Pinetone: Difference between revisions

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Note that the Pinetone melodic major includes a neutral triad 18:22:27 on the root of the Mixolydian symmetric minor, and the Pinetone melodic minor includes it's inverse on the root of the Dorian bright major, a flavour of triad not available in the Pinetone diatonic. Note also though the only one major and one minor triad are available in each of these scales, as opposed to the two each available in the Pinetone diatonic, hence the labelling of these scales as for melodic purposes.

Note that the Pinetone melodic major includes a neutral triad 18:22:27 on the root of the Mixolydian symmetric minor, and the Pinetone melodic minor includes it's inverse on the root of the Dorian bright major, a flavour of triad not available in the Pinetone diatonic.

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|+Table 4.5. Modes of the Ptolemismic Pinetone Karakalian bright minor

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Of all Pinetone heptatonic scales, Ryonian ♯2♯3♯4 is the brightest, and Phyradian ♭5♭6♭7 is the darkest. Note also that Ryonian ♯2♯3♯4 begins with the harmonic series segment 8:9:10:11:12. In fact, remarkably, the entire mode can be represented as the harmonic series segment 24:27:30:33:36:40:44:48. Note that the Phyradian dark minor and the Karakalian bright minors are tetrachordal, along with the Pinetone diatonic.

None of these other diatonic scales are useful as a basis for tonal harmony, since for all of these scales the only two major or minor chords are part of the same minor 7 chord. Instead they may be employed for melodic reasons, or as alternate modes to use with the minor 7 chord.

None of these other diatonic scales are useful as a basis for tonal harmony, since for all of these scales the only two major or minor chords are part of the same minor 7 chord. Instead they may be employed for melodic reasons, as alternate modes to use with the minor 7 chord, or for the harmonic series segment 8:9:10:11:12, etc.

== Pinetone octatonic scales ==

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-Note that the Pinetone melodic major includes a neutral triad 18:22:27 on the root of the Mixolydian symmetric minor, and the Pinetone melodic minor includes it's inverse on the root of the Dorian bright major, a flavour of triad not available in the Pinetone diatonic. Note also though the only one major and one minor triad are available in each of these scales, as opposed to the two each available in the Pinetone diatonic, hence the labelling of these scales as for melodic purposes.
+Note that the Pinetone melodic major includes a neutral triad 18:22:27 on the root of the Mixolydian symmetric minor, and the Pinetone melodic minor includes it's inverse on the root of the Dorian bright major, a flavour of triad not available in the Pinetone diatonic.
 {| class="wikitable"
 |+Table 4.5. Modes of the Ptolemismic Pinetone Karakalian bright minor
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 Of all Pinetone heptatonic scales, Ryonian ♯2♯3♯4 is the brightest, and Phyradian ♭5♭6♭7 is the darkest. Note also that Ryonian ♯2♯3♯4 begins with the harmonic series segment 8:9:10:11:12. In fact, remarkably, the entire mode can be represented as the harmonic series segment 24:27:30:33:36:40:44:48. Note that the Phyradian dark minor and the Karakalian bright minors are tetrachordal, along with the Pinetone diatonic.
-None of these other diatonic scales are useful as a basis for tonal harmony, since for all of these scales the only two major or minor chords are part of the same minor 7 chord. Instead they may be employed for melodic reasons, or as alternate modes to use with the minor 7 chord.
+None of these other diatonic scales are useful as a basis for tonal harmony, since for all of these scales the only two major or minor chords are part of the same minor 7 chord. Instead they may be employed for melodic reasons, as alternate modes to use with the minor 7 chord, or for the harmonic series segment 8:9:10:11:12, etc.
 == Pinetone octatonic scales ==