator Investigations= | ||
==Candidate 1== | ==Candidate 1== | ||
One possibility is a generator around 30 cents. This generator can be chained both the positive and negative directions from the tonic 5 times without traversing the period, leading to a "complete" MOS of 77 tones, 5|5(7) in UDP notation. See [[ | One possibility is a generator around 30 cents. This generator can be chained both the positive and negative directions from the tonic 5 times without traversing the period, leading to a "complete" MOS of 77 tones, 5|5(7) in UDP notation. See [[xenharmonic/neutron77-maybe|here]]. If it doesn't pan out to anything worthy of the original name, it could alternately be called "Lucky", "Jackpot", or "Fortune" due to the abundance of 7s in its construction and structure. Although given the problems stated below, maybe that's not so apposite. | ||
Upon study of this MOS, a curious pattern of "blind spots" emerges for certain harmonics, namely that certain pairs of intervals considered to be the "major" and "minor" of that limit have one interval tuned well but not the other. In the 5-limit, 6/5 has an very close representative, but 5/4 has to settle for one more than 8c away. Likewise in the 7-limit, where 7/6 is more out-of-tune than 9/7, although a bit less so than the 5s. 11 and 13 are tuned okay; higher harmonics aren't really represented. It is likely one would need a high complexity for an accurate tuning of 5 and 7. | Upon study of this MOS, a curious pattern of "blind spots" emerges for certain harmonics, namely that certain pairs of intervals considered to be the "major" and "minor" of that limit have one interval tuned well but not the other. In the 5-limit, 6/5 has an very close representative, but 5/4 has to settle for one more than 8c away. Likewise in the 7-limit, where 7/6 is more out-of-tune than 9/7, although a bit less so than the 5s. 11 and 13 are tuned okay; higher harmonics aren't really represented. It is likely one would need a high complexity for an accurate tuning of 5 and 7. | ||
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<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Generator Investigations"></a><!-- ws:end:WikiTextHeadingRule:6 -->Generator Investigations</h1> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Generator Investigations"></a><!-- ws:end:WikiTextHeadingRule:6 -->Generator Investigations</h1> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Generator Investigations-Candidate 1"></a><!-- ws:end:WikiTextHeadingRule:8 -->Candidate 1</h2> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Generator Investigations-Candidate 1"></a><!-- ws:end:WikiTextHeadingRule:8 -->Candidate 1</h2> | ||
One possibility is a generator around 30 cents. This generator can be chained both the positive and negative directions from the tonic 5 times without traversing the period, leading to a &quot;complete&quot; MOS of 77 tones, 5|5(7) in UDP notation. See <a class=" | One possibility is a generator around 30 cents. This generator can be chained both the positive and negative directions from the tonic 5 times without traversing the period, leading to a &quot;complete&quot; MOS of 77 tones, 5|5(7) in UDP notation. See <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutron77-maybe">here</a>. If it doesn't pan out to anything worthy of the original name, it could alternately be called &quot;Lucky&quot;, &quot;Jackpot&quot;, or &quot;Fortune&quot; due to the abundance of 7s in its construction and structure. Although given the problems stated below, maybe that's not so apposite.<br /> | ||
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Upon study of this MOS, a curious pattern of &quot;blind spots&quot; emerges for certain harmonics, namely that certain pairs of intervals considered to be the &quot;major&quot; and &quot;minor&quot; of that limit have one interval tuned well but not the other. In the 5-limit, 6/5 has an very close representative, but 5/4 has to settle for one more than 8c away. Likewise in the 7-limit, where 7/6 is more out-of-tune than 9/7, although a bit less so than the 5s. 11 and 13 are tuned okay; higher harmonics aren't really represented. It is likely one would need a high complexity for an accurate tuning of 5 and 7.<br /> | Upon study of this MOS, a curious pattern of &quot;blind spots&quot; emerges for certain harmonics, namely that certain pairs of intervals considered to be the &quot;major&quot; and &quot;minor&quot; of that limit have one interval tuned well but not the other. In the 5-limit, 6/5 has an very close representative, but 5/4 has to settle for one more than 8c away. Likewise in the 7-limit, where 7/6 is more out-of-tune than 9/7, although a bit less so than the 5s. 11 and 13 are tuned okay; higher harmonics aren't really represented. It is likely one would need a high complexity for an accurate tuning of 5 and 7.<br /> | ||
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&lt;more to come; contributions such as comma ideas, different generators, other useful modes/mappings with existing generators, etc. are welcome. I very obviously don't know what I'm doing.&gt;</body></html></pre></div> | &lt;more to come; contributions such as comma ideas, different generators, other useful modes/mappings with existing generators, etc. are welcome. I very obviously don't know what I'm doing.&gt;</body></html></pre></div> | ||