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~~]]

If you are new to tuning theory looking for an overview, see the [[Guides]], especially [[Xen concepts for beginners]] and [[Nick Vuci's Fundamentals of Xen]].

[[~~EDT~~]]

[[~~Just intonation~~]]

If you are looking for tools to start playing microtonal music, see [[List of music software]], but we would like to highlight these, which will aid your study of tuning theory:

[[~~Monzos~~]]

* [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.

[~~[Patent val~~]]

* [[Xenpaper]] – text-based microtonal sequencer, like a notepad. Write down musical ideas and share the link around.

[[~~Regular Temperaments~~]]

* [https://www.yacavone.net/xen-calc/ xen-calc] – interval calculator that translates to/from ratios, cents, FJS and color notation, much more too.

[[~~Vals~~]]

~~<range type="comment" id="7441">~~

== Basics ==

~~<~~/~~range id="7441"><~~/~~pre><~~/~~div>~~

* [[Interval]]

~~<h4>Original HTML content:<~~/~~h4>~~

* [[Ratio]]

~~<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"><html><head><title>General Theory</~~title></head><body>Tuning theory can become heavily mathematical~~, and ~~as such can be difficult to understand~~. ~~Here are some links for the rest of us:<br />~~

** [[Ratio math]]

~~<br />~~

* [[Cent]]

~~<a class~~=~~"wiki_link" href~~=~~"/EDO">EDO</a><br />~~

* [[Chord]]

~~<a class~~=~~"wiki_link" href~~=~~"/EDT">EDT</a><br />~~

* [[Scale]]

~~<a class~~=~~"wiki_link" href~~=~~"/Just%20intonation">~~Just intonation~~</a><br />~~

* [[Mode]]

~~<a class~~=~~"wiki_link" href~~=~~"/Monzos">Monzos</a><br />~~

* [[Musical notation]]

~~<a class~~=~~"wiki_link" href~~=~~"/Patent%20val">~~Patent val~~</a><br />~~

* Terminology

~~<a class~~=~~"wiki_link" href~~=~~"/Regular%20Temperaments">Regular Temperaments</a><br />~~

** [[Glossary]]

~~<a class~~=~~"wiki_link" href~~=~~"/Vals">Vals</a><br />~~

** [[Acronyms]]

~~<a name="comment-7441-open" class="range"></a><br />~~

~~<a name="comment-7441-close" class="range"></a></body></html></pre></div>~~

== Core concepts ==

* [[Just intonation]]

* [[Harmonic series]]

** [[Chord of nature]]

* [[Equal division of the octave]]

** [[Equal-step tuning]] ([[edt]], [[edf]], …)

** [[Well temperament]]

* [[Regular temperaments]]

** [[Diatonic, chromatic, enharmonic, subchromatic]]

* [[MOS scale]]

** [[Periods and generators]]

* [[Hexany]]

* [[Delta-rational chord]]

== 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 ==

[[Category:Theory]]

[[Category:Todo:review]]

@@ Line 1: / Line 1: @@
-<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]]
+If you are new to tuning theory looking for an overview, see the [[Guides]], especially [[Xen concepts for beginners]] and [[Nick Vuci's Fundamentals of Xen]].
-[[EDT]]
-[[Just intonation]]
+If you are looking for tools to start playing microtonal music, see [[List of music software]], but we would like to highlight these, which will aid your study of tuning theory:
-[[Monzos]]
+* [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.
-[[Patent val]]
+* [[Xenpaper]] – text-based microtonal sequencer, like a notepad. Write down musical ideas and share the link around.
-[[Regular Temperaments]]
+* [https://www.yacavone.net/xen-calc/ xen-calc] – interval calculator that translates to/from ratios, cents, FJS and color notation, much more too.
-[[Vals]]
-&lt;range type="comment" id="7441"&gt;
+== Basics ==
-&lt;/range id="7441"&gt;</pre></div>
+* [[Interval]]
-<h4>Original HTML content:</h4>
+* [[Ratio]]
-<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;
+** [[Ratio math]]
-&lt;br /&gt;
+* [[Cent]]
-&lt;a class="wiki_link" href="/EDO"&gt;EDO&lt;/a&gt;&lt;br /&gt;
+* [[Chord]]
-&lt;a class="wiki_link" href="/EDT"&gt;EDT&lt;/a&gt;&lt;br /&gt;
+* [[Scale]]
-&lt;a class="wiki_link" href="/Just%20intonation"&gt;Just intonation&lt;/a&gt;&lt;br /&gt;
+* [[Mode]]
-&lt;a class="wiki_link" href="/Monzos"&gt;Monzos&lt;/a&gt;&lt;br /&gt;
+* [[Musical notation]]
-&lt;a class="wiki_link" href="/Patent%20val"&gt;Patent val&lt;/a&gt;&lt;br /&gt;
+* Terminology
-&lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;Regular Temperaments&lt;/a&gt;&lt;br /&gt;
+** [[Glossary]]
-&lt;a class="wiki_link" href="/Vals"&gt;Vals&lt;/a&gt;&lt;br /&gt;
+** [[Acronyms]]
-&lt;a name="comment-7441-open" class="range"&gt;&lt;/a&gt;&lt;br /&gt;
-&lt;a name="comment-7441-close" class="range"&gt;&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
+== Core concepts ==
+* [[Just intonation]]
+* [[Harmonic series]]
+** [[Chord of nature]]
+* [[Equal division of the octave]]
+** [[Equal-step tuning]] ([[edt]], [[edf]], …)
+** [[Well temperament]]
+* [[Regular temperaments]]
+** [[Diatonic, chromatic, enharmonic, subchromatic]]
+* [[MOS scale]]
+** [[Periods and generators]]
+* [[Hexany]]
+* [[Delta-rational chord]]
+== 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]]

General theory: Difference between revisions

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