Diaharmonic
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author MasonGreen1 and made on 2017-01-26 21:55:42 UTC.
- The original revision id was 604895391.
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Original Wikitext content:
The **Diaharmonic** collection is the name proposed by Mason Green for a 9-note scale with step pattern L L S S L L L S S. It is a diatonic scale where each semitone is divided equally in half. It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic tetrachords "fuse together" nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a **diaharmonic pentachord** (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale. [[19edo]] works extremely well as a tuning for the diaharmonic scale (in which it has step sizes 3 3 1 1 3 3 3 1 1). However, there are other options which include 24edo and 43edo. The 19edo diaharmonic scale is interesting because it can combine the melodic advantages of neomedieval systems (like [[17edo]] and Pythagorean) with the harmonic advantages of a meantone system. We can do this by shrinking the diatonic semitone in a melodic line while expanding the preceding whole tone. Essentially in major keys, we have a diatonic scale with two extra notes, one which can function either as an "ascending/augmented third" or a "descending/diminished" fourth, and the other which can function either as an "ascending/augmented seventh" or "descending/diminished" octave.
Original HTML content:
<html><head><title>Diaharmonic</title></head><body>The <strong>Diaharmonic</strong> collection is the name proposed by Mason Green for a 9-note scale with step pattern L L S S L L L S S. It is a diatonic scale where each semitone is divided equally in half.<br /> <br /> It can also be thought of as a cross between two of the three ancient Greek genera (diatonic and enharmonic) since the diatonic and enharmonic tetrachords "fuse together" nicely. The two whole tones of the diatonic tetrachord nest inside the major third of the enharmonic one, while the two quarter tones of the enharmonic tetrachord fit into the semitone of the diatonic one. This gives us a <strong>diaharmonic pentachord</strong> (portmanteau of diatonic and enharmonic), which can then be used to construct a 9-note scale.<br /> <br /> <a class="wiki_link" href="/19edo">19edo</a> works extremely well as a tuning for the diaharmonic scale (in which it has step sizes 3 3 1 1 3 3 3 1 1). However, there are other options which include 24edo and 43edo.<br /> <br /> The 19edo diaharmonic scale is interesting because it can combine the melodic advantages of neomedieval systems (like <a class="wiki_link" href="/17edo">17edo</a> and Pythagorean) with the harmonic advantages of a meantone system. We can do this by shrinking the diatonic semitone in a melodic line while expanding the preceding whole tone. Essentially in major keys, we have a diatonic scale with two extra notes, one which can function either as an "ascending/augmented third" or a "descending/diminished" fourth, and the other which can function either as an "ascending/augmented seventh" or "descending/diminished" octave.</body></html>