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>2011-09-16 10:32:31 UTC</tt>.<br>
| de =
: The original revision id was <tt>254744734</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:


[[EDO]]
== Basics ==
[[EDT]]
* Start here: [[Xen concepts for beginners]]
[[Just intonation]]
* [[Interval]]
[[Monzos]]
* [[Ratio]]
[[Patent val]]
** [[Ratio math]]
[[Regular Temperaments]]
* [[Cent]]
[[Vals]]
* [[Chord]]
&lt;range type="comment" id="7441"&gt;
* [[Scale]]
&lt;/range id="7441"&gt;</pre></div>
* [[Mode]]
<h4>Original HTML content:</h4>
* [[Musical notation]]
<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;
* Terminology
&lt;br /&gt;
** [[Glossary]]
&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;&lt;br /&gt;
** [[Acronyms]]
&lt;a class="wiki_link" href="/EDT"&gt;EDT&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/Just%20intonation"&gt;Just intonation&lt;/a&gt;&lt;br /&gt;
== Core concepts ==
&lt;a class="wiki_link" href="/Monzos"&gt;Monzos&lt;/a&gt;&lt;br /&gt;
* [[Just intonation]]
&lt;a class="wiki_link" href="/Patent%20val"&gt;Patent val&lt;/a&gt;&lt;br /&gt;
* [[Harmonic series]]
&lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;Regular Temperaments&lt;/a&gt;&lt;br /&gt;
** [[Chord of nature]]
&lt;a class="wiki_link" href="/Vals"&gt;Vals&lt;/a&gt;&lt;br /&gt;
* [[Equal division of the octave]]
&lt;a name="comment-7441-open" class="range"&gt;&lt;/a&gt;&lt;br /&gt;
** [[Equal-step tuning]] ([[edt]], [[edf]], …)
&lt;a name="comment-7441-close" class="range"&gt;&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
** [[Well temperament]]
* [[Regular temperaments]]
** [[Diatonic, chromatic, enharmonic, subchromatic]]
* [[MOS scale]]
** [[Periods and generators]]
* [[Hexany]]
* [[Delta-rational chord]]
 
== Online tools ==
{{Main| List of music software #Browser-based }}
 
* [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.
* [[Xenpaper]] – text-based microtonal sequencer, like a notepad. Write down musical ideas and share the link around.
* [https://www.yacavone.net/xen-calc/ xen-calc] – interval calculator that translates to/from ratios, cents, FJS and color notation, much more too.
 
== Common scales ==
* [[:Category: 5-tone scales]]
* [[:Category: 6-tone scales]]
* [[:Category: 7-tone scales]]
* [[:Category: 8-tone scales]]
* [[:Category: 9-tone scales]]
* [[:Category: 10-tone scales]]
* [[:Category: 11-tone scales]]
* [[:Category: 12-tone scales]]
 
== Regular temperament theory (RTT) ==
* [[Monzo]]
* [[Val]]
* [[Mapping]]
* [[Patent val]]
* [[Tempering out]]
* [[Rank and codimension]]
* [[Keenan's explanation of vals]]
* [[Comma pump]]
* [[Comma basis]]
* [[Saturation, torsion, and contorsion]]
* [[Dyadic chord]]
* [[Essential tempering comma]]
* [[Graham complexity]]
 
== Advanced theory ==
{{Main| Mathematical theory }}
 
[[Category:Theory]]
[[Category:Todo:review]]

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

  • 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