Interseptimal interval: Difference between revisions

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* semifourth = plus-second (+2nd or +2)

* semisixth = plus-third (+3rd or +3)

* semioctave = plus-fourth (+4th or +4)

* semitenth = plus-fifth (+5th or +5)

* semitwelfth = plus-sixth (+6th or +6)

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=== 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]].

{| class="wikitable"

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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]].

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 ==

@@ Line 65: / Line 65: @@
 * semifourth = plus-second (+2nd or +2)
 * semisixth = plus-third (+3rd or +3)
-* semioctave = plus-fourth (+4th or +4)
 * semitenth = plus-fifth (+5th or +5)
 * semitwelfth = plus-sixth (+6th or +6)
@@ Line 79: / Line 78: @@
 === 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]].
 {| class="wikitable"
@@ Line 217: / Line 216: @@
 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&nbsp;3s]] of the diatonic mos [[5L&nbsp;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 ==