64/61: Difference between revisions

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<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 = harry minor semitone
: This revision was by author [[User:spt3125|spt3125]] and made on <tt>2014-06-30 20:55:51 UTC</tt>.<br>
| Color name = 61u2, siwu 2nd
: The original revision id was <tt>515317156</tt>.<br>
| Sound = jid_64_61_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>
<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">**64/61**
= 2&lt;span style="font-size: 80%; vertical-align: super;"&gt;6&lt;/span&gt; * 61&lt;span style="font-size: 80%; vertical-align: super;"&gt;-1&lt;/span&gt;
83.1152 cents
[[media type="file" key="jid_64_61_pluck_adu_dr220.mp3"]] [[file:xenharmonic/jid_64_61_pluck_adu_dr220.mp3|sound sample]]


The harry minor semitone makes for a good tuning for [[Gravity family#Harry|harry temperament]], and in particular is only 0.001 cents flat of the POTE generator for 13-limit harry. It also makes for an excellent tuning for the generator of [[Kleismic family#Tritikleismic|tritikleismic temperament]]; hence, harry consists of two parallel tracks of 64/61 steps and tritikleismic of three parallel tracks. As a fraction of an octave 64/61 falls between 9\130 and 7\101. It can also be described as the octave reduced 61st subharmonic.</pre></div>
'''64/61''' is the [[Octave reduction|octave-reduced]] 61st [[subharmonic]]. It is flat of the [[256/243|Pythagorean limma (243/128)]] by [[244/243]]. It can also be described as the harry minor semitone, as it makes for a good tuning for [[harry]] temperament, and in particular is only 0.001 cents flat of the [[POTE tuning|POTE generator]] for [[13-limit]] harry. It also makes for an excellent tuning for the generator of [[tritikleismic]] temperament; hence, harry consists of two parallel tracks of 64/61 steps and tritikleismic of three parallel tracks. As a fraction of an octave 64/61 falls between 9\[[130edo|130]] and 7\[[101edo|101]].  
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;64_61&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;strong&gt;64/61&lt;/strong&gt;&lt;br /&gt;
== See also ==
= 2&lt;span style="font-size: 80%; vertical-align: super;"&gt;6&lt;/span&gt; * 61&lt;span style="font-size: 80%; vertical-align: super;"&gt;-1&lt;/span&gt;&lt;br /&gt;
* [[61/32]] – its [[octave complement]]
83.1152 cents&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file-audio/jid_64_61_pluck_adu_dr220.mp3?h=20&amp;amp;w=240&amp;quot; class=&amp;quot;WikiMedia WikiMediaFile&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;file&amp;amp;quot; key=&amp;amp;quot;jid_64_61_pluck_adu_dr220.mp3&amp;amp;quot;&amp;quot; title=&amp;quot;Local Media File&amp;quot;height=&amp;quot;20&amp;quot; width=&amp;quot;240&amp;quot;/&amp;gt; --&gt;&lt;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_64_61_pluck_adu_dr220.mp3?file_extension=mp3&amp;autostart=false&amp;repeat=false&amp;showdigits=true&amp;showfsbutton=false&amp;width=240&amp;height=20"&gt;&lt;/embed&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt; &lt;a href="http://xenharmonic.wikispaces.com/file/view/jid_64_61_pluck_adu_dr220.mp3/515315772/jid_64_61_pluck_adu_dr220.mp3" onclick="ws.common.trackFileLink('http://xenharmonic.wikispaces.com/file/view/jid_64_61_pluck_adu_dr220.mp3/515315772/jid_64_61_pluck_adu_dr220.mp3');"&gt;sound sample&lt;/a&gt;&lt;br /&gt;
[[Category:Second]]
&lt;br /&gt;
[[Category:Semitone]]
The harry minor semitone makes for a good tuning for &lt;a class="wiki_link" href="/Gravity%20family#Harry"&gt;harry temperament&lt;/a&gt;, and in particular is only 0.001 cents flat of the POTE generator for 13-limit harry. It also makes for an excellent tuning for the generator of &lt;a class="wiki_link" href="/Kleismic%20family#Tritikleismic"&gt;tritikleismic temperament&lt;/a&gt;; hence, harry consists of two parallel tracks of 64/61 steps and tritikleismic of three parallel tracks. As a fraction of an octave 64/61 falls between 9\130 and 7\101. It can also be described as the octave reduced 61st subharmonic.&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 10:05, 7 December 2024

Interval information
Ratio 64/61
Subgroup monzo 2.61 [6 -1
Size in cents 83.11519¢
Name harry minor semitone
Color name 61u2, siwu 2nd
FJS name [math]\displaystyle{ \text{m2}_{61} }[/math]
Special properties reduced,
reduced subharmonic
Tenney height (log2 nd) 11.9307
Weil height (log2 max(n, d)) 12
Wilson height (sopfr(nd)) 73

[sound info]
Open this interval in xen-calc

64/61 is the octave-reduced 61st subharmonic. It is flat of the Pythagorean limma (243/128) by 244/243. It can also be described as the harry minor semitone, as it makes for a good tuning for harry temperament, and in particular is only 0.001 cents flat of the POTE generator for 13-limit harry. It also makes for an excellent tuning for the generator of tritikleismic temperament; hence, harry consists of two parallel tracks of 64/61 steps and tritikleismic of three parallel tracks. As a fraction of an octave 64/61 falls between 9\130 and 7\101.

See also