17edo: Difference between revisions

Wikispaces>alexanderness
**Imported revision 604573263 - Original comment: **
Wikispaces>TallKite
**Imported revision 606392031 - 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:alexanderness|alexanderness]] and made on <tt>2017-01-22 22:32:59 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-02-15 15:27:55 UTC</tt>.<br>
: The original revision id was <tt>604573263</tt>.<br>
: The original revision id was <tt>606392031</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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=Intervals=  
=Intervals=  
||~ Degree ||~ Names of
||~ Degree ||~ Cents ||~ Names of
Intervals ||||||~ [[Ups and Downs Notation|ups and downs ]][[Ups and Downs Notation|notation]] ||~ Cents ||~ Approximate
Intervals ||||||~ [[Ups and Downs Notation|ups and downs ]][[Ups and Downs Notation|notation]] ||~ Approximate
Ratios* ||~ Temperament(s)
Ratios* ||~ Temperament(s)
generated ||
generated ||
|| 0 || Unison || unison || P1 ||= C || 0 ||= 1/1 ||  ||
|| 0 || 0 || Unison ||= unison ||= P1 ||= C ||= 1/1 ||  ||
|| 1 || Super Unison/
|| 1 || 70.59 || Super Unison/
Minor Second || min 2nd || m2 ||= Db || 70.59 ||= [[25_24|25/24]], [[26_25|26/25]], [[33_32|33/32]] ||  ||
Minor Second ||= minor 2nd ||= m2 ||= Db ||= [[25_24|25/24]], [[26_25|26/25]], [[33_32|33/32]] ||  ||
|| 2 || Augmented Unison/
|| 2 || 141.18 || Augmented Unison/
Neutral Second || mid 2nd || ~2 ||= Dv || 141.18 ||= [[13_12|13/12]], [[12_11|12/11]], [[14_13|14/13]] || [[Bleu]] ||
Neutral Second ||= mid 2nd ||= ~2 ||= Dv ||= [[13_12|13/12]], [[12_11|12/11]], [[14_13|14/13]] || [[Bleu]] ||
|| 3 || Major Second/
|| 3 || 211.765 || Major Second/
Sub Third || maj 2nd || M2 ||= D || 211.765 ||= [[9_8|9/8]], [[25_22|25/22]], [[8_7|8/7]], [[28_25|28/25]] || [[Machine]] ||
Sub Third ||= major 2nd ||= M2 ||= D ||= [[9_8|9/8]], [[25_22|25/22]], [[8_7|8/7]], [[28_25|28/25]] || [[Machine]] ||
|| 4 || Minor Third/
|| 4 || 282.35 || Minor Third/
Super Second || min 3rd || m3 ||= Eb || 282.35 ||= [[13_11|13/11]], [[75_64|75/64]], [[7_6|7/6]] || [[Huxley]] ||
Super Second ||= minor 3rd ||= m3 ||= Eb ||= [[13_11|13/11]], [[75_64|75/64]], [[7_6|7/6]] || [[Huxley]] ||
|| 5 || Augmented Second/
|| 5 || 352.94 || Augmented Second/
Neutral Third/
Neutral Third/
Diminished Fourth || mid 3rd || ~3 ||= Ev || 352.94 ||= [[11_9|11/9]], [[16_13|16/13]] || [[Maqamic]]/[[hemif]] ||
Diminished Fourth ||= mid 3rd ||= ~3 ||= Ev ||= [[11_9|11/9]], [[16_13|16/13]] || [[Maqamic]]/[[hemif]] ||
|| 6 || Major Third/
|| 6 || 423.53 || Major Third/
Sub Fourth || maj 3rd || M3 ||= E || 423.53 ||= [[32_25|32/25]], [[33_26|33/26]], [[9_7|9/7]], [[14_11|14/11]], [[51_40|51/40]] || [[Skwares]] ||
Sub Fourth ||= major 3rd ||= M3 ||= E ||= [[32_25|32/25]], [[33_26|33/26]], [[9_7|9/7]], [[14_11|14/11]], [[51_40|51/40]] || [[Skwares]] ||
|| 7 || Perfect Fourth || perf 4th || P4 ||= F || 494.11 ||= [[4_3|4/3]] || [[Supra]] ||
|| 7 || 494.11 || Perfect Fourth ||= perfect 4th ||= P4 ||= F ||= [[4_3|4/3]] || [[Supra]] ||
|| 8 || Super Fourth
|| 8 || 564.71 || Super Fourth
Diminished Fifth || up 4th,
Diminished Fifth ||= up 4th,
dim 5th || ^4, d5 ||= F^, Gb || 564.71 ||= [[11_8|11/8]], 18/13 || [[Progress]] ||
diminished 5th ||= ^4, d5 ||= F^, Gb ||= [[11_8|11/8]], 18/13 || [[Progress]] ||
|| 9 || Augmented Fourth/
|| 9 || 635.29 || Augmented Fourth/
Sub Fifth || aug 4th,
Sub Fifth ||= augmented 4th,
down 5th || A4, v5 ||= F#, Gv || 635.29 ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress ||
down 5th ||= A4, v5 ||= F#, Gv ||= [[16_11|16/11]], 13/9, [[23_16|23/16]] || Progress ||
|| 10 || Perfect Fifth || perf 5th || P5 ||= G || 705.88 ||= [[3_2|3/2]] || Supra ||
|| 10 || 705.88 || Perfect Fifth ||= perfect 5th ||= P5 ||= G ||= [[3_2|3/2]] || Supra ||
|| 11 || Super Fifth/
|| 11 || 776.47 || Super Fifth/
Minor Sixth || min 6th || m6 ||= Ab || 776.47 ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares ||
Minor Sixth ||= minor 6th ||= m6 ||= Ab ||= 25/16, 52/33, 14/9, [[11_7|11/7]] || Skwares ||
|| 12 || Augmented Fifth/
|| 12 || 847.06 || Augmented Fifth/
Neutral Sixth/
Neutral Sixth/
Diminished Seventh || mid 6th || ~6 ||= Av || 847.06 ||= [[13_8|13/8]], 18/11 || Maqamic/hemif ||
Diminished Seventh ||= mid 6th ||= ~6 ||= Av ||= [[13_8|13/8]], 18/11 || Maqamic/hemif ||
|| 13 || Major Sixth/
|| 13 || 917.65 || Major Sixth/
Sub Seventh || maj 6th || M6 ||= A || 917.65 ||= [[17_10|17/10]], [[22_13|22/13]], 128/75, [[12_7|12/7]] || Huxley ||
Sub Seventh ||= major 6th ||= M6 ||= A ||= [[17_10|17/10]], [[22_13|22/13]], 128/75, [[12_7|12/7]] || Huxley ||
|| 14 || Minor Seventh/
|| 14 || 988.235 || Minor Seventh/
Super Sixth || min 7th || m7 ||= Bb || 988.235 ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine ||
Super Sixth ||= minor 7th ||= m7 ||= Bb ||= [[16_9|16/9]], 44/25, 7/4, 25/14 || Machine ||
|| 15 || Augmented Sixth/
|| 15 || 1058.82 || Augmented Sixth/
Neutral Seventh/
Neutral Seventh/
Diminished Octave || mid 7th || ~7 ||= Bv || 1058.82 ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu ||
Diminished Octave ||= mid 7th ||= ~7 ||= Bv ||= [[11_6|11/6]], 24/13, [[13_7|13/7]] || Bleu ||
|| 16 || Major Seventh/
|| 16 || 1129.41 || Major Seventh/
Sub Octave || maj 7th || M7 ||= B || 1129.41 ||= 25/13, 48/25, 64/33 ||  ||
Sub Octave ||= major 7th ||= M7 ||= B ||= 25/13, 48/25, 64/33 ||  ||
|| 17 || Perfect Octave || octave || P8 ||= C || 1200 ||= [[2_1|2/1]] ||  ||
|| 17 || 1200 || Perfect Octave ||= octave ||= P8 ||= C ||= [[2_1|2/1]] ||  ||


=Chord Names=  
=Chord Names=  


Ups and down notation can be used to name 17edo chords.
Ups and down notation can be used to name 17edo chords.
0-4-7-10 = C Eb F G = Cm(11) = C minor add eleven (approximates 6:7:8:9)
0-3-6-10 = C D E G = C(9) = C add nine (approximates 1/(6:7:8:9) = 1/1 - 9/8 - 9/7 - 3/2)
0-3-7-10 = C D F G = C4(9) = C four add nine
0-2-7-10 = C Dv F G = C4(v9) = C four add down-nine (approximates 12:13:16:18)
0-3-8-10 = C D F^ G = C.^4(9) = C up-four add nine (approximates 8:9:11:12)


0-4-10 = C Eb G = Cm = C minor
0-4-10 = C Eb G = Cm = C minor
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0-6-10-15 = C E G Bv = C(~7) = C mid seven
0-6-10-15 = C E G Bv = C(~7) = C mid seven
0-5-10-15 = C Ev G Bv = C.~7 = C dot mid seven
0-5-10-15 = C Ev G Bv = C.~7 = C dot mid seven
0-4-7-10 = C Eb F G = Cm(11) = C minor add eleven (approximates 6:7:8:9)
0-3-6-10 = C D E G = C(9) = C add nine (approximates 1/(6:7:8:9) = 1/1 - 9/8 - 9/7 - 3/2)
0-3-7-10 = C D F G = C4(9) = C four add nine
0-2-7-10 = C Dv F G = C4(v9) = C four add down-nine (approximates 12:13:16:18)
0-3-8-10 = C D F^ G = C.^4(9) = C up-four add nine (approximates 8:9:11:12)


For a more complete list, see [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]].
For a more complete list, see [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]].
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     &lt;tr&gt;
     &lt;tr&gt;
         &lt;th&gt;Degree&lt;br /&gt;
         &lt;th&gt;Degree&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Cents&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Names of&lt;br /&gt;
         &lt;th&gt;Names of&lt;br /&gt;
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&lt;/th&gt;
&lt;/th&gt;
         &lt;th colspan="3"&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;ups and downs &lt;/a&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;notation&lt;/a&gt;&lt;br /&gt;
         &lt;th colspan="3"&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;ups and downs &lt;/a&gt;&lt;a class="wiki_link" href="/Ups%20and%20Downs%20Notation"&gt;notation&lt;/a&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Cents&lt;br /&gt;
&lt;/th&gt;
&lt;/th&gt;
         &lt;th&gt;Approximate&lt;br /&gt;
         &lt;th&gt;Approximate&lt;br /&gt;
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     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
         &lt;td&gt;0&lt;br /&gt;
         &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Unison&lt;br /&gt;
         &lt;td&gt;Unison&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;unison&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;unison&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;P1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;0&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;1/1&lt;br /&gt;
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     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;1&lt;br /&gt;
         &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;70.59&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Super Unison/&lt;br /&gt;
         &lt;td&gt;Super Unison/&lt;br /&gt;
Minor Second&lt;br /&gt;
Minor Second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;min 2nd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;minor 2nd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;m2&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;m2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Db&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Db&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;70.59&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/25_24"&gt;25/24&lt;/a&gt;, &lt;a class="wiki_link" href="/26_25"&gt;26/25&lt;/a&gt;, &lt;a class="wiki_link" href="/33_32"&gt;33/32&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/25_24"&gt;25/24&lt;/a&gt;, &lt;a class="wiki_link" href="/26_25"&gt;26/25&lt;/a&gt;, &lt;a class="wiki_link" href="/33_32"&gt;33/32&lt;/a&gt;&lt;br /&gt;
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     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;2&lt;br /&gt;
         &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;141.18&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Unison/&lt;br /&gt;
         &lt;td&gt;Augmented Unison/&lt;br /&gt;
Neutral Second&lt;br /&gt;
Neutral Second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;mid 2nd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;mid 2nd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;~2&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;~2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Dv&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Dv&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;141.18&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/13_12"&gt;13/12&lt;/a&gt;, &lt;a class="wiki_link" href="/12_11"&gt;12/11&lt;/a&gt;, &lt;a class="wiki_link" href="/14_13"&gt;14/13&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/13_12"&gt;13/12&lt;/a&gt;, &lt;a class="wiki_link" href="/12_11"&gt;12/11&lt;/a&gt;, &lt;a class="wiki_link" href="/14_13"&gt;14/13&lt;/a&gt;&lt;br /&gt;
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     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;3&lt;br /&gt;
         &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;211.765&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Major Second/&lt;br /&gt;
         &lt;td&gt;Major Second/&lt;br /&gt;
Sub Third&lt;br /&gt;
Sub Third&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;maj 2nd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;major 2nd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;M2&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;M2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;D&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;211.765&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;, &lt;a class="wiki_link" href="/25_22"&gt;25/22&lt;/a&gt;, &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;, &lt;a class="wiki_link" href="/28_25"&gt;28/25&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/9_8"&gt;9/8&lt;/a&gt;, &lt;a class="wiki_link" href="/25_22"&gt;25/22&lt;/a&gt;, &lt;a class="wiki_link" href="/8_7"&gt;8/7&lt;/a&gt;, &lt;a class="wiki_link" href="/28_25"&gt;28/25&lt;/a&gt;&lt;br /&gt;
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     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;4&lt;br /&gt;
         &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;282.35&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Minor Third/&lt;br /&gt;
         &lt;td&gt;Minor Third/&lt;br /&gt;
Super Second&lt;br /&gt;
Super Second&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;min 3rd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;minor 3rd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;m3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;m3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Eb&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Eb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;282.35&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/13_11"&gt;13/11&lt;/a&gt;, &lt;a class="wiki_link" href="/75_64"&gt;75/64&lt;/a&gt;, &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/13_11"&gt;13/11&lt;/a&gt;, &lt;a class="wiki_link" href="/75_64"&gt;75/64&lt;/a&gt;, &lt;a class="wiki_link" href="/7_6"&gt;7/6&lt;/a&gt;&lt;br /&gt;
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     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;5&lt;br /&gt;
         &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;352.94&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Second/&lt;br /&gt;
         &lt;td&gt;Augmented Second/&lt;br /&gt;
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Diminished Fourth&lt;br /&gt;
Diminished Fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;mid 3rd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;mid 3rd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;~3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;~3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Ev&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Ev&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;352.94&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_9"&gt;11/9&lt;/a&gt;, &lt;a class="wiki_link" href="/16_13"&gt;16/13&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_9"&gt;11/9&lt;/a&gt;, &lt;a class="wiki_link" href="/16_13"&gt;16/13&lt;/a&gt;&lt;br /&gt;
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     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;6&lt;br /&gt;
         &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;423.53&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Major Third/&lt;br /&gt;
         &lt;td&gt;Major Third/&lt;br /&gt;
Sub Fourth&lt;br /&gt;
Sub Fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;maj 3rd&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;major 3rd&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;M3&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;M3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;E&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;E&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;423.53&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/32_25"&gt;32/25&lt;/a&gt;, &lt;a class="wiki_link" href="/33_26"&gt;33/26&lt;/a&gt;, &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt;, &lt;a class="wiki_link" href="/14_11"&gt;14/11&lt;/a&gt;, &lt;a class="wiki_link" href="/51_40"&gt;51/40&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/32_25"&gt;32/25&lt;/a&gt;, &lt;a class="wiki_link" href="/33_26"&gt;33/26&lt;/a&gt;, &lt;a class="wiki_link" href="/9_7"&gt;9/7&lt;/a&gt;, &lt;a class="wiki_link" href="/14_11"&gt;14/11&lt;/a&gt;, &lt;a class="wiki_link" href="/51_40"&gt;51/40&lt;/a&gt;&lt;br /&gt;
Line 404: Line 404:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;7&lt;br /&gt;
         &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;494.11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Perfect Fourth&lt;br /&gt;
         &lt;td&gt;Perfect Fourth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;perf 4th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;perfect 4th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;P4&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;F&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;F&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;494.11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/4_3"&gt;4/3&lt;/a&gt;&lt;br /&gt;
Line 422: Line 422:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;8&lt;br /&gt;
         &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;564.71&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Super Fourth&lt;br /&gt;
         &lt;td&gt;Super Fourth&lt;br /&gt;
Diminished Fifth&lt;br /&gt;
Diminished Fifth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;up 4th,&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;up 4th,&lt;br /&gt;
dim 5th&lt;br /&gt;
diminished 5th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;^4, d5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;^4, d5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;F^, Gb&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;F^, Gb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;564.71&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt;, 18/13&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_8"&gt;11/8&lt;/a&gt;, 18/13&lt;br /&gt;
Line 442: Line 442:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;9&lt;br /&gt;
         &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;635.29&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Fourth/&lt;br /&gt;
         &lt;td&gt;Augmented Fourth/&lt;br /&gt;
Sub Fifth&lt;br /&gt;
Sub Fifth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;aug 4th,&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;augmented 4th,&lt;br /&gt;
down 5th&lt;br /&gt;
down 5th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;A4, v5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A4, v5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;F#, Gv&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;F#, Gv&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;635.29&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/16_11"&gt;16/11&lt;/a&gt;, 13/9, &lt;a class="wiki_link" href="/23_16"&gt;23/16&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/16_11"&gt;16/11&lt;/a&gt;, 13/9, &lt;a class="wiki_link" href="/23_16"&gt;23/16&lt;/a&gt;&lt;br /&gt;
Line 462: Line 462:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;10&lt;br /&gt;
         &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.88&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Perfect Fifth&lt;br /&gt;
         &lt;td&gt;Perfect Fifth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;perf 5th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;perfect 5th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;P5&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;G&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;705.88&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/3_2"&gt;3/2&lt;/a&gt;&lt;br /&gt;
Line 480: Line 480:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;11&lt;br /&gt;
         &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;776.47&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Super Fifth/&lt;br /&gt;
         &lt;td&gt;Super Fifth/&lt;br /&gt;
Minor Sixth&lt;br /&gt;
Minor Sixth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;min 6th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;minor 6th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;m6&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;m6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Ab&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Ab&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;776.47&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;25/16, 52/33, 14/9, &lt;a class="wiki_link" href="/11_7"&gt;11/7&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;25/16, 52/33, 14/9, &lt;a class="wiki_link" href="/11_7"&gt;11/7&lt;/a&gt;&lt;br /&gt;
Line 499: Line 499:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;12&lt;br /&gt;
         &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;847.06&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Fifth/&lt;br /&gt;
         &lt;td&gt;Augmented Fifth/&lt;br /&gt;
Line 504: Line 506:
Diminished Seventh&lt;br /&gt;
Diminished Seventh&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;mid 6th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;mid 6th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;~6&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;~6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Av&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Av&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;847.06&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/13_8"&gt;13/8&lt;/a&gt;, 18/11&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/13_8"&gt;13/8&lt;/a&gt;, 18/11&lt;br /&gt;
Line 519: Line 519:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;13&lt;br /&gt;
         &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;917.65&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Major Sixth/&lt;br /&gt;
         &lt;td&gt;Major Sixth/&lt;br /&gt;
Sub Seventh&lt;br /&gt;
Sub Seventh&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;maj 6th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;major 6th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;M6&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;M6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;A&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;917.65&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/17_10"&gt;17/10&lt;/a&gt;, &lt;a class="wiki_link" href="/22_13"&gt;22/13&lt;/a&gt;, 128/75, &lt;a class="wiki_link" href="/12_7"&gt;12/7&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/17_10"&gt;17/10&lt;/a&gt;, &lt;a class="wiki_link" href="/22_13"&gt;22/13&lt;/a&gt;, 128/75, &lt;a class="wiki_link" href="/12_7"&gt;12/7&lt;/a&gt;&lt;br /&gt;
Line 538: Line 538:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;14&lt;br /&gt;
         &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;988.235&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Minor Seventh/&lt;br /&gt;
         &lt;td&gt;Minor Seventh/&lt;br /&gt;
Super Sixth&lt;br /&gt;
Super Sixth&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;min 7th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;minor 7th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;m7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;m7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Bb&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Bb&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;988.235&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/16_9"&gt;16/9&lt;/a&gt;, 44/25, 7/4, 25/14&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/16_9"&gt;16/9&lt;/a&gt;, 44/25, 7/4, 25/14&lt;br /&gt;
Line 557: Line 557:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;15&lt;br /&gt;
         &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1058.82&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Augmented Sixth/&lt;br /&gt;
         &lt;td&gt;Augmented Sixth/&lt;br /&gt;
Line 562: Line 564:
Diminished Octave&lt;br /&gt;
Diminished Octave&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;mid 7th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;mid 7th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;~7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;~7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;Bv&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;Bv&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1058.82&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_6"&gt;11/6&lt;/a&gt;, 24/13, &lt;a class="wiki_link" href="/13_7"&gt;13/7&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/11_6"&gt;11/6&lt;/a&gt;, 24/13, &lt;a class="wiki_link" href="/13_7"&gt;13/7&lt;/a&gt;&lt;br /&gt;
Line 577: Line 577:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;16&lt;br /&gt;
         &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1129.41&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Major Seventh/&lt;br /&gt;
         &lt;td&gt;Major Seventh/&lt;br /&gt;
Sub Octave&lt;br /&gt;
Sub Octave&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;maj 7th&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;major 7th&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;M7&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;M7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;B&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;B&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1129.41&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;25/13, 48/25, 64/33&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;25/13, 48/25, 64/33&lt;br /&gt;
Line 596: Line 596:
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;17&lt;br /&gt;
         &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1200&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Perfect Octave&lt;br /&gt;
         &lt;td&gt;Perfect Octave&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;octave&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;octave&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;P8&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;P8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;C&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1200&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/2_1"&gt;2/1&lt;/a&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;a class="wiki_link" href="/2_1"&gt;2/1&lt;/a&gt;&lt;br /&gt;
Line 618: Line 618:
  &lt;br /&gt;
  &lt;br /&gt;
Ups and down notation can be used to name 17edo chords.&lt;br /&gt;
Ups and down notation can be used to name 17edo chords.&lt;br /&gt;
&lt;br /&gt;
0-4-7-10 = C Eb F G = Cm(11) = C minor add eleven (approximates 6:7:8:9)&lt;br /&gt;
0-3-6-10 = C D E G = C(9) = C add nine (approximates 1/(6:7:8:9) = 1/1 - 9/8 - 9/7 - 3/2)&lt;br /&gt;
0-3-7-10 = C D F G = C4(9) = C four add nine&lt;br /&gt;
0-2-7-10 = C Dv F G = C4(v9) = C four add down-nine (approximates 12:13:16:18)&lt;br /&gt;
0-3-8-10 = C D F^ G = C.^4(9) = C up-four add nine (approximates 8:9:11:12)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
0-4-10 = C Eb G = Cm = C minor&lt;br /&gt;
0-4-10 = C Eb G = Cm = C minor&lt;br /&gt;
Line 637: Line 631:
0-6-10-15 = C E G Bv = C(~7) = C mid seven&lt;br /&gt;
0-6-10-15 = C E G Bv = C(~7) = C mid seven&lt;br /&gt;
0-5-10-15 = C Ev G Bv = C.~7 = C dot mid seven&lt;br /&gt;
0-5-10-15 = C Ev G Bv = C.~7 = C dot mid seven&lt;br /&gt;
&lt;br /&gt;
0-4-7-10 = C Eb F G = Cm(11) = C minor add eleven (approximates 6:7:8:9)&lt;br /&gt;
0-3-6-10 = C D E G = C(9) = C add nine (approximates 1/(6:7:8:9) = 1/1 - 9/8 - 9/7 - 3/2)&lt;br /&gt;
0-3-7-10 = C D F G = C4(9) = C four add nine&lt;br /&gt;
0-2-7-10 = C Dv F G = C4(v9) = C four add down-nine (approximates 12:13:16:18)&lt;br /&gt;
0-3-8-10 = C D F^ G = C.^4(9) = C up-four add nine (approximates 8:9:11:12)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
For a more complete list, see &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs"&gt;Ups and Downs Notation - Chord names in other EDOs&lt;/a&gt;.&lt;br /&gt;
For a more complete list, see &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs"&gt;Ups and Downs Notation - Chord names in other EDOs&lt;/a&gt;.&lt;br /&gt;