18edo: Difference between revisions

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-12-22 04:24:04 UTC</tt>.<br>

: The original revision id was <tt>602738708</tt>.<br>

|| Degree || Cents ||= 5L3s Notation ||||||= [[Ups and Downs Notation|up/down ]][[Ups and Downs Notation|notation]]

sharp lower than flat || Nearest Ratio || Error ||&lt; 17-Limit Ratios* ||

|| 1 || 66.67 ||= Db ||= C^, Dv ||= up-unison,

downmajor 2nd ||= ^P1, vM2 || 27/26 || +1.329 ||&lt; 78/75, 75/72 ||

|| 2 || 133.33 ||= C# ||= D ||= major 2nd ||= M2 || 27/25 || +0.096 ||&lt; 51/55, 42/39 ||

|| 3 || 200 ||= D ||= D^, Ev ||= mid 2nd ||= ~2 || 9/8 || -3.910 ||&lt; 9/8 ||

|| 4 || 266.67 ||= Eb ||= Db, E ||= minor 2nd,

major 3rd ||= m2, M3 || 7/6 || -0.204 ||&lt; 75/64 ||

|| 5 || 333.33 ||= D# ||= E^ ||= mid 3rd ||= ~3 || 17/14 or 40/33 || -2.796 +0.293 ||&lt; 39/32 ||

|| 6 || 400 ||= E ||= Eb, F# ||= minor 3rd,

augmented 4th ||= m3, A4 || 5/4 or 44/35 || +13.686 +3.822 ||&lt; 64/55 ||

|| 7 || 466.67 ||= F ||= Fv ||= upminor 3rd,

|| 8 || 533.33 ||= Gb ||= F ||= fourth ||= P4 || 15/11 || -3.617 ||&lt; 102/75 ||

|| 9 || 600 ||= F# ||= F^, Gv ||= upfourth,

downfifth ||= ^P4, vP5 || 17/12 or 24/17 || -3.000 +3.000 ||&lt; 17/12 ||

|| 10 || 666.67 ||= G ||= G ||= fifthj ||= P5 || 22/15 || +3.617 ||&lt; 75/51 ||

|| 11 || 733.33 ||= Hb ||= G^ ||= upfifth,

downmajor 6th ||= ^P5, vM6 || 32/21 || +4.114 ||&lt; 32/21 ||

|| 12 || 800 ||= G# ||= A ||= diminished 5th,

major 6th ||= d5, M6 || 8/5 or 35/22 || -13.686 -3.822 ||&lt; 51/32 ||

|| 13 || 866.67 ||= H ||= A^, Bv ||= mid 6th ||= ~6 || 28/17 or 33/20 || +2.796 -0.293 ||&lt; 64/39 ||

|| 14 || 933.33 ||= A ||= B ||= minor 6th,

major 7th ||= m6, M7 || 12/7 || +0.204 ||&lt; 55/32 ||

|| 15 || 1000 ||= Bb ||= B^ ||= mid 7th ||= ~7 || 16/9 || +3.910 ||&lt; 16/9 ||

|| 16 || 1066.67 ||= A# ||= Bb, C# ||= minor 7th ||= m7 || 50/27 || -0.096 ||&lt; 39/21 ||

|| 17 || 1133.33 ||= B ||= Cv ||= upminor 7th,

down-octave ||= ^m7, vP8 || 52/27 || -1.329 ||&lt; 75/39 ||

|| 18 || 1200 ||= C ||= C ||= octave ||= P8 || 2/1 || 0 ||&lt; 2/1** ||

18 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] &lt; 18 29 42 51 62 67 |.)

         &lt;td&gt;Error&lt;br /&gt;

         &lt;td&gt;66.67&lt;br /&gt;

         &lt;td&gt;133.33&lt;br /&gt;

         &lt;td&gt;266.67&lt;br /&gt;

         &lt;td&gt;333.33&lt;br /&gt;

         &lt;td&gt;466.67&lt;br /&gt;

         &lt;td&gt;533.33&lt;br /&gt;

         &lt;td&gt;666.67&lt;br /&gt;

         &lt;td&gt;733.33&lt;br /&gt;

         &lt;td&gt;866.67&lt;br /&gt;

         &lt;td&gt;933.33&lt;br /&gt;

         &lt;td&gt;1066.67&lt;br /&gt;

         &lt;td&gt;1133.33&lt;br /&gt;

  18 EDO &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; the following &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;s. (Note: This assumes the &lt;a class="wiki_link" href="/val"&gt;val&lt;/a&gt; &amp;lt; 18 29 42 51 62 67 |.)&lt;br /&gt;