Hemifourths
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- This revision was by author xenwolf and made on 2011-03-04 04:29:01 UTC.
- The original revision id was 207243042.
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The hemi-fourth interval (around 250 cents) when taken as a generator, and an octave is taken as the generator, a 9-note scale is possible: LsLsLsLsL It is an [[MOSScales|MOS scale]], of [[MOSNamingScheme|type]] "unfair bug", with SEVEN triads, subminor or supermajor. Holy holes. If the generator is around 248-250 cents, we might take this as representing a MOS in [[The Archipelago|barbados temperament]]. **The family.** A map of 3 levels of the scale tree between g=1/5 and 1/4 [[image:hemifourths.PNG]] So, to the right of 2/9 lie "fair" 9-note scales, and to the left lie the "unfair" ones. The easy way to think about this: if the generator is closer to 5 in the denominator, then the 5 intervals will be bigger. **Examples.** voice-leading sketch in 24-EDO's flavor of hemifourths[9] [[file:qt mode chord prog.mp3]] **Music.** [[http://www.soundclick.com/bands/songInfo.cfm?bandID=376205&songID=5327098|Entropy, the Grandfather of Wind]] (broken link. 2011-03-04) in 14-EDO's flavor of hemifourths[9]
Original HTML content:
<html><head><title>hemifourths</title></head><body>The hemi-fourth interval (around 250 cents) when taken as a generator, and an octave is taken as the generator, a 9-note scale is possible:<br />
<br />
LsLsLsLsL<br />
<br />
It is an <a class="wiki_link" href="/MOSScales">MOS scale</a>, of <a class="wiki_link" href="/MOSNamingScheme">type</a> "unfair bug", with SEVEN triads, subminor or supermajor. Holy holes. If the generator is around 248-250 cents, we might take this as representing a MOS in <a class="wiki_link" href="/The%20Archipelago">barbados temperament</a>.<br />
<br />
<strong>The family.</strong><br />
<br />
A map of 3 levels of the scale tree between g=1/5 and 1/4<br />
<!-- ws:start:WikiTextLocalImageRule:0:<img src="/file/view/hemifourths.PNG/51824077/hemifourths.PNG" alt="" title="" /> --><img src="/file/view/hemifourths.PNG/51824077/hemifourths.PNG" alt="hemifourths.PNG" title="hemifourths.PNG" /><!-- ws:end:WikiTextLocalImageRule:0 --><br />
<br />
So, to the right of 2/9 lie "fair" 9-note scales, and to the left lie the "unfair" ones. The easy way to think about this: if the generator is closer to 5 in the denominator, then the 5 intervals will be bigger.<br />
<br />
<strong>Examples.</strong><br />
<br />
voice-leading sketch in 24-EDO's flavor of hemifourths[9]<br />
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<br />
<strong>Music.</strong><br />
<br />
<a class="wiki_link_ext" href="http://www.soundclick.com/bands/songInfo.cfm?bandID=376205&songID=5327098" rel="nofollow">Entropy, the Grandfather of Wind</a> (broken link. 2011-03-04) in 14-EDO's flavor of hemifourths[9]</body></html>