Interseptimal interval: Difference between revisions

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=== 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]].


So composing in a pentatonic framework may allow interseptimal intervals to play much more pivotal roles than usual.
Thus composing in a pentatonic framework may allow interseptimal intervals to play much more pivotal roles than usual.


== Examples ==
== Examples ==