Pinetone: Difference between revisions

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=== Intervals and ~~triads~~ ===

=== Intervals and chords ===

The following table gives all intervals of the porcutone octatonic.

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We could alternatively treat the porcutone octatonic as a bebop scale, using 2-step stacked tetrads. Since the scale has 8 notes, there are only 2 different 2-step stacked tetrads. In 12edo these are the major add 6 and the fully diminished tetrads. A meantone C major add 6 tunes to 45:55:66:75 in porcutone. Using the G♯, as in the left-handed porcutone octatonic, the G♯ diminished tetrad tunes to 33:40:48:55 (when B is the bottom note). Using the A♭, as in the right-handed porcutone octatonic, the B diminished tetrad also tunes to 33:40:48:55 (when D is the bottom note).

Unlike the Porcutone diatonic, and chromatic scales, the porcutone octatonic is chiral, and is therefore not a step-nested scale. As we can see, it is more complex than the porcutone diatonic. The Porcutone pentatonic and diatonic scales is also wakalix / PWF, and it can be seen that the porcutone octatonic is more complex than the porcutone pentatonic as well. It is left as an excercise for the reader to determine the complexity of the porcutone chromatic, and compare that to the porcutone octatonic.

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-=== Intervals and triads ===
+=== Intervals and chords ===
 The following table gives all intervals of the porcutone octatonic.
 {| class="wikitable"
@@ Line 1,670: / Line 1,670: @@
 |12:15:20
 |}
+We could alternatively treat the porcutone octatonic as a bebop scale, using 2-step stacked tetrads. Since the scale has 8 notes, there are only 2 different 2-step stacked tetrads. In 12edo these are the major add 6 and the fully diminished tetrads. A meantone C major add 6 tunes to 45:55:66:75 in porcutone. Using the G♯, as in the left-handed porcutone octatonic, the G♯ diminished tetrad tunes to 33:40:48:55 (when B is the bottom note). Using the A♭, as in the right-handed porcutone octatonic, the B diminished tetrad also tunes to 33:40:48:55 (when D is the bottom note).
 Unlike the Porcutone diatonic, and chromatic scales, the porcutone octatonic is chiral, and is therefore not a step-nested scale. As we can see, it is more complex than the porcutone diatonic. The Porcutone pentatonic and diatonic scales is also wakalix / PWF, and it can be seen that the porcutone octatonic is more complex than the porcutone pentatonic as well. It is left as an excercise for the reader to determine the complexity of the porcutone chromatic, and compare that to the porcutone octatonic.