Linus: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
'''Linus''', also known as '''winwood''', is the 13-limit rank-3 temperament [[tempering out]] the [[valerisma]] 137858491849/137438953472 ({{monzo| -37 0 0 0 0 10 }}), the linus or higherlovesma 578509309952/576650390625 ({{monzo| 11 -10 -10 10 }}), and the rollwithitsma 39135393/39062500 ({{monzo| -2 5 -10 0 5 }}). As a consequence of the latter two, it also tempers out the kalisma ([[9801/9800]]).
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2016-05-19 02:12:48 UTC</tt>.<br>
: The original revision id was <tt>583535523</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>
<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 name **winwood** is proposed for the rank three 13-limit temperament tempering out the valerisma 137858491849/137438953472 (13^10 * 2^-37), the higherlovesma 578509309952/576650390625 (7^10 * 2^9 * 5^-10 * 3^-10), and the rollwithitsma 39135393/39062500 (11^5 * 3^5 * 5^-10 * 2^-2). As a consequence of the latter two, it also tempers out the kalisma (9801/9800).


Winwood has a period of 1/10 of an octave, and so it is named by analogy with blackwood and whitewood (and is also a tribute to Steve Winwood, [[http://www.keyboardmag.com/lessons/1251/synth-soloing-in-the-style-of-steve-winwood/50240|whose signature sound]] involves the use of very narrow pulse waves. This particular type of waveform amplifies the higher harmonics a lot and might make it easier to hear consonances involving them, making it a promising option for microtonal work). Unlike blackwood and whitewood, winwood's accuracy is quite high owing to the small size of the commas it tempers out.
Winwood has a [[period]] of 1/10 of an [[octave]], and so it is named by analogy with blackwood and whitewood (and is also a tribute to Steve Winwood, [http://www.keyboardmag.com/lessons/1251/synth-soloing-in-the-style-of-steve-winwood/50240 whose signature sound] involves the use of very narrow pulse waves. This particular type of waveform amplifies the higher harmonics a lot and might make it easier to hear consonances involving them, making it a promising option for microtonal work). Unlike blackwood and whitewood, winwood's accuracy is quite high owing to the small size of the commas it tempers out.


Tempering out the valerisma means that 16:13 is represented by exactly 360 cents, tempering out the higherlovesma means that 15:14 is represented by exactly 120 cents, and tempering out the rollwithitsma means that 33:25 is represented by exactly 480 cents. Thus these intervals form circles of 10, 10, and 5, respectively. Because the kalisma is also tempered out, 99:70 and its inversion are both represented by the 600 cent tritone.
Tempering out the valerisma means that [[16/13]] is represented by exactly 360 cents, tempering out the higherlovesma means that [[15/14]] is represented by exactly 120 cents, and tempering out the rollwithitsma means that [[33/25]] is represented by exactly 480 cents. Thus these intervals form circles of 10, 10, and 5, respectively. Because the kalisma is also tempered out, [[99/70]] and its inversion are both represented by the 600 cent tritone.


Good tunings for winwood include [[80edo]], [[130edo]], and [[270edo]]; there may be others.</pre></div>
Good tunings for winwood include [[80edo]], [[130edo]], and [[270edo]].
<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;Winwood&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The name &lt;strong&gt;winwood&lt;/strong&gt; is proposed for the rank three 13-limit temperament tempering out the valerisma 137858491849/137438953472 (13^10 * 2^-37), the higherlovesma 578509309952/576650390625 (7^10 * 2^9 * 5^-10 * 3^-10), and the rollwithitsma 39135393/39062500 (11^5 * 3^5 * 5^-10 * 2^-2). As a consequence of the latter two, it also tempers out the kalisma (9801/9800).&lt;br /&gt;
See [[Kalismic temperaments #Linus]] for the temperament data.
&lt;br /&gt;
 
Winwood has a period of 1/10 of an octave, and so it is named by analogy with blackwood and whitewood (and is also a tribute to Steve Winwood, &lt;a class="wiki_link_ext" href="http://www.keyboardmag.com/lessons/1251/synth-soloing-in-the-style-of-steve-winwood/50240" rel="nofollow"&gt;whose signature sound&lt;/a&gt; involves the use of very narrow pulse waves. This particular type of waveform amplifies the higher harmonics a lot and might make it easier to hear consonances involving them, making it a promising option for microtonal work). Unlike blackwood and whitewood, winwood's accuracy is quite high owing to the small size of the commas it tempers out.&lt;br /&gt;
[[Category:Linus| ]] <!-- main article -->
&lt;br /&gt;
[[Category:Rank-3 temperaments]]
Tempering out the valerisma means that 16:13 is represented by exactly 360 cents, tempering out the higherlovesma means that 15:14 is represented by exactly 120 cents, and tempering out the rollwithitsma means that 33:25 is represented by exactly 480 cents. Thus these intervals form circles of 10, 10, and 5, respectively. Because the kalisma is also tempered out, 99:70 and its inversion are both represented by the 600 cent tritone.&lt;br /&gt;
[[Category:Microtemperaments]]
&lt;br /&gt;
[[Category:Kalismic temperaments]]
Good tunings for winwood include &lt;a class="wiki_link" href="/80edo"&gt;80edo&lt;/a&gt;, &lt;a class="wiki_link" href="/130edo"&gt;130edo&lt;/a&gt;, and &lt;a class="wiki_link" href="/270edo"&gt;270edo&lt;/a&gt;; there may be others.&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 13:44, 20 April 2026

Linus, also known as winwood, is the 13-limit rank-3 temperament tempering out the valerisma 137858491849/137438953472 ([-37 0 0 0 0 10), the linus or higherlovesma 578509309952/576650390625 ([11 -10 -10 10), and the rollwithitsma 39135393/39062500 ([-2 5 -10 0 5). As a consequence of the latter two, it also tempers out the kalisma (9801/9800).

Winwood has a period of 1/10 of an octave, and so it is named by analogy with blackwood and whitewood (and is also a tribute to Steve Winwood, whose signature sound involves the use of very narrow pulse waves. This particular type of waveform amplifies the higher harmonics a lot and might make it easier to hear consonances involving them, making it a promising option for microtonal work). Unlike blackwood and whitewood, winwood's accuracy is quite high owing to the small size of the commas it tempers out.

Tempering out the valerisma means that 16/13 is represented by exactly 360 cents, tempering out the higherlovesma means that 15/14 is represented by exactly 120 cents, and tempering out the rollwithitsma means that 33/25 is represented by exactly 480 cents. Thus these intervals form circles of 10, 10, and 5, respectively. Because the kalisma is also tempered out, 99/70 and its inversion are both represented by the 600 cent tritone.

Good tunings for winwood include 80edo, 130edo, and 270edo.

See Kalismic temperaments #Linus for the temperament data.