Peppermint-24: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-18 12:10:17 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-18 12:12:55 UTC</tt>.

: The original revision id was <tt>~~211791132~~</tt>.

: The original revision id was <tt>211791988</tt>.

: The revision comment was: <tt></tt>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Line 15:

Here I shall explore the mapping of approximate ratios, and especially of superparticular and other ratios within [[Harry Partch]]'s larger 17-limit set, in the tuning system and keyboard arrangement I call Peppermint 24.

Peppermint 24 takes as its basis a [[Regular Temperaments|regular temperament]] mentioned in [[Erv Wilson|Ervin Wilson]]'s Scale Tree and described on the Tuning List by [[Keenan Pepper]], with a fifth of about 704.096 cents, and a precise ratio of [[Phi]], the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents.

Peppermint 24 takes as its basis a [[Regular Temperaments|regular temperament]] mentioned in [[Erv Wilson|Ervin Wilson]]'s Scale Tree and described on the Tuning List by [[Keenan Pepper]], with a fifth of about 704.096 cents, and a precise ratio of [[http://en.wikipedia.org/wiki/Golden_ratio|Phi]], the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents.

In Peppermint 24, two regular 12-note chains of this temperament are placed at a distance of approximately 58.680 cents, so as to yield some pure ratios of 6:7 (~266.871 cents).

Line 166:

Here I shall explore the mapping of approximate ratios, and especially of superparticular and other ratios within <a class="wiki_link" href="/Harry%20Partch">Harry Partch</a>'s larger 17-limit set, in the tuning system and keyboard arrangement I call Peppermint 24.

Peppermint 24 takes as its basis a <a class="wiki_link" href="/Regular%20Temperaments">regular temperament</a> mentioned in <a class="wiki_link" href="/Erv%20Wilson">Ervin Wilson</a>'s Scale Tree and described on the Tuning List by <a class="wiki_link" href="/Keenan%20Pepper">Keenan Pepper</a>, with a fifth of about 704.096 cents, and a precise ratio of <a class="~~wiki_link~~" href="/~~Phi~~">Phi</a>, the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents.

Peppermint 24 takes as its basis a <a class="wiki_link" href="/Regular%20Temperaments">regular temperament</a> mentioned in <a class="wiki_link" href="/Erv%20Wilson">Ervin Wilson</a>'s Scale Tree and described on the Tuning List by <a class="wiki_link" href="/Keenan%20Pepper">Keenan Pepper</a>, with a fifth of about 704.096 cents, and a precise ratio of <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Golden_ratio" rel="nofollow">Phi</a>, the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents.

In Peppermint 24, two regular 12-note chains of this temperament are placed at a distance of approximately 58.680 cents, so as to yield some pure ratios of 6:7 (~266.871 cents).

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-03-18 12:10:17 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-18 12:12:55 UTC</tt>.<br>
-: The original revision id was <tt>211791132</tt>.<br>
+: The original revision id was <tt>211791988</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 15: / Line 15: @@
 Here I shall explore the mapping of approximate ratios, and especially of superparticular and other ratios within [[Harry Partch]]'s larger 17-limit set, in the tuning system and keyboard arrangement I call Peppermint 24.
-Peppermint 24 takes as its basis a [[Regular Temperaments|regular temperament]] mentioned in [[Erv Wilson|Ervin Wilson]]'s Scale Tree and described on the Tuning List by [[Keenan Pepper]], with a fifth of about 704.096 cents, and a precise ratio of [[Phi]], the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents.
+Peppermint 24 takes as its basis a [[Regular Temperaments|regular temperament]] mentioned in [[Erv Wilson|Ervin Wilson]]'s Scale Tree and described on the Tuning List by [[Keenan Pepper]], with a fifth of about 704.096 cents, and a precise ratio of [[http://en.wikipedia.org/wiki/Golden_ratio|Phi]], the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents.
 In Peppermint 24, two regular 12-note chains of this temperament are placed at a distance of approximately 58.680 cents, so as to yield some pure ratios of 6:7 (~266.871 cents).
@@ Line 166: / Line 166: @@
 Here I shall explore the mapping of approximate ratios, and especially of superparticular and other ratios within &lt;a class="wiki_link" href="/Harry%20Partch"&gt;Harry Partch&lt;/a&gt;'s larger 17-limit set, in the tuning system and keyboard arrangement I call Peppermint 24.&lt;br /&gt;
 &lt;br /&gt;
-Peppermint 24 takes as its basis a &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;regular temperament&lt;/a&gt; mentioned in &lt;a class="wiki_link" href="/Erv%20Wilson"&gt;Ervin Wilson&lt;/a&gt;'s Scale Tree and described on the Tuning List by &lt;a class="wiki_link" href="/Keenan%20Pepper"&gt;Keenan Pepper&lt;/a&gt;, with a fifth of about 704.096 cents, and a precise ratio of &lt;a class="wiki_link" href="/Phi"&gt;Phi&lt;/a&gt;, the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents.&lt;br /&gt;
+Peppermint 24 takes as its basis a &lt;a class="wiki_link" href="/Regular%20Temperaments"&gt;regular temperament&lt;/a&gt; mentioned in &lt;a class="wiki_link" href="/Erv%20Wilson"&gt;Ervin Wilson&lt;/a&gt;'s Scale Tree and described on the Tuning List by &lt;a class="wiki_link" href="/Keenan%20Pepper"&gt;Keenan Pepper&lt;/a&gt;, with a fifth of about 704.096 cents, and a precise ratio of &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Golden_ratio" rel="nofollow"&gt;Phi&lt;/a&gt;, the Golden Section (~1.618) between the larger chromatic semitone (e.g. C-C#) at about 128.669 cents and the smaller diatonic semitone (e.g. C#-D) at about 79.522 cents.&lt;br /&gt;
 &lt;br /&gt;
 In Peppermint 24, two regular 12-note chains of this temperament are placed at a distance of approximately 58.680 cents, so as to yield some pure ratios of 6:7 (~266.871 cents).&lt;br /&gt;