Hemifourths: Difference between revisions
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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]]. | 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 | A map of 3 levels of the scale tree between g=1/5 and 1/4 | ||
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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. | 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] | voice-leading sketch in 24-EDO's flavor of hemifourths[9] | ||
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[[:File:qt_mode_chord_prog.mp3|qt mode chord prog.mp3]] | [[: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:9-tone]] | ||
[[Category:generator]] | [[Category:generator]] | ||
[[Category:interval]] | [[Category:interval]] | ||
[[category:todo:review]] | |||
Revision as of 03:35, 6 December 2018
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 MOS scale, of 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 barbados temperament.
The family
A map of 3 levels of the scale tree between g=1/5 and 1/4
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]
Music
Entropy, the Grandfather of Wind (broken link. 2011-03-04) in 14-EDO's flavor of hemifourths[9] [dead link]