15edo: Difference between revisions
Wikispaces>k9assassin **Imported revision 604275784 - Original comment: ** |
Wikispaces>k9assassin **Imported revision 604275824 - 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:k9assassin|k9assassin]] and made on <tt>2017-01-16 22: | : This revision was by author [[User:k9assassin|k9assassin]] and made on <tt>2017-01-16 22:41:53 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>604275824</tt>.<br> | ||
: The revision comment was: <tt></tt><br> | : The revision comment was: <tt></tt><br> | ||
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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==Porcupine Notation== | ==Porcupine Notation== | ||
* See the main [[Porcupine Notation|porcupine notation]] page. | * See the main [[Porcupine Notation|porcupine notation]] page. | ||
Porcupine notation bases porcupine[8] LLLLLLLs scale using eight nominals α β χ δ ε φ γ η. Others have proposed ABCDEFGHA but conflicts with european notation have caused many to reject this approach. Thus greek letters can be used in place with a close resemblance to the spelling of ABCDEFGHA. | Porcupine notation bases porcupine[8] LLLLLLLs scale using eight nominals α β χ δ ε φ γ η. Others have proposed ABCDEFGHA but conflicts with european notation have caused many to reject this approach. Thus greek letters can be used in place with a close resemblance to the spelling of ABCDEFGHA. | ||
==Interval names for Porcupine[8]:== | ==Interval names for Porcupine[8]:== | ||
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|| 1120 || Large Sevenquill || α - η || | || 1120 || Large Sevenquill || α - η || | ||
|| 1200 || Octoquill || α - α || | || 1200 || Octoquill || α - α || | ||
A regular keyboard can be designed using this system placing 7 black keys as porcupine[7] and 8 whites as porcupine[8]. | |||
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<ul><li><strong>Decimal Version:</strong> Using the nominals 1-0 (with 0 representing &quot;10&quot;), one of the three chains of 5-edo is represented by the odd numbers, the second by the even numbers, and the third by numbers with accidentals (either odd numbers with sharps, or even numbers with flats).</li><li><strong>Guitar Version:</strong> On a 15-edo guitar, because the &quot;perfect fourth&quot; comes from 5-edo, all of the open strings can be tuned a perfect fourth apart and still span exactly two octaves. If one starts the circle of fourths on B — B-E-A-D-G-(B) — then the open strings of the guitar can be notated as usual (E-A-D-G-B-E). However, because the circle of fourths closes at five, and does not continue to circulate through the other 10 notes of 15-edo, it is necessary to use accidentals to notate intervals on the other two chains of 5-edo. This notation is not particularly ideal as a basis for a staff notation (as it requires all non-5edo chords to be notated with accidentals). It is nevertheless useful because it reflects an intuitive approach to 15-edo on the guitar, since 5-edo provides a useful set of 3-limit landmarks (or &quot;perfect fourths&quot; and &quot;perfect fifths&quot;) that can be used to navigate the fretboard. It's especially convenient for writing chord charts, where the funky accidental-laden spellings can be more or less ignored.</li></ul><br /> | <ul><li><strong>Decimal Version:</strong> Using the nominals 1-0 (with 0 representing &quot;10&quot;), one of the three chains of 5-edo is represented by the odd numbers, the second by the even numbers, and the third by numbers with accidentals (either odd numbers with sharps, or even numbers with flats).</li><li><strong>Guitar Version:</strong> On a 15-edo guitar, because the &quot;perfect fourth&quot; comes from 5-edo, all of the open strings can be tuned a perfect fourth apart and still span exactly two octaves. If one starts the circle of fourths on B — B-E-A-D-G-(B) — then the open strings of the guitar can be notated as usual (E-A-D-G-B-E). However, because the circle of fourths closes at five, and does not continue to circulate through the other 10 notes of 15-edo, it is necessary to use accidentals to notate intervals on the other two chains of 5-edo. This notation is not particularly ideal as a basis for a staff notation (as it requires all non-5edo chords to be notated with accidentals). It is nevertheless useful because it reflects an intuitive approach to 15-edo on the guitar, since 5-edo provides a useful set of 3-limit landmarks (or &quot;perfect fourths&quot; and &quot;perfect fifths&quot;) that can be used to navigate the fretboard. It's especially convenient for writing chord charts, where the funky accidental-laden spellings can be more or less ignored.</li></ul><br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc7"><a name="Notation-Porcupine Notation"></a><!-- ws:end:WikiTextHeadingRule:16 -->Porcupine Notation</h2> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc7"><a name="Notation-Porcupine Notation"></a><!-- ws:end:WikiTextHeadingRule:16 -->Porcupine Notation</h2> | ||
<ul><li>See the main <a class="wiki_link" href="/Porcupine%20Notation">porcupine notation</a> page.</li></ul>Porcupine notation bases porcupine[8] LLLLLLLs scale using eight nominals α β χ δ ε φ γ η. Others have proposed ABCDEFGHA but conflicts with european notation have caused many to reject this approach. Thus greek letters can be used in place with a close resemblance to the spelling of ABCDEFGHA. <br /> | <ul><li>See the main <a class="wiki_link" href="/Porcupine%20Notation">porcupine notation</a> page.</li></ul>Porcupine notation bases porcupine[8] LLLLLLLs scale using eight nominals α β χ δ ε φ γ η. Others have proposed ABCDEFGHA but conflicts with european notation have caused many to reject this approach. Thus greek letters can be used in place with a close resemblance to the spelling of ABCDEFGHA.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc8"><a name="Notation-Interval names for Porcupine[8]:"></a><!-- ws:end:WikiTextHeadingRule:18 -->Interval names for Porcupine[8]:</h2> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc8"><a name="Notation-Interval names for Porcupine[8]:"></a><!-- ws:end:WikiTextHeadingRule:18 -->Interval names for Porcupine[8]:</h2> | ||
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</table> | </table> | ||
A regular keyboard can be designed using this system placing 7 black keys as porcupine[7] and 8 whites as porcupine[8]. <br /> | |||
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