Diatonic range: Difference between revisions

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m intro wording
Xenwolf (talk | contribs)
complete definition of intervals M2, m2, and A1 in pseudo code
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The '''diatonic range''' is a size range of the [[fifth]] interval defined by the bounds 4\7 and 3\5.
The '''diatonic range''' is a size range of the [[fifth]] interval defined by the bounds 4\7 and 3\5.


Stacked ([[octave-reduced]]) fifths (<code>R5</code>) within this range build scales with distinguishable "diatonic whole tones" (<code>2*R5 - P8</code>), "diatonic semitones" (<code>3*P8 - 5*R5</code>), and "chromatic semitones" (<code>M2 - m2</code>) of a non-negative size. Some examples:
Stacked ([[octave-reduced]]) fifths (<code>R5</code>) within this range build scales with distinguishable  
* "diatonic whole tones" (<code>M2 := 2*R5 - P8</code>),  
* "diatonic semitones" (<code>m2 := 3*P8 - 5*R5</code>), and  
* "chromatic semitones" (<code>A1 := M2 - m2</code>)  
of a non-negative size. Some examples:


{| class="wikitable center-all"
{| class="wikitable center-all"