General theory: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
{{interwiki
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| en = General theory
: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2011-11-01 09:05:20 UTC</tt>.<br>
| de =
: The original revision id was <tt>270593570</tt>.<br>
| es = Teoría Básica
: The revision comment was: <tt></tt><br>
| ja = 一般理論
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>
Here are some links to some of the key ideas underlying tuning:
<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">Tuning theory can become heavily mathematical, and as such can be difficult to understand. Here are some links for the rest of us:


=Basics=  
== Basics ==
[[Chords]]
* Start here: [[Xen concepts for beginners]]
[[ScaleIndex|Scales]]
* [[Interval]]
[[Notation]]
* [[Ratio]]
** [[Ratio math]]
* [[Cent]]
* [[Chord]]
* [[Scale]]
* [[Mode]]
* [[Musical notation]]
* Terminology
** [[Glossary]]
** [[Acronyms]]


=Core Concepts=  
== Core concepts ==
[[Just intonation]]
* [[Just intonation]]
[[Regular Temperaments]]
* [[Harmonic series]]
[[Equal Temperaments]]
** [[Chord of nature]]
[[Periods and Generators]]
* [[Equal division of the octave]]
[[EDO]]
** [[Equal-step tuning]] ([[edt]], [[edf]], …)
[[EDT]]
** [[Well temperament]]
[[MOSScales|MOS Scales]]
* [[Regular temperaments]]
** [[Diatonic, chromatic, enharmonic, subchromatic]]
* [[MOS scale]]
** [[Periods and generators]]
* [[Hexany]]
* [[Delta-rational chord]]


=How it Works=  
== Online tools ==
[[Monzos]]
{{Main| List of music software #Browser-based }}
[[Vals]]
[[Mappings]]
[[Patent val]]
[[tempering out|Tempering Out]]


=Additional Stuff=
* [https://scaleworkshop.plainsound.org/ Scale Workshop] – scale-creation site by [[Lumi Pakkanen]]. Allows playing via QWERTY computer keyboard. Can also export .scl and .kbm files.
[[Modal UDP Notation]]
* [[Xenpaper]] – text-based microtonal sequencer, like a notepad. Write down musical ideas and share the link around.
[[Consonant class scale|Consonant Class Scale]]
* [https://www.yacavone.net/xen-calc/ xen-calc] – interval calculator that translates to/from ratios, cents, FJS and color notation, much more too.


=Advanced Theory=  
== Common scales ==
[[Mathematical Theory]]</pre></div>
* [[:Category: 5-tone scales]]
<h4>Original HTML content:</h4>
* [[:Category: 6-tone 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;General Theory&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Tuning theory can become heavily mathematical, and as such can be difficult to understand. Here are some links for the rest of us:&lt;br /&gt;
* [[:Category: 7-tone scales]]
&lt;br /&gt;
* [[:Category: 8-tone scales]]
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Basics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Basics&lt;/h1&gt;
* [[:Category: 9-tone scales]]
&lt;a class="wiki_link" href="/Chords"&gt;Chords&lt;/a&gt;&lt;br /&gt;
* [[:Category: 10-tone scales]]
&lt;a class="wiki_link" href="/ScaleIndex"&gt;Scales&lt;/a&gt;&lt;br /&gt;
* [[:Category: 11-tone scales]]
&lt;a class="wiki_link" href="/Notation"&gt;Notation&lt;/a&gt;&lt;br /&gt;
* [[:Category: 12-tone scales]]
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Core Concepts"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Core Concepts&lt;/h1&gt;
== Regular temperament theory (RTT) ==
&lt;a class="wiki_link" href="/Just%20intonation"&gt;Just intonation&lt;/a&gt;&lt;br /&gt;
* [[Monzo]]
&lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;Regular Temperaments&lt;/a&gt;&lt;br /&gt;
* [[Val]]
&lt;a class="wiki_link" href="/Equal%20Temperaments"&gt;Equal Temperaments&lt;/a&gt;&lt;br /&gt;
* [[Mapping]]
&lt;a class="wiki_link" href="/Periods%20and%20Generators"&gt;Periods and Generators&lt;/a&gt;&lt;br /&gt;
* [[Patent val]]
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;&lt;br /&gt;
* [[Tempering out]]
&lt;a class="wiki_link" href="/EDT"&gt;EDT&lt;/a&gt;&lt;br /&gt;
* [[Rank and codimension]]
&lt;a class="wiki_link" href="/MOSScales"&gt;MOS Scales&lt;/a&gt;&lt;br /&gt;
* [[Keenan's explanation of vals]]
&lt;br /&gt;
* [[Comma pump]]
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="How it Works"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;How it Works&lt;/h1&gt;
* [[Comma basis]]
&lt;a class="wiki_link" href="/Monzos"&gt;Monzos&lt;/a&gt;&lt;br /&gt;
* [[Saturation, torsion, and contorsion]]
&lt;a class="wiki_link" href="/Vals"&gt;Vals&lt;/a&gt;&lt;br /&gt;
* [[Dyadic chord]]
&lt;a class="wiki_link" href="/Mappings"&gt;Mappings&lt;/a&gt;&lt;br /&gt;
* [[Essential tempering comma]]
&lt;a class="wiki_link" href="/Patent%20val"&gt;Patent val&lt;/a&gt;&lt;br /&gt;
* [[Graham complexity]]
&lt;a class="wiki_link" href="/tempering%20out"&gt;Tempering Out&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Advanced theory ==
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Additional Stuff"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Additional Stuff&lt;/h1&gt;
{{Main| Mathematical theory }}
&lt;a class="wiki_link" href="/Modal%20UDP%20Notation"&gt;Modal UDP Notation&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/Consonant%20class%20scale"&gt;Consonant Class Scale&lt;/a&gt;&lt;br /&gt;
[[Category:Theory]]
&lt;br /&gt;
[[Category:Todo:review]]
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Advanced Theory"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Advanced Theory&lt;/h1&gt;
&lt;a class="wiki_link" href="/Mathematical%20Theory"&gt;Mathematical Theory&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 04:54, 2 December 2025

Here are some links to some of the key ideas underlying tuning:

Basics

Core concepts

Online tools

Main article: List of music software § Browser-based
  • Scale Workshop – scale-creation site by Lumi Pakkanen. Allows playing via QWERTY computer keyboard. Can also export .scl and .kbm files.
  • Xenpaper – text-based microtonal sequencer, like a notepad. Write down musical ideas and share the link around.
  • xen-calc – interval calculator that translates to/from ratios, cents, FJS and color notation, much more too.

Common scales

Regular temperament theory (RTT)

Advanced theory

Main article: Mathematical theory
Retrieved from "https://en.xen.wiki/index.php?title=General_theory&oldid=218410"