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Sqrtphi: Difference between revisions

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**Imported revision 271564664 - Original comment: **
 
m Text replacement - "Category:Mirkwai clan" to "Category:Canopic clan"
 
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The '''sqrtphi''' is a [[regular temperament|temperament]] for the 7-, 11-, 13-, 17-, and 19-limit. It is a member of [[kleismic family]], [[mirkwai clan]] and [[wizmic microtemperaments|wizmic temperaments]]. The name ''sqrtphi'' stands for square root of phi, which means the positive square root of the [[golden ratio]] <math>(\sqrt{\varphi} = \sqrt{\frac{1+\sqrt{5}}{2}})</math> as a frequency ratio.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-11-03 12:49:01 UTC</tt>.<br>
See [[Kleismic family #Sqrtphi]] for technical data.
: The original revision id was <tt>271564664</tt>.<br>
 
: The revision comment was: <tt></tt><br>
== Scales ==
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
=== Scala files ===
<h4>Original Wikitext content:</h4>
* [[Sqrtphi17]]
<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">See [[Kleismic family#Sqrtphi]].</pre></div>
* [[Sqrtphi23]]
<h4>Original HTML content:</h4>
* [[Sqrtphi49]]
<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;Sqrtphi&lt;/title&gt;&lt;/head&gt;&lt;body&gt;See &lt;a class="wiki_link" href="/Kleismic%20family#Sqrtphi"&gt;Kleismic family&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
 
== Tunings ==
=== Tuning spectrum ===
{| class="wikitable center-all left-3"
|-
! [[Eigenmonzo|Eigenmonzo<br>(unchanged-interval]])
! Generator (¢)
! Comments
|-
| 26/21
| 415.12662
|
|-
| 17/13
| 416.10694
|
|-
| 18/13
| 416.33823
|
|-
| 15/11
| 416.44058
|
|-
| 13/11
| 416.47711
|
|-
| 18/17
| 416.49243
|
|-
| 15/14
| 416.50336
|
|-
| 14/13
| 416.50932
|
|-
| 15/13
| 416.51607
|
|-
| 19/16
| 416.52850
|
|-
| 22/17
| 416.53195
|
|-
| 13/12
| 416.53568
|
|-
| 20/19
| 416.53952
|
|-
| 11/9
| 416.54324
|
|-
| (φ)
| 416.54515
| square root of phi
|-
| 5/4
| 416.54745
|
|-
| 26/19
| 416.55665
|
|-
| 16/13
| 416.56389
|
|-
| 19/15
| 416.56499
|
|-
| 17/14
| 416.56680
|
|-
| 22/21
| 416.57024
|
|-
| 13/10
| 416.57302
| 13, 15, 17, 19 and 21-odd-limit minimax
|-
| 24/19
| 416.57413
|
|-
| 16/15
| 416.57693
|
|-
| 19/17
| 416.57807
|
|-
| 24/17
| 416.58332
|
|-
| 19/14
| 416.58370
|
|-
| 19/18
| 416.58465
|
|-
| 9/7
| 416.58709
|
|-
| 21/19
| 416.58991
|
|-
| 17/16
| 416.59158
|
|-
| 22/19
| 416.59991
|
|-
| 4/3
| 416.60150
| 5-odd-limit minimax
|-
| 21/16
| 416.60616
|
|-
| 8/7
| 416.60984
| 7 and 9-odd-limit minimax
|-
| 20/17
| 416.61850
|
|-
| 11/8
| 416.63287
| 11-odd-limit minimax
|-
| 10/9
| 416.64011
|
|-
| 21/20
| 416.64030
|
|-
| 7/6
| 416.64114
|
|-
| 17/15
| 416.66485
|
|-
| 7/5
| 416.72983
|
|-
| 12/11
| 416.73745
|
|-
| 11/10
| 416.78541
|
|-
| 6/5
| 416.87174
|
|-
| 21/17
| 417.08725
|
|-
| 14/11
| 417.50796
|
|}
 
== Music ==
; [[Vito Sicurella]]
* [https://web.archive.org/web/20201127014110/http://micro.soonlabel.com/gene_ward_smith/Others/Sicurella/A%20Fight%20For%20Phi.mp3 ''A Fight for Phi'']
 
; [[Chris Vaisvil]]
* [https://web.archive.org/web/20201127012408/http://micro.soonlabel.com/sqrt_phi/daily20111123a-sqrt-phi-17.mp3 ''Prelude for Piano in Square root of Phi Tuning'']
 
[[Category:Sqrtphi| ]] <!-- main article -->
[[Category:Rank-2 temperaments]]
[[Category:Kleismic family]]
[[Category:Canopic clan]]
[[Category:Wizmic microtemperaments]]
[[Category:Golden ratio]]
Retrieved from "https://en.xen.wiki/w/Sqrtphi"