Hemifourths: Difference between revisions

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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:
* For the temperament, see [[Diaschismic family #Hemifourths]].
* For the MOS scale, see [[5L 4s]].


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{{Disambiguation}}
 
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
 
[[File:hemifourths.PNG|alt=hemifourths.PNG|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|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] {{dead link}}
 
[[Category:9-tone]]
[[Category:generator]]
[[Category:interval]]
[[category:todo:review]]