41edo: Difference between revisions
Wikispaces>spt3125 **Imported revision 615832291 - Original comment: added link (deorphaning)** |
Wikispaces>TallKite **Imported revision 617217617 - 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: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-09-05 14:37:21 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>617217617</tt>.<br> | ||
: The revision comment was: <tt> | : 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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
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||= 31 ||= 907.32 ||< [[27_16|27/16]] ||= M6 ||= B || Gray major sixth || laa || || || | ||= 31 ||= 907.32 ||< [[27_16|27/16]] ||= M6 ||= B || Gray major sixth || laa || || || | ||
||= 32 ||= 936.59 ||< [[12_7|12/7]] ||= ^M6 ||= B^ || Red major sixth || li || || || | ||= 32 ||= 936.59 ||< [[12_7|12/7]] ||= ^M6 ||= B^ || Red major sixth || li || || || | ||
||= 33 ||= 965.85 ||< [[7_4|7/4]] ||= vm7 ||= | ||= 33 ||= 965.85 ||< [[7_4|7/4]] ||= vm7 ||= Cv || Blue minor seventh || ta || || || | ||
||= 34 ||= 995.12 ||< [[16_9|16/9]] ||= m7 ||= C || Gray minor seventh || teh || || || | ||= 34 ||= 995.12 ||< [[16_9|16/9]] ||= m7 ||= C || Gray minor seventh || teh || || || | ||
||= 35 ||= 1024.39 ||< [[9_5|9/5]], [[20_11|20/11]] ||= ^m7 ||= C^ || Red minor seventh || te || || || | ||= 35 ||= 1024.39 ||< [[9_5|9/5]], [[20_11|20/11]] ||= ^m7 ||= C^ || Red minor seventh || te || || || | ||
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A possible system to tune keyboards in 41EDO is discussed in [[http://launch.groups.yahoo.com/group/tuning/message/74155]]. | A possible system to tune keyboards in 41EDO is discussed in [[http://launch.groups.yahoo.com/group/tuning/message/74155]]. | ||
=Scales and modes= | =Scales and modes= | ||
A list of [[41edo modes]] (MOS and others). | A list of [[41edo modes]] (MOS and others). | ||
===Harmonic Scale=== | ===Harmonic Scale=== | ||
41edo is the first edo to do some justice to Mode 8 of the [[OverToneSeries|harmonic series]], which Dante Rosati calls the "[[overtone scales|Diatonic Harmonic Series Scale]]," consisting of overtones 8 through 16 (sometimes made to repeat at the octave). | 41edo is the first edo to do some justice to Mode 8 of the [[OverToneSeries|harmonic series]], which Dante Rosati calls the "[[overtone scales|Diatonic Harmonic Series Scale]]," consisting of overtones 8 through 16 (sometimes made to repeat at the octave). | ||
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The step size of 41edo is small enough that the smallest interval (the "red/blue unison", seventh-tone, comma, diesis or whatever you want to call it) is actually fairly consonant with most timbres; it resembles a "noticeably out of tune unison" rather than a minor second, and has its own distinct character and appeal. | The step size of 41edo is small enough that the smallest interval (the "red/blue unison", seventh-tone, comma, diesis or whatever you want to call it) is actually fairly consonant with most timbres; it resembles a "noticeably out of tune unison" rather than a minor second, and has its own distinct character and appeal. | ||
If "red" is replaced by "up", "blue" by "down", and "neutral" by "mid", and if "gray" is omitted, this notation becomes essentially the same as [[Ups and Downs Notation|ups and downs notation]]. The only difference is the use of minor tritone and major tritone. | |||
| Line 1,617: | Line 1,619: | ||
<td style="text-align: center;">vm7<br /> | <td style="text-align: center;">vm7<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">Cv<br /> | ||
</td> | </td> | ||
<td>Blue minor seventh<br /> | <td>Blue minor seventh<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:21:&lt;h1&gt; --><h1 id="toc6"><a name="Scales and modes"></a><!-- ws:end:WikiTextHeadingRule:21 -->Scales and modes</h1> | <!-- ws:start:WikiTextHeadingRule:21:&lt;h1&gt; --><h1 id="toc6"><a name="Scales and modes"></a><!-- ws:end:WikiTextHeadingRule:21 -->Scales and modes</h1> | ||
<br /> | <br /> | ||
A list of <a class="wiki_link" href="/41edo%20modes">41edo modes</a> (MOS and others).<br /> | A list of <a class="wiki_link" href="/41edo%20modes">41edo modes</a> (MOS and others).<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:23:&lt;h3&gt; --><h3 id="toc7"><a name="Scales and modes--Harmonic Scale"></a><!-- ws:end:WikiTextHeadingRule:23 -->Harmonic Scale</h3> | <!-- ws:start:WikiTextHeadingRule:23:&lt;h3&gt; --><h3 id="toc7"><a name="Scales and modes--Harmonic Scale"></a><!-- ws:end:WikiTextHeadingRule:23 -->Harmonic Scale</h3> | ||
41edo is the first edo to do some justice to Mode 8 of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a>, which Dante Rosati calls the &quot;<a class="wiki_link" href="/overtone%20scales">Diatonic Harmonic Series Scale</a>,&quot; consisting of overtones 8 through 16 (sometimes made to repeat at the octave).<br /> | 41edo is the first edo to do some justice to Mode 8 of the <a class="wiki_link" href="/OverToneSeries">harmonic series</a>, which Dante Rosati calls the &quot;<a class="wiki_link" href="/overtone%20scales">Diatonic Harmonic Series Scale</a>,&quot; consisting of overtones 8 through 16 (sometimes made to repeat at the octave).<br /> | ||
<br /> | <br /> | ||
| Line 3,070: | Line 3,072: | ||
<br /> | <br /> | ||
The step size of 41edo is small enough that the smallest interval (the &quot;red/blue unison&quot;, seventh-tone, comma, diesis or whatever you want to call it) is actually fairly consonant with most timbres; it resembles a &quot;noticeably out of tune unison&quot; rather than a minor second, and has its own distinct character and appeal.<br /> | The step size of 41edo is small enough that the smallest interval (the &quot;red/blue unison&quot;, seventh-tone, comma, diesis or whatever you want to call it) is actually fairly consonant with most timbres; it resembles a &quot;noticeably out of tune unison&quot; rather than a minor second, and has its own distinct character and appeal.<br /> | ||
<br /> | |||
If &quot;red&quot; is replaced by &quot;up&quot;, &quot;blue&quot; by &quot;down&quot;, and &quot;neutral&quot; by &quot;mid&quot;, and if &quot;gray&quot; is omitted, this notation becomes essentially the same as <a class="wiki_link" href="/Ups%20and%20Downs%20Notation">ups and downs notation</a>. The only difference is the use of minor tritone and major tritone.<br /> | |||
<br /> | <br /> | ||
<br /> | <br /> | ||
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<!-- ws:start:WikiTextHeadingRule:31:&lt;h1&gt; --><h1 id="toc11"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:31 -->Links</h1> | <!-- ws:start:WikiTextHeadingRule:31:&lt;h1&gt; --><h1 id="toc11"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:31 -->Links</h1> | ||
<ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow">Wikipedia article on 41edo</a></li><li><a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis">Magic22 as srutis</a> describes a possible use of 41edo for <a class="wiki_link" href="/indian">indian</a> music.</li><li>see also <a class="wiki_link" href="/Magic%20family">Magic family</a></li><li>Sword, Ron. <a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank">&quot;Tetracontamonophonic Scales for Guitar&quot;</a></li><li>Taylor, Cam. <a class="wiki_link_ext" href="https://drive.google.com/open?id=0B3wIGTmjY_VZYllwcHI0d3hEc3M" rel="nofollow">Intervals, Scales and Chords in 41EDO</a>, a work in progress using just intonation concepts and simplified Sagittal notation.</li></ul><!-- ws:start:WikiTextReferencesRule: | <ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow">Wikipedia article on 41edo</a></li><li><a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis">Magic22 as srutis</a> describes a possible use of 41edo for <a class="wiki_link" href="/indian">indian</a> music.</li><li>see also <a class="wiki_link" href="/Magic%20family">Magic family</a></li><li>Sword, Ron. <a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank">&quot;Tetracontamonophonic Scales for Guitar&quot;</a></li><li>Taylor, Cam. <a class="wiki_link_ext" href="https://drive.google.com/open?id=0B3wIGTmjY_VZYllwcHI0d3hEc3M" rel="nofollow">Intervals, Scales and Chords in 41EDO</a>, a work in progress using just intonation concepts and simplified Sagittal notation.</li></ul><!-- ws:start:WikiTextReferencesRule:4145: --><hr class="references" /><ol class="references"> | ||
<li id="cite_note-1"><a href="#cite_ref-1">^</a> <a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow">&quot;Schismic Temperaments&quot;</a> at x31eq.com the website of <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a></li> | <li id="cite_note-1"><a href="#cite_ref-1">^</a> <a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow">&quot;Schismic Temperaments&quot;</a> at x31eq.com the website of <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a></li> | ||
<li id="cite_note-2"><a href="#cite_ref-2">^</a> <a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow">&quot;Lattices with Decimal Notation&quot;</a> at x31eq.com</li> | <li id="cite_note-2"><a href="#cite_ref-2">^</a> <a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow">&quot;Lattices with Decimal Notation&quot;</a> at x31eq.com</li> | ||
<li id="cite_note-3"><a href="#cite_ref-3">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow">Schismatic temperament</a></li> | <li id="cite_note-3"><a href="#cite_ref-3">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow">Schismatic temperament</a></li> | ||
<li id="cite_note-4"><a href="#cite_ref-4">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Magic_temperament" rel="nofollow">Magic temperament</a></li> | <li id="cite_note-4"><a href="#cite_ref-4">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Magic_temperament" rel="nofollow">Magic temperament</a></li> | ||
</ol><!-- ws:end:WikiTextReferencesRule: | </ol><!-- ws:end:WikiTextReferencesRule:4145 --></body></html></pre></div> | ||