Ampersand comma: Difference between revisions

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Wikispaces>Andrew_Heathwaite
**Imported revision 282669014 - Original comment: **
-data (addressed in the syntonic-31 continuum)
 
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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>
| Ratio = 34171875/33554432
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-12-05 21:48:59 UTC</tt>.<br>
| Name = ampersand comma
: The original revision id was <tt>282669014</tt>.<br>
| Color name = LLy<sup>6</sup>-3, Lala-tribiyo comma
: The revision comment was: <tt></tt><br>
| Comma = yes
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">The ampersand, or Ampersand's [[comma]], is the interval of 34171875/33554432 ([[monzo]]: |-25 7 6&gt;), of size 31.567 cents. It is the amount by which six [[16_15|diatonic semitones]] fall short of a fifth; that is, (3/2)/(16/15)^6. The 5-limit temperament tempering it out gives the 5-limit version of [[Gamelismic clan#Miracle|miracle temperament]]. The Ampersand comma was named after [[Paul Rapoport]]'s cat, Ampersand.</pre></div>
The '''ampersand comma''', or '''Ampersand's comma''', is the [[comma]] of '''34171875/33554432''' of size 31.567 [[cent]]s. It is the amount by which six [[16/15|classical diatonic semitones (16/15)]] fall short of the [[3/2|perfect fifth (3/2)]]; that is, (3/2)/(16/15)<sup>6</sup>, or the amount by which seven such intervals fall short of the [[8/5|classical minor sixth (8/5)]]. The [[5-limit]] temperament tempering it out gives the eponymous '''ampersand temperament''', which is the 5-limit version of [[miracle|miracle temperament]]. See [[Syntonic–31 equivalence continuum #Ampersand]] for technical data. The ampersand comma was named after [[Paul Rapoport]]'s cat, Ampersand.
<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;ampersand&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The ampersand, or Ampersand's &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;, is the interval of 34171875/33554432 (&lt;a class="wiki_link" href="/monzo"&gt;monzo&lt;/a&gt;: |-25 7 6&amp;gt;), of size 31.567 cents. It is the amount by which six &lt;a class="wiki_link" href="/16_15"&gt;diatonic semitones&lt;/a&gt; fall short of a fifth; that is, (3/2)/(16/15)^6. The 5-limit temperament tempering it out gives the 5-limit version of &lt;a class="wiki_link" href="/Gamelismic%20clan#Miracle"&gt;miracle temperament&lt;/a&gt;. The Ampersand comma was named after &lt;a class="wiki_link" href="/Paul%20Rapoport"&gt;Paul Rapoport&lt;/a&gt;'s cat, Ampersand.&lt;/body&gt;&lt;/html&gt;</pre></div>
[[Category:Miracle]]
[[Category:Commas named after individuals]]

Latest revision as of 13:41, 6 January 2025

Interval information
Ratio 34171875/33554432
Factorization 2-25 × 37 × 56
Monzo [-25 7 6
Size in cents 31.56729¢
Name ampersand comma
Color name LLy6-3, Lala-tribiyo comma
FJS name [math]\displaystyle{ \text{dddd}{-3}^{5,5,5,5,5,5} }[/math]
Special properties reduced,
reduced harmonic
Tenney norm (log2 nd) 50.0263
Weil norm (log2 max(n, d)) 50.0526
Wilson norm (sopfr(nd)) 101
Comma size medium
Open this interval in xen-calc

The ampersand comma, or Ampersand's comma, is the comma of 34171875/33554432 of size 31.567 cents. It is the amount by which six classical diatonic semitones (16/15) fall short of the perfect fifth (3/2); that is, (3/2)/(16/15)6, or the amount by which seven such intervals fall short of the classical minor sixth (8/5). The 5-limit temperament tempering it out gives the eponymous ampersand temperament, which is the 5-limit version of miracle temperament. See Syntonic–31 equivalence continuum #Ampersand for technical data. The ampersand comma was named after Paul Rapoport's cat, Ampersand.