Heptatonic notation: Difference between revisions
Wikispaces>FREEZE No edit summary |
Add {{who}} and {{Notation navbox}} |
||
| Line 1: | Line 1: | ||
=Purpose and Principles= | ==Purpose and Principles== | ||
I 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<sup>[[Template:Who|who?]]</sup> 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: | ||
<ul><li>It should be nearly consistent with standard modern music notation.</li><li>It should be consistent between different edos.</li><li>It should be as non-arbitrary as possible.</li></ul> | <ul><li>It should be nearly consistent with standard modern music notation.</li><li>It should be consistent between different edos.</li><li>It should be as non-arbitrary as possible.</li></ul> | ||
| Line 8: | Line 8: | ||
<ul><li>For each edo, nominals are assigned to the first mode of the [[Maximal_evenness|maximally even]] heptatonic [[MOSScales|MOS]].</li></ul> | <ul><li>For each edo, nominals are assigned to the first mode of the [[Maximal_evenness|maximally even]] heptatonic [[MOSScales|MOS]].</li></ul> | ||
=Nominals= | ==Nominals== | ||
By finding these particular MOS scales in each edo, we can find that they, and thus that edo's nominals, follow a number of patterns: | By finding these particular MOS scales in each edo, we can find that they, and thus that edo's nominals, follow a number of patterns: | ||
| Line 15: | Line 15: | ||
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: | ||
| Line 32: | Line 32: | ||
(To be continued. Feedback welcome, as I'm sure there are ways to make it better!) | (To be continued. Feedback welcome, as I'm sure there are ways to make it better!) | ||
=Scores and score-videos= | ==Scores and score-videos== | ||
[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 | ||
{{Notation navbox}} | |||
[[Category:notation]] | [[Category:notation]] | ||
[[Category:Pages with unattributed statements]] | |||