41edo: Difference between revisions
Wikispaces>hstraub **Imported revision 587901435 - Original comment: ** |
Wikispaces>TallKite **Imported revision 599967636 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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>2016-11-21 08:01:06 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>599967636</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> | ||
<h4>Original Wikitext content:</h4> | <h4>Original Wikitext content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html"><span style="color: #004d25; font-family: 'Times New Roman',Times,serif; font-size: 20px;">**41 Tone Equal Temperament**</span> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html"><span style="color: #004d25; font-family: 'Times New Roman',Times,serif; font-size: 20px;">**41 Tone Equal Temperament**</span> | ||
<span style="display: block; text-align: right;">[[xenharmonie/41edo|Deutsch]] | <span style="display: block; text-align: right;">[[xenharmonie/41edo|Deutsch]] | ||
</span> | </span> | ||
[[toc|flat]] | [[toc|flat]] | ||
| Line 255: | Line 255: | ||
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. | ||
41edo can be notated with ups and downs like so: | |||
Black and white keys: C * * * * * * D * * * * * * E * * F * * * * * * G * * * * * * A * * * * * * B * * C | |||
P1 ^P1 vm2 m2 ^m2 ~2 vM2 M2 ^M2 vm3 m3 ^m3 ~3 vM3 M3 ^M3 vP4 P4 ^P4 ^^P4 d5 ^d5 vvP5 vP5 P5 etc. | |||
In C: C C^ Dbv Db Db^ D D^ Ebv Eb Eb^ E E^ Fv F F^ F# Gb Gb^ G etc. | |||
41edo chord names: | |||
0-10-20 = D F Ab = Ddim = "D dim" | |||
0-10-21 = D F Ab^ = Ddim(^5) = "D dim up-five" | |||
0-10-22 = D F Avv = Dm(vv5) = "D minor double-down five", or possibly Ddim(^^5) | |||
0-10-23 = D F Av = Dm(v5) = "D minor down-five" | |||
0-10-24 = D F A = Dm = "D minor" | |||
0-11-24 = D F^ A = D.^m = "D upminor" | |||
0-12-24 = D F^^ A = D.~ = "D mid" | |||
0-13-24 = D F#v A = D.v = "D downmajor" or "D dot down" | |||
0-14-24 = D F# A = D = "D" or "D major" | |||
0-14-25 = D F# A^ = D(^5) = "D up-five" | |||
0-14-26 = D F# A^^ = D(^^5) = "D double-up-five", or possibly Daug(vv5) | |||
0-14-27 = D F# A#v = Daug(v5) = "D aug down-five" | |||
0-14-28 = D F# A# is Daug = "D aug" | |||
etc. | |||
=Music= | =Music= | ||
| Line 266: | Line 286: | ||
<h4>Original HTML content:</h4> | <h4>Original HTML content:</h4> | ||
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>41edo</title></head><body><span style="color: #004d25; font-family: 'Times New Roman',Times,serif; font-size: 20px;"><strong>41 Tone Equal Temperament</strong></span><br /> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>41edo</title></head><body><span style="color: #004d25; font-family: 'Times New Roman',Times,serif; font-size: 20px;"><strong>41 Tone Equal Temperament</strong></span><br /> | ||
<span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/41edo">Deutsch</a | <span style="display: block; text-align: right;"><a class="wiki_link" href="http://xenharmonie.wikispaces.com/41edo">Deutsch</a><br /> | ||
</span><br /> | </span><br /> | ||
<!-- ws:start:WikiTextTocRule:31:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><a href="#Introduction">Introduction</a><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --> | <a href="#Commas">Commas</a><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --> | <a href="#Temperaments">Temperaments</a><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --> | <a href="#Instruments">Instruments</a><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --> | <a href="#Harmonic Scale">Harmonic Scale</a><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --> | <a href="#Nonoctave Temperaments">Nonoctave Temperaments</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --> | <!-- ws:start:WikiTextTocRule:31:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:31 --><!-- ws:start:WikiTextTocRule:32: --><a href="#Introduction">Introduction</a><!-- ws:end:WikiTextTocRule:32 --><!-- ws:start:WikiTextTocRule:33: --> | <a href="#Commas">Commas</a><!-- ws:end:WikiTextTocRule:33 --><!-- ws:start:WikiTextTocRule:34: --> | <a href="#Temperaments">Temperaments</a><!-- ws:end:WikiTextTocRule:34 --><!-- ws:start:WikiTextTocRule:35: --> | <a href="#Intervals">Intervals</a><!-- ws:end:WikiTextTocRule:35 --><!-- ws:start:WikiTextTocRule:36: --><!-- ws:end:WikiTextTocRule:36 --><!-- ws:start:WikiTextTocRule:37: --> | <a href="#Instruments">Instruments</a><!-- ws:end:WikiTextTocRule:37 --><!-- ws:start:WikiTextTocRule:38: --> | <a href="#Harmonic Scale">Harmonic Scale</a><!-- ws:end:WikiTextTocRule:38 --><!-- ws:start:WikiTextTocRule:39: --> | <a href="#Nonoctave Temperaments">Nonoctave Temperaments</a><!-- ws:end:WikiTextTocRule:39 --><!-- ws:start:WikiTextTocRule:40: --><!-- ws:end:WikiTextTocRule:40 --><!-- ws:start:WikiTextTocRule:41: --> | <a href="#Music">Music</a><!-- ws:end:WikiTextTocRule:41 --><!-- ws:start:WikiTextTocRule:42: --> | <a href="#Links">Links</a><!-- ws:end:WikiTextTocRule:42 --><!-- ws:start:WikiTextTocRule:43: --> | ||
| Line 2,813: | Line 2,833: | ||
<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 /> | |||
41edo can be notated with ups and downs like so:<br /> | |||
Black and white keys: C * * * * * * D * * * * * * E * * F * * * * * * G * * * * * * A * * * * * * B * * C<br /> | |||
P1 ^P1 vm2 m2 ^m2 ~2 vM2 M2 ^M2 vm3 m3 ^m3 ~3 vM3 M3 ^M3 vP4 P4 ^P4 ^^P4 d5 ^d5 vvP5 vP5 P5 etc.<br /> | |||
In C: C C^ Dbv Db Db^ D D^ Ebv Eb Eb^ E E^ Fv F F^ F# Gb Gb^ G etc.<br /> | |||
41edo chord names:<br /> | |||
0-10-20 = D F Ab = Ddim = &quot;D dim&quot;<br /> | |||
0-10-21 = D F Ab^ = Ddim(^5) = &quot;D dim up-five&quot;<br /> | |||
0-10-22 = D F Avv = Dm(vv5) = &quot;D minor double-down five&quot;, or possibly Ddim(^^5)<br /> | |||
0-10-23 = D F Av = Dm(v5) = &quot;D minor down-five&quot;<br /> | |||
0-10-24 = D F A = Dm = &quot;D minor&quot;<br /> | |||
0-11-24 = D F^ A = D.^m = &quot;D upminor&quot;<br /> | |||
0-12-24 = D F^^ A = D.~ = &quot;D mid&quot;<br /> | |||
0-13-24 = D F#v A = D.v = &quot;D downmajor&quot; or &quot;D dot down&quot;<br /> | |||
0-14-24 = D F# A = D = &quot;D&quot; or &quot;D major&quot;<br /> | |||
0-14-25 = D F# A^ = D(^5) = &quot;D up-five&quot;<br /> | |||
0-14-26 = D F# A^^ = D(^^5) = &quot;D double-up-five&quot;, or possibly Daug(vv5)<br /> | |||
0-14-27 = D F# A#v = Daug(v5) = &quot;D aug down-five&quot;<br /> | |||
0-14-28 = D F# A# is Daug = &quot;D aug&quot;<br /> | |||
etc.<br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:27:&lt;h1&gt; --><h1 id="toc9"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:27 -->Music</h1> | <!-- ws:start:WikiTextHeadingRule:27:&lt;h1&gt; --><h1 id="toc9"><a name="Music"></a><!-- ws:end:WikiTextHeadingRule:27 -->Music</h1> | ||
| Line 2,818: | Line 2,858: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:29:&lt;h1&gt; --><h1 id="toc10"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:29 -->Links</h1> | <!-- ws:start:WikiTextHeadingRule:29:&lt;h1&gt; --><h1 id="toc10"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:29 -->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></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></ul><!-- ws:start:WikiTextReferencesRule:3835: --><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:3835 --></body></html></pre></div> | ||