Basic introduction to xenharmonic music
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- This revision was by author keenanpepper and made on 2012-05-17 14:08:37 UTC.
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Just a rough draft. [[Mike Battaglia]] and [[Keenan Pepper]] are writing it but suggested improvements are more than welcome. Will be TeXed up later into a document intended for very wide distribution. Things to cover: * Frequency, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!) * What 12edo actually is (must drive home the point that there are 12 notes per octave, not, say, 8, as some people would say if you asked them) * Approximate relationships between 12edo and JI - the fact that each interval represents *many* JI ratios (important because a lot of sources give exactly one JI ratio per 12edo interval which is very misleading) * JI lattices (VERY BRIEFLY) * Commas, the syntonic comma, puns, comma pumps * How meantone temperament works, the circle/chain of fifths, "G# and Ab can be different" * MOS series (never mentioning continued fractions except maybe in a footnote) * Different meantone EDOs and their different enharmonic equivalences (with 19edo as the obvious example to focus on) * Finally, non-meantone rank-2 temperaments (this should be the pinnacle of the document, for which everything else is a required prerequisite) Porcupine is a good example that everybody loves. Could perhaps also introduce pajara as a non-octave-period rank-2 temperament.
Original HTML content:
<html><head><title>Basic introduction to xenharmonic music</title></head><body>Just a rough draft. <a class="wiki_link" href="/Mike%20Battaglia">Mike Battaglia</a> and <a class="wiki_link" href="/Keenan%20Pepper">Keenan Pepper</a> are writing it but suggested improvements are more than welcome. Will be TeXed up later into a document intended for very wide distribution.<br /> Things to cover:<br /> <ul><li>Frequency, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!)</li><li>What 12edo actually is (must drive home the point that there are 12 notes per octave, not, say, 8, as some people would say if you asked them)</li><li>Approximate relationships between 12edo and JI - the fact that each interval represents *many* JI ratios (important because a lot of sources give exactly one JI ratio per 12edo interval which is very misleading)</li><li>JI lattices (VERY BRIEFLY)</li><li>Commas, the syntonic comma, puns, comma pumps</li><li>How meantone temperament works, the circle/chain of fifths, "G# and Ab can be different"</li><li>MOS series (never mentioning continued fractions except maybe in a footnote)</li><li>Different meantone EDOs and their different enharmonic equivalences (with 19edo as the obvious example to focus on)</li><li>Finally, non-meantone rank-2 temperaments (this should be the pinnacle of the document, for which everything else is a required prerequisite) Porcupine is a good example that everybody loves. Could perhaps also introduce pajara as a non-octave-period rank-2 temperament.</li></ul></body></html>