Basic introduction to xenharmonic music: Difference between revisions
Wikispaces>mbattaglia1 **Imported revision 336767354 - Original comment: ** |
Wikispaces>mbattaglia1 **Imported revision 336770488 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2012-05-17 15: | : This revision was by author [[User:mbattaglia1|mbattaglia1]] and made on <tt>2012-05-17 15:42:46 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>336770488</tt>.<br> | ||
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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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* The circle/chain of fifths, "G# and Ab can be different", with historical info | * The circle/chain of fifths, "G# and Ab can be different", with historical info | ||
* Different circle-of-fifths EDOs and their different enharmonic equivalences (with 19edo as the obvious example to focus on, but also 17edo) | * Different circle-of-fifths EDOs and their different enharmonic equivalences (with 19edo as the obvious example to focus on, but also 17edo) | ||
* [[#htmldiff1]]Circles of other intervals, such as minor thirds? | * [[#htmldiff1]]Circles of other intervals, such as minor thirds? | ||
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* Frequency, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!) | * Frequency, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!) | ||
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# Temperaments are broad objects involving intonation. WTF do I do with them? | # Temperaments are broad objects involving intonation. WTF do I do with them? | ||
# Puns! Comma pumps! | # Puns! Comma pumps! | ||
# Talk about MOS series as a generalization of pentatonic/diatonic/chromatic scales | # Talk about MOS series as a generalization of pentatonic/diatonic/chromatic scales! | ||
# Talk about MODMOS's | # Talk about MODMOS's! | ||
# Higher-limit JI! | # Higher-limit JI! | ||
# Tuning accuracy for crunchy stuff | # EDOs support an infinite amount of rank-2 temperaments! | ||
# Talk about Gene's work with microtemperaments! | |||
# Ethnomusicological tunings! Mavila! Maqamic! Slendric! (maybe) Srutal! | |||
# Tuning accuracy for crunchy stuff! | |||
# Careful use of timbre + lower accuracy for colorful stuff! | |||
# (INVENT MORE COOL STUFF IN REAL LIFE AND WRITE IT HERE) | # (INVENT MORE COOL STUFF IN REAL LIFE AND WRITE IT HERE) | ||
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<ol><li>Talk about frequencies, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!)</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) (epic animation of the circle of fifths opening into a chain and then the chain itself opening into the 5-limit lattice!)</li><li>Commas are enharmonic equivalences on steroids</li><li>The syntonic comma makes the world go round (probably a bad idea to write &lt;12 19 28|-4 4 -1&gt;=0 here, haha...)</li><li>Finally introduce new rank-2 temperaments, like blackwood and porcupine (epic musical examples needed here!)</li><li>BRIEFLY introduce the concept of those rank-2 temperaments closing into other equal temperaments (e.g. as an approach to answer questions like &quot;how do I use 15-EDO?&quot;)</li><li>List some awesome temperaments and related scales using them (equip these scales with #/b accidentals plz)</li><li>Awesome musical examples!</li></ol><br /> | <ol><li>Talk about frequencies, ratios, cents, Hz, the harmonic series (just briefly mentioning logarithms and saying what the practical implications are - this is not for mathematicians!)</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) (epic animation of the circle of fifths opening into a chain and then the chain itself opening into the 5-limit lattice!)</li><li>Commas are enharmonic equivalences on steroids</li><li>The syntonic comma makes the world go round (probably a bad idea to write &lt;12 19 28|-4 4 -1&gt;=0 here, haha...)</li><li>Finally introduce new rank-2 temperaments, like blackwood and porcupine (epic musical examples needed here!)</li><li>BRIEFLY introduce the concept of those rank-2 temperaments closing into other equal temperaments (e.g. as an approach to answer questions like &quot;how do I use 15-EDO?&quot;)</li><li>List some awesome temperaments and related scales using them (equip these scales with #/b accidentals plz)</li><li>Awesome musical examples!</li></ol><br /> | ||
<strong>Unit 3</strong> - how to actually use temperaments<br /> | <strong>Unit 3</strong> - how to actually use temperaments<br /> | ||
<ol><li>Temperaments are broad objects involving intonation. WTF do I do with them?</li><li>Puns! Comma pumps!</li><li>Talk about MOS series as a generalization of pentatonic/diatonic/chromatic scales</li><li>Talk about MODMOS's</li><li>Higher-limit JI!</li><li>Tuning accuracy for crunchy stuff | <ol><li>Temperaments are broad objects involving intonation. WTF do I do with them?</li><li>Puns! Comma pumps!</li><li>Talk about MOS series as a generalization of pentatonic/diatonic/chromatic scales!</li><li>Talk about MODMOS's!</li><li>Higher-limit JI!</li><li>EDOs support an infinite amount of rank-2 temperaments!</li><li>Talk about Gene's work with microtemperaments!</li><li>Ethnomusicological tunings! Mavila! Maqamic! Slendric! (maybe) Srutal!</li><li>Tuning accuracy for crunchy stuff!</li><li>Careful use of timbre + lower accuracy for colorful stuff!</li><li>(INVENT MORE COOL STUFF IN REAL LIFE AND WRITE IT HERE)</li></ol><br /> | ||
Feel free to change</body></html></pre></div> | Feel free to change</body></html></pre></div> | ||