SeventeenTonePianoProject: Difference between revisions

Line 1:

<h2>IMPORTED REVISION FROM WIKISPACES</h2>

This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>

: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2006-07-~~01 16~~:07:31 UTC</tt>.<br>

: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2006-07-11 12:04:34 UTC</tt>.<br>

: The original revision id was <tt>~~827394~~</tt>.<br>

: The original revision id was <tt>860780</tt>.<br>

: The revision comment was: <tt>~~stupid = sign~~</tt><br>

: The revision comment was: <tt>shot theory to a seperate page</tt><br>

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>

<h4>Original Wikitext content:</h4>

Line 31:

There are a few pieces available on the internet in 17: some 6 MIDI files by [[http://www.angelfire.com/mo/oljare/midicomp.html|Mats Öljare]] (search for "17tet"), [[http://www.io.com/%7Ehmiller/midi/transformation.mid|Herman Miller's "Transformation"]], and three improvisations by [[http://www.soundclick.com/bands/pagemusic.cfm?bandID=122613|Andrew Heathwaite]] (search for "17tet"). And one by [[http://www.soundclick.com/bands/songInfo.cfm?bandID=141776&songID=1342075|XJ Scott]].

===**Music theory through the eyes of the 17 Tone Piano Project:**===

===**[[SeventeenTheory|Music theory through the eyes of the 17 Tone Piano Project]]**===

17-tone equal tuning has fifths very close to just-intonation (and 12-equal) fifths. Consequently we use the usual circle-of-fifths on a five-line-staff notation, with a twist of new enharmonics, caused by the accumulation of the difference in the size of the fifth. To figure out the enharmonic names of any closed circle of fifths, write out a portion of it, like:

~~Cb Gb Db Ab Eb Bb F C G D A E B F# C# G# D# A# E#~~

and then wrap it into a circle of the desired size (image forthcoming!). If you do this with 17, you will notice that Cb = A#...that's how big the value of "flat/sharp" is in 17. The closer two notes are in the circle, the more familiar to us their harmonic function.

~~[[image:17fifths]]~~

~~The lines across indicate five fifths ("minor second") (1/17 of an octave). Now we can order them ascendingly:~~

~~[[image:17versus12names]]~~

Note that C# is HIGHER than Db; note that none of the intervals save the octave/unison are exactly the same as in 12. Note that The "half step"/"minor second" in 17 is twice as small as the "augmented unison"/"sharp"/"flat." Two sharp/flats add up to a minor third. Two "neutral thirds" add up to a "perfect fifth." These last two properties are shared with 24-equal (quartertones).

~~If the old notation is bothering you, here it is in cents (hundredths of a 12-equal half step):[[image:17versus12cents]]~~

~~and in pitch/interval classes:~~

~~[[image:17versus12pcs]]~~

===**Piano tuning and performable scores.**===

Line 55:

Line 40:

The pianos (baby grands, did I mention playing inside the piano is OK?) will be set up at a right angle, with flats on the left, sharps on the right, close enough that one person could play on both keyboards.

~~DISCLAIMER~~: ~~the~~ 17-tone piano project is in no way affiliated with Rice University. it is not even an official Shepherd School of Music event, not being a senior or junior or masters or doctoral or faculty-sponsored recital. heck, it could completely fall through. but don't let that stop you.

===Disclaimer :()===

The 17-tone piano project is in no way affiliated with Rice University. it is not even an official Shepherd School of Music event, not being a senior or junior or masters or doctoral or faculty-sponsored recital. heck, it could completely fall through. but don't let that stop you.

===**Questions? Click "edit" at the top of page, and add from here.**===</pre></div>

Line 84:

Line 70:

There are a few pieces available on the internet in 17: some 6 MIDI files by <a class="wiki_link_ext" href="http://www.angelfire.com/mo/oljare/midicomp.html" rel="nofollow">Mats Öljare</a> (search for &quot;17tet&quot;), <a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/transformation.mid" rel="nofollow">Herman Miller's &quot;Transformation&quot;</a>, and three improvisations by <a class="wiki_link_ext" href="http://www.soundclick.com/bands/pagemusic.cfm?bandID=122613" rel="nofollow">Andrew Heathwaite</a> (search for &quot;17tet&quot;). And one by <a class="wiki_link_ext" href="http://www.soundclick.com/bands/songInfo.cfm?bandID=141776&amp;songID=1342075" rel="nofollow">XJ Scott</a>.<br />

<br />

<h3 id="toc2"><a name="x--Music theory through the eyes of the 17 Tone Piano Project:"></a><strong>~~Music theory through the eyes of the 17 Tone Piano Project:</strong></h3>~~

<h3 id="toc2"><a name="x--Music theory through the eyes of the 17 Tone Piano Project"></a><strong><a class="wiki_link" href="/SeventeenTheory">Music theory through the eyes of the 17 Tone Piano Project</a></strong></h3>

17-tone equal tuning has fifths very close to just-intonation (and 12-equal) fifths. Consequently we use the usual circle-of-fifths on a five-line-staff notation, with a twist of new enharmonics, caused by the accumulation of the difference in the size of the fifth. To figure out the enharmonic names of any closed circle of fifths, write out a portion of it, like:<br />

~~<br />~~

~~Cb Gb Db Ab Eb Bb F C G D A E B F# C# G# D# A# E#<br />~~

<~~br />~~

~~and then wrap it into~~ a circle of the desired size (image forthcoming!). If you do this with 17, you will notice that Cb = A#...that's how big the value of &quot;flat/sharp&quot; is in 17. The closer two notes are in the circle, the more familiar to us their harmonic function.<br />

~~<br />~~

<img src="/file/view/17fifths/30122064/17fifths" alt="~~17fifths~~" ~~title~~="~~17fifths" /><br />~~

~~The lines across indicate five fifths (&quot;minor second&quot;) (1/17 of an octave). Now we can order them ascendingly:<br~~ /~~>~~

<img src="~~/file/view/17versus12names/30122065/17versus12names" alt="17versus12names" title="17versus12names" /~~>~~<br />~~

~~<br />~~

~~Note that C# is HIGHER than Db; note that none~~ of the ~~intervals save the octave/unison are exactly the same as in 12. Note that The &quot;half step&quot;/&quot;minor second&quot; in~~ 17 is twice as small as the &quot;augmented unison&quot;/&quot;sharp&quot;/&quot;flat.&quot; Two sharp/flats add up to a minor third. Two &quot;neutral thirds&quot; add up to a &quot;perfect fifth.&quot; These last two properties are shared with 24-equal (quartertones).<br />

<br /~~>~~

~~If the old notation is bothering you, here it is in cents (hundredths of~~ a 12-equal half step):<~~img src="~~/~~file/view/17versus12cents/30122071/17versus12cents" alt="17versus12cents" title="17versus12cents" /><!-- ws:end:WikiTextLocalImageRule:12 --~~><~~br />~~

~~and in pitch/interval classes:<br />~~

<img src="/file/view/17versus12pcs/30122074/17versus12pcs" alt="17versus12pcs" title="17versus12pcs" /><br />

<br />

<h3 id="toc3"><a name="x--Piano tuning and performable scores."></a><strong>Piano tuning and performable scores.</strong></h3>

Line 108:

Line 79:

The pianos (baby grands, did I mention playing inside the piano is OK?) will be set up at a right angle, with flats on the left, sharps on the right, close enough that one person could play on both keyboards.<br />

<br />

~~DISCLAIMER~~: ~~the~~ 17-tone piano project is in no way affiliated with Rice University. it is not even an official Shepherd School of Music event, not being a senior or junior or masters or doctoral or faculty-sponsored recital. heck, it could completely fall through. but don't let that stop you.<br />

<h3 id="toc4"><a name="x--Disclaimer :()"></a>Disclaimer :()</h3>

The 17-tone piano project is in no way affiliated with Rice University. it is not even an official Shepherd School of Music event, not being a senior or junior or masters or doctoral or faculty-sponsored recital. heck, it could completely fall through. but don't let that stop you.<br />

<br />

<h3 id="~~toc4~~"><a name="x--Questions? Click &quot;edit&quot; at the top of page, and add from here."></a><strong>Questions? Click &quot;edit&quot; at the top of page, and add from here.</strong></h3>

<h3 id="toc5"><a name="x--Questions? Click &quot;edit&quot; at the top of page, and add from here."></a><strong>Questions? Click &quot;edit&quot; at the top of page, and add from here.</strong></h3>

</body></html></pre></div>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2006-07-01 16:07:31 UTC</tt>.<br>
+: This revision was by author [[User:xenjacob|xenjacob]] and made on <tt>2006-07-11 12:04:34 UTC</tt>.<br>
-: The original revision id was <tt>827394</tt>.<br>
+: The original revision id was <tt>860780</tt>.<br>
-: The revision comment was: <tt>stupid = sign</tt><br>
+: The revision comment was: <tt>shot theory to a seperate page</tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 <h4>Original Wikitext content:</h4>
@@ Line 31: / Line 31: @@
 There are a few pieces available on the internet in 17: some 6 MIDI files by [[http://www.angelfire.com/mo/oljare/midicomp.html|Mats Öljare]] (search for "17tet"), [[http://www.io.com/%7Ehmiller/midi/transformation.mid|Herman Miller's "Transformation"]], and three improvisations by [[http://www.soundclick.com/bands/pagemusic.cfm?bandID=122613|Andrew Heathwaite]] (search for "17tet"). And one by [[http://www.soundclick.com/bands/songInfo.cfm?bandID=141776&amp;songID=1342075|XJ Scott]].
-===**Music theory through the eyes of the 17 Tone Piano Project:**===
+===**[[SeventeenTheory|Music theory through the eyes of the 17 Tone Piano Project]]**===
--tone equal tuning has fifths very close to just-intonation (and 12-equal) fifths. Consequently we use the usual circle-of-fifths on a five-line-staff notation, with a twist of new enharmonics, caused by the accumulation of the difference in the size of the fifth. To figure out the enharmonic names of any closed circle of fifths, write out a portion of it, like:
-Cb Gb Db Ab Eb Bb F C G D A E B F# C# G# D# A# E#
-and then wrap it into a circle of the desired size (image forthcoming!). If you do this with 17, you will notice that Cb = A#...that's how big the value of "flat/sharp" is in 17. The closer two notes are in the circle, the more familiar to us their harmonic function.
-[[image:17fifths]]
-The lines across indicate five fifths ("minor second") (1/17 of an octave). Now we can order them ascendingly:
-[[image:17versus12names]]
-Note that C# is HIGHER than Db; note that none of the intervals save the octave/unison are exactly the same as in 12. Note that The "half step"/"minor second" in 17 is twice as small as the "augmented unison"/"sharp"/"flat." Two sharp/flats add up to a minor third. Two "neutral thirds" add up to a "perfect fifth." These last two properties are shared with 24-equal (quartertones).
-If the old notation is bothering you, here it is in cents (hundredths of a 12-equal half step):[[image:17versus12cents]]
-and in pitch/interval classes:
-[[image:17versus12pcs]]
 ===**Piano tuning and performable scores.**===
@@ Line 55: / Line 40: @@
 The pianos (baby grands, did I mention playing inside the piano is OK?) will be set up at a right angle, with flats on the left, sharps on the right, close enough that one person could play on both keyboards.
-DISCLAIMER: the 17-tone piano project is in no way affiliated with Rice University. it is not even an official Shepherd School of Music event, not being a senior or junior or masters or doctoral or faculty-sponsored recital. heck, it could completely fall through. but don't let that stop you.
+===Disclaimer :()===
+The 17-tone piano project is in no way affiliated with Rice University. it is not even an official Shepherd School of Music event, not being a senior or junior or masters or doctoral or faculty-sponsored recital. heck, it could completely fall through. but don't let that stop you.
 ===**Questions? Click "edit" at the top of page, and add from here.**===</pre></div>
@@ Line 84: / Line 70: @@
 There are a few pieces available on the internet in 17: some 6 MIDI files by &lt;a class="wiki_link_ext" href="http://www.angelfire.com/mo/oljare/midicomp.html" rel="nofollow"&gt;Mats Öljare&lt;/a&gt; (search for &amp;quot;17tet&amp;quot;), &lt;a class="wiki_link_ext" href="http://www.io.com/%7Ehmiller/midi/transformation.mid" rel="nofollow"&gt;Herman Miller's &amp;quot;Transformation&amp;quot;&lt;/a&gt;, and three improvisations by &lt;a class="wiki_link_ext" href="http://www.soundclick.com/bands/pagemusic.cfm?bandID=122613" rel="nofollow"&gt;Andrew Heathwaite&lt;/a&gt; (search for &amp;quot;17tet&amp;quot;). And one by &lt;a class="wiki_link_ext" href="http://www.soundclick.com/bands/songInfo.cfm?bandID=141776&amp;amp;songID=1342075" rel="nofollow"&gt;XJ Scott&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x--Music theory through the eyes of the 17 Tone Piano Project:"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;strong&gt;Music theory through the eyes of the 17 Tone Piano Project:&lt;/strong&gt;&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x--Music theory through the eyes of the 17 Tone Piano Project"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;&lt;strong&gt;&lt;a class="wiki_link" href="/SeventeenTheory"&gt;Music theory through the eyes of the 17 Tone Piano Project&lt;/a&gt;&lt;/strong&gt;&lt;/h3&gt;
--tone equal tuning has fifths very close to just-intonation (and 12-equal) fifths. Consequently we use the usual circle-of-fifths on a five-line-staff notation, with a twist of new enharmonics, caused by the accumulation of the difference in the size of the fifth. To figure out the enharmonic names of any closed circle of fifths, write out a portion of it, like:&lt;br /&gt;
-&lt;br /&gt;
-Cb Gb Db Ab Eb Bb F C G D A E B F# C# G# D# A# E#&lt;br /&gt;
-&lt;br /&gt;
-and then wrap it into a circle of the desired size (image forthcoming!). If you do this with 17, you will notice that Cb = A#...that's how big the value of &amp;quot;flat/sharp&amp;quot; is in 17. The closer two notes are in the circle, the more familiar to us their harmonic function.&lt;br /&gt;
-&lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:10:&amp;lt;img src=&amp;quot;/file/view/17fifths/30122064/17fifths&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/17fifths/30122064/17fifths" alt="17fifths" title="17fifths" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:10 --&gt;&lt;br /&gt;
-The lines across indicate five fifths (&amp;quot;minor second&amp;quot;) (1/17 of an octave). Now we can order them ascendingly:&lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:11:&amp;lt;img src=&amp;quot;/file/view/17versus12names/30122065/17versus12names&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/17versus12names/30122065/17versus12names" alt="17versus12names" title="17versus12names" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:11 --&gt;&lt;br /&gt;
-&lt;br /&gt;
-Note that C# is HIGHER than Db; note that none of the intervals save the octave/unison are exactly the same as in 12. Note that The &amp;quot;half step&amp;quot;/&amp;quot;minor second&amp;quot; in 17 is twice as small as the &amp;quot;augmented unison&amp;quot;/&amp;quot;sharp&amp;quot;/&amp;quot;flat.&amp;quot; Two sharp/flats add up to a minor third. Two &amp;quot;neutral thirds&amp;quot; add up to a &amp;quot;perfect fifth.&amp;quot; These last two properties are shared with 24-equal (quartertones).&lt;br /&gt;
-&lt;br /&gt;
-If the old notation is bothering you, here it is in cents (hundredths of a 12-equal half step):&lt;!-- ws:start:WikiTextLocalImageRule:12:&amp;lt;img src=&amp;quot;/file/view/17versus12cents/30122071/17versus12cents&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/17versus12cents/30122071/17versus12cents" alt="17versus12cents" title="17versus12cents" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:12 --&gt;&lt;br /&gt;
-and in pitch/interval classes:&lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:13:&amp;lt;img src=&amp;quot;/file/view/17versus12pcs/30122074/17versus12pcs&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/17versus12pcs/30122074/17versus12pcs" alt="17versus12pcs" title="17versus12pcs" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:13 --&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x--Piano tuning and performable scores."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;strong&gt;Piano tuning and performable scores.&lt;/strong&gt;&lt;/h3&gt;
@@ Line 108: / Line 79: @@
 The pianos (baby grands, did I mention playing inside the piano is OK?) will be set up at a right angle, with flats on the left, sharps on the right, close enough that one person could play on both keyboards.&lt;br /&gt;
 &lt;br /&gt;
-DISCLAIMER: the 17-tone piano project is in no way affiliated with Rice University. it is not even an official Shepherd School of Music event, not being a senior or junior or masters or doctoral or faculty-sponsored recital. heck, it could completely fall through. but don't let that stop you.&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x--Disclaimer :()"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Disclaimer :()&lt;/h3&gt;
+The 17-tone piano project is in no way affiliated with Rice University. it is not even an official Shepherd School of Music event, not being a senior or junior or masters or doctoral or faculty-sponsored recital. heck, it could completely fall through. but don't let that stop you.&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x--Questions? Click &amp;quot;edit&amp;quot; at the top of page, and add from here."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;&lt;strong&gt;Questions? Click &amp;quot;edit&amp;quot; at the top of page, and add from here.&lt;/strong&gt;&lt;/h3&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x--Questions? Click &amp;quot;edit&amp;quot; at the top of page, and add from here."&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;&lt;strong&gt;Questions? Click &amp;quot;edit&amp;quot; at the top of page, and add from here.&lt;/strong&gt;&lt;/h3&gt;
 &lt;/body&gt;&lt;/html&gt;</pre></div>