Pinetone: Difference between revisions

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Unlike the Pinetone diatonic, and chromatic scales, the Pinetone harmonic octatonics are chiral, and is therefore not step-nested scales. As we can see, they more complex than the Pinetone diatonic. The Pinetone pentatonic and diatonic scales is also wakalix / PWF, and it can be seen that the Pinetone harmonic octatonics are more complex than the Pinetone pentatonic as well. It is left as an exercise for the reader to determine the complexity of the Pinetone chromatic, and compare that to the Pinetone harmonic octatonics.

=== Pinetone ~~Diminished~~ octatonic ===

=== Pinetone diminished octatonic ===

Modifying the right or left-handed Pinetone octatonic by switching the order of adjacent pairs of large and medium steps, i.e., by modifying steps of the scale by the L-M chroma - the difference between the large and medium steps - leads to similar Porcupine[8] detempers. Since L and M temper together under Porcupine tempering, any resulting scale tempers to Porcupine[8] just as before, but the scale it tempers to under Diminished and Father temperaments are modified.

@@ Line 1,848: / Line 1,848: @@
 Unlike the Pinetone diatonic, and chromatic scales, the Pinetone harmonic octatonics are chiral, and is therefore not step-nested scales. As we can see, they more complex than the Pinetone diatonic. The Pinetone pentatonic and diatonic scales is also wakalix / PWF, and it can be seen that the Pinetone harmonic octatonics are more complex than the Pinetone pentatonic as well. It is left as an exercise for the reader to determine the complexity of the Pinetone chromatic, and compare that to the Pinetone harmonic octatonics.
-=== Pinetone Diminished octatonic ===
+=== Pinetone diminished octatonic ===
 Modifying the right or left-handed Pinetone octatonic by switching the order of adjacent pairs of large and medium steps, i.e., by modifying steps of the scale by the L-M chroma - the difference between the large and medium steps - leads to similar Porcupine[8] detempers. Since L and M temper together under Porcupine tempering, any resulting scale tempers to Porcupine[8] just as before, but the scale it tempers to under Diminished and Father temperaments are modified.