17edo solfege: Difference between revisions

Revision as of 16:55, 30 October 2008

IMPORTED REVISION FROM WIKISPACES

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

This revision was by author Andrew_Heathwaite and made on 2008-10-30 16:55:51 UTC.

The original revision id was 44375809.

The revision comment was:

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

Original Wikitext content:

Expanding the "movable-do" solfege system for [[17edo]]: an aid for microtonal singing; a way of wrapping yr brain around a new sound system.

Ordinary solfege syllables work very well in 17:

|| 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 || 16 ||
|| C || Db || C# || D || Eb || D# || E || F || Gb || F# || G || Ab || G# || A || Bb || A# || B ||
|| do || ra || di || re || me || ri || mi || fa || se || fi || sol || le || si || la || te || li || do ||

Note that syllables usually treated as enharmonic equivalents become distinct pitches in 17 (eg. "ra" & "di"). Spelling matters here.

This system could work just fine on its own, but what if I want to respell the pitches to put them into another pitch class? For example, what if I want to treat D# as a kind of third (a neutral third) instead of a kind of second (an augmented second)? For pitches, we have up-down arrows (thank you Sagittal) that can allow us to respell like this:

|| 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 || 16 ||
|| C || Db || C# || D || Eb || D# || E || F || Gb || F# || G || Ab || G# || A || Bb || A# || B ||
|| C || C-up || D-down || D || D-up || E-down || E || F || F-up || G-down || G || G-up || A-down || A || A-up || B-down || B ||

So, for example, we can respell our augmented second, D#, as a neutral third, E-down, & get something more intuitive & useful for certain purposes.

But what if we want solfege syllables for these respellings?

===ru, mu, lu & tu=== 

I offer the suffix "-u" to indicate neutral 2nds, 3rds, 6ths, & 7ths.

|| 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 || 16 ||
|| C || Db || **D-down** || D || Eb || **E-down** || E || F || Gb || F# || G || Ab || **A-down** || A || Bb || **B-down** || B ||
|| do || ra || **ru** || re || me || **mu** || mi || fa || se || fi || sol || le || **lu** || la || te || **tu** || ti ||

So if we encounter a "ru," we know to take it as a neutral second (not an augmented unison); if we encounter "lu," we know to take it as a neutral sixth (not an augmented fifth) & so on.

===fu & su=== 

What about the two tritones? Perhaps you want to respell G-flat as F-up. For this, I offer "fu"; likewise, if you want G-down in place of F-up, I offer "su".

|| 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 || 16 ||
|| C || Db || D-down || D || Eb || E-down || E || F || **F-up** || **G-down** || G || Ab || A-down || A || Bb || B-down || B ||
|| do || ra || ru || re || me || mu || mi || fa || **fu** || **su** || sol || le || lu || la || te || tu || ti ||

===other enharmonics=== 

Some offers, to fill out the octave:

|| 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 || 16 ||
|| C || **C-up** || D-down || D || **D-up** || E-down || E || F || F-up || G-down || G || **G-up** || A-down || A || **A-up** || B-down || B ||
|| do || **da** || du || re || **ro** || mu || mi || fa || fu || su || sol || **sa** || lu || la || **lo** || tu || do ||
=== === 
===side-by-side=== 

For comparison, the full system:

|| 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 || 16 ||
|| C || Db/C-up || C#/D-down || D || Eb/D-up || D#/E-down || E || F || Gb/F-up || F#/G-down || G || Ab/G-up || G#/A-down || A || Bb/A-up || A#/B-down || B ||
|| do || ra || di || re || me || ri || mi || fa || se || fi || sol || le || si || la || te || li || do ||
|| do || da || du || re || ro || mu || mi || fa || fu || su || sol || sa || lu || la || lo || tu || do ||

Original HTML content:

<html><head><title>17edo Solfege</title></head><body>Expanding the &quot;movable-do&quot; solfege system for <a class="wiki_link" href="/17edo">17edo</a>: an aid for microtonal singing; a way of wrapping yr brain around a new sound system.<br />
<br />
Ordinary solfege syllables work very well in 17:<br />
<br />


<table class="wiki_table">
    <tr>
        <td>0<br />
</td>
        <td>1<br />
</td>
        <td>2<br />
</td>
        <td>3<br />
</td>
        <td>4<br />
</td>
        <td>5<br />
</td>
        <td>6<br />
</td>
        <td>7<br />
</td>
        <td>8<br />
</td>
        <td>9<br />
</td>
        <td>10<br />
</td>
        <td>11<br />
</td>
        <td>12<br />
</td>
        <td>13<br />
</td>
        <td>14<br />
</td>
        <td>15<br />
</td>
        <td>16<br />
</td>
    </tr>
    <tr>
        <td>C<br />
</td>
        <td>Db<br />
</td>
        <td>C#<br />
</td>
        <td>D<br />
</td>
        <td>Eb<br />
</td>
        <td>D#<br />
</td>
        <td>E<br />
</td>
        <td>F<br />
</td>
        <td>Gb<br />
</td>
        <td>F#<br />
</td>
        <td>G<br />
</td>
        <td>Ab<br />
</td>
        <td>G#<br />
</td>
        <td>A<br />
</td>
        <td>Bb<br />
</td>
        <td>A#<br />
</td>
        <td>B<br />
</td>
    </tr>
    <tr>
        <td>do<br />
</td>
        <td>ra<br />
</td>
        <td>di<br />
</td>
        <td>re<br />
</td>
        <td>me<br />
</td>
        <td>ri<br />
</td>
        <td>mi<br />
</td>
        <td>fa<br />
</td>
        <td>se<br />
</td>
        <td>fi<br />
</td>
        <td>sol<br />
</td>
        <td>le<br />
</td>
        <td>si<br />
</td>
        <td>la<br />
</td>
        <td>te<br />
</td>
        <td>li<br />
</td>
        <td>do<br />
</td>
    </tr>
</table>

<br />
Note that syllables usually treated as enharmonic equivalents become distinct pitches in 17 (eg. &quot;ra&quot; &amp; &quot;di&quot;). Spelling matters here.<br />
<br />
This system could work just fine on its own, but what if I want to respell the pitches to put them into another pitch class? For example, what if I want to treat D# as a kind of third (a neutral third) instead of a kind of second (an augmented second)? For pitches, we have up-down arrows (thank you Sagittal) that can allow us to respell like this:<br />
<br />


<table class="wiki_table">
    <tr>
        <td>0<br />
</td>
        <td>1<br />
</td>
        <td>2<br />
</td>
        <td>3<br />
</td>
        <td>4<br />
</td>
        <td>5<br />
</td>
        <td>6<br />
</td>
        <td>7<br />
</td>
        <td>8<br />
</td>
        <td>9<br />
</td>
        <td>10<br />
</td>
        <td>11<br />
</td>
        <td>12<br />
</td>
        <td>13<br />
</td>
        <td>14<br />
</td>
        <td>15<br />
</td>
        <td>16<br />
</td>
    </tr>
    <tr>
        <td>C<br />
</td>
        <td>Db<br />
</td>
        <td>C#<br />
</td>
        <td>D<br />
</td>
        <td>Eb<br />
</td>
        <td>D#<br />
</td>
        <td>E<br />
</td>
        <td>F<br />
</td>
        <td>Gb<br />
</td>
        <td>F#<br />
</td>
        <td>G<br />
</td>
        <td>Ab<br />
</td>
        <td>G#<br />
</td>
        <td>A<br />
</td>
        <td>Bb<br />
</td>
        <td>A#<br />
</td>
        <td>B<br />
</td>
    </tr>
    <tr>
        <td>C<br />
</td>
        <td>C-up<br />
</td>
        <td>D-down<br />
</td>
        <td>D<br />
</td>
        <td>D-up<br />
</td>
        <td>E-down<br />
</td>
        <td>E<br />
</td>
        <td>F<br />
</td>
        <td>F-up<br />
</td>
        <td>G-down<br />
</td>
        <td>G<br />
</td>
        <td>G-up<br />
</td>
        <td>A-down<br />
</td>
        <td>A<br />
</td>
        <td>A-up<br />
</td>
        <td>B-down<br />
</td>
        <td>B<br />
</td>
    </tr>
</table>

<br />
So, for example, we can respell our augmented second, D#, as a neutral third, E-down, &amp; get something more intuitive &amp; useful for certain purposes.<br />
<br />
But what if we want solfege syllables for these respellings?<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h3&gt; --><h3 id="toc0"><a name="x--ru, mu, lu &amp; tu"></a><!-- ws:end:WikiTextHeadingRule:0 -->ru, mu, lu &amp; tu</h3>
 <br />
I offer the suffix &quot;-u&quot; to indicate neutral 2nds, 3rds, 6ths, &amp; 7ths.<br />
<br />


<table class="wiki_table">
    <tr>
        <td>0<br />
</td>
        <td>1<br />
</td>
        <td>2<br />
</td>
        <td>3<br />
</td>
        <td>4<br />
</td>
        <td>5<br />
</td>
        <td>6<br />
</td>
        <td>7<br />
</td>
        <td>8<br />
</td>
        <td>9<br />
</td>
        <td>10<br />
</td>
        <td>11<br />
</td>
        <td>12<br />
</td>
        <td>13<br />
</td>
        <td>14<br />
</td>
        <td>15<br />
</td>
        <td>16<br />
</td>
    </tr>
    <tr>
        <td>C<br />
</td>
        <td>Db<br />
</td>
        <td><strong>D-down</strong><br />
</td>
        <td>D<br />
</td>
        <td>Eb<br />
</td>
        <td><strong>E-down</strong><br />
</td>
        <td>E<br />
</td>
        <td>F<br />
</td>
        <td>Gb<br />
</td>
        <td>F#<br />
</td>
        <td>G<br />
</td>
        <td>Ab<br />
</td>
        <td><strong>A-down</strong><br />
</td>
        <td>A<br />
</td>
        <td>Bb<br />
</td>
        <td><strong>B-down</strong><br />
</td>
        <td>B<br />
</td>
    </tr>
    <tr>
        <td>do<br />
</td>
        <td>ra<br />
</td>
        <td><strong>ru</strong><br />
</td>
        <td>re<br />
</td>
        <td>me<br />
</td>
        <td><strong>mu</strong><br />
</td>
        <td>mi<br />
</td>
        <td>fa<br />
</td>
        <td>se<br />
</td>
        <td>fi<br />
</td>
        <td>sol<br />
</td>
        <td>le<br />
</td>
        <td><strong>lu</strong><br />
</td>
        <td>la<br />
</td>
        <td>te<br />
</td>
        <td><strong>tu</strong><br />
</td>
        <td>ti<br />
</td>
    </tr>
</table>

<br />
So if we encounter a &quot;ru,&quot; we know to take it as a neutral second (not an augmented unison); if we encounter &quot;lu,&quot; we know to take it as a neutral sixth (not an augmented fifth) &amp; so on.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x--fu &amp; su"></a><!-- ws:end:WikiTextHeadingRule:2 -->fu &amp; su</h3>
 <br />
What about the two tritones? Perhaps you want to respell G-flat as F-up. For this, I offer &quot;fu&quot;; likewise, if you want G-down in place of F-up, I offer &quot;su&quot;.<br />
<br />


<table class="wiki_table">
    <tr>
        <td>0<br />
</td>
        <td>1<br />
</td>
        <td>2<br />
</td>
        <td>3<br />
</td>
        <td>4<br />
</td>
        <td>5<br />
</td>
        <td>6<br />
</td>
        <td>7<br />
</td>
        <td>8<br />
</td>
        <td>9<br />
</td>
        <td>10<br />
</td>
        <td>11<br />
</td>
        <td>12<br />
</td>
        <td>13<br />
</td>
        <td>14<br />
</td>
        <td>15<br />
</td>
        <td>16<br />
</td>
    </tr>
    <tr>
        <td>C<br />
</td>
        <td>Db<br />
</td>
        <td>D-down<br />
</td>
        <td>D<br />
</td>
        <td>Eb<br />
</td>
        <td>E-down<br />
</td>
        <td>E<br />
</td>
        <td>F<br />
</td>
        <td><strong>F-up</strong><br />
</td>
        <td><strong>G-down</strong><br />
</td>
        <td>G<br />
</td>
        <td>Ab<br />
</td>
        <td>A-down<br />
</td>
        <td>A<br />
</td>
        <td>Bb<br />
</td>
        <td>B-down<br />
</td>
        <td>B<br />
</td>
    </tr>
    <tr>
        <td>do<br />
</td>
        <td>ra<br />
</td>
        <td>ru<br />
</td>
        <td>re<br />
</td>
        <td>me<br />
</td>
        <td>mu<br />
</td>
        <td>mi<br />
</td>
        <td>fa<br />
</td>
        <td><strong>fu</strong><br />
</td>
        <td><strong>su</strong><br />
</td>
        <td>sol<br />
</td>
        <td>le<br />
</td>
        <td>lu<br />
</td>
        <td>la<br />
</td>
        <td>te<br />
</td>
        <td>tu<br />
</td>
        <td>ti<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x--other enharmonics"></a><!-- ws:end:WikiTextHeadingRule:4 -->other enharmonics</h3>
 <br />
Some offers, to fill out the octave:<br />
<br />


<table class="wiki_table">
    <tr>
        <td>0<br />
</td>
        <td>1<br />
</td>
        <td>2<br />
</td>
        <td>3<br />
</td>
        <td>4<br />
</td>
        <td>5<br />
</td>
        <td>6<br />
</td>
        <td>7<br />
</td>
        <td>8<br />
</td>
        <td>9<br />
</td>
        <td>10<br />
</td>
        <td>11<br />
</td>
        <td>12<br />
</td>
        <td>13<br />
</td>
        <td>14<br />
</td>
        <td>15<br />
</td>
        <td>16<br />
</td>
    </tr>
    <tr>
        <td>C<br />
</td>
        <td><strong>C-up</strong><br />
</td>
        <td>D-down<br />
</td>
        <td>D<br />
</td>
        <td><strong>D-up</strong><br />
</td>
        <td>E-down<br />
</td>
        <td>E<br />
</td>
        <td>F<br />
</td>
        <td>F-up<br />
</td>
        <td>G-down<br />
</td>
        <td>G<br />
</td>
        <td><strong>G-up</strong><br />
</td>
        <td>A-down<br />
</td>
        <td>A<br />
</td>
        <td><strong>A-up</strong><br />
</td>
        <td>B-down<br />
</td>
        <td>B<br />
</td>
    </tr>
    <tr>
        <td>do<br />
</td>
        <td><strong>da</strong><br />
</td>
        <td>du<br />
</td>
        <td>re<br />
</td>
        <td><strong>ro</strong><br />
</td>
        <td>mu<br />
</td>
        <td>mi<br />
</td>
        <td>fa<br />
</td>
        <td>fu<br />
</td>
        <td>su<br />
</td>
        <td>sol<br />
</td>
        <td><strong>sa</strong><br />
</td>
        <td>lu<br />
</td>
        <td>la<br />
</td>
        <td><strong>lo</strong><br />
</td>
        <td>tu<br />
</td>
        <td>do<br />
</td>
    </tr>
</table>

<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><!-- ws:end:WikiTextHeadingRule:6 --> </h3>
 <!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x--side-by-side"></a><!-- ws:end:WikiTextHeadingRule:8 -->side-by-side</h3>
 <br />
For comparison, the full system:<br />
<br />


<table class="wiki_table">
    <tr>
        <td>0<br />
</td>
        <td>1<br />
</td>
        <td>2<br />
</td>
        <td>3<br />
</td>
        <td>4<br />
</td>
        <td>5<br />
</td>
        <td>6<br />
</td>
        <td>7<br />
</td>
        <td>8<br />
</td>
        <td>9<br />
</td>
        <td>10<br />
</td>
        <td>11<br />
</td>
        <td>12<br />
</td>
        <td>13<br />
</td>
        <td>14<br />
</td>
        <td>15<br />
</td>
        <td>16<br />
</td>
    </tr>
    <tr>
        <td>C<br />
</td>
        <td>Db/C-up<br />
</td>
        <td>C#/D-down<br />
</td>
        <td>D<br />
</td>
        <td>Eb/D-up<br />
</td>
        <td>D#/E-down<br />
</td>
        <td>E<br />
</td>
        <td>F<br />
</td>
        <td>Gb/F-up<br />
</td>
        <td>F#/G-down<br />
</td>
        <td>G<br />
</td>
        <td>Ab/G-up<br />
</td>
        <td>G#/A-down<br />
</td>
        <td>A<br />
</td>
        <td>Bb/A-up<br />
</td>
        <td>A#/B-down<br />
</td>
        <td>B<br />
</td>
    </tr>
    <tr>
        <td>do<br />
</td>
        <td>ra<br />
</td>
        <td>di<br />
</td>
        <td>re<br />
</td>
        <td>me<br />
</td>
        <td>ri<br />
</td>
        <td>mi<br />
</td>
        <td>fa<br />
</td>
        <td>se<br />
</td>
        <td>fi<br />
</td>
        <td>sol<br />
</td>
        <td>le<br />
</td>
        <td>si<br />
</td>
        <td>la<br />
</td>
        <td>te<br />
</td>
        <td>li<br />
</td>
        <td>do<br />
</td>
    </tr>
    <tr>
        <td>do<br />
</td>
        <td>da<br />
</td>
        <td>du<br />
</td>
        <td>re<br />
</td>
        <td>ro<br />
</td>
        <td>mu<br />
</td>
        <td>mi<br />
</td>
        <td>fa<br />
</td>
        <td>fu<br />
</td>
        <td>su<br />
</td>
        <td>sol<br />
</td>
        <td>sa<br />
</td>
        <td>lu<br />
</td>
        <td>la<br />
</td>
        <td>lo<br />
</td>
        <td>tu<br />
</td>
        <td>do<br />
</td>
    </tr>
</table>

</body></html>

17edo solfege: Difference between revisions

Revision as of 16:55, 30 October 2008

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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