Kite's ups and downs notation: Difference between revisions

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<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:TallKite|TallKite]] and made on <tt>2015-12-18 05:13:07 UTC</tt>.<br>

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2015-12-29 18:23:51 UTC</tt>.<br>

: The original revision id was <tt>~~570454777~~</tt>.<br>

: The original revision id was <tt>570885341</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>

Line 720:

D * * * E * F * * * G * * * A * * * B * C * * * D

D - D^/Ebv - D#/Eb - D#^/Ev - E - E^/Fv - F - F^/Gbv - F#/Gb - F#^/Gv - G - G^/Abv - G#/Ab - G#^/Av - A etc.

P1 - ^P1/vm2 - m2 - ^m2/vM2 - M2 - ^M2/vm3 - m3 - ^m3/vM3 - M3 - ^M3/vP4 - P4 - ^P4/vd5 - A4/d5 - ^A4/vP5 - P5 etc.</pre></div>

P1 - ^P1/vm2 - m2 - ^m2/vM2 - M2 - ^M2/vm3 - m3 - ^m3/vM3 - M3 - ^M3/vP4 - P4 - ^P4/vd5 - A4/d5 - ^A4/vP5 - P5 etc.

==Ups and downs solfege==

Solfege (do-re-mi) can be adapted to indicate sharp/flat and up/down:

The initial consonant remains as before: D, R, M, F, S, L and T

The first vowel indicates sharp/flat: a = natural, e = #, i = ##, o = b, u = bb

The vowels are pronounced as in Spanish or Italian

The pitch from ## to bb follows the natural vowel spectrum i-e-a-o-u

The optional 2nd vowel indicates up/down: a = ^^^, e = ^, i = ^^, o = v, u = vv

The 2nd vowel is separated from the first by either a glottal stop, an "h", a "w", or a "y"

Thus C#v is Deo, pronounced as De'o or Deho or Dewo or Deyo.

This suffices for many but not all edos, as some require triple sharps or quadruple ups.

Fixed-do solfege:

Da = C, De = C#, Di = C##, Do = Cb, Du =Cbb

Da = C, Da'e = C^, Da'i = C^^, Da'o = Cv, Da'u = Cvv, Da'a = C^^^

De = C#, De'e = C#^, De'i = C#^^, De'o = C#v, De'u = C#vv, De'a = C#^^^

etc.

Moveable-do solfege:

The 2nd vowel is as before. The 1st vowel's meaning depends on the interval.

Perfect intervals (tonic, 4th, 5th and octave): a = perfect, e= aug, i = double-aug, o = dim, u = double-dim

Da = P1, De = A1, Di = AA1, Do = d1, Du = dd1

Da'e = ^P1, Da'i = ^^P1, Da'o = vP1, Da'u = vvP1, Da'a = ^^^P1

etc.

Imperfect intervals (2nd, 3rd, 6th and 7th): a = major, e = aug, i = double-aug, o = minor, u = dim

Ra = M2, Re = A2, Ri = AA2, Ro = m2, Ru = d2

Ra'e = ^M2, Ra'i = ^^M2, Ra'o = vM2, Ra'u = vvM2, Ra'a = ^^^M2

etc.</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"><html><head><title>Ups and Downs Notation</title></head><body><h1 id="toc0"><a name="x&quot;Ups and Downs&quot; Notation"></a>&quot;Ups and Downs&quot; Notation</h1>

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fourthwards EDOs aka Mavila EDOs, with a fifth less than 686¢<br />

<br />

<img src="/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png" alt="The fifth of EDOs 5-53.png" title="The fifth of EDOs 5-53.png" style="height: 1035px; width: 800px;" /><br />

<img src="/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png" alt="The fifth of EDOs 5-53.png" title="The fifth of EDOs 5-53.png" style="height: 1035px; width: 800px;" /><br />

<br />

This is in addition to the trivial EDOs, 1, 2, 3, 4 and 6, which can be notated with standard notation as a subset of 12-EDO. The fifth is defined as the nearest approximation to 3/2. There is a little leeway to this in certain EDOs like 18 which have two possible fifths with nearly equal accuracy.<br />

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<br />

<img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg" alt="Tibia in G with ^v, rygb 1.jpg" title="Tibia in G with ^v, rygb 1.jpg" style="height: 1035px; width: 800px;" /><br />

<img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg" alt="Tibia in G with ^v, rygb 1.jpg" title="Tibia in G with ^v, rygb 1.jpg" style="height: 1035px; width: 800px;" /><br />

<br />

<h2 id="toc3"><img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg" alt="Tibia in G with ^v, rygb 2.jpg" title="Tibia in G with ^v, rygb 2.jpg" style="height: 957px; width: 800px;" /></h2>

<h2 id="toc3"><img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg" alt="Tibia in G with ^v, rygb 2.jpg" title="Tibia in G with ^v, rygb 2.jpg" style="height: 957px; width: 800px;" /></h2>

<h2 id="toc4"> </h2>

<h2 id="toc5"> </h2>

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D * * * E * F * * * G * * * A * * * B * C * * * D<br />

D - D^/Ebv - D#/Eb - D#^/Ev - E - E^/Fv - F - F^/Gbv - F#/Gb - F#^/Gv - G - G^/Abv - G#/Ab - G#^/Av - A etc.<br />

P1 - ^P1/vm2 - m2 - ^m2/vM2 - M2 - ^M2/vm3 - m3 - ^m3/vM3 - M3 - ^M3/vP4 - P4 - ^P4/vd5 - A4/d5 - ^A4/vP5 - P5 etc.</body></html></pre></div>

P1 - ^P1/vm2 - m2 - ^m2/vM2 - M2 - ^M2/vm3 - m3 - ^m3/vM3 - M3 - ^M3/vP4 - P4 - ^P4/vd5 - A4/d5 - ^A4/vP5 - P5 etc.<br />

<br />

<h2 id="toc17"><a name="Summary of EDO notation-Ups and downs solfege"></a>Ups and downs solfege</h2>

<br />

Solfege (do-re-mi) can be adapted to indicate sharp/flat and up/down:<br />

The initial consonant remains as before: D, R, M, F, S, L and T<br />

The first vowel indicates sharp/flat: a = natural, e = #, i = ##, o = b, u = bb<br />

The vowels are pronounced as in Spanish or Italian<br />

The pitch from ## to bb follows the natural vowel spectrum i-e-a-o-u<br />

The optional 2nd vowel indicates up/down: a = ^^^, e = ^, i = ^^, o = v, u = vv<br />

The 2nd vowel is separated from the first by either a glottal stop, an &quot;h&quot;, a &quot;w&quot;, or a &quot;y&quot;<br />

Thus C#v is Deo, pronounced as De'o or Deho or Dewo or Deyo.<br />

This suffices for many but not all edos, as some require triple sharps or quadruple ups.<br />

<br />

Fixed-do solfege:<br />

Da = C, De = C#, Di = C##, Do = Cb, Du =Cbb<br />

Da = C, Da'e = C^, Da'i = C^^, Da'o = Cv, Da'u = Cvv, Da'a = C^^^<br />

De = C#, De'e = C#^, De'i = C#^^, De'o = C#v, De'u = C#vv, De'a = C#^^^<br />

etc.<br />

<br />

Moveable-do solfege:<br />

The 2nd vowel is as before. The 1st vowel's meaning depends on the interval.<br />

Perfect intervals (tonic, 4th, 5th and octave): a = perfect, e= aug, i = double-aug, o = dim, u = double-dim<br />

Da = P1, De = A1, Di = AA1, Do = d1, Du = dd1<br />

Da'e = ^P1, Da'i = ^^P1, Da'o = vP1, Da'u = vvP1, Da'a = ^^^P1<br />

etc.<br />

<br />

Imperfect intervals (2nd, 3rd, 6th and 7th): a = major, e = aug, i = double-aug, o = minor, u = dim<br />

Ra = M2, Re = A2, Ri = AA2, Ro = m2, Ru = d2<br />

Ra'e = ^M2, Ra'i = ^^M2, Ra'o = vM2, Ra'u = vvM2, Ra'a = ^^^M2<br />

etc.</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:TallKite|TallKite]] and made on <tt>2015-12-18 05:13:07 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2015-12-29 18:23:51 UTC</tt>.<br>
-: The original revision id was <tt>570454777</tt>.<br>
+: The original revision id was <tt>570885341</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>
@@ Line 720: / Line 720: @@
 D * * * E * F * * * G * * * A * * * B * C * * * D
 D - D^/Ebv - D#/Eb - D#^/Ev - E - E^/Fv - F - F^/Gbv - F#/Gb - F#^/Gv - G - G^/Abv - G#/Ab - G#^/Av - A etc.
-P1 - ^P1/vm2 - m2 - ^m2/vM2 - M2 - ^M2/vm3 - m3 - ^m3/vM3 - M3 - ^M3/vP4 - P4 - ^P4/vd5 - A4/d5 - ^A4/vP5 - P5 etc.</pre></div>
+P1 - ^P1/vm2 - m2 - ^m2/vM2 - M2 - ^M2/vm3 - m3 - ^m3/vM3 - M3 - ^M3/vP4 - P4 - ^P4/vd5 - A4/d5 - ^A4/vP5 - P5 etc.
+==Ups and downs solfege==
+Solfege (do-re-mi) can be adapted to indicate sharp/flat and up/down:
+The initial consonant remains as before: D, R, M, F, S, L and T
+The first vowel indicates sharp/flat: a = natural, e = #, i = ##, o = b, u = bb
+The vowels are pronounced as in Spanish or Italian
+The pitch from ## to bb follows the natural vowel spectrum i-e-a-o-u
+The optional 2nd vowel indicates up/down: a = ^^^, e = ^, i = ^^, o = v, u = vv
+The 2nd vowel is separated from the first by either a glottal stop, an "h", a "w", or a "y"
+Thus C#v is Deo, pronounced as De'o or Deho or Dewo or Deyo.
+This suffices for many but not all edos, as some require triple sharps or quadruple ups.
+Fixed-do solfege:
+Da = C, De = C#, Di = C##, Do = Cb, Du =Cbb
+Da = C, Da'e = C^, Da'i = C^^, Da'o = Cv, Da'u = Cvv, Da'a = C^^^
+De = C#, De'e = C#^, De'i = C#^^, De'o = C#v, De'u = C#vv, De'a = C#^^^
+etc.
+Moveable-do solfege:
+The 2nd vowel is as before. The 1st vowel's meaning depends on the interval.
+Perfect intervals (tonic, 4th, 5th and octave): a = perfect, e= aug, i = double-aug, o = dim, u = double-dim
+Da = P1, De = A1, Di = AA1, Do = d1, Du = dd1
+Da'e = ^P1, Da'i = ^^P1, Da'o = vP1, Da'u = vvP1, Da'a = ^^^P1
+etc.
+Imperfect intervals (2nd, 3rd, 6th and 7th): a = major, e = aug, i = double-aug, o = minor, u = dim
+Ra = M2, Re = A2, Ri = AA2, Ro = m2, Ru = d2
+Ra'e = ^M2, Ra'i = ^^M2, Ra'o = vM2, Ra'u = vvM2, Ra'a = ^^^M2
+etc.</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;Ups and Downs Notation&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x&amp;quot;Ups and Downs&amp;quot; Notation"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;&amp;quot;Ups and Downs&amp;quot; Notation&lt;/h1&gt;
@@ Line 812: / Line 843: @@
 fourthwards EDOs aka Mavila EDOs, with a fifth less than 686¢&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:1380:&amp;lt;img src=&amp;quot;/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 1035px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png" alt="The fifth of EDOs 5-53.png" title="The fifth of EDOs 5-53.png" style="height: 1035px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1380 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:1382:&amp;lt;img src=&amp;quot;/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 1035px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/The%20fifth%20of%20EDOs%205-53.png/570450231/800x1035/The%20fifth%20of%20EDOs%205-53.png" alt="The fifth of EDOs 5-53.png" title="The fifth of EDOs 5-53.png" style="height: 1035px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1382 --&gt;&lt;br /&gt;
 &lt;br /&gt;
 This is in addition to the trivial EDOs, 1, 2, 3, 4 and 6, which can be notated with standard notation as a subset of 12-EDO. The fifth is defined as the nearest approximation to 3/2. There is a little leeway to this in certain EDOs like 18 which have two possible fifths with nearly equal accuracy.&lt;br /&gt;
@@ Line 992: / Line 1,023: @@
 &lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextLocalImageRule:1381:&amp;lt;img src=&amp;quot;/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 1035px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg" alt="Tibia in G with ^v, rygb 1.jpg" title="Tibia in G with ^v, rygb 1.jpg" style="height: 1035px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1381 --&gt;&lt;br /&gt;
+&lt;!-- ws:start:WikiTextLocalImageRule:1383:&amp;lt;img src=&amp;quot;/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 1035px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg/570451171/800x1035/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%201.jpg" alt="Tibia in G with ^v, rygb 1.jpg" title="Tibia in G with ^v, rygb 1.jpg" style="height: 1035px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1383 --&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;!-- ws:start:WikiTextLocalImageRule:1382:&amp;lt;img src=&amp;quot;/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 957px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg" alt="Tibia in G with ^v, rygb 2.jpg" title="Tibia in G with ^v, rygb 2.jpg" style="height: 957px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1382 --&gt;&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;&lt;!-- ws:start:WikiTextLocalImageRule:1384:&amp;lt;img src=&amp;quot;/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; style=&amp;quot;height: 957px; width: 800px;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg/570451199/800x957/Tibia%20in%20G%20with%20%5Ev%2C%20rygb%202.jpg" alt="Tibia in G with ^v, rygb 2.jpg" title="Tibia in G with ^v, rygb 2.jpg" style="height: 957px; width: 800px;" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:1384 --&gt;&lt;/h2&gt;
   &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt; &lt;/h2&gt;
   &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt; &lt;/h2&gt;
@@ Line 2,737: / Line 2,768: @@
 D * * * E * F * * * G * * * A * * * B * C * * * D&lt;br /&gt;
 D - D^/Ebv - D#/Eb - D#^/Ev - E - E^/Fv - F - F^/Gbv - F#/Gb - F#^/Gv - G - G^/Abv - G#/Ab - G#^/Av - A etc.&lt;br /&gt;
-P1 - ^P1/vm2 - m2 - ^m2/vM2 - M2 - ^M2/vm3 - m3 - ^m3/vM3 - M3 - ^M3/vP4 - P4 - ^P4/vd5 - A4/d5 - ^A4/vP5 - P5 etc.&lt;/body&gt;&lt;/html&gt;</pre></div>
+P1 - ^P1/vm2 - m2 - ^m2/vM2 - M2 - ^M2/vm3 - m3 - ^m3/vM3 - M3 - ^M3/vP4 - P4 - ^P4/vd5 - A4/d5 - ^A4/vP5 - P5 etc.&lt;br /&gt;
+&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="Summary of EDO notation-Ups and downs solfege"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Ups and downs solfege&lt;/h2&gt;
+ &lt;br /&gt;
+Solfege (do-re-mi) can be adapted to indicate sharp/flat and up/down:&lt;br /&gt;
+The initial consonant remains as before: D, R, M, F, S, L and T&lt;br /&gt;
+The first vowel indicates sharp/flat: a = natural, e = #, i = ##, o = b, u = bb&lt;br /&gt;
+The vowels are pronounced as in Spanish or Italian&lt;br /&gt;
+The pitch from ## to bb follows the natural vowel spectrum i-e-a-o-u&lt;br /&gt;
+The optional 2nd vowel indicates up/down: a = ^^^, e = ^, i = ^^, o = v, u = vv&lt;br /&gt;
+The 2nd vowel is separated from the first by either a glottal stop, an &amp;quot;h&amp;quot;, a &amp;quot;w&amp;quot;, or a &amp;quot;y&amp;quot;&lt;br /&gt;
+Thus C#v is Deo, pronounced as De'o or Deho or Dewo or Deyo.&lt;br /&gt;
+This suffices for many but not all edos, as some require triple sharps or quadruple ups.&lt;br /&gt;
+&lt;br /&gt;
+Fixed-do solfege:&lt;br /&gt;
+Da = C, De = C#, Di = C##, Do = Cb, Du =Cbb&lt;br /&gt;
+Da = C, Da'e = C^, Da'i = C^^, Da'o = Cv, Da'u = Cvv, Da'a = C^^^&lt;br /&gt;
+De = C#, De'e = C#^, De'i = C#^^, De'o = C#v, De'u = C#vv, De'a = C#^^^&lt;br /&gt;
+etc.&lt;br /&gt;
+&lt;br /&gt;
+Moveable-do solfege:&lt;br /&gt;
+The 2nd vowel is as before. The 1st vowel's meaning depends on the interval.&lt;br /&gt;
+Perfect intervals (tonic, 4th, 5th and octave): a = perfect, e= aug, i = double-aug, o = dim, u = double-dim&lt;br /&gt;
+Da = P1, De = A1, Di = AA1, Do = d1, Du = dd1&lt;br /&gt;
+Da'e = ^P1, Da'i = ^^P1, Da'o = vP1, Da'u = vvP1, Da'a = ^^^P1&lt;br /&gt;
+etc.&lt;br /&gt;
+&lt;br /&gt;
+Imperfect intervals (2nd, 3rd, 6th and 7th): a = major, e = aug, i = double-aug, o = minor, u = dim&lt;br /&gt;
+Ra = M2, Re = A2, Ri = AA2, Ro = m2, Ru = d2&lt;br /&gt;
+Ra'e = ^M2, Ra'i = ^^M2, Ra'o = vM2, Ra'u = vvM2, Ra'a = ^^^M2&lt;br /&gt;
+etc.&lt;/body&gt;&lt;/html&gt;</pre></div>