17edo solfege: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Expanding the "movable-do" solfege system for [[17edo|17edo]]: an aid for microtonal singing; a way of wrapping yr brain around a new sound system.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2011-02-09 13:39:47 UTC</tt>.<br>
: The original revision id was <tt>200189296</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>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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:
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 ||
{| class="wikitable"
|| 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 ||
| | 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" &amp; "di"). Spelling matters here.
Note that syllables usually treated as enharmonic equivalents become distinct pitches in 17 (eg. "ra" &amp; "di"). Spelling matters here.
Line 18: Line 64:
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:
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 ||
{| class="wikitable"
|| 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 ||
| | 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, &amp; get something more intuitive &amp; useful for certain purposes.
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.
Line 26: Line 125:
But what if we want solfege syllables for these respellings?
But what if we want solfege syllables for these respellings?


===ru, mu, lu &amp; tu===  
===ru, mu, lu &amp; tu===


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


|| 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 || 16 ||
{| class="wikitable"
|| 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 ||
| | 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) &amp; so on.
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) &amp; so on.


===fu &amp; su===  
===fu &amp; 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".
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 ||
{| class="wikitable"
|| 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 ||
| | 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===  
===other enharmonics===


Some offers, to fill out the octave:
Some offers, to fill out the octave:


|| 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 || 16 ||
{| class="wikitable"
|| 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 ||
| | 0
=== ===
| | 1
===side-by-side===
| | 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
|}


For comparison, the full system:
=== ===


|| 0 || 1 || 2 || 3 || 4 || 5 || 6 || 7 || 8 || 9 || 10 || 11 || 12 || 13 || 14 || 15 || 16 ||
===side-by-side===
|| 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 ||
 
See also [[22edo Solfege]]</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;17edo Solfege&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Expanding the &amp;quot;movable-do&amp;quot; solfege system for &lt;a class="wiki_link" href="/17edo"&gt;17edo&lt;/a&gt;: an aid for microtonal singing; a way of wrapping yr brain around a new sound system.&lt;br /&gt;
&lt;br /&gt;
Ordinary solfege syllables work very well in 17:&lt;br /&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Db&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Eb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Gb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Ab&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;do&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ra&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;di&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;re&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;me&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ri&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;mi&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;fa&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;se&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;fi&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sol&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;le&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;si&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;la&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;te&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;li&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;do&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
Note that syllables usually treated as enharmonic equivalents become distinct pitches in 17 (eg. &amp;quot;ra&amp;quot; &amp;amp; &amp;quot;di&amp;quot;). Spelling matters here.&lt;br /&gt;
&lt;br /&gt;
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:&lt;br /&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Db&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Eb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Gb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Ab&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;C-up&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D-up&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F-up&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G-up&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A-up&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
So, for example, we can respell our augmented second, D#, as a neutral third, E-down, &amp;amp; get something more intuitive &amp;amp; useful for certain purposes.&lt;br /&gt;
&lt;br /&gt;
But what if we want solfege syllables for these respellings?&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc0"&gt;&lt;a name="x--ru, mu, lu &amp;amp; tu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;ru, mu, lu &amp;amp; tu&lt;/h3&gt;
&lt;br /&gt;
I offer the suffix &amp;quot;-u&amp;quot; to indicate neutral 2nds, 3rds, 6ths, &amp;amp; 7ths.&lt;br /&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Db&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;D-down&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Eb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;E-down&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Gb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F#&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Ab&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;A-down&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;B-down&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;do&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ra&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;ru&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;re&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;me&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;mu&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;mi&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;fa&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;se&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;fi&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sol&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;le&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;lu&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;la&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;te&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;tu&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ti&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
So if we encounter a &amp;quot;ru,&amp;quot; we know to take it as a neutral second (not an augmented unison); if we encounter &amp;quot;lu,&amp;quot; we know to take it as a neutral sixth (not an augmented fifth) &amp;amp; so on.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc1"&gt;&lt;a name="x--fu &amp;amp; su"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;fu &amp;amp; su&lt;/h3&gt;
&lt;br /&gt;
What about the two tritones? Perhaps you want to respell G-flat as F-up. For this, I offer &amp;quot;fu&amp;quot;; likewise, if you want G-down in place of F-up, I offer &amp;quot;su&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Db&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Eb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;F-up&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;G-down&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Ab&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;do&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ra&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ru&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;re&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;me&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;mu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;mi&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;fa&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;fu&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;su&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sol&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;le&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;lu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;la&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;te&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;tu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;ti&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x--other enharmonics"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;other enharmonics&lt;/h3&gt;
&lt;br /&gt;
Some offers, to fill out the octave:&lt;br /&gt;
&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;C-up&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;D&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;D-up&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;E&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;F-up&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;G&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;G-up&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;A&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;A-up&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B-down&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;B&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;do&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;da&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;du&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;re&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;ro&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;mu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;mi&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;fa&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;fu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;su&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;sol&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;sa&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;lu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;la&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;strong&gt;lo&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;tu&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;do&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt; &lt;/h3&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x--side-by-side"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;side-by-side&lt;/h3&gt;
&lt;br /&gt;
For comparison, the full system:&lt;br /&gt;
&lt;br /&gt;


For comparison, the full system:


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


&lt;br /&gt;
See also [[22edo_Solfege|22edo Solfege]]
See also &lt;a class="wiki_link" href="/22edo%20Solfege"&gt;22edo Solfege&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

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

See also 22edo Solfege

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