Reticular intonation - Revision history

BudjarnLambeth: Todo

2025-04-20T10:17:06Z

Todo

← Older revision		Revision as of 10:17, 20 April 2025
Line 8:		Line 8:
	For entirely practical purposes, however, only the diagonal type contains intervals which have unlimited utility as the base of a scale; a seventh entirely and a sixth partially being too wide to seriously muddy close voicings of triads and a tenth being narrow enough to create a scale which entirely coheres. Incidentally, therefore, 2/1 is not the axis of symmetry of this region, being in fact significantly flat of that interval, itself not even being a simple fraction of 2/1 (although essentially, if not exactly 2 degrees of [[3edt]]).		For entirely practical purposes, however, only the diagonal type contains intervals which have unlimited utility as the base of a scale; a seventh entirely and a sixth partially being too wide to seriously muddy close voicings of triads and a tenth being narrow enough to create a scale which entirely coheres. Incidentally, therefore, 2/1 is not the axis of symmetry of this region, being in fact significantly flat of that interval, itself not even being a simple fraction of 2/1 (although essentially, if not exactly 2 degrees of [[3edt]]).

			{{todo\|inline=1\|review\|clarify}}
	[[Category:Tuning]]		[[Category:Tuning]]

ArrowHead294 at 18:38, 13 March 2025

2025-03-13T18:38:46Z

← Older revision		Revision as of 18:38, 13 March 2025
Line 3:		Line 3:
	Largely in theory, then, the types of RI are the following:		Largely in theory, then, the types of RI are the following:

	* Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[~~Bohlen-Pierce~~]] Lambda scale is the canonical example of this type)		* Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[Bohlen–Pierce]] [[Lambda]] scale is the canonical example of this type)
	* Diagonal: based on any other interval (the family of [[EDF\|edf]]s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)		* Diagonal: based on any other interval (the family of [[EDF\|edf]]s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)

ArrowHead294: ArrowHead294 moved page Reticular Intonation to Reticular intonation: WP:NCCAPS

2025-03-13T18:38:25Z

ArrowHead294 moved page Reticular Intonation to Reticular intonation: WP:NCCAPS

← Older revision	Revision as of 18:38, 13 March 2025
(No difference)

Fredg999: Mark term as idiosyncratic, markup, categories

2023-12-12T20:51:01Z

Mark term as idiosyncratic, markup, categories

← Older revision		Revision as of 20:51, 12 December 2023
Line 1:		Line 1:
	Reticular ~~Intonation~~ (RI) is the theory and practice of using an interval audibly (very) distinct from 2/1 (or its multiples) directly as the base of a [[~~Just_intonation\|~~just]] or tempered scale (said interval here assumed the interval of equivalence of this scale). In theory, the interval chosen may be any member of this infinite set. However, the practical utility of most intervals as bases of RI scales is limited by their being either so narrow as to seriously muddy the close voicings of triads (e. g. the [[EDF\|fifth]]) or so wide as to create scales which do not entirely cohere (e.g. the [[edt\|tritave]]).		'''Reticular intonation''' ('''RI'''){{idiosyncratic}} (term proposed by diagonalia) is the theory and practice of using an interval audibly (very) distinct from 2/1 (or its multiples) directly as the base of a [[just]] or [[tempered]] scale (said interval here assumed the [[interval of equivalence]] of this scale). In theory, the interval chosen may be any member of this infinite set. However, the practical utility of most intervals as bases of RI scales is limited by their being either so narrow as to seriously muddy the close voicings of triads (e. g. the [[EDF\|fifth]]) or so wide as to create scales which do not entirely cohere (e.g. the [[edt\|tritave]]).

	Largely in theory, then, the types of RI are the following:		Largely in theory, then, the types of RI are the following:

	~~<ul><li>~~Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[~~Bohlen-Pierce\|~~Bohlen-Pierce]] Lambda scale is the canonical example of this type)~~</li><li>~~Diagonal: based on any other interval (the family of [[EDF\|edf]]s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)~~</li></ul>~~For entirely practical purposes, however, only the diagonal type contains intervals which have unlimited utility as the base of a scale; a seventh entirely and a sixth partially being too wide to seriously muddy close voicings of triads and a tenth being narrow enough to create a scale which entirely coheres. Incidentally, therefore, 2/1 is not the axis of symmetry of this region, being in fact significantly flat of that interval, itself not even being a simple fraction of 2/1 (although essentially, if not exactly 2 degrees of [[~~3edt\|~~3edt]]).		* Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[Bohlen-Pierce]] Lambda scale is the canonical example of this type)
	~~[[Category:Terms]]~~		* Diagonal: based on any other interval (the family of [[EDF\|edf]]s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)
	[[Category:~~Method~~]]
			For entirely practical purposes, however, only the diagonal type contains intervals which have unlimited utility as the base of a scale; a seventh entirely and a sixth partially being too wide to seriously muddy close voicings of triads and a tenth being narrow enough to create a scale which entirely coheres. Incidentally, therefore, 2/1 is not the axis of symmetry of this region, being in fact significantly flat of that interval, itself not even being a simple fraction of 2/1 (although essentially, if not exactly 2 degrees of [[3edt]]).

			[[Category:Tuning]]

BudjarnLambeth: Categorised this uncategorised page

2023-04-28T08:44:26Z

Categorised this uncategorised page

← Older revision		Revision as of 08:44, 28 April 2023
Line 4:		Line 4:

	<ul><li>Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[Bohlen-Pierce\|Bohlen-Pierce]] Lambda scale is the canonical example of this type)</li><li>Diagonal: based on any other interval (the family of [[EDF\|edf]]s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)</li></ul>For entirely practical purposes, however, only the diagonal type contains intervals which have unlimited utility as the base of a scale; a seventh entirely and a sixth partially being too wide to seriously muddy close voicings of triads and a tenth being narrow enough to create a scale which entirely coheres. Incidentally, therefore, 2/1 is not the axis of symmetry of this region, being in fact significantly flat of that interval, itself not even being a simple fraction of 2/1 (although essentially, if not exactly 2 degrees of [[3edt\|3edt]]).		<ul><li>Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[Bohlen-Pierce\|Bohlen-Pierce]] Lambda scale is the canonical example of this type)</li><li>Diagonal: based on any other interval (the family of [[EDF\|edf]]s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)</li></ul>For entirely practical purposes, however, only the diagonal type contains intervals which have unlimited utility as the base of a scale; a seventh entirely and a sixth partially being too wide to seriously muddy close voicings of triads and a tenth being narrow enough to create a scale which entirely coheres. Incidentally, therefore, 2/1 is not the axis of symmetry of this region, being in fact significantly flat of that interval, itself not even being a simple fraction of 2/1 (although essentially, if not exactly 2 degrees of [[3edt\|3edt]]).
			[[Category:Terms]]
			[[Category:Method]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+Reticular Intonation (RI) is the theory and practice of using an interval audibly (very) distinct from 2/1 (or its multiples) directly as the base of a [[Just_intonation|just]] or tempered scale (said interval here assumed the interval of equivalence of this scale). In theory, the interval chosen may be any member of this infinite set. However, the practical utility of most intervals as bases of RI scales is limited by their being either so narrow as to seriously muddy the close voicings of triads (e. g. the [[EDF|fifth]]) or so wide as to create scales which do not entirely cohere (e.g. the [[edt|tritave]]).
 Largely in theory, then, the types of RI are the following:
-* Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[Bohlen-Pierce]] Lambda scale is the canonical example of this type)
-* Diagonal: based on any other interval (the family of [[edf]]s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)
+<ul><li>Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[Bohlen-Pierce|Bohlen-Pierce]] Lambda scale is the canonical example of this type)</li><li>Diagonal: based on any other interval (the family of [[EDF|edf]]s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)</li></ul>For entirely practical purposes, however, only the diagonal type contains intervals which have unlimited utility as the base of a scale; a seventh entirely and a sixth partially being too wide to seriously muddy close voicings of triads and a tenth being narrow enough to create a scale which entirely coheres. Incidentally, therefore, 2/1 is not the axis of symmetry of this region, being in fact significantly flat of that interval, itself not even being a simple fraction of 2/1 (although essentially, if not exactly 2 degrees of [[3edt|3edt]]).

Wikispaces>diagonalia: Imported revision 602904732 - Original comment:

2016-12-30T01:18:47Z

**Imported revision 602904732 - Original comment: **

New page

<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:diagonalia|diagonalia]] and made on <tt>2016-12-30 01:18:47 UTC</tt>.<br>
: The original revision id was <tt>602904732</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>
<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">Reticular Intonation (RI) is the theory and practice of using an interval audibly (very) distinct from 2/1 (or its multiples) directly as the base of a [[Just intonation|just]] or tempered scale (said interval here assumed the interval of equivalence of this scale). In theory, the interval chosen may be any member of this infinite set. However, the practical utility of most intervals as bases of RI scales is limited by their being either so narrow as to seriously muddy the close voicings of triads (e. g. the [[edf|fifth]]) or so wide as to create scales which do not entirely cohere (e.g. the [[edt|tritave]]).

Largely in theory, then, the types of RI are the following:
* Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the [[Bohlen-Pierce]] Lambda scale is the canonical example of this type)
* Diagonal: based on any other interval (the family of [[edf]]s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)
For entirely practical purposes, however, only the diagonal type contains intervals which have unlimited utility as the base of a scale; a seventh entirely and a sixth partially being too wide to seriously muddy close voicings of triads and a tenth being narrow enough to create a scale which entirely coheres. Incidentally, therefore, 2/1 is not the axis of symmetry of this region, being in fact significantly flat of that interval, itself not even being a simple fraction of 2/1 (although essentially, if not exactly 2 degrees of [[3edt]]).</pre></div>
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Reticular Intonation</title></head><body>Reticular Intonation (RI) is the theory and practice of using an interval audibly (very) distinct from 2/1 (or its multiples) directly as the base of a <a class="wiki_link" href="/Just%20intonation">just</a> or tempered scale (said interval here assumed the interval of equivalence of this scale). In theory, the interval chosen may be any member of this infinite set. However, the practical utility of most intervals as bases of RI scales is limited by their being either so narrow as to seriously muddy the close voicings of triads (e. g. the <a class="wiki_link" href="/edf">fifth</a>) or so wide as to create scales which do not entirely cohere (e.g. the <a class="wiki_link" href="/edt">tritave</a>).<br />
<br />
Largely in theory, then, the types of RI are the following:<br />
<ul><li>Orthogonal and pseudo-orthogonal: based on an interval audibly not very distinct from the product of unequal positive integer powers of integers (the <a class="wiki_link" href="/Bohlen-Pierce">Bohlen-Pierce</a> Lambda scale is the canonical example of this type)</li><li>Diagonal: based on any other interval (the family of <a class="wiki_link" href="/edf">edf</a>s supporting the temperament based on a cycle of 5/4s is the canonical example of this type)</li></ul>For entirely practical purposes, however, only the diagonal type contains intervals which have unlimited utility as the base of a scale; a seventh entirely and a sixth partially being too wide to seriously muddy close voicings of triads and a tenth being narrow enough to create a scale which entirely coheres. Incidentally, therefore, 2/1 is not the axis of symmetry of this region, being in fact significantly flat of that interval, itself not even being a simple fraction of 2/1 (although essentially, if not exactly 2 degrees of <a class="wiki_link" href="/3edt">3edt</a>).</body></html></pre></div>