|
|
| (26 intermediate revisions by 16 users not shown) |
| Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox Interval |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | | Name = Pythagorean major third, ditone |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-09 22:10:37 UTC</tt>.<br>
| | | Color name = Lw3, lawa 3rd |
| : The original revision id was <tt>513415726</tt>.<br>
| | | Sound = jid_81_64_pluck_adu_dr220.mp3 |
| : 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>
| | {{Wikipedia|Ditone}} |
| <h4>Original Wikitext content:</h4>
| | The '''Pythagorean major third''', '''81/64''' may be reached by stacking four perfect fifths ([[3/2]]), and reducing by two [[octave]]s. It is also known as the '''ditone''', as it may be reached by stacking two (Pythagorean whole) [[tone]]s ([[9/8]]). In contrast to the more typical [[5/4]]—with which it is conflated in [[meantone]]—this interval is a bit more discordant on its own, with a [[harmonic entropy]] level somewhere between that of [[9/8]] and that of [[8/7]]. Thus, some would argue that it is functionally an imperfect dissonance. |
| <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">**81/64**
| |
| |-6 4>
| |
| 407.8200 cents
| |
| [[media type="file" key="jid_81_64_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_81_64_pluck_adu_dr220.mp3|sound sample]] | |
|
| |
|
| The Pythagorean major third, 81/64, may be reached by stacking four perfect fifths ([[3_2|3/2]]), and reducing by two octaves.
| | == See also == |
| </pre></div>
| | * [[128/81]] – its [[octave complement]] |
| <h4>Original HTML content:</h4>
| | * [[32/27]] – its [[fifth complement]] |
| <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>81_64</title></head><body><strong>81/64</strong><br />
| | * [[Gallery of just intervals]] |
| |-6 4&gt;<br />
| | * [[Pythagorean tuning]] |
| 407.8200 cents<br />
| | |
| <!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_81_64_pluck_adu_dr220.mp3?h=20&amp;w=240&quot; class=&quot;WikiMedia WikiMediaFile&quot; id=&quot;wikitext@@media@@type=&amp;quot;file&amp;quot; key=&amp;quot;jid_81_64_pluck_adu_dr220.mp3&amp;quot;&quot; title=&quot;Local Media File&quot;height=&quot;20&quot; width=&quot;240&quot;/&gt; --><embed src="/s/mediaplayer.swf" pluginspage="http://www.macromedia.com/go/getflashplayer" type="application/x-shockwave-flash" quality="high" width="240" height="20" wmode="transparent" flashvars="file=http%253A%252F%252Fxenharmonic.wikispaces.com%252Ffile%252Fview%252Fjid_81_64_pluck_adu_dr220.mp3?file_extension=mp3&autostart=false&repeat=false&showdigits=true&showfsbutton=false&width=240&height=20"></embed><!-- ws:end:WikiTextMediaRule:0 --> <a href="http://xenharmonic.wikispaces.com/file/view/jid_81_64_pluck_adu_dr220.mp3/513415348/jid_81_64_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_81_64_pluck_adu_dr220.mp3/513415348/jid_81_64_pluck_adu_dr220.mp3');">sound sample</a><br />
| | [[Category:Third]] |
| <br />
| | [[Category:Major third]] |
| The Pythagorean major third, 81/64, may be reached by stacking four perfect fifths (<a class="wiki_link" href="/3_2">3/2</a>), and reducing by two octaves.</body></html></pre></div>
| |
The Pythagorean major third, 81/64 may be reached by stacking four perfect fifths (3/2), and reducing by two octaves. It is also known as the ditone, as it may be reached by stacking two (Pythagorean whole) tones (9/8). In contrast to the more typical 5/4—with which it is conflated in meantone—this interval is a bit more discordant on its own, with a harmonic entropy level somewhere between that of 9/8 and that of 8/7. Thus, some would argue that it is functionally an imperfect dissonance.
See also