Families of scales: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A '''family of scales''' is a collection of scales, finite or infinite, generated according to a regular and exactly specified method.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-12-25 10:08:33 UTC</tt>.<br>
: The original revision id was <tt>479359644</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">By a //family of scales// is meant a certain set of scales, finite or infinite, generated according to a regular and exactly specified method. Examples of scale families are [[equal temperaments]], [[MOSScales|MOS]], and [[Fokker blocks|Fokker blocks]]. Below are some scale families.


===[[Fokker blocks]]===
== List of scale families ==
===[[Euler genera]]===
* [[Equal-step tuning]]s (including [[EDO]]s)
==[[Catesian scales]]==
* [[Moment of symmetry]] (MOS) scales
===[[Diamonds]]===
* [[Generator-offset]] (GO) scales
===[[Scale products and scale powers]]===
* [[Fokker block]]s
===[[Combination product sets]]===
* [[Euler-Fokker genus|Euler-Fokker genera]]
===[[Dwarves]]===
* [[Cartesian scale]]s
===[[Marvelous dwarves]]===
* [[Tonality diamond]]s
===[[Especially tempered dwarves]]===
* [[Breed diamonds]]
===[[Elves]]===
* [[Diaconv scales]]
===[[Hobbits]]===
* [[Scale products and scale powers]]
===[[Clippers]]===
* [[Combination product set]]s
===[[Maximal harmony epimorphic scales]]===
* [[Dwarves]]
===[[Lesfip scales]]===
* [[Marvelous dwarves]]
===[[Highschool scales]]===
* [[Especially tempered dwarves]]
===[[Crystal balls]]===
* [[Elves]]
===[[Chord cubes]]===
* [[Hobbits]]
===[[Breed diamonds]]===
* [[Clippers]]
===[[Essentialy tempered scales]]===
* [[Maximal harmony epimorphic scales]]
===[[Diaconv scales]]===
* [[Lesfip scales]]
===[[Yantras]]===
* [[Highschool scales]]
===[[Overtone scales]]===</pre></div>
* [[Crystal balls]]
<h4>Original HTML content:</h4>
* [[Chord cubes]]
<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;Families of scales&lt;/title&gt;&lt;/head&gt;&lt;body&gt;By a &lt;em&gt;family of scales&lt;/em&gt; is meant a certain set of scales, finite or infinite, generated according to a regular and exactly specified method. Examples of scale families are &lt;a class="wiki_link" href="/equal%20temperaments"&gt;equal temperaments&lt;/a&gt;, &lt;a class="wiki_link" href="/MOSScales"&gt;MOS&lt;/a&gt;, and &lt;a class="wiki_link" href="/Fokker%20blocks"&gt;Fokker blocks&lt;/a&gt;. Below are some scale families.&lt;br /&gt;
* [[List of essentially tempered scales|Essentially tempered scales]]
&lt;br /&gt;
* [[Yantras]]
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--Fokker blocks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&lt;a class="wiki_link" href="/Fokker%20blocks"&gt;Fokker blocks&lt;/a&gt;&lt;/h3&gt;
* [[Overtone scales]]
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--Euler genera"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;&lt;a class="wiki_link" href="/Euler%20genera"&gt;Euler genera&lt;/a&gt;&lt;/h3&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Catesian scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;a class="wiki_link" href="/Catesian%20scales"&gt;Catesian scales&lt;/a&gt;&lt;/h2&gt;
{{todo|inline=1|complete list|improve layout|comment=Maybe turn this list into a glossary with a short description below each scale family?}}
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Catesian scales-Diamonds"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;a class="wiki_link" href="/Diamonds"&gt;Diamonds&lt;/a&gt;&lt;/h3&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Catesian scales-Scale products and scale powers"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;&lt;a class="wiki_link" href="/Scale%20products%20and%20scale%20powers"&gt;Scale products and scale powers&lt;/a&gt;&lt;/h3&gt;
[[Category:Scales by family| ]] <!-- main article -->
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-Catesian scales-Combination product sets"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;&lt;a class="wiki_link" href="/Combination%20product%20sets"&gt;Combination product sets&lt;/a&gt;&lt;/h3&gt;
[[Category:Lists of scales]]
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-Catesian scales-Dwarves"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;&lt;a class="wiki_link" href="/Dwarves"&gt;Dwarves&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-Catesian scales-Marvelous dwarves"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;&lt;a class="wiki_link" href="/Marvelous%20dwarves"&gt;Marvelous dwarves&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x-Catesian scales-Especially tempered dwarves"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;&lt;a class="wiki_link" href="/Especially%20tempered%20dwarves"&gt;Especially tempered dwarves&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="x-Catesian scales-Elves"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;&lt;a class="wiki_link" href="/Elves"&gt;Elves&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc10"&gt;&lt;a name="x-Catesian scales-Hobbits"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;&lt;a class="wiki_link" href="/Hobbits"&gt;Hobbits&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc11"&gt;&lt;a name="x-Catesian scales-Clippers"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;&lt;a class="wiki_link" href="/Clippers"&gt;Clippers&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc12"&gt;&lt;a name="x-Catesian scales-Maximal harmony epimorphic scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;&lt;a class="wiki_link" href="/Maximal%20harmony%20epimorphic%20scales"&gt;Maximal harmony epimorphic scales&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc13"&gt;&lt;a name="x-Catesian scales-Lesfip scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;&lt;a class="wiki_link" href="/Lesfip%20scales"&gt;Lesfip scales&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc14"&gt;&lt;a name="x-Catesian scales-Highschool scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;&lt;a class="wiki_link" href="/Highschool%20scales"&gt;Highschool scales&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc15"&gt;&lt;a name="x-Catesian scales-Crystal balls"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;&lt;a class="wiki_link" href="/Crystal%20balls"&gt;Crystal balls&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc16"&gt;&lt;a name="x-Catesian scales-Chord cubes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;&lt;a class="wiki_link" href="/Chord%20cubes"&gt;Chord cubes&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc17"&gt;&lt;a name="x-Catesian scales-Breed diamonds"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;&lt;a class="wiki_link" href="/Breed%20diamonds"&gt;Breed diamonds&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc18"&gt;&lt;a name="x-Catesian scales-Essentialy tempered scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;&lt;a class="wiki_link" href="/Essentialy%20tempered%20scales"&gt;Essentialy tempered scales&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc19"&gt;&lt;a name="x-Catesian scales-Diaconv scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;&lt;a class="wiki_link" href="/Diaconv%20scales"&gt;Diaconv scales&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc20"&gt;&lt;a name="x-Catesian scales-Yantras"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;&lt;a class="wiki_link" href="/Yantras"&gt;Yantras&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc21"&gt;&lt;a name="x-Catesian scales-Overtone scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;&lt;a class="wiki_link" href="/Overtone%20scales"&gt;Overtone scales&lt;/a&gt;&lt;/h3&gt;
&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 20:17, 27 July 2026

A family of scales is a collection of scales, finite or infinite, generated according to a regular and exactly specified method.

List of scale families

Todo: complete list, improve layout

Maybe turn this list into a glossary with a short description below each scale family?

Retrieved from "https://en.xen.wiki/index.php?title=Families_of_scales&oldid=234744"