159edo/Notation: Difference between revisions

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Combined paragraphs in the Combined Accidentals section of the page
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=== Septimal commas and darts ===
=== Septimal commas and darts ===


Glyphs for septimal commas or darts are alternatively used: they are not combined in this system.
Glyphs for septimal commas and darts are also used, but are generally not combined with each other except in certain musical contexts such as modulation.  That said, if this system were to be extended to the 13-limit, the septimal comma glyphs would likely be combined with the 13-limit glyphs due to both 7-limit and 13-limit intervals having close connections to trientones (one third tones).


==== Septimal commas ====
==== Septimal commas ====
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== Combined accidentals ==
== Combined accidentals ==


The following table illustrates modification of a given tone by accidentals up to 30 steps of 159edo. The terms in the glyph name sections reflect absolute displacements, <code>–</code> means down, <code>+</code> means up.  Furthermore, symbols with multiple names will have both names sharing the same cell.  The choice between the primary and secondary glyphs for any given step is often determined both by absolute TE error and by harmonic and melodic context for any given score, particularly as the primary and secondary glyphs usually reflect different intervals in Just Intonation.  For reference, the just whole tone interval, [[9/8]], is mapped to 27 steps of 159 edo (or 9 steps of [[53edo]]). The corresponding interval is (27*1200/159=) 203.77 cents (0.2 cents flat).
The following table illustrates modification of a given tone by accidentals up to 30 steps of 159edo. The terms in the glyph name sections reflect absolute displacements, <code>–</code> means down, <code>+</code> means up.  Furthermore, symbols with multiple names will have both names sharing the same cell.  The choice between the primary and secondary glyphs for any given step is often determined both by absolute TE error and by harmonic and melodic context for any given score, particularly as the primary and secondary glyphs usually reflect different intervals in Just Intonation.  For reference, the just whole tone interval, [[9/8]], is mapped to 27 steps of 159 edo (or 9 steps of [[53edo]]) which is (27*1200/159=) 203.77 cents (0.2 cents flat).


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