<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=User%3ATremend%2FWIP</id>
	<title>User:Tremend/WIP - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://en.xen.wiki/index.php?action=history&amp;feed=atom&amp;title=User%3ATremend%2FWIP"/>
	<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;action=history"/>
	<updated>2026-06-23T13:20:53Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.6</generator>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=198770&amp;oldid=prev</id>
		<title>FloraC: Community reports this pollutes search results</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=198770&amp;oldid=prev"/>
		<updated>2025-06-05T16:45:59Z</updated>

		<summary type="html">&lt;p&gt;Community reports this pollutes search results&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 16:45, 5 June 2025&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Hey guys! I’m sorry if this turns out pretty bad but I’m pretty tired and its 00:00 right here, but whatever. I owe you guys an apology. I&#039;ll agree its my fault for not explaining some of these terms, I can see why you think I&#039;m a troll, but would a troll really go through all this trouble? [https://docs.google.com/document/d/1bh-HMt5h9HEUdKJr4AMLIFniwtwVMKE4zvvXJe5JSWo/edit?usp=sharing I tried explaining some of these terms earlier] but it seems like I wasn&#039;t clear enough. I&#039;m sorry and I apologize, I know my english isn&#039;t perfect but I try my best. Before I start, I gotta say, I coined these terms, I named them and I defined them, if I think theyre useful I&#039;ll coin them, no matter how silly the name (you can give me feedback or suggestions if you want), and I already was (and am) planning to write a page for each. I&#039;m hoping this will be clear anough, This system I’ve been working on focuses on shifting harmonies through slight, comma-sized intervals that connect nearby JI intervals, I tried to go for more of a &quot;composer&quot; point of view because I tried to make these terms more composer-friendly, unlike most of the wiki, I would like to see a world in where xen isnt 99.99% theory and 0.001% actual music.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;First, responding to Barium Unque on &quot;wibblepoints&quot; and &quot;adaptive harmony&quot;:&amp;lt;blockquote&amp;gt;First of all, hello, Barium&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Yes, Wibblepoints could parallel how slight pitch adjustments are used in common-practice music, like the third in chords or leading tones in traditional harmony. However, Wibblepoints differ by how I defined it in previous text: they’re intentional, nuanced microtonal reference points that emerge within the &#039;&#039;context of non-standard scales&#039;&#039;. Unlike “adaptive harmony” in common practice, where tonal adjustments are largely intuitive, Wibblepoints are EXPLICTLY structured intervals within alternative tunings, they&#039;re not merely interpretative, they’re designed into the lattice. I named wibblepoints like that, because as silly as it may sound, &quot;wibble&quot; sounds like a silly word for &quot;slight bounce&quot; or simply a &quot;wiggle&quot;.&amp;lt;/blockquote&amp;gt;Second, to Midnight Blue:&amp;lt;blockquote&amp;gt;TRG and Harmonic Flow are not the same, I already told you; the scope! But you’re absolutely right that expanding harmonic flow in a JI context can escalate complexity, especially when accumulating comma drift across the scale. The goal here is to establish specific tonal reference points within the harmonic structure where shifts are managed intentionally, preventing excess drift without simply adding more interval generators. Instead, it’s about aligning these key points in the harmonic layout to stabilize transitions, while still allowing for tonal flexibility. While tempered systems like Miracle inherently compress drift for smoother interval alignment, a well-structured JI lattice can use defined tonal anchors to achieve stable transitions and maintain harmonic consistency across the structure. Regardless of lattice structure TRG is not just about accumulating complexity through generator expansion but rather about facilitating smooth transitions across ALL tonalities and ALL harmonies. TRG maintains the overall flow and coherence of harmonic exploration within any tuning system, tempered or even untempered.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Now, on tonality flux, hey, I get where you&#039;re coming from, and I totally agree that my initial terms and descriptions could seem mystifying, especially if they seemed to skip over the foundational concepts like tonality flux and the role of kleismas. My intent was never to &quot;reinvent the wheel&quot; but to approach tonal microvariation in a way that could enhance interpretive flexibility and compositional options essentially, as an extension rather than a replacement.  For example, my approach to TRG (Tubular Resonant Gradations) and harmonic articulation was to examine how even minor adjustments in pitch or intervallic positioning might influence resonance perception in real time, especially within non-standard lattices. Like I said before, this is composer-centered, focusing on how how composers might experience and navigate these shifts dynamically in a way that feels more tangible in application.&amp;lt;/blockquote&amp;gt;Third:&amp;lt;blockquote&amp;gt;QIS are commas that&#039;s right yeah, while the comma is a fixed, quantifiable interval between the scales, minute, controlled adjustments in pitch that occur within a harmonic framework, often manipulating the fixed intervals established by commas.&amp;lt;/blockquote&amp;gt;Finally, I&#039;ll rewrite the glossary I did before:&amp;lt;blockquote&amp;gt;Tubular Resonant Gradations: &amp;lt;s&amp;gt;Continuous transitions between intervals in a scale that allow for smooth movement without discontinuities, enhancing the fluidity of harmonic connections. TRGs facilitate gradual pitch shifts, which are somewhat different from &#039;&#039;&#039;tonality flux&#039;&#039;&#039;, which describes subtle harmonic changes during voice leading in microtonal contexts. While both deal with smooth transitions, TRG has larger scope, therefore emphasizes the structural continuity of a scale, whereas tonality flux focuses on the movement between chords.&amp;lt;/s&amp;gt;  &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/blockquote&amp;gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;===== &quot;But one useful sneak peek of that critique (this is addressed to @Tremend ) is that you do not get to call &quot;pitch microvariation&quot; or &quot;dialectical intonation&quot; (both legitimate terms) using your neologism &quot;articulation&quot;, because articulation in music is a precisely defined concept which literally comprises of non-pitch parts of the coloratura, such as dynamics, accent, timbral artifacts, sudden changes in tempo, etc..&quot; -  Midnight Blu =====&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;blockquote&amp;gt;That&#039;s a very fair critique, &quot;articulation&quot; is kinda misleading so I&#039;ll replace &quot;articulation&quot; with something less ambiguous.  &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1: Axis Pivoting  &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/blockquote&amp;gt;Refers to deliberate harmonic shifts between different tonal axes, such as moving from a 7-limit position along a septimal kleisma to a complex 5-limit variant. Unlike micro-inflection, which suggests a subtle tonal adjustment within a single harmonic framework, axis pivoting reorients the tonal center by moving across different points within the lattice. Example: In a lattice, moving from a 7/4 interval to a nearby 5/4 by “pivoting” along a specific harmonic pathway. Different from micro-inflection, which fine-tunes pitch without moving to a new tonal axis.&amp;lt;blockquote&amp;gt;2: TRGs&amp;lt;/blockquote&amp;gt;A smooth, seamless progression between adjacent intervals within a tuning system. Imagine moving from one note to another in a JI lattice, where the ear perceives a gradual “flow” rather than a sharp jump. TRG’s function could be illustrated using a 7-limit tuning where adjacent intervals (like a 5/4 and 6/5) connect smoothly, different from tonality flux (Partch’s term) in that TRG can apply across single or multiple intervals in a chain, while tonality flux specifically addresses voice leading and micro-adjustments within narrow harmonic confines.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3. Wibblepoints:&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;These are designed reference points within a tuning or harmonic structure where slight microtonal shifts occur. Unlike typical pitch adjustments (like flattening a third in a minor chord), Wibblepoints are intentionally structured within the tuning framework. They’re designed into the lattice to give a slight “wiggle”  (hence the name) or flexibility at specific points, which gives the tuning a more organic, adaptive sound.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4. Quantum Interval Shifts (QIS):&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;QIS are microtonal adjustments or shifts in pitch within a scale, similar to commas but applied in a dynamic, context-based way. While a comma is a fixed, quantifiable interval shift between notes, QIS involve minute adjustments that respond to harmonic needs, tweaking intervals subtly to fit the surrounding context. I admit “Quantum” is misleading since it suggests something very small and precise, like, literally quantum sized LOL, but here it refers to flexible, small adjustments rather than literal quantum mechanics. &#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Please let me know if you might have a clearer name for this concept.&amp;lt;/u&amp;gt;&#039;&#039;&#039;&#039;&#039;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;5. Fuzzle junctions (and points):&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Converging points within a harmonic framework where multiple pathways intersect, creating complex tonal interactions and providing reference intervals to stabilize the harmonic structure.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6. Harmonic fribulations:&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Controlled oscillatory variations in pitch during sustained frequencies, characterized by slight deviations that enhance the texture of the sound without modifying the underlying structure of the harmonic relationships, then providing the &quot;vibrant resonances or shimmering effects&quot; I mentioned before.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7. Stochaplum Interval Gradients: Variations in pitch that introduce discrete pitch adjustments across intervals, useful for dynamically adjusting pitches to suit specific harmonic environments. Yes, I know, while the term &quot;gradient&quot; suggests variability, this refers instead to a collection of specific intervals that can be applied.. Each interval maintains a defined relationship to the original pitch, allowing for exploration of varied tonal interactions. Like for example, in 12TET system, gradually adjusting the cent value of specific intervals in a controlled way could create a smoother progression across pitches without re-tuning the whole scale. I remember seeing someone asking on XA why Stochaplum, just Stocha from &#039;&#039;&#039;stocha&#039;&#039;&#039;stic.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8. Fritzonal-Gradient Ratios: Fixed ratios that describe the specific relationships between selected intervals in a microtonal framework. Interval-specific ratios (notably 3/7, 5/8, 13/12) that support minute pitch deviations.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;9. Balbrations (Hyper-Dissonant Balbrations):&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Regions of intentional dissonance within a harmonic structure, often located around specific ratios like 6/5 and 11/9, which encourage a “commatic drift” between these intervals. This results in a purposeful tension that composers can use to create dynamic harmonic shifts. These &quot;balbrations&quot; are to amplify harmonic dissonance by amplifying intervalic discrepancy.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;10. Recursive Glibber Nodes:&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Points in a scale that generate repeated harmonic patterns, allowing for recursive layering of tones. For instance, in a recursive pattern based on 7/4, composers can create an iterative harmonic field, building on the 7th harmonic to create complex layering effects that enhance the scale’s depth.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;11. QRLs:&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Quadratic Resonant Limits describe the limits on resonance defined within a quadratic framework, specifically in 11-limit contexts where the 7-limit trithonic divergence plays a critical role. This structure enables smooth intervallic transitions and integrates unique features like the 7-limit into a lattice, fostering accessible modulation options for composers working within just intonation.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>FloraC</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163229&amp;oldid=prev</id>
		<title>Tremend at 06:48, 2 November 2024</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163229&amp;oldid=prev"/>
		<updated>2024-11-02T06:48:41Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 06:48, 2 November 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l12&quot;&gt;Line 12:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 12:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;blockquote&amp;gt;That&amp;#039;s a very fair critique, &amp;quot;articulation&amp;quot; is kinda misleading so I&amp;#039;ll replace &amp;quot;articulation&amp;quot; with something less ambiguous.   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;blockquote&amp;gt;That&amp;#039;s a very fair critique, &amp;quot;articulation&amp;quot; is kinda misleading so I&amp;#039;ll replace &amp;quot;articulation&amp;quot; with something less ambiguous.   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;Refers to deliberate harmonic shifts between different tonal axes, such as moving from a 7-limit position along a septimal kleisma to a complex 5-limit variant. Unlike micro-inflection, which suggests a subtle tonal adjustment within a single harmonic framework, axis pivoting reorients the tonal center by moving across different points within the lattice. Example: In a lattice, moving from a 7/4 interval to a nearby 5/4 by “pivoting” along a specific harmonic pathway. Different from micro-inflection, which fine-tunes pitch without moving to a new tonal axis.&amp;lt;blockquote&amp;gt;2: TRGs&amp;lt;/blockquote&amp;gt;A smooth, seamless progression between adjacent intervals within a tuning system. Imagine moving from one note to another in a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;just intonation (&lt;/del&gt;JI&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;) &lt;/del&gt;lattice, where the ear perceives a gradual “flow” rather than a sharp jump. TRG’s function could be illustrated using a 7-limit tuning where adjacent intervals (like a 5/4 and 6/5) connect smoothly, different from tonality flux (Partch’s term) in that TRG can apply across single or multiple intervals in a chain, while tonality flux specifically addresses voice leading and micro-adjustments within narrow harmonic confines.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;1: Axis Pivoting  &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;Refers to deliberate harmonic shifts between different tonal axes, such as moving from a 7-limit position along a septimal kleisma to a complex 5-limit variant. Unlike micro-inflection, which suggests a subtle tonal adjustment within a single harmonic framework, axis pivoting reorients the tonal center by moving across different points within the lattice. Example: In a lattice, moving from a 7/4 interval to a nearby 5/4 by “pivoting” along a specific harmonic pathway. Different from micro-inflection, which fine-tunes pitch without moving to a new tonal axis.&amp;lt;blockquote&amp;gt;2: TRGs&amp;lt;/blockquote&amp;gt;A smooth, seamless progression between adjacent intervals within a tuning system. Imagine moving from one note to another in a JI lattice, where the ear perceives a gradual “flow” rather than a sharp jump. TRG’s function could be illustrated using a 7-limit tuning where adjacent intervals (like a 5/4 and 6/5) connect smoothly, different from tonality flux (Partch’s term) in that TRG can apply across single or multiple intervals in a chain, while tonality flux specifically addresses voice leading and micro-adjustments within narrow harmonic confines.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tremend</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163227&amp;oldid=prev</id>
		<title>Tremend at 06:47, 2 November 2024</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163227&amp;oldid=prev"/>
		<updated>2024-11-02T06:47:33Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 06:47, 2 November 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l30&quot;&gt;Line 30:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 30:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;6. Harmonic fribulations:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;6. Harmonic fribulations:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Controlled oscillatory variations in pitch during sustained frequencies, characterized by slight deviations that enhance the texture of the sound without modifying the underlying structure of the harmonic relationships.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Controlled oscillatory variations in pitch during sustained frequencies, characterized by slight deviations that enhance the texture of the sound without modifying the underlying structure of the harmonic relationships&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, then providing the &quot;vibrant resonances or shimmering effects&quot; I mentioned before&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;7. Stochaplum Interval Gradients: Variations in pitch that introduce discrete pitch adjustments across intervals, useful for dynamically adjusting pitches to suit specific harmonic environments. Yes, I know, while the term &amp;quot;gradient&amp;quot; suggests variability, this refers instead to a collection of specific intervals that can be applied.. Each interval maintains a defined relationship to the original pitch, allowing for exploration of varied tonal interactions. Like for example, in 12TET system, gradually adjusting the cent value of specific intervals in a controlled way could create a smoother progression across pitches without re-tuning the whole scale. I remember seeing someone asking on XA why Stochaplum, just Stocha from &amp;#039;&amp;#039;&amp;#039;stocha&amp;#039;&amp;#039;&amp;#039;stic.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;7. Stochaplum Interval Gradients: Variations in pitch that introduce discrete pitch adjustments across intervals, useful for dynamically adjusting pitches to suit specific harmonic environments. Yes, I know, while the term &amp;quot;gradient&amp;quot; suggests variability, this refers instead to a collection of specific intervals that can be applied.. Each interval maintains a defined relationship to the original pitch, allowing for exploration of varied tonal interactions. Like for example, in 12TET system, gradually adjusting the cent value of specific intervals in a controlled way could create a smoother progression across pitches without re-tuning the whole scale. I remember seeing someone asking on XA why Stochaplum, just Stocha from &amp;#039;&amp;#039;&amp;#039;stocha&amp;#039;&amp;#039;&amp;#039;stic.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tremend</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163225&amp;oldid=prev</id>
		<title>Tremend at 06:46, 2 November 2024</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163225&amp;oldid=prev"/>
		<updated>2024-11-02T06:46:25Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 06:46, 2 November 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Hey guys! I’m sorry if this turns out pretty bad but I’m pretty tired and its 00:00 right here, but whatever. I owe you guys an apology. I&#039;ll agree its my fault for not explaining some of these terms, I can see why you think I&#039;m a troll, but would a troll really &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;do &lt;/del&gt;all this? [https://docs.google.com/document/d/1bh-HMt5h9HEUdKJr4AMLIFniwtwVMKE4zvvXJe5JSWo/edit?usp=sharing I tried explaining some of these terms earlier] but it seems like I wasn&#039;t clear enough. I&#039;m sorry and I apologize, I know my english isn&#039;t perfect but I try my best. Before I start, I gotta say, I coined these terms, I named them and I defined them, if I think theyre useful I&#039;ll coin them, no matter how silly the name (you can give me feedback or suggestions if you want), and I already was (and am) planning to write a page for each. I&#039;m hoping this will be clear anough, I tried to go for more of a &quot;composer&quot; point of view because I tried to make these terms more composer-friendly, unlike most of the wiki.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Hey guys! I’m sorry if this turns out pretty bad but I’m pretty tired and its 00:00 right here, but whatever. I owe you guys an apology. I&#039;ll agree its my fault for not explaining some of these terms, I can see why you think I&#039;m a troll, but would a troll really &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;go through &lt;/ins&gt;all this &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;trouble&lt;/ins&gt;? [https://docs.google.com/document/d/1bh-HMt5h9HEUdKJr4AMLIFniwtwVMKE4zvvXJe5JSWo/edit?usp=sharing I tried explaining some of these terms earlier] but it seems like I wasn&#039;t clear enough. I&#039;m sorry and I apologize, I know my english isn&#039;t perfect but I try my best. Before I start, I gotta say, I coined these terms, I named them and I defined them, if I think theyre useful I&#039;ll coin them, no matter how silly the name (you can give me feedback or suggestions if you want), and I already was (and am) planning to write a page for each. I&#039;m hoping this will be clear anough&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, This system I’ve been working on focuses on shifting harmonies through slight, comma-sized intervals that connect nearby JI intervals&lt;/ins&gt;, I tried to go for more of a &quot;composer&quot; point of view because I tried to make these terms more composer-friendly, unlike most of the wiki&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, I would like to see a world in where xen isnt 99.99% theory and 0.001% actual music&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;First, responding to Barium Unque on &amp;quot;wibblepoints&amp;quot; and &amp;quot;adaptive harmony&amp;quot;:&amp;lt;blockquote&amp;gt;First of all, hello, Barium&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;First, responding to Barium Unque on &amp;quot;wibblepoints&amp;quot; and &amp;quot;adaptive harmony&amp;quot;:&amp;lt;blockquote&amp;gt;First of all, hello, Barium&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l5&quot;&gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Yes, Wibblepoints could parallel how slight pitch adjustments are used in common-practice music, like the third in chords or leading tones in traditional harmony. However, Wibblepoints differ by how I defined it in previous text: they’re intentional, nuanced microtonal reference points that emerge within the &amp;#039;&amp;#039;context of non-standard scales&amp;#039;&amp;#039;. Unlike “adaptive harmony” in common practice, where tonal adjustments are largely intuitive, Wibblepoints are EXPLICTLY structured intervals within alternative tunings, they&amp;#039;re not merely interpretative, they’re designed into the lattice. I named wibblepoints like that, because as silly as it may sound, &amp;quot;wibble&amp;quot; sounds like a silly word for &amp;quot;slight bounce&amp;quot; or simply a &amp;quot;wiggle&amp;quot;.&amp;lt;/blockquote&amp;gt;Second, to Midnight Blue:&amp;lt;blockquote&amp;gt;TRG and Harmonic Flow are not the same, I already told you; the scope! But you’re absolutely right that expanding harmonic flow in a JI context can escalate complexity, especially when accumulating comma drift across the scale. The goal here is to establish specific tonal reference points within the harmonic structure where shifts are managed intentionally, preventing excess drift without simply adding more interval generators. Instead, it’s about aligning these key points in the harmonic layout to stabilize transitions, while still allowing for tonal flexibility. While tempered systems like Miracle inherently compress drift for smoother interval alignment, a well-structured JI lattice can use defined tonal anchors to achieve stable transitions and maintain harmonic consistency across the structure. Regardless of lattice structure TRG is not just about accumulating complexity through generator expansion but rather about facilitating smooth transitions across ALL tonalities and ALL harmonies. TRG maintains the overall flow and coherence of harmonic exploration within any tuning system, tempered or even untempered.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Yes, Wibblepoints could parallel how slight pitch adjustments are used in common-practice music, like the third in chords or leading tones in traditional harmony. However, Wibblepoints differ by how I defined it in previous text: they’re intentional, nuanced microtonal reference points that emerge within the &amp;#039;&amp;#039;context of non-standard scales&amp;#039;&amp;#039;. Unlike “adaptive harmony” in common practice, where tonal adjustments are largely intuitive, Wibblepoints are EXPLICTLY structured intervals within alternative tunings, they&amp;#039;re not merely interpretative, they’re designed into the lattice. I named wibblepoints like that, because as silly as it may sound, &amp;quot;wibble&amp;quot; sounds like a silly word for &amp;quot;slight bounce&amp;quot; or simply a &amp;quot;wiggle&amp;quot;.&amp;lt;/blockquote&amp;gt;Second, to Midnight Blue:&amp;lt;blockquote&amp;gt;TRG and Harmonic Flow are not the same, I already told you; the scope! But you’re absolutely right that expanding harmonic flow in a JI context can escalate complexity, especially when accumulating comma drift across the scale. The goal here is to establish specific tonal reference points within the harmonic structure where shifts are managed intentionally, preventing excess drift without simply adding more interval generators. Instead, it’s about aligning these key points in the harmonic layout to stabilize transitions, while still allowing for tonal flexibility. While tempered systems like Miracle inherently compress drift for smoother interval alignment, a well-structured JI lattice can use defined tonal anchors to achieve stable transitions and maintain harmonic consistency across the structure. Regardless of lattice structure TRG is not just about accumulating complexity through generator expansion but rather about facilitating smooth transitions across ALL tonalities and ALL harmonies. TRG maintains the overall flow and coherence of harmonic exploration within any tuning system, tempered or even untempered.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Now, on tonality flux, hey, I get where you&#039;re coming from, and I totally agree that my initial terms and descriptions could seem mystifying, especially if they seemed to skip over the foundational concepts like tonality flux and the role of kleismas. My intent was never to &quot;reinvent the wheel&quot; but to approach tonal microvariation in a way that could enhance interpretive flexibility and compositional options essentially, as an extension rather than a replacement.  For example, my approach to TRG (Tubular Resonant Gradations) and harmonic articulation was to examine how even minor adjustments in pitch or intervallic positioning might influence resonance perception in real time, especially within non-standard lattices. Like I said before, this is composer-centered, focusing on how how composers might experience and navigate these shifts dynamically in a way that feels more tangible in application&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. I would like to see a world in where xen theory isnt 99.99% theory and 0.001%&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Now, on tonality flux, hey, I get where you&#039;re coming from, and I totally agree that my initial terms and descriptions could seem mystifying, especially if they seemed to skip over the foundational concepts like tonality flux and the role of kleismas. My intent was never to &quot;reinvent the wheel&quot; but to approach tonal microvariation in a way that could enhance interpretive flexibility and compositional options essentially, as an extension rather than a replacement.  For example, my approach to TRG (Tubular Resonant Gradations) and harmonic articulation was to examine how even minor adjustments in pitch or intervallic positioning might influence resonance perception in real time, especially within non-standard lattices. Like I said before, this is composer-centered, focusing on how how composers might experience and navigate these shifts dynamically in a way that feels more tangible in application.&amp;lt;/blockquote&amp;gt;Third:&amp;lt;blockquote&amp;gt;QIS are commas that&#039;s right yeah, while the comma is a fixed, quantifiable interval between the scales, minute, controlled adjustments in pitch that occur within a harmonic framework, often manipulating the fixed intervals established by commas.&amp;lt;/blockquote&amp;gt;Finally, I&#039;ll rewrite the glossary I did before:&amp;lt;blockquote&amp;gt;Tubular Resonant Gradations: &amp;lt;s&amp;gt;Continuous transitions between intervals in a scale that allow for smooth movement without discontinuities, enhancing the fluidity of harmonic connections. TRGs facilitate gradual pitch shifts, which are somewhat different from &#039;&#039;&#039;tonality flux&#039;&#039;&#039;, which describes subtle harmonic changes during voice leading in microtonal contexts. While both deal with smooth transitions, TRG has larger scope, therefore emphasizes the structural continuity of a scale, whereas tonality flux focuses on the movement between chords.&amp;lt;/s&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;actual music&lt;/del&gt;.&amp;lt;/blockquote&amp;gt;Third:&amp;lt;blockquote&amp;gt;QIS are commas that&#039;s right yeah, while the comma is a fixed, quantifiable interval between the scales, minute, controlled adjustments in pitch that occur within a harmonic framework, often manipulating the fixed intervals established by commas.&amp;lt;/blockquote&amp;gt;Finally, I&#039;ll rewrite the glossary I did before:&amp;lt;blockquote&amp;gt;Tubular Resonant Gradations: &amp;lt;s&amp;gt;Continuous transitions between intervals in a scale that allow for smooth movement without discontinuities, enhancing the fluidity of harmonic connections. TRGs facilitate gradual pitch shifts, which are somewhat different from &#039;&#039;&#039;tonality flux&#039;&#039;&#039;, which describes subtle harmonic changes during voice leading in microtonal contexts. While both deal with smooth transitions, TRG has larger scope, therefore emphasizes the structural continuity of a scale, whereas tonality flux focuses on the movement between chords.&amp;lt;/s&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l19&quot;&gt;Line 19:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;3. Wibblepoints:&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;3. Wibblepoints:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;These are designed reference points within a tuning or harmonic structure where slight microtonal shifts occur. Unlike typical pitch adjustments (like flattening a third in a minor chord), Wibblepoints are intentionally structured within the tuning framework. They’re designed into the lattice to give a slight “wiggle” or flexibility at specific points, which gives the tuning a more organic, adaptive sound.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;These are designed reference points within a tuning or harmonic structure where slight microtonal shifts occur. Unlike typical pitch adjustments (like flattening a third in a minor chord), Wibblepoints are intentionally structured within the tuning framework. They’re designed into the lattice to give a slight “wiggle” &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt; (hence the name) &lt;/ins&gt;or flexibility at specific points, which gives the tuning a more organic, adaptive sound.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l34&quot;&gt;Line 34:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 32:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Controlled oscillatory variations in pitch during sustained frequencies, characterized by slight deviations that enhance the texture of the sound without modifying the underlying structure of the harmonic relationships.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Controlled oscillatory variations in pitch during sustained frequencies, characterized by slight deviations that enhance the texture of the sound without modifying the underlying structure of the harmonic relationships.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;7. Stochaplum Interval Gradients: &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Discrete &lt;/del&gt;pitch adjustments &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;that reflect a random process within a microtonal system&lt;/del&gt;. Yes, I know, while the term &quot;gradient&quot; suggests variability, this refers instead to a collection of specific intervals that can be applied &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in compositional contexts&lt;/del&gt;. Each interval maintains a defined relationship to the original pitch, allowing for exploration of varied tonal interactions.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;7. Stochaplum Interval Gradients: &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Variations in pitch that introduce discrete &lt;/ins&gt;pitch adjustments &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;across intervals, useful for dynamically adjusting pitches to suit specific harmonic environments&lt;/ins&gt;. Yes, I know, while the term &quot;gradient&quot; suggests variability, this refers instead to a collection of specific intervals that can be applied&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.&lt;/ins&gt;. Each interval maintains a defined relationship to the original pitch, allowing for exploration of varied tonal interactions&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. Like for example, in 12TET system, gradually adjusting the cent value of specific intervals in a controlled way could create a smoother progression across pitches without re-tuning the whole scale. I remember seeing someone asking on XA why Stochaplum, just Stocha from &#039;&#039;&#039;stocha&#039;&#039;&#039;stic&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;8. Fritzonal-Gradient Ratios: Fixed ratios that describe the specific relationships between selected intervals in a microtonal framework. Interval-specific ratios (notably 3/7, 5/8, 13/12) that support minute pitch deviations.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;8. Fritzonal-Gradient Ratios: Fixed ratios that describe the specific relationships between selected intervals in a microtonal framework. Interval-specific ratios (notably 3/7, 5/8, 13/12) that support minute pitch deviations.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;9. Balbrations (Hyper-Dissonant Balbrations):&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Regions of intentional dissonance within a harmonic structure, often located around specific ratios like 6/5 and 11/9, which encourage a “commatic drift” between these intervals. This results in a purposeful tension that composers can use to create dynamic harmonic shifts. These &quot;balbrations&quot; are to amplify harmonic dissonance by amplifying intervalic discrepancy.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;10. Recursive Glibber Nodes:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Points in a scale that generate repeated harmonic patterns, allowing for recursive layering of tones. For instance, in a recursive pattern based on 7/4, composers can create an iterative harmonic field, building on the 7th harmonic to create complex layering effects that enhance the scale’s depth.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;11. QRLs:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Quadratic Resonant Limits describe the limits on resonance defined within a quadratic framework, specifically in 11-limit contexts where the 7-limit trithonic divergence plays a critical role. This structure enables smooth intervallic transitions and integrates unique features like the 7-limit into a lattice, fostering accessible modulation options for composers working within just intonation.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tremend</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163218&amp;oldid=prev</id>
		<title>Tremend at 06:14, 2 November 2024</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163218&amp;oldid=prev"/>
		<updated>2024-11-02T06:14:48Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 06:14, 2 November 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l29&quot;&gt;Line 29:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 29:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Converging points within a harmonic framework where multiple pathways intersect, creating complex tonal interactions and providing reference intervals to stabilize the harmonic structure.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Converging points within a harmonic framework where multiple pathways intersect, creating complex tonal interactions and providing reference intervals to stabilize the harmonic structure.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;6. Harmonic fribulations:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Controlled oscillatory variations in pitch during sustained frequencies, characterized by slight deviations that enhance the texture of the sound without modifying the underlying structure of the harmonic relationships.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7. Stochaplum Interval Gradients: Discrete pitch adjustments that reflect a random process within a microtonal system. Yes, I know, while the term &quot;gradient&quot; suggests variability, this refers instead to a collection of specific intervals that can be applied in compositional contexts. Each interval maintains a defined relationship to the original pitch, allowing for exploration of varied tonal interactions.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;8. Fritzonal-Gradient Ratios: Fixed ratios that describe the specific relationships between selected intervals in a microtonal framework. Interval-specific ratios (notably 3/7, 5/8, 13/12) that support minute pitch deviations.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tremend</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163217&amp;oldid=prev</id>
		<title>Tremend at 06:03, 2 November 2024</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163217&amp;oldid=prev"/>
		<updated>2024-11-02T06:03:25Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 06:03, 2 November 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l14&quot;&gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;blockquote&amp;gt;That&amp;#039;s a very fair critique, &amp;quot;articulation&amp;quot; is kinda misleading so I&amp;#039;ll replace &amp;quot;articulation&amp;quot; with something less ambiguous.   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;blockquote&amp;gt;That&amp;#039;s a very fair critique, &amp;quot;articulation&amp;quot; is kinda misleading so I&amp;#039;ll replace &amp;quot;articulation&amp;quot; with something less ambiguous.   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I am really grateful for &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;fact you&#039;re being constructive&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;unlike most of the server&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I appreciate that&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Since I was aiming &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;capture subtle changes &lt;/del&gt;in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pitch I &lt;/del&gt;that &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;might be perceived differently &lt;/del&gt;in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;other tuning contexts&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I&#039;ll just call it: &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/blockquote&amp;gt;Refers to deliberate harmonic shifts between different tonal axes, such as moving from a 7-limit position along a septimal kleisma to a complex 5-limit variant. Unlike micro-inflection, which suggests a subtle tonal adjustment within a single harmonic framework, axis pivoting reorients the tonal center by moving across different points within &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;lattice. Example: In a lattice&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;moving from a 7/4 interval to a nearby 5/4 by “pivoting” along a specific harmonic pathway. Different from micro-inflection, which fine-tunes pitch without moving to a new tonal axis&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;blockquote&amp;gt;2: TRGs&amp;lt;/blockquote&amp;gt;A smooth, seamless progression between adjacent intervals within a tuning system&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Imagine moving from one note &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;another in a just intonation (JI) lattice, where the ear perceives a gradual “flow” rather than a sharp jump. TRG’s function could be illustrated using a 7-limit tuning where adjacent intervals (like a 5/4 and 6/5) connect smoothly, different from tonality flux (Partch’s term) &lt;/ins&gt;in that &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;TRG can apply across single or multiple intervals &lt;/ins&gt;in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a chain, while tonality flux specifically addresses voice leading and micro-adjustments within narrow harmonic confines&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/blockquote&amp;gt;&amp;lt;blockquote&amp;gt;1&lt;/del&gt;: &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Axis Pivoting &lt;/del&gt;(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;previously Flibberous Harmonics&lt;/del&gt;)&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&amp;lt;/blockquote&amp;gt;Refers &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;deliberate harmonic shifts between different tonal axes&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;such as moving from &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7-limit position along &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;septimal kleisma &lt;/del&gt;to a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;complex 5&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;limit variant&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Unlike micro-inflection, which suggests &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;subtle tonal adjustment within &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;single &lt;/del&gt;harmonic &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;framework&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;axis pivoting reorients the tonal center by moving across different points within &lt;/del&gt;the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;lattice&lt;/del&gt;.&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;blockquote&amp;gt;2: TRGs&amp;lt;/blockquote&amp;gt;A smooth&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;seamless progression between adjacent intervals within a tuning system. Imagine moving from one note &lt;/del&gt;to &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;another in a just intonation (JI) lattice&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;where the ear perceives a gradual “flow” &lt;/del&gt;rather than a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;sharp jump&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;TRG’s function could be illustrated using a 7-limit tuning where adjacent intervals (like a 5/4 and 6&lt;/del&gt;/5&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;) connect smoothly, different from tonality flux &lt;/del&gt;(&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Partch’s term&lt;/del&gt;) &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;in that TRG can apply across single or &lt;/del&gt;multiple &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;intervals in a chain&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;while tonality flux specifically addresses voice leading &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;micro-adjustments within narrow &lt;/del&gt;harmonic &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;confines&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3. Wibblepoints&lt;/ins&gt;:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;These are designed reference points within a tuning or harmonic structure where slight microtonal shifts occur. Unlike typical pitch adjustments &lt;/ins&gt;(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;like flattening a third in a minor chord&lt;/ins&gt;)&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, Wibblepoints are intentionally structured within the tuning framework. They’re designed into the lattice &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;give a slight “wiggle” or flexibility at specific points&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;which gives the tuning &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;more organic, adaptive sound.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4. Quantum Interval Shifts (QIS):&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;QIS are microtonal adjustments or shifts in pitch within &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;scale, similar &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;commas but applied in &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;dynamic, context&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;based way&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;While &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;comma is &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;fixed, quantifiable interval shift between notes, QIS involve minute adjustments that respond to &lt;/ins&gt;harmonic &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;needs&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;tweaking intervals subtly to fit &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;surrounding context&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I admit “Quantum” is misleading since it suggests something very small and precise, like, literally quantum sized LOL&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;but here it refers &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;flexible&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;small adjustments &lt;/ins&gt;rather than &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;literal quantum mechanics. &#039;&#039;&#039;&#039;&#039;&amp;lt;u&amp;gt;Please let me know if you might have &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;clearer name for this concept&lt;/ins&gt;.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;&lt;/ins&gt;/&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;u&amp;gt;&#039;&#039;&#039;&#039;&#039;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;5&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. Fuzzle junctions &lt;/ins&gt;(&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;and points&lt;/ins&gt;)&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;:&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Converging points within a harmonic framework where &lt;/ins&gt;multiple &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;pathways intersect&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;creating complex tonal interactions &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;providing reference intervals to stabilize the &lt;/ins&gt;harmonic &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;structure&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tremend</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163073&amp;oldid=prev</id>
		<title>Tremend at 01:11, 1 November 2024</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163073&amp;oldid=prev"/>
		<updated>2024-11-01T01:11:15Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 01:11, 1 November 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l14&quot;&gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;blockquote&amp;gt;That&amp;#039;s a very fair critique, &amp;quot;articulation&amp;quot; is kinda misleading so I&amp;#039;ll replace &amp;quot;articulation&amp;quot; with something less ambiguous.   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;blockquote&amp;gt;That&amp;#039;s a very fair critique, &amp;quot;articulation&amp;quot; is kinda misleading so I&amp;#039;ll replace &amp;quot;articulation&amp;quot; with something less ambiguous.   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;I am really grateful for the fact you&#039;re being constructive, unlike most of the server. I appreciate that. Since I was aiming to capture subtle changes in pitch I that might be perceived differently in other tuning contexts. I&#039;ll just call it &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Micro-Pitch Articulation, If you have any other ideas for a name let me know&lt;/del&gt;:  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;I am really grateful for the fact you&#039;re being constructive, unlike most of the server. I appreciate that. Since I was aiming to capture subtle changes in pitch I that might be perceived differently in other tuning contexts. I&#039;ll just call it:  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Micro&lt;/del&gt;-&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Pitch Articulation refers &lt;/del&gt;to subtle&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;, adaptive pitch variations &lt;/del&gt;within a tonal &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;structure&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;which are sensitive to harmonic context and add expressive inflection &lt;/del&gt;to the &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;musical line&lt;/del&gt;. &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;This technique adjusts pitches by small fractions, creating &lt;/del&gt;a &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;more &quot;speech&lt;/del&gt;-like&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&quot; intonation—similar to the concept of dialectical intonation &lt;/del&gt;in &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;language&lt;/del&gt;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;where accent &lt;/del&gt;and &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;tone shift subtly based on emphasis or phrase structure&lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;blockquote&amp;gt;1: Axis Pivoting (previously Flibberous Harmonics):&amp;lt;/blockquote&amp;gt;Refers to deliberate harmonic shifts between different tonal axes, such as moving from a 7&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;limit position along a septimal kleisma &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a complex 5-limit variant. Unlike micro-inflection, which suggests a &lt;/ins&gt;subtle &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;tonal adjustment &lt;/ins&gt;within a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;single harmonic framework, axis pivoting reorients the &lt;/ins&gt;tonal &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;center by moving across different points within the lattice.&amp;lt;blockquote&amp;gt;2: TRGs&amp;lt;/blockquote&amp;gt;A smooth&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;seamless progression between adjacent intervals within a tuning system. Imagine moving from one note &lt;/ins&gt;to &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;another in a just intonation (JI) lattice, where &lt;/ins&gt;the &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;ear perceives a gradual “flow” rather than a sharp jump&lt;/ins&gt;. &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;TRG’s function could be illustrated using &lt;/ins&gt;a &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;7&lt;/ins&gt;-&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;limit tuning where adjacent intervals (&lt;/ins&gt;like &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a 5/4 and 6/5) connect smoothly, different from tonality flux (Partch’s term) in that TRG can apply across single or multiple intervals &lt;/ins&gt;in &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a chain&lt;/ins&gt;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;while tonality flux specifically addresses voice leading &lt;/ins&gt;and &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;micro-adjustments within narrow harmonic confines&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tremend</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163070&amp;oldid=prev</id>
		<title>Tremend at 23:12, 31 October 2024</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163070&amp;oldid=prev"/>
		<updated>2024-10-31T23:12:48Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:12, 31 October 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Hey guys! I’m sorry if this turns out pretty bad but I’m pretty tired and its 00:00 right here, but whatever. I owe you guys an apology. I&#039;ll agree its my fault for not explaining some of these terms, I can see why you think I&#039;m a troll, but would a troll really do all this? [https://docs.google.com/document/d/1bh-HMt5h9HEUdKJr4AMLIFniwtwVMKE4zvvXJe5JSWo/edit?usp=sharing I tried explaining some of these terms earlier] but it seems like I wasn&#039;t clear enough. I&#039;m sorry and I apologize, I know my english &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;isnt &lt;/del&gt;perfect but I try my best. Before I start, I gotta say, I coined these terms, I named them and I defined them, if I think theyre useful I&#039;ll coin them, no matter how silly the name (you can give me feedback or suggestions if you want), and I already was (and am) planning to write a page for each. I&#039;m hoping this will be clear anough, I tried to go for more of a &quot;composer&quot; point of view because I tried to make these terms more composer-friendly, unlike most of the wiki.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Hey guys! I’m sorry if this turns out pretty bad but I’m pretty tired and its 00:00 right here, but whatever. I owe you guys an apology. I&#039;ll agree its my fault for not explaining some of these terms, I can see why you think I&#039;m a troll, but would a troll really do all this? [https://docs.google.com/document/d/1bh-HMt5h9HEUdKJr4AMLIFniwtwVMKE4zvvXJe5JSWo/edit?usp=sharing I tried explaining some of these terms earlier] but it seems like I wasn&#039;t clear enough. I&#039;m sorry and I apologize, I know my english &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;isn&#039;t &lt;/ins&gt;perfect but I try my best. Before I start, I gotta say, I coined these terms, I named them and I defined them, if I think theyre useful I&#039;ll coin them, no matter how silly the name (you can give me feedback or suggestions if you want), and I already was (and am) planning to write a page for each. I&#039;m hoping this will be clear anough, I tried to go for more of a &quot;composer&quot; point of view because I tried to make these terms more composer-friendly, unlike most of the wiki.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;First, responding to Barium Unque on &amp;quot;wibblepoints&amp;quot; and &amp;quot;adaptive harmony&amp;quot;:&amp;lt;blockquote&amp;gt;First of all, hello, Barium&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;First, responding to Barium Unque on &amp;quot;wibblepoints&amp;quot; and &amp;quot;adaptive harmony&amp;quot;:&amp;lt;blockquote&amp;gt;First of all, hello, Barium&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l5&quot;&gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Yes, Wibblepoints could parallel how slight pitch adjustments are used in common-practice music, like the third in chords or leading tones in traditional harmony. However, Wibblepoints differ by how I defined it in previous text: they’re intentional, nuanced microtonal reference points that emerge within the &amp;#039;&amp;#039;context of non-standard scales&amp;#039;&amp;#039;. Unlike “adaptive harmony” in common practice, where tonal adjustments are largely intuitive, Wibblepoints are EXPLICTLY structured intervals within alternative tunings, they&amp;#039;re not merely interpretative, they’re designed into the lattice. I named wibblepoints like that, because as silly as it may sound, &amp;quot;wibble&amp;quot; sounds like a silly word for &amp;quot;slight bounce&amp;quot; or simply a &amp;quot;wiggle&amp;quot;.&amp;lt;/blockquote&amp;gt;Second, to Midnight Blue:&amp;lt;blockquote&amp;gt;TRG and Harmonic Flow are not the same, I already told you; the scope! But you’re absolutely right that expanding harmonic flow in a JI context can escalate complexity, especially when accumulating comma drift across the scale. The goal here is to establish specific tonal reference points within the harmonic structure where shifts are managed intentionally, preventing excess drift without simply adding more interval generators. Instead, it’s about aligning these key points in the harmonic layout to stabilize transitions, while still allowing for tonal flexibility. While tempered systems like Miracle inherently compress drift for smoother interval alignment, a well-structured JI lattice can use defined tonal anchors to achieve stable transitions and maintain harmonic consistency across the structure. Regardless of lattice structure TRG is not just about accumulating complexity through generator expansion but rather about facilitating smooth transitions across ALL tonalities and ALL harmonies. TRG maintains the overall flow and coherence of harmonic exploration within any tuning system, tempered or even untempered.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Yes, Wibblepoints could parallel how slight pitch adjustments are used in common-practice music, like the third in chords or leading tones in traditional harmony. However, Wibblepoints differ by how I defined it in previous text: they’re intentional, nuanced microtonal reference points that emerge within the &amp;#039;&amp;#039;context of non-standard scales&amp;#039;&amp;#039;. Unlike “adaptive harmony” in common practice, where tonal adjustments are largely intuitive, Wibblepoints are EXPLICTLY structured intervals within alternative tunings, they&amp;#039;re not merely interpretative, they’re designed into the lattice. I named wibblepoints like that, because as silly as it may sound, &amp;quot;wibble&amp;quot; sounds like a silly word for &amp;quot;slight bounce&amp;quot; or simply a &amp;quot;wiggle&amp;quot;.&amp;lt;/blockquote&amp;gt;Second, to Midnight Blue:&amp;lt;blockquote&amp;gt;TRG and Harmonic Flow are not the same, I already told you; the scope! But you’re absolutely right that expanding harmonic flow in a JI context can escalate complexity, especially when accumulating comma drift across the scale. The goal here is to establish specific tonal reference points within the harmonic structure where shifts are managed intentionally, preventing excess drift without simply adding more interval generators. Instead, it’s about aligning these key points in the harmonic layout to stabilize transitions, while still allowing for tonal flexibility. While tempered systems like Miracle inherently compress drift for smoother interval alignment, a well-structured JI lattice can use defined tonal anchors to achieve stable transitions and maintain harmonic consistency across the structure. Regardless of lattice structure TRG is not just about accumulating complexity through generator expansion but rather about facilitating smooth transitions across ALL tonalities and ALL harmonies. TRG maintains the overall flow and coherence of harmonic exploration within any tuning system, tempered or even untempered.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Now, on tonality flux, hey, I get where you&#039;re coming from, and I totally agree that my initial terms and descriptions could seem mystifying, especially if they seemed to skip over the foundational concepts like tonality flux and the role of kleismas. My intent was never to &quot;reinvent the wheel&quot; but to approach tonal microvariation in a way that could enhance interpretive flexibility and compositional options essentially, as an extension rather than a replacement.  For example, my approach to TRG (Tubular Resonant Gradations) and harmonic articulation was to examine how even minor adjustments in pitch or intervallic positioning might influence resonance perception in real time, especially within non-standard lattices.&amp;lt;/blockquote&amp;gt;Third:&amp;lt;blockquote&amp;gt;QIS are commas that&#039;s right yeah, while the comma is a fixed, quantifiable interval between the scales, minute, controlled adjustments in pitch that occur within a harmonic framework, often manipulating the fixed intervals established by commas.&amp;lt;/blockquote&amp;gt;Finally, I&#039;ll rewrite the glossary I did before:&amp;lt;blockquote&amp;gt;Tubular Resonant Gradations: &amp;lt;s&amp;gt;Continuous transitions between intervals in a scale that allow for smooth movement without discontinuities, enhancing the fluidity of harmonic connections. TRGs facilitate gradual pitch shifts, which are somewhat different from &#039;&#039;&#039;tonality flux&#039;&#039;&#039;, which describes subtle harmonic changes during voice leading in microtonal contexts. While both deal with smooth transitions, TRG has larger scope, therefore emphasizes the structural continuity of a scale, whereas tonality flux focuses on the movement between chords.&amp;lt;/s&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Now, on tonality flux, hey, I get where you&#039;re coming from, and I totally agree that my initial terms and descriptions could seem mystifying, especially if they seemed to skip over the foundational concepts like tonality flux and the role of kleismas. My intent was never to &quot;reinvent the wheel&quot; but to approach tonal microvariation in a way that could enhance interpretive flexibility and compositional options essentially, as an extension rather than a replacement.  For example, my approach to TRG (Tubular Resonant Gradations) and harmonic articulation was to examine how even minor adjustments in pitch or intervallic positioning might influence resonance perception in real time, especially within non-standard lattices&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;. Like I said before, this is composer-centered, focusing on how how composers might experience and navigate these shifts dynamically in a way that feels more tangible in application. I would like to see a world in where xen theory isnt 99.99% theory and 0.001%&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;actual music&lt;/ins&gt;.&amp;lt;/blockquote&amp;gt;Third:&amp;lt;blockquote&amp;gt;QIS are commas that&#039;s right yeah, while the comma is a fixed, quantifiable interval between the scales, minute, controlled adjustments in pitch that occur within a harmonic framework, often manipulating the fixed intervals established by commas.&amp;lt;/blockquote&amp;gt;Finally, I&#039;ll rewrite the glossary I did before:&amp;lt;blockquote&amp;gt;Tubular Resonant Gradations: &amp;lt;s&amp;gt;Continuous transitions between intervals in a scale that allow for smooth movement without discontinuities, enhancing the fluidity of harmonic connections. TRGs facilitate gradual pitch shifts, which are somewhat different from &#039;&#039;&#039;tonality flux&#039;&#039;&#039;, which describes subtle harmonic changes during voice leading in microtonal contexts. While both deal with smooth transitions, TRG has larger scope, therefore emphasizes the structural continuity of a scale, whereas tonality flux focuses on the movement between chords.&amp;lt;/s&amp;gt;   &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tremend</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163064&amp;oldid=prev</id>
		<title>Tremend at 22:51, 31 October 2024</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163064&amp;oldid=prev"/>
		<updated>2024-10-31T22:51:19Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 22:51, 31 October 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l3&quot;&gt;Line 3:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 3:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;First, responding to Barium Unque on &amp;quot;wibblepoints&amp;quot; and &amp;quot;adaptive harmony&amp;quot;:&amp;lt;blockquote&amp;gt;First of all, hello, Barium&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;First, responding to Barium Unque on &amp;quot;wibblepoints&amp;quot; and &amp;quot;adaptive harmony&amp;quot;:&amp;lt;blockquote&amp;gt;First of all, hello, Barium&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Yes, Wibblepoints could parallel how slight pitch adjustments are used in common-practice music, like the third in chords or leading tones in traditional harmony. However, Wibblepoints differ by how I defined it in previous text: they’re intentional, nuanced microtonal reference points that emerge within the &#039;&#039;context of non-standard scales&#039;&#039;. Unlike “adaptive harmony” in common practice, where tonal adjustments are largely intuitive, Wibblepoints are EXPLICTLY structured intervals within alternative tunings, they&#039;re not merely interpretative, they’re designed into the lattice. I named wibblepoints like that, because as silly as it may sound, &quot;wibble&quot; sounds like a silly word for &quot;slight bounce&quot; or simply a &quot;wiggle&quot;.&amp;lt;/blockquote&amp;gt;Second, to Midnight Blue:&amp;lt;blockquote&amp;gt;TRG and Harmonic Flow are not the same, I already told you; the scope! But you’re absolutely right that expanding harmonic flow in a JI context can escalate complexity, especially when accumulating comma drift across the scale. The goal here is to establish specific tonal reference points within the harmonic structure where shifts are managed intentionally, preventing excess drift without simply adding more interval generators. Instead, it’s about aligning these key points in the harmonic layout to stabilize transitions, while still allowing for tonal flexibility. While tempered systems like Miracle inherently compress drift for smoother interval alignment, a well-structured JI lattice can use defined tonal anchors to achieve stable transitions and maintain harmonic consistency across the structure. Regardless of lattice structure TRG is not just about accumulating complexity through generator expansion but rather about facilitating smooth transitions across ALL tonalities and ALL harmonies. TRG maintains the overall flow and coherence of harmonic exploration within any tuning system, tempered or even untempered.&amp;lt;/blockquote&amp;gt;Third:&amp;lt;blockquote&amp;gt;QIS are commas that&#039;s right yeah, while the comma is a fixed, quantifiable interval between the scales, minute, controlled adjustments in pitch that occur within a harmonic framework, often manipulating the fixed intervals established by commas.&amp;lt;/blockquote&amp;gt;Finally, I&#039;ll rewrite the glossary I did before:&amp;lt;blockquote&amp;gt;Tubular Resonant Gradations: Continuous transitions between intervals in a scale that allow for smooth movement without discontinuities, enhancing the fluidity of harmonic connections. TRGs facilitate gradual pitch shifts, which are somewhat different from &#039;&#039;&#039;tonality flux&#039;&#039;&#039;, &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;a term describing &lt;/del&gt;subtle harmonic changes during voice leading in microtonal contexts. While both deal with smooth transitions, TRG has larger scope, therefore emphasizes the structural continuity of a scale, whereas tonality flux focuses on the movement between chords.  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Yes, Wibblepoints could parallel how slight pitch adjustments are used in common-practice music, like the third in chords or leading tones in traditional harmony. However, Wibblepoints differ by how I defined it in previous text: they’re intentional, nuanced microtonal reference points that emerge within the &#039;&#039;context of non-standard scales&#039;&#039;. Unlike “adaptive harmony” in common practice, where tonal adjustments are largely intuitive, Wibblepoints are EXPLICTLY structured intervals within alternative tunings, they&#039;re not merely interpretative, they’re designed into the lattice. I named wibblepoints like that, because as silly as it may sound, &quot;wibble&quot; sounds like a silly word for &quot;slight bounce&quot; or simply a &quot;wiggle&quot;.&amp;lt;/blockquote&amp;gt;Second, to Midnight Blue:&amp;lt;blockquote&amp;gt;TRG and Harmonic Flow are not the same, I already told you; the scope! But you’re absolutely right that expanding harmonic flow in a JI context can escalate complexity, especially when accumulating comma drift across the scale. The goal here is to establish specific tonal reference points within the harmonic structure where shifts are managed intentionally, preventing excess drift without simply adding more interval generators. Instead, it’s about aligning these key points in the harmonic layout to stabilize transitions, while still allowing for tonal flexibility. While tempered systems like Miracle inherently compress drift for smoother interval alignment, a well-structured JI lattice can use defined tonal anchors to achieve stable transitions and maintain harmonic consistency across the structure. Regardless of lattice structure TRG is not just about accumulating complexity through generator expansion but rather about facilitating smooth transitions across ALL tonalities and ALL harmonies. TRG maintains the overall flow and coherence of harmonic exploration within any tuning system, tempered or even untempered&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Now, on tonality flux, hey, I get where you&#039;re coming from, and I totally agree that my initial terms and descriptions could seem mystifying, especially if they seemed to skip over the foundational concepts like tonality flux and the role of kleismas. My intent was never to &quot;reinvent the wheel&quot; but to approach tonal microvariation in a way that could enhance interpretive flexibility and compositional options essentially, as an extension rather than a replacement.  For example, my approach to TRG (Tubular Resonant Gradations) and harmonic articulation was to examine how even minor adjustments in pitch or intervallic positioning might influence resonance perception in real time, especially within non-standard lattices&lt;/ins&gt;.&amp;lt;/blockquote&amp;gt;Third:&amp;lt;blockquote&amp;gt;QIS are commas that&#039;s right yeah, while the comma is a fixed, quantifiable interval between the scales, minute, controlled adjustments in pitch that occur within a harmonic framework, often manipulating the fixed intervals established by commas.&amp;lt;/blockquote&amp;gt;Finally, I&#039;ll rewrite the glossary I did before:&amp;lt;blockquote&amp;gt;Tubular Resonant Gradations: &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;s&amp;gt;&lt;/ins&gt;Continuous transitions between intervals in a scale that allow for smooth movement without discontinuities, enhancing the fluidity of harmonic connections. TRGs facilitate gradual pitch shifts, which are somewhat different from &#039;&#039;&#039;tonality flux&#039;&#039;&#039;, &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;which describes &lt;/ins&gt;subtle harmonic changes during voice leading in microtonal contexts. While both deal with smooth transitions, TRG has larger scope, therefore emphasizes the structural continuity of a scale, whereas tonality flux focuses on the movement between chords.&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/s&amp;gt;  &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;===== &quot;But one useful sneak peek of that critique (this is addressed to @Tremend ) is that you do not get to call &quot;pitch microvariation&quot; or &quot;dialectical intonation&quot; (both legitimate terms) using your neologism &quot;articulation&quot;, because articulation in music is a precisely defined concept which literally comprises of non-pitch parts of the coloratura, such as dynamics, accent, timbral artifacts, sudden changes in tempo, etc..&quot; -  Midnight Blu =====&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;blockquote&amp;gt;That&#039;s a very fair critique, &quot;articulation&quot; is kinda misleading so I&#039;ll replace &quot;articulation&quot; with something less ambiguous.  &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I am really grateful for the fact you&#039;re being constructive, unlike most of the server. I appreciate that. Since I was aiming to capture subtle changes in pitch I that might be perceived differently in other tuning contexts. I&#039;ll just call it Micro-Pitch Articulation, If you have any other ideas for a name let me know: &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/blockquote&amp;gt;Micro-Pitch Articulation refers to subtle, adaptive pitch variations within a tonal structure, which are sensitive to harmonic context and add expressive inflection to the musical line. This technique adjusts pitches by small fractions, creating a more &quot;speech-like&quot; intonation—similar to the concept of dialectical intonation in language, where accent and tone shift subtly based on emphasis or phrase structure.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tremend</name></author>
	</entry>
	<entry>
		<id>https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163022&amp;oldid=prev</id>
		<title>Tremend at 07:00, 31 October 2024</title>
		<link rel="alternate" type="text/html" href="https://en.xen.wiki/index.php?title=User:Tremend/WIP&amp;diff=163022&amp;oldid=prev"/>
		<updated>2024-10-31T07:00:14Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 07:00, 31 October 2024&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Hey guys! I’m sorry if this turns out pretty bad but I’m pretty tired and its &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;10&lt;/del&gt;:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;53 &lt;/del&gt;right here, but whatever. I owe you guys an apology. I&#039;ll agree its my fault for not explaining some of these terms, I can see why you think I&#039;m a troll, but would a troll really do all this? [https://docs.google.com/document/d/1bh-HMt5h9HEUdKJr4AMLIFniwtwVMKE4zvvXJe5JSWo/edit?usp=sharing I tried explaining some of these terms earlier] but it seems like I wasn&#039;t clear enough. I&#039;m sorry and I apologize, I know my english isnt perfect but I try my best. Before I start, I gotta say, I coined these terms, I named them and I defined them, if I think theyre useful I&#039;ll coin them, no matter how silly the name (you can give me feedback or suggestions if you want), and I already was (and am) planning to write a page for each. I&#039;m hoping this will be clear anough, I tried to go for more of a &quot;composer&quot; point of view because I tried to make these terms more composer-friendly, unlike most of the wiki.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Hey guys! I’m sorry if this turns out pretty bad but I’m pretty tired and its &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;00&lt;/ins&gt;:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;00 &lt;/ins&gt;right here, but whatever. I owe you guys an apology. I&#039;ll agree its my fault for not explaining some of these terms, I can see why you think I&#039;m a troll, but would a troll really do all this? [https://docs.google.com/document/d/1bh-HMt5h9HEUdKJr4AMLIFniwtwVMKE4zvvXJe5JSWo/edit?usp=sharing I tried explaining some of these terms earlier] but it seems like I wasn&#039;t clear enough. I&#039;m sorry and I apologize, I know my english isnt perfect but I try my best. Before I start, I gotta say, I coined these terms, I named them and I defined them, if I think theyre useful I&#039;ll coin them, no matter how silly the name (you can give me feedback or suggestions if you want), and I already was (and am) planning to write a page for each. I&#039;m hoping this will be clear anough, I tried to go for more of a &quot;composer&quot; point of view because I tried to make these terms more composer-friendly, unlike most of the wiki.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;First, responding to Barium Unque on &amp;quot;wibblepoints&amp;quot; and &amp;quot;adaptive harmony&amp;quot;:&amp;lt;blockquote&amp;gt;First of all, hello, Barium&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;First, responding to Barium Unque on &amp;quot;wibblepoints&amp;quot; and &amp;quot;adaptive harmony&amp;quot;:&amp;lt;blockquote&amp;gt;First of all, hello, Barium&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Yes, Wibblepoints could parallel how slight pitch adjustments are used in common-practice music, like the third in chords or leading tones in traditional harmony. However, Wibblepoints differ by how I defined it in previous text: they’re intentional, nuanced microtonal reference points that emerge within the &#039;&#039;context of non-standard scales&#039;&#039;. Unlike “adaptive harmony” in common practice, where tonal adjustments are largely intuitive, Wibblepoints are EXPLICTLY structured intervals within alternative tunings, they&#039;re not merely interpretative, they’re designed into the lattice. I named wibblepoints like that, because as silly as it may sound, &quot;wibble&quot; sounds like a silly word for &quot;slight bounce&quot; or simply a &quot;wiggle&quot;.&amp;lt;/blockquote&amp;gt;Second, to Midnight Blue:&amp;lt;blockquote&amp;gt;TRG and Harmonic Flow are not the same, I already told you; the scope! But you’re absolutely right that expanding harmonic flow in a JI context can escalate complexity, especially when accumulating comma drift across the scale. The goal here is to establish specific tonal reference points within the harmonic structure where shifts are managed intentionally, preventing excess drift without simply adding more interval generators. Instead, it’s about aligning these key points in the harmonic layout to stabilize transitions, while still allowing for tonal flexibility. While tempered systems like Miracle inherently compress drift for smoother interval alignment, a well-structured JI lattice can use defined tonal anchors to achieve stable transitions and maintain harmonic consistency across the structure. Regardless of lattice structure TRG is not just about accumulating complexity through generator expansion but rather about facilitating smooth transitions across ALL tonalities and ALL harmonies. TRG maintains the overall flow and coherence of harmonic exploration within any tuning system, tempered or even untempered.&amp;lt;/blockquote&amp;gt;Third:&amp;lt;blockquote&amp;gt;QIS are commas that&#039;s right yeah, while the comma is a fixed, quantifiable interval between the scales, minute, controlled adjustments in pitch that occur within a harmonic framework, often manipulating the fixed intervals established by commas.&amp;lt;/blockquote&amp;gt;Finally, I&#039;ll rewrite the glossary:&amp;lt;blockquote&amp;gt;Tubular Resonant Gradations: Continuous transitions between intervals in a scale that allow for smooth movement without discontinuities, enhancing the fluidity of harmonic connections. TRGs facilitate gradual pitch shifts, which are somewhat different from &#039;&#039;&#039;tonality flux&#039;&#039;&#039;, a term describing subtle harmonic changes during voice leading in microtonal contexts. While both deal with smooth transitions, TRG has larger scope, therefore emphasizes the structural continuity of a scale, whereas tonality flux focuses on the movement between chords.  &lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Yes, Wibblepoints could parallel how slight pitch adjustments are used in common-practice music, like the third in chords or leading tones in traditional harmony. However, Wibblepoints differ by how I defined it in previous text: they’re intentional, nuanced microtonal reference points that emerge within the &#039;&#039;context of non-standard scales&#039;&#039;. Unlike “adaptive harmony” in common practice, where tonal adjustments are largely intuitive, Wibblepoints are EXPLICTLY structured intervals within alternative tunings, they&#039;re not merely interpretative, they’re designed into the lattice. I named wibblepoints like that, because as silly as it may sound, &quot;wibble&quot; sounds like a silly word for &quot;slight bounce&quot; or simply a &quot;wiggle&quot;.&amp;lt;/blockquote&amp;gt;Second, to Midnight Blue:&amp;lt;blockquote&amp;gt;TRG and Harmonic Flow are not the same, I already told you; the scope! But you’re absolutely right that expanding harmonic flow in a JI context can escalate complexity, especially when accumulating comma drift across the scale. The goal here is to establish specific tonal reference points within the harmonic structure where shifts are managed intentionally, preventing excess drift without simply adding more interval generators. Instead, it’s about aligning these key points in the harmonic layout to stabilize transitions, while still allowing for tonal flexibility. While tempered systems like Miracle inherently compress drift for smoother interval alignment, a well-structured JI lattice can use defined tonal anchors to achieve stable transitions and maintain harmonic consistency across the structure. Regardless of lattice structure TRG is not just about accumulating complexity through generator expansion but rather about facilitating smooth transitions across ALL tonalities and ALL harmonies. TRG maintains the overall flow and coherence of harmonic exploration within any tuning system, tempered or even untempered.&amp;lt;/blockquote&amp;gt;Third:&amp;lt;blockquote&amp;gt;QIS are commas that&#039;s right yeah, while the comma is a fixed, quantifiable interval between the scales, minute, controlled adjustments in pitch that occur within a harmonic framework, often manipulating the fixed intervals established by commas.&amp;lt;/blockquote&amp;gt;Finally, I&#039;ll rewrite the glossary &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;I did before&lt;/ins&gt;:&amp;lt;blockquote&amp;gt;Tubular Resonant Gradations: Continuous transitions between intervals in a scale that allow for smooth movement without discontinuities, enhancing the fluidity of harmonic connections. TRGs facilitate gradual pitch shifts, which are somewhat different from &#039;&#039;&#039;tonality flux&#039;&#039;&#039;, a term describing subtle harmonic changes during voice leading in microtonal contexts. While both deal with smooth transitions, TRG has larger scope, therefore emphasizes the structural continuity of a scale, whereas tonality flux focuses on the movement between chords.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/blockquote&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Tremend</name></author>
	</entry>
</feed>