Heptatonic notation: Difference between revisions

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==Purpose and Principles==
== Purpose and Principles ==
I{{who}} developed '''heptatonic notation''' in order to notate my microtonal music, which is written in a number of different [[EDO|edos]]. Some principles were followed in the development this [[notation]] system:
I{{who}} developed '''heptatonic notation''' in order to notate my microtonal music, which is written in a number of different [[EDO|edos]]. Some principles were followed in the development this [[notation]] system:


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These periodic patterns occur because the sum of step sizes must equal the edo's order, and for any (L, s) MOS there is only one scale-step pattern.
These periodic patterns occur because the sum of step sizes must equal the edo's order, and for any (L, s) MOS there is only one scale-step pattern.


==Accidentals==
== Accidentals ==
For edos 7(n-1)+1 to 7n, the large step is n edo-intervals, so n-1 unique accidentals of each flat/sharp are required, plus a natural accidental. This ensures that the maximum or minimum accidentals always modify a nominal to a neighboring nominal, as in the double-flats and double-sharps of standard notation. I chose the following twenty-five accidentals to be usable with the [http://www.ekmelic-music.org/en/extra/ekmelily.htm Ekmelily] extension to [http://lilypond.org/ Lilypond], which I use to notate my music:
For edos 7(n-1)+1 to 7n, the large step is n edo-intervals, so n-1 unique accidentals of each flat/sharp are required, plus a natural accidental. This ensures that the maximum or minimum accidentals always modify a nominal to a neighboring nominal, as in the double-flats and double-sharps of standard notation. I chose the following twenty-five accidentals to be usable with the [http://www.ekmelic-music.org/en/extra/ekmelily.htm Ekmelily] extension to [http://lilypond.org/ Lilypond], which I use to notate my music:


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[https://www.youtube.com/watch?v=jagxI__W-Mg Palinkalin Viharo (Flowers in the Mist)] by Jake Huryn ([https://drive.google.com/file/d/0BwJHTddN0-rdUFdwMEtfYnFJZ0E/view Score]): 22edo
[https://www.youtube.com/watch?v=jagxI__W-Mg Palinkalin Viharo (Flowers in the Mist)] by Jake Huryn ([https://drive.google.com/file/d/0BwJHTddN0-rdUFdwMEtfYnFJZ0E/view Score]): 22edo


 
{{Navbox notation}}
{{Notation navbox}}


[[Category:notation]]
[[Category:notation]]