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Carlos Beta: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{Wikipedia|Beta scale}}
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
'''Carlos Beta''' is a non-octave [[equal temperament]] invented by [[Wendy Carlos]], with step size about 63.833{{cent}}, or almost exactly every fifth step of [[94edo]]. In this temperament, the interval of 11 steps approximates [[3/2]], that of 6 steps approximates [[5/4]], and that of 5 steps approximates [[6/5]].
: This revision was by author [[User:OmegaNine|OmegaNine]] and made on <tt>2012-10-09 22:07:08 UTC</tt>.<br>
: The original revision id was <tt>371684268</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">=Carlos Beta (equal division of the [[perfect fifth]] into 11 equal parts)=
= =
==Theory==
Beta is a non-octave, equally tempered scale discovered by [[Wendy Carlos]]. It divides the [[just perfect fifth]] into 11 parts. Each interval is 63.8 [[cent]]s in size. The [[sycamore family]] of temperaments is related to Beta; betic and [[5-limit]] sycamore in particular.


Lookalikes: [[19edo]]
== Theory ==
Carlos provided the tuning of 63.8{{cent}}<ref>Wendy Carlos, "Tuning: At the Crossroads", ''Computer Music Journal'', vol. 11 no. 1, 1987, pp. 29-43</ref><ref>Wendy Carlos, ''Three Asymmetric Divisions of the Octave''. </ref>. Based on her work, Dave Benson optimized the temperament for 3/2, 5/4, and 6/5, such that the tuning divides the octave in


==Intervals==
<math>\displaystyle
\frac{11^2 + 6^2 + 5^2}{11\log_2(3/2) + 6\log_2(5/4) + 5\log_2(6/5)} ≃ 18.799074
</math>


|| Degrees || Cents ~ Cents [[octave reduced]] ||
equal steps and the fifth in 10.996753 equal steps of 63.832933{{cent}} each<ref>Dave Benson, ''Music: A Mathematical Offering'', pp. 232-233.</ref>. It is thus very close to the [[EDF|equal division of the just perfect fifth]] into eleven parts of 63.8141{{cent}} each ([[11edf|11ed3/2]]), corresponding to 18.8046[[edo]].
|| 0 || 0 ||
|| 1 || 64 ||
|| 2 || 128 ||
|| 3 || 191 ||
|| 4 || 255 ||
|| 5 || 319 ||
|| 6 || 383 ||
|| 7 || 447 ||
|| 8 || 511 ||
|| 9 || 574 ||
|| 10 || 638 ||
|| 11 || 702 ||
|| 12 || 766 ||
|| 13 || 830 ||
|| 14 || 893 ||
|| 15 || 957 ||
|| 16 || 1021 ||
|| 17 || 1085 ||
|| 18 || 1149 ||
|| 19 || 1212 ~ 12 ||
|| 20 || 1276 ~ 76 ||
|| 21 || 1340 ~ 140 ||
|| 22 || 1404 ~ 204 ||
|| 23 || 1468 ~ 268 ||
|| 24 || 1532 ~ 332 ||
|| 25 || 1595 ~ 395 ||
|| 26 || 1659 ~ 459 ||
|| 27 || 1723 ~ 523 ||
|| 28 || 1787 ~ 587 ||
|| 29 || 1851 ~ 651 ||
|| 30 || 1914 ~ 714 ||
|| 31 || 1978 ~ 778 ||
|| 32 || 2042 ~ 842 ||
|| 33 || 2106 ~ 906 ||
|| 34 || 2170 ~ 970 ||
|| 35 || 2233 ~ 1033 ||
|| 36 || 2297 ~ 1097 ||


[[http://www.wendycarlos.com/resources/pitch.html|Article by Wendy Carlos]] [[http://www.webcitation.org/5xelDVVBj|Permalink]]
Carlos Beta is related to the [[sycamore family]] of temperaments – betic and [[5-limit]] sycamore in particular.


[[http://www.seraph.it/dep/det/DawnOfBeta.mp3|The Dawn Of Beta]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/ca97598d4d95438f8cf18862e7f13222-87.html|blog entry]])
Lookalikes: [[19edo]], [[11edf]], [[30edt]], every 5th step of [[94edo]], every 4th step of [[75edo]]
[[http://www.seraph.it/dep/det/LonelyBetaWoman.mp3|Lonely Beta Woman]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/0915d7768cbd1948d46bd63e9060ef12-88.html|blog entry]])
[[http://www.seraph.it/dep/det/OverTheBetaRainbow.mp3|Over The Beta Rainbow]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/c498a163495a549dbc2711691061db11-92.html|blog entry]])
[[http://www.seraph.it/dep/det/Tribalism2.mp3|Tribalism #2]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/e516a6726f78b7c6232b0869222507ff-95.html|blog entry]])
[[http://youtu.be/6yBY2AvsUOA3|Beta Easter(n) (video)]] &lt;span style="border: medium none; padding: 0px; position: relative; text-decoration: none; z-index: 9999;"&gt; &lt;/span&gt; by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/9d774615381a06e228b7de11a9394562-97.html|blog entry]])
[[http://www.seraph.it/dep/det/tiBETAnDreams.mp3|tiBETAn Dreams]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/9029519d60cf978db21549a608ef4ea3-99.html|blog]]) ([[http://www.seraph.it/blog_files/7f1eb6f7799c4f90d796396cbade30ce-98.html|entry]])
[[http://www.seraph.it/dep/det/Angela.mp3|Angela B.]] by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/2edec68ea23551591ff1c0d897e1f8fa-101.html|blog entry]])
[[http://www.youtube.com/watch?v=mghWWIUjh9o|UGDoLA (video)]] &lt;span style="border: medium none; padding: 0px; position: relative; text-decoration: none; z-index: 9999;"&gt; &lt;/span&gt; by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/6d6dcd64d5d817366c5608edfbed16b6-102.html|blog entry]])
[[http://youtu.be/v4F38G4XKLc|Austrian Fantasy (video)]] &lt;span style="border: medium none; padding: 0px; position: relative; text-decoration: none; z-index: 9999;"&gt; &lt;/span&gt; by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/49d276aa03bebbf3a0c831f0bc3bdea5-107.html|blog entry]])


[[http://soundcloud.com/omega9/way-without-time-ost|Way Without Time OST]] by Omega9
== Intervals ==
[[http://www.youtube.com/watch?v=eWgb-ZbgvJI|Tionmifarosalmimemkelkfoje]] &lt;span style="border: medium none; padding: 0px; position: relative; text-decoration: none; z-index: 9999;"&gt; &lt;/span&gt; by Omega9
[[http://www.youtube.com/watch?v=-fwA6egaqc4|Cordas]] &lt;span style="border: medium none; padding: 0px; position: relative; text-decoration: none; z-index: 9999;"&gt; &lt;/span&gt; by Omega9</pre></div>
<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;Carlos Beta&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Carlos Beta (equal division of the perfect fifth into 11 equal parts)"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Carlos Beta (equal division of the &lt;a class="wiki_link" href="/perfect%20fifth"&gt;perfect fifth&lt;/a&gt; into 11 equal parts)&lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt; &lt;/h1&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Carlos Beta (equal division of the perfect fifth into 11 equal parts)-Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Theory&lt;/h2&gt;
Beta is a non-octave, equally tempered scale discovered by &lt;a class="wiki_link" href="/Wendy%20Carlos"&gt;Wendy Carlos&lt;/a&gt;. It divides the &lt;a class="wiki_link" href="/just%20perfect%20fifth"&gt;just perfect fifth&lt;/a&gt; into 11 parts. Each interval is 63.8 &lt;a class="wiki_link" href="/cent"&gt;cent&lt;/a&gt;s in size. The &lt;a class="wiki_link" href="/sycamore%20family"&gt;sycamore family&lt;/a&gt; of temperaments is related to Beta; betic and &lt;a class="wiki_link" href="/5-limit"&gt;5-limit&lt;/a&gt; sycamore in particular.&lt;br /&gt;
&lt;br /&gt;
Lookalikes: &lt;a class="wiki_link" href="/19edo"&gt;19edo&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="Carlos Beta (equal division of the perfect fifth into 11 equal parts)-Intervals"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Intervals&lt;/h2&gt;
&lt;br /&gt;


{| class="wikitable"
|-
! Degrees
! Cents ~ Cents [[octave reduced]]
! Approximate JI interval ~ octave reduced
|-
| 0
| 0
|
|-
| | 1
| | 63.832933
| |
|-
| | 2
| | 127.665865
| |
|-
| | 3
| | 191.498798
| |
|-
| | 4
| | 255.331730
| |
|-
| | 5
| | 319.164663
| | [[6/5]]
|-
| | 6
| | 382.997595
| | [[5/4]]
|-
| | 7
| | 446.830528
| |
|-
| | 8
| | 510.663461
| |
|-
| | 9
| | 574.496393
| |
|-
| | 10
| | 638.329326
|-
| | 11
| | 702.162258
| | [[3/2]]
|-
| | 12
| | 765.995191
| |
|-
| | 13
| | 829.828123
| | [[13/8]]-ish
|-
| | 14
| | 893.661056
| |
|-
| | 15
| | 957.493989
| |
|-
| | 16
| | 1021.326921
| |
|-
| | 17
| | 1085.159854
| | [[15/8]]
|-
| | 18
| | 1148.992786
| |
|-
| | 19
| | 1212.825719 ~ 12.825719
| | [[2/1]]-ish
|-
| | 20
| | 1276.658651 ~ 76.658651
| |
|-
| | 21
| | 1340.491584 ~ 140.491584
| |
|-
| | 22
| | 1404.324517 ~ 204.324517
| | [[9/4]]~[[9/8]]
|-
| | 23
| | 1468.157449 ~ 268.157449
| | better [[7/6]]
|-
| | 24
| | 1531.990382 ~ 331.990382
| |
|-
| | 25
| | 1595.823314 ~ 395.823314
|
|-
| | 26
| | 1659.656247 ~ 459.656247
|
|-
| | 27
| | 1723.489179 ~ 523.489179
|-
| | 28
| | 1787.322112 ~ 587.322112
|
|-
| | 29
| | 1851.155045 ~ 651.155045
|
|-
| | 30
| | 1914.987977 ~ 714.987977
|
|-
| | 31
| | 1978.820910 ~ 778.820910
|
|-
| | 32
| | 2042.653842 ~ 842.653842
| | [[13/4]] ~ [[13/8]] (better)
|-
| | 33
| | 2106.486775 ~ 906.486775
|
|-
| | 34
| | 2170.319707 ~ 970.319707
|
|-
| | 35
| | 2234.152640 ~ 1034.152640
|
|-
| | 36
| | 2297.985573 ~ 1097.985573
|
|}


&lt;table class="wiki_table"&gt;
== Music ==
    &lt;tr&gt;
{{Catrel| Carlos Beta tracks }}
        &lt;td&gt;Degrees&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Cents ~ Cents &lt;a class="wiki_link" href="/octave%20reduced"&gt;octave reduced&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;64&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;128&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;191&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;255&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;319&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;383&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;447&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;511&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;574&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;638&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;702&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;766&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;830&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;893&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;957&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1021&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1085&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1149&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1212 ~ 12&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1276 ~ 76&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1340 ~ 140&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1404 ~ 204&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1468 ~ 268&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1532 ~ 332&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1595 ~ 395&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1659 ~ 459&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1723 ~ 523&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1787 ~ 587&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1851 ~ 651&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1914 ~ 714&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1978 ~ 778&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2042 ~ 842&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2106 ~ 906&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2170 ~ 970&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2233 ~ 1033&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2297 ~ 1097&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;


&lt;br /&gt;
; [[Bryan Deister]]
&lt;a class="wiki_link_ext" href="http://www.wendycarlos.com/resources/pitch.html" rel="nofollow"&gt;Article by Wendy Carlos&lt;/a&gt; &lt;a class="wiki_link_ext" href="http://www.webcitation.org/5xelDVVBj" rel="nofollow"&gt;Permalink&lt;/a&gt;&lt;br /&gt;
* [https://www.youtube.com/watch?v=8qydnXzkbgg ''Come''] (2022) – Carlos Beta version
&lt;br /&gt;
* [https://www.youtube.com/shorts/bqbwHuBJHJQ ''Microtonal Improvisation in Carlos Beta''] (2023)
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/DawnOfBeta.mp3" rel="nofollow"&gt;The Dawn Of Beta&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/ca97598d4d95438f8cf18862e7f13222-87.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
 
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/LonelyBetaWoman.mp3" rel="nofollow"&gt;Lonely Beta Woman&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/0915d7768cbd1948d46bd63e9060ef12-88.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
; [[Omega9|Omega9 & MÜÜR]]
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/OverTheBetaRainbow.mp3" rel="nofollow"&gt;Over The Beta Rainbow&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/c498a163495a549dbc2711691061db11-92.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
* ''Elirejo de tempo'' – [https://www.youtube.com/watch?v=qWXeoVCxL5k YouTube] | [https://blend.io/project/5e0459e6573b324b537f3682 Multitrack]
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/Tribalism2.mp3" rel="nofollow"&gt;Tribalism #2&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/e516a6726f78b7c6232b0869222507ff-95.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
* ''Cærulea'' – [https://www.youtube.com/watch?v=NBfW6LC-Vec YouTube] | [https://blend.io/project/5e0459e61a4f113326352b85 Multitrack]
&lt;a class="wiki_link_ext" href="http://youtu.be/6yBY2AvsUOA3" rel="nofollow"&gt;Beta Easter(n) (video)&lt;/a&gt; &lt;span style="border: medium none; padding: 0px; position: relative; text-decoration: none; z-index: 9999;"&gt; &lt;/span&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/9d774615381a06e228b7de11a9394562-97.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
* ''Tempo kaj Ĥrono'' – [https://www.youtube.com/watch?v=OfQwGcJjMAo YouTube] | [https://blend.io/project/5e045a48f24d7af73aa4edf4 Multitrack]
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/tiBETAnDreams.mp3" rel="nofollow"&gt;tiBETAn Dreams&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/9029519d60cf978db21549a608ef4ea3-99.html" rel="nofollow"&gt;blog&lt;/a&gt;) (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/7f1eb6f7799c4f90d796396cbade30ce-98.html" rel="nofollow"&gt;entry&lt;/a&gt;)&lt;br /&gt;
*''Tionmifarosalmimemkelkfoje'' (2012) – [https://web.archive.org/web/20201127015039/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Tionmifarosalmimemkelkfoje.mp3 play] | [https://www.youtube.com/watch?v=eWgb-ZbgvJI YouTube]
&lt;a class="wiki_link_ext" href="http://www.seraph.it/dep/det/Angela.mp3" rel="nofollow"&gt;Angela B.&lt;/a&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/2edec68ea23551591ff1c0d897e1f8fa-101.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
* ''Cordas'' (2012) – [https://web.archive.org/web/20201127015302/http://micro.soonlabel.com/gene_ward_smith/Others/Omega9/Omega9%20-%20Cordas%20(Carlos%20Beta).mp3 play] | [https://omega9.bandcamp.com/track/cordas-carlos-beta Bandcamp] | [https://www.youtube.com/watch?v=-fwA6egaqc4 YouTube] – Carlos Beta version
&lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=mghWWIUjh9o" rel="nofollow"&gt;UGDoLA (video)&lt;/a&gt; &lt;span style="border: medium none; padding: 0px; position: relative; text-decoration: none; z-index: 9999;"&gt; &lt;/span&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/6d6dcd64d5d817366c5608edfbed16b6-102.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
 
&lt;a class="wiki_link_ext" href="http://youtu.be/v4F38G4XKLc" rel="nofollow"&gt;Austrian Fantasy (video)&lt;/a&gt; &lt;span style="border: medium none; padding: 0px; position: relative; text-decoration: none; z-index: 9999;"&gt; &lt;/span&gt; by &lt;a class="wiki_link" href="/Carlo%20Serafini"&gt;Carlo Serafini&lt;/a&gt; (&lt;a class="wiki_link_ext" href="http://www.seraph.it/blog_files/49d276aa03bebbf3a0c831f0bc3bdea5-107.html" rel="nofollow"&gt;blog entry&lt;/a&gt;)&lt;br /&gt;
; [[Carlo Serafini]]
&lt;br /&gt;
* ''The Dawn Of Beta'' (2011) – [http://www.seraph.it/dep/det/DawnOfBeta.mp3 play] | [http://www.seraph.it/blog_files/ca97598d4d95438f8cf18862e7f13222-87.html blog]
&lt;a class="wiki_link_ext" href="http://soundcloud.com/omega9/way-without-time-ost" rel="nofollow"&gt;Way Without Time OST&lt;/a&gt; by Omega9&lt;br /&gt;
* ''Lonely Beta Woman'' (2011) – [http://www.seraph.it/dep/det/LonelyBetaWoman.mp3 play] | [http://www.seraph.it/blog_files/0915d7768cbd1948d46bd63e9060ef12-88.html blog]
&lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=eWgb-ZbgvJI" rel="nofollow"&gt;Tionmifarosalmimemkelkfoje&lt;/a&gt; &lt;span style="border: medium none; padding: 0px; position: relative; text-decoration: none; z-index: 9999;"&gt; &lt;/span&gt; by Omega9&lt;br /&gt;
* ''Over The Beta Rainbow'' (2011) – [http://www.seraph.it/dep/det/OverTheBetaRainbow.mp3 play] | [http://www.seraph.it/blog_files/c498a163495a549dbc2711691061db11-92.html blog]
&lt;a class="wiki_link_ext" href="http://www.youtube.com/watch?v=-fwA6egaqc4" rel="nofollow"&gt;Cordas&lt;/a&gt; &lt;span style="border: medium none; padding: 0px; position: relative; text-decoration: none; z-index: 9999;"&gt; &lt;/span&gt; by Omega9&lt;/body&gt;&lt;/html&gt;</pre></div>
* ''Tribalism #2'' (2011) – [http://www.seraph.it/dep/det/Tribalism2.mp3 play] | [http://www.seraph.it/blog_files/e516a6726f78b7c6232b0869222507ff-95.html blog]
* ''Beta Easter(n)'' (2011) – [http://www.seraph.it/blog_files/9d774615381a06e228b7de11a9394562-97.html blog] | [https://youtu.be/6yBY2AvsUOA3 YouTube]
* ''tiBETAn Dreams'' (2011) – [http://www.seraph.it/dep/det/tiBETAnDreams.mp3 play] | [http://www.seraph.it/blog_files/7f1eb6f7799c4f90d796396cbade30ce-98.html blog #1][http://www.seraph.it/blog_files/9029519d60cf978db21549a608ef4ea3-99.html blog #2]
* ''Angela B.'' (2011) – [http://www.seraph.it/dep/det/Angela.mp3 play] | [http://www.seraph.it/blog_files/2edec68ea23551591ff1c0d897e1f8fa-101.html blog]
* ''UGDoLA'' (2011) – [http://www.seraph.it/blog_files/6d6dcd64d5d817366c5608edfbed16b6-102.html blog] | [https://www.youtube.com/watch?v=mghWWIUjh9o YouTube]
* ''Austrian Fantasy'' (2011) – [http://www.seraph.it/blog_files/49d276aa03bebbf3a0c831f0bc3bdea5-107.html blog] | [https://youtu.be/v4F38G4XKLc YouTube]
 
; [[MagentaFlavouredMusic]]
* [https://youtu.be/1HkykxbKBHE ''Carlama'']
 
== See also ==
* [[Mason Green's New Common Practice Notation]]
* Carlos' equal scales
** [[Carlos Alpha]]
** [[Carlos Gamma]]
* [[Carlos harm|Carlos Harmonic]]
* [[Carlos super|Carlos Super Just]]
 
== References ==
<references/>
 
== External links ==
* [http://www.wendycarlos.com/resources/pitch.html Wendy Carlos Pitch article | ''Three Asymmetric Divisions of the Octave''] ([http://www.webcitation.org/5xelDVVBj Permalink])
 
[[Category:Wendy Carlos]]
[[Category:Nonoctave]]
[[Category:Equal-step tuning]]
[[Category:Listen]]
 
{{Todo| cleanup | expand }}
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