Nominal-accidental chain: Difference between revisions

Wikispaces>xenwolf
**Imported revision 243867855 - Original comment: **
Wikispaces>TallKite
**Imported revision 589295268 - Original comment: Fleshed it out and fixed some errors: Western notation precedes 12edo by centuries. 24edo and 36edo also have C# = Db..**
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2011-08-02 02:51:43 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-08-14 01:57:17 UTC</tt>.<br>
: The original revision id was <tt>243867855</tt>.<br>
: The original revision id was <tt>589295268</tt>.<br>
: The revision comment was: <tt></tt><br>
: The revision comment was: <tt>Fleshed it out and fixed some errors: Western notation precedes 12edo by centuries. 24edo and 36edo also have C# = Db..</tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<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>
<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">There may be a better name for this.
<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">There may be a better name for this.


This is an attempt to name a very common pattern in [[Notation|notating]] microtonal pitch systems. These are analogic extensions of basic Western music notation of [[12edo]].
This is an attempt to name a very common pattern in [[Notation|notating]] microtonal pitch systems. These are analogic extensions of basic Western music notation.


**Nominal** means that you give some pitches in your scale specific names. In Western music notation, the seven naturals A B C D E F G are given these names. (Historically, H has also been used.)
**Nominal** means that some pitches have specific names. In Western music notation, these names are the seven letters A B C D E F G. (Historically, H has also been used.) In a pentatonic notation, there would be only five names.


**Accidental** means that for the pitches without names, you name them as modifications (accidentals) of the named pitches. In Western music notation, the five "black keys" are named by adding "sharp" or "flat" to A-G.
**Accidental** means that additional pitches arise as modifications (accidentals) of the named pitches. Unmodified pitches are natural notes. In Western music notation, the five "black keys" are named by adding "sharp" or "flat" to A-G.


**[[Enharmonic equivalence]]** may arise from this approach. This is when you have multiple names for the same pitch. C-sharp is enharmonically equivalent to D-flat, but only in 12-EDO!
The named pitches form a chain, with each one separated from the next by a specific interval. This interval can be said to generate the notation, or the notation can be said to be based on this interval. This interval traditionally has been a just or near-just 3/2. Other intervals are possible, and even desirable for certain edos like 13, 18 and 23.
 
Western musical notation uses 7 nominals in a chain of fifths, and is a heptatonic fifth-based notation.
 
**[[Enharmonic equivalence]]** may arise from this approach. This is when you have multiple names for the same pitch. C-sharp is enharmonically equivalent to D-flat, but only in 12-EDO, 24-EDO, 36-EDO, etc.


This page is incomplete, and will eventually contain or refer to
This page is incomplete, and will eventually contain or refer to
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<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;Nominal-Accidental Chains&lt;/title&gt;&lt;/head&gt;&lt;body&gt;There may be a better name for this.&lt;br /&gt;
<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;Nominal-Accidental Chains&lt;/title&gt;&lt;/head&gt;&lt;body&gt;There may be a better name for this.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This is an attempt to name a very common pattern in &lt;a class="wiki_link" href="/Notation"&gt;notating&lt;/a&gt; microtonal pitch systems. These are analogic extensions of basic Western music notation of &lt;a class="wiki_link" href="/12edo"&gt;12edo&lt;/a&gt;.&lt;br /&gt;
This is an attempt to name a very common pattern in &lt;a class="wiki_link" href="/Notation"&gt;notating&lt;/a&gt; microtonal pitch systems. These are analogic extensions of basic Western music notation.&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;Nominal&lt;/strong&gt; means that some pitches have specific names. In Western music notation, these names are the seven letters A B C D E F G. (Historically, H has also been used.) In a pentatonic notation, there would be only five names.&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;Accidental&lt;/strong&gt; means that additional pitches arise as modifications (accidentals) of the named pitches. Unmodified pitches are natural notes. In Western music notation, the five &amp;quot;black keys&amp;quot; are named by adding &amp;quot;sharp&amp;quot; or &amp;quot;flat&amp;quot; to A-G.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;Nominal&lt;/strong&gt; means that you give some pitches in your scale specific names. In Western music notation, the seven naturals A B C D E F G are given these names. (Historically, H has also been used.)&lt;br /&gt;
The named pitches form a chain, with each one separated from the next by a specific interval. This interval can be said to generate the notation, or the notation can be said to be based on this interval. This interval traditionally has been a just or near-just 3/2. Other intervals are possible, and even desirable for certain edos like 13, 18 and 23.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;Accidental&lt;/strong&gt; means that for the pitches without names, you name them as modifications (accidentals) of the named pitches. In Western music notation, the five &amp;quot;black keys&amp;quot; are named by adding &amp;quot;sharp&amp;quot; or &amp;quot;flat&amp;quot; to A-G.&lt;br /&gt;
Western musical notation uses 7 nominals in a chain of fifths, and is a heptatonic fifth-based notation.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;strong&gt;&lt;a class="wiki_link" href="/Enharmonic%20equivalence"&gt;Enharmonic equivalence&lt;/a&gt;&lt;/strong&gt; may arise from this approach. This is when you have multiple names for the same pitch. C-sharp is enharmonically equivalent to D-flat, but only in 12-EDO!&lt;br /&gt;
&lt;strong&gt;&lt;a class="wiki_link" href="/Enharmonic%20equivalence"&gt;Enharmonic equivalence&lt;/a&gt;&lt;/strong&gt; may arise from this approach. This is when you have multiple names for the same pitch. C-sharp is enharmonically equivalent to D-flat, but only in 12-EDO, 24-EDO, 36-EDO, etc.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
This page is incomplete, and will eventually contain or refer to&lt;br /&gt;
This page is incomplete, and will eventually contain or refer to&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;How to use A-G circle-of-fifths notation to notate any tuning with a &lt;a class="wiki_link" href="/circle%20of%20fifths"&gt;circle of fifths&lt;/a&gt;&lt;/li&gt;&lt;li&gt;Non-A-G extensions, including &lt;a class="wiki_link" href="/Erv%20Wilson"&gt;Erv Wilson&lt;/a&gt;'s greek letters, &lt;a class="wiki_link" href="/Bohlen-Pierce"&gt;Bohlen-Pierce&lt;/a&gt; notation, &lt;a class="wiki_link" href="/Armodue"&gt;Armodue&lt;/a&gt; number notation&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Mark%20Gould"&gt;Mark Gould&lt;/a&gt;'s connection of accidentals to &lt;a class="wiki_link" href="/bi-level%20MOS"&gt;bi-level MOS&lt;/a&gt;&lt;/li&gt;&lt;li&gt;the term &amp;quot;&lt;a class="wiki_link" href="/albitonic"&gt;albitonic&lt;/a&gt;&amp;quot;&lt;/li&gt;&lt;li&gt;Connections to &lt;a class="wiki_link" href="/Sagittal"&gt;Sagittal&lt;/a&gt; notation proposal &amp;amp; &lt;a class="wiki_link" href="/Aaron%20Hunt"&gt;Aaron Hunt&lt;/a&gt;'s system&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
&lt;ul&gt;&lt;li&gt;How to use A-G circle-of-fifths notation to notate any tuning with a &lt;a class="wiki_link" href="/circle%20of%20fifths"&gt;circle of fifths&lt;/a&gt;&lt;/li&gt;&lt;li&gt;Non-A-G extensions, including &lt;a class="wiki_link" href="/Erv%20Wilson"&gt;Erv Wilson&lt;/a&gt;'s greek letters, &lt;a class="wiki_link" href="/Bohlen-Pierce"&gt;Bohlen-Pierce&lt;/a&gt; notation, &lt;a class="wiki_link" href="/Armodue"&gt;Armodue&lt;/a&gt; number notation&lt;/li&gt;&lt;li&gt;&lt;a class="wiki_link" href="/Mark%20Gould"&gt;Mark Gould&lt;/a&gt;'s connection of accidentals to &lt;a class="wiki_link" href="/bi-level%20MOS"&gt;bi-level MOS&lt;/a&gt;&lt;/li&gt;&lt;li&gt;the term &amp;quot;&lt;a class="wiki_link" href="/albitonic"&gt;albitonic&lt;/a&gt;&amp;quot;&lt;/li&gt;&lt;li&gt;Connections to &lt;a class="wiki_link" href="/Sagittal"&gt;Sagittal&lt;/a&gt; notation proposal &amp;amp; &lt;a class="wiki_link" href="/Aaron%20Hunt"&gt;Aaron Hunt&lt;/a&gt;'s system&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>