Fokker chord
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2014-04-02 12:41:05 UTC.
- The original revision id was 500101846.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
[[toc|flat]] By a //Fokker chord// is meant a chord which is also a strongly epimorphic Fokker block. Such chords belong to an [[Fokker blocks#First definition of a Fokker block|arena]] of related chords, which includes its various inversions, but other chords besides. Often a Fokker chord is a wakalix, so that it belongs to more than one arena. =5-limit triads= The major and minor 5-limit triads are wakalixes; in terms of the [[Fokker blocks#The Fokblock function and modal UDP notation|Fokblock function]] the major triad in root position can be denoted by Fokblock([16/15, 10/9], [0, 1]), Fokblock([[25/24, 10/9], [2, 0]) or Fokblock([25/24, 16/15], [1, 0]) and the minor triad Fokblock([16/15, 10/9], [1, 0]), Fokblock([25/24, 10/9], [1, 0]), or Fokblock([25/24, 16/15], [0, 0]). Each of these arenas contain the three inversions of both the major and minor triads, plus the inversions of another triad. In the case of the [16/15, 10/9] arena, that's the qunital triad, in its quintal (1-9/8-3/2) and quartal (1-4/3-16/9) forms. [25/24, 10/9] adds the three inversions of the diminished triad, 1-6/5-5/3, and [25/24, 16/15] adds the three inversions of the augmented triad, 1-5/4-8/5.
Original HTML content:
<html><head><title>Fokker chord</title></head><body><!-- ws:start:WikiTextTocRule:2:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:2 --><!-- ws:start:WikiTextTocRule:3: --><a href="#x5-limit triads">5-limit triads</a><!-- ws:end:WikiTextTocRule:3 --><!-- ws:start:WikiTextTocRule:4: --> <!-- ws:end:WikiTextTocRule:4 --><br /> By a <em>Fokker chord</em> is meant a chord which is also a strongly epimorphic Fokker block. Such chords belong to an <a class="wiki_link" href="/Fokker%20blocks#First definition of a Fokker block">arena</a> of related chords, which includes its various inversions, but other chords besides. Often a Fokker chord is a wakalix, so that it belongs to more than one arena.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x5-limit triads"></a><!-- ws:end:WikiTextHeadingRule:0 -->5-limit triads</h1> The major and minor 5-limit triads are wakalixes; in terms of the <a class="wiki_link" href="/Fokker%20blocks#The Fokblock function and modal UDP notation">Fokblock function</a> the major triad in root position can be denoted by Fokblock([16/15, 10/9], [0, 1]), Fokblock([[25/24, 10/9], [2, 0]) or Fokblock([25/24, 16/15], [1, 0]) and the minor triad Fokblock([16/15, 10/9], [1, 0]), Fokblock([25/24, 10/9], [1, 0]), or Fokblock([25/24, 16/15], [0, 0]). Each of these arenas contain the three inversions of both the major and minor triads, plus the inversions of another triad. In the case of the [16/15, 10/9] arena, that's the qunital triad, in its quintal (1-9/8-3/2) and quartal (1-4/3-16/9) forms. [25/24, 10/9] adds the three inversions of the diminished triad, 1-6/5-5/3, and [25/24, 16/15] adds the three inversions of the augmented triad, 1-5/4-8/5.</body></html>