Interseptimal interval: Difference between revisions
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* semitenth/cocytic = fifth-inter-sixth (5×6) | * semitenth/cocytic = fifth-inter-sixth (5×6) | ||
* semitwelfth/ouranic = sixth-inter-seventh (6×7) | * semitwelfth/ouranic = sixth-inter-seventh (6×7) | ||
=== "Plus" names === | |||
To combine intuitiveness with conciseness, Kite Giedraitis has proposed using "plus" to indicate interordinals. | |||
* semifourth = plus-second (+2nd or +2) | |||
* semisixth = plus-third (+3rd or +3) | |||
* semitenth = plus-fifth (+5th or +5) | |||
* semitwelfth = plus-sixth (+6th or +6) | |||
See [[User:TallKite/Midpoints]] (work in progress). | |||
=== Decimal ordinal names === | === Decimal ordinal names === | ||
CompactStar has proposed names using decimal ordinals to indicate how these fall between diatonic categories: | CompactStar has proposed names using decimal ordinals to indicate how these fall between diatonic categories: | ||
* semifourth/chthonic = 2.5th | * semifourth/chthonic = 2.5th (probably pronounced "two point fifth") | ||
* semisixth/naiadic = 3.5th | * semisixth/naiadic = 3.5th | ||
* semitenth/cocytic = 5.5th | * semitenth/cocytic = 5.5th | ||
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=== Within a pentatonic framework === | === Within a pentatonic framework === | ||
A pentatonic framework, as elucidated in Kite Giedraitis's [http://www.tallkite.com/AlternativeTunings.html Alternative Tuning guide], is far more amenable to interseptimal intervals than the traditional Western heptatonic framework. | A pentatonic framework, as elucidated in Kite Giedraitis's [http://www.tallkite.com/AlternativeTunings.html Alternative Tuning guide], is far more amenable to interseptimal intervals than the traditional Western heptatonic framework. Such a framework is also discussed on the page [[Pentatonic Functional Just System]]. | ||
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Interseptimal intervals are now easily named. However there are now hard-to-name "interpental" intervals which would be neutral intervals in the heptatonic framework, containing such ratios as 12/11, 11/9, etc. This is because interseptimal intervals are the neutral intervals with respect to the parent [[mos]] [[2L 3s]] of the diatonic mos [[5L 2s]]. | Interseptimal intervals are now easily named. However there are now hard-to-name "interpental" intervals which would be neutral intervals in the heptatonic framework, containing such ratios as 12/11, 11/9, etc. This is because interseptimal intervals are the neutral intervals with respect to the parent [[mos]] [[2L 3s]] of the diatonic mos [[5L 2s]]. | ||
Thus composing in a pentatonic framework may allow interseptimal intervals to play much more pivotal roles than usual. | |||
== Examples == | == Examples == | ||