Families of scales: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A ''family of scales'' is a certain set of scales, finite or infinite, generated according to a regular and exactly specified method. Examples of scale families are [[EDO]]<nowiki/>s, [https://en.xen.wiki/w/Equal-step_tuning equal-step tunings], [[MOSScales|MOS]], and [[Fokker blocks]]. Below are some further scale families.
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>2011-01-10 14:46:16 UTC</tt>.<br>
===[[Fokker block]]s===
: The original revision id was <tt>192236196</tt>.<br>
 
: The revision comment was: <tt></tt><br>
===[[Euler-Fokker genus|Euler-Fokker genera]]===
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>
===[[Cartesian scale]]s===
<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.
 
===[[Tonality diamond]]s===
 
===[[Breed diamonds]]===
 
===[[Diaconv scales]]===
 
===[[Scale products and scale powers]]===


===[[Fokker blocks]]===
===[[Euler genera]]===
===[[Diamonds]]===
===[[Combination product sets]]===
===[[Combination product sets]]===
===[[Dwarves]]===
===[[Dwarves]]===
===[[Marvelous dwarves]]===
===[[Marvelous dwarves]]===
===[[Especially tempered dwarves]]===
===[[Elves]]===
===[[Hobbits]]===
===[[Hobbits]]===
===[[Clippers]]===
===[[Maximal harmony epimorphic scales]]===
===[[Lesfip scales]]===
===[[Lesfip scales]]===
===[[Highschool scales]]===
===[[Highschool scales]]===
===[[Crystal balls]]===
===[[Crystal balls]]===
===[[Chord cubes]]===
===[[Chord cubes]]===
===[[Breed diamonds]]===
 
===[[List of essentially tempered scales|Essentially tempered scales]]===
 
===[[Yantras]]===
===[[Yantras]]===
===[[Overtone scales]]===</pre></div>
 
<h4>Original HTML content:</h4>
===[[Overtone scales]]===
<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;
 
&lt;br /&gt;
 
&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;
{{todo|inline=1|rework|review heading structure|improve layout|improve synopsis}}
&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;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x--Diamonds"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;a class="wiki_link" href="/Diamonds"&gt;Diamonds&lt;/a&gt;&lt;/h3&gt;
[[Category:Scales by family| ]] <!-- main article -->
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x--Combination product sets"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&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:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x--Dwarves"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;&lt;a class="wiki_link" href="/Dwarves"&gt;Dwarves&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x--Marvelous dwarves"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;&lt;a class="wiki_link" href="/Marvelous%20dwarves"&gt;Marvelous dwarves&lt;/a&gt;&lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x--Hobbits"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;&lt;a class="wiki_link" href="/Hobbits"&gt;Hobbits&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--Lesfip scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;&lt;a class="wiki_link" href="/Lesfip%20scales"&gt;Lesfip scales&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--Highschool scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;&lt;a class="wiki_link" href="/Highschool%20scales"&gt;Highschool scales&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--Crystal balls"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;&lt;a class="wiki_link" href="/Crystal%20balls"&gt;Crystal balls&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--Chord cubes"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;&lt;a class="wiki_link" href="/Chord%20cubes"&gt;Chord cubes&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--Breed diamonds"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;&lt;a class="wiki_link" href="/Breed%20diamonds"&gt;Breed diamonds&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--Yantras"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;&lt;a class="wiki_link" href="/Yantras"&gt;Yantras&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--Overtone scales"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&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 02:28, 2 April 2025

A family of scales is a certain set of scales, finite or infinite, generated according to a regular and exactly specified method. Examples of scale families are EDOs, equal-step tunings, MOS, and Fokker blocks. Below are some further scale families.

Fokker blocks

Euler-Fokker genera

Cartesian scales

Tonality diamonds

Breed diamonds

Diaconv scales

Scale products and scale powers

Combination product sets

Dwarves

Marvelous dwarves

Especially tempered dwarves

Elves

Hobbits

Clippers

Maximal harmony epimorphic scales

Lesfip scales

Highschool scales

Crystal balls

Chord cubes

Essentially tempered scales

Yantras

Overtone scales

Todo: rework , review heading structure, improve layout, improve synopsis