1ed88c: Difference between revisions
Wikispaces>vaisvil **Imported revision 236446442 - Original comment: ** |
Wikispaces>Andrew_Heathwaite **Imported revision 252536858 - 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: | : This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-09-09 21:59:09 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>252536858</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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Eight steps of 88 cents gives 704 cents, two cents sharp of 3/2, and eighteen gives 1584 cents, two cents flat of 5/2. Taken together this tells us that (5/2)^4/(3/2)^9 = 20000/19683, the minimal diesis or tetracot comma, must be being tempered out. Eleven steps of 88 cents gives 968 cents, less than a cent flat of 7/4, and this tells us that (7/4)^8/(3/2)^11 = 5764801/5668704 must be tempered out also. Taking this, multiplying it by the tetracot comma and taking the fourth root yields 245/243, which therefore must be tempered out also. The tetracot comma and 245/243 taken together define 7-limit octacot. | Eight steps of 88 cents gives 704 cents, two cents sharp of 3/2, and eighteen gives 1584 cents, two cents flat of 5/2. Taken together this tells us that (5/2)^4/(3/2)^9 = 20000/19683, the minimal diesis or tetracot comma, must be being tempered out. Eleven steps of 88 cents gives 968 cents, less than a cent flat of 7/4, and this tells us that (7/4)^8/(3/2)^11 = 5764801/5668704 must be tempered out also. Taking this, multiplying it by the tetracot comma and taking the fourth root yields 245/243, which therefore must be tempered out also. The tetracot comma and 245/243 taken together define 7-limit octacot. | ||
Continuing on, twenty steps of 88 cents gives 1760 cents, | Continuing on, twenty steps of 88 cents gives 1760 cents, which we may compare to the 1751.3 cents of 11/4 and suggests 100/99 being tempered out, and four steps gives 352 cents, which may be compared to the 359.5 cents of 16/13, and suggests 325/324 being tempered out. These would give an extended octacot, for which 88 cents would be an excellent generator tuning. | ||
==The 88cET family== | |||
Gary Morrison originally conceived of 88cET as composed of steps of exactly 88¢. Nonetheless, composers have recognized a kinship between strict 88cET and some other scales -- in particular, the 41st root of 8 (equivalent to taking three steps of [[41edo]] as a generator with no octaves), the 8th root of 3/2, and the 11th root of 7/4, the latter being a preferred variant of composer and software designer X. J. Scott. These three cousins of strict 88cET have single steps of approximately 87.805¢, 87.744¢, and 88.075¢, respectively. These small differences add up, as can be seen by examining the interval list below. | |||
==Intervals== | ==Intervals== | ||
||~ Degree ||~ 11th root | |||
of 7/4 ||~ 88cET ||~ 41st root of 8 | |||
||~ Degree ||~ | (41ed8) ||~ 8th root | ||
||~ ||~ ||~ | of 3/2 ||~ Solfege ||~ Some Nearby || | ||
||||||||||||~ **//first octave//** || | ||~ ||~ ||~ ||~ ||~ ||~ syllable ||~ JI Intervals || | ||
|| 0 || 0 || 0 || 0 || do || 1/1=0 || | ||||||||||||~ **//first octave//** ||~ || | ||
|| 1 || 88 || 87.805 || 87.744 || rih || 22/21=80.537, 21/20=84.467, 20/19=88.801, 19/18=93.603 || | || 0 || 0 || 0 || 0 || 0 || do || 1/1=0 || | ||
|| 2 || 176 || 175.610 || 175.489 || reh || [[11_10|11/10]]=165.004, 21/19=173.268, [[10_9|10/9]]=182.404 || | || 1 || 88.075 || 88 || 87.805 || 87.744 || rih || 22/21=80.537, 21/20=84.467, 20/19=88.801, 19/18=93.603 || | ||
|| 3 || 264 || 263.415 || 263.233 || ma || [[7_6|7/6]]=266.871 || | || 2 || 176.15 || 176 || 175.610 || 175.489 || reh || [[11_10|11/10]]=165.004, 21/19=173.268, [[10_9|10/9]]=182.404 || | ||
|| 4 || 352 || 351.220 || 350.978 || mu || [[11_9|11/9]]= 347.408, 27/22=354.547, 16/13=359.472 || | || 3 || 264.225 || 264 || 263.415 || 263.233 || ma || [[7_6|7/6]]=266.871 || | ||
|| 5 || 440 || 439.024 || 438.722 || mo || 32/25=427.373, [[9_7|9/7]]=435.084, 22/17 446.363 || | || 4 || 352.3 || 352 || 351.220 || 350.978 || mu || [[11_9|11/9]]= 347.408, 27/22=354.547, 16/13=359.472 || | ||
|| 6 || 528 || 526.829 || 526.466 || fih || 19/14=528.687, 49/36=533.742, [[15_11|15/11]]=536.95 || | || 5 || 440.375 || 440 || 439.024 || 438.722 || mo || 32/25=427.373, [[9_7|9/7]]=435.084, 22/17 446.363 || | ||
|| 7 || 616 || 614.634 || 614.211 || se || [[10_7|10/7]]=617.488 || | || 6 || 528.45 || 528 || 526.829 || 526.466 || fih || 19/14=528.687, 49/36=533.742, [[15_11|15/11]]=536.95 || | ||
|| 8 || 704 || 702.439 || 701.955 || sol || [[3_2|3/2]]=701.955 || | || 7 || 616.526 || 616 || 614.634 || 614.211 || se || [[10_7|10/7]]=617.488 || | ||
|| 9 || 792 || 790.244 || 789.699 || leh || [[11_7|11/7]]=782.492, 30/19=790.756, 128/81=792.180, 19/12=795.558, 27/17=800.910, [[8_5|8/5]]=813.686 || | || 8 || 704.601 || 704 || 702.439 || 701.955 || sol || [[3_2|3/2]]=701.955 || | ||
|| 10 || 880 || 878.049 || 878.444 || la || [[5_3|5/3]]=884.359 || | || 9 || 792.676 || 792 || 790.244 || 789.699 || leh || [[11_7|11/7]]=782.492, 30/19=790.756, 128/81=792.180, 19/12=795.558, 27/17=800.910, [[8_5|8/5]]=813.686 || | ||
|| 11 || 968 || 965.854 || 965.188 || ta || [[7_4|7/4]]=968.826 || | || 10 || 880.751 || 880 || 878.049 || 878.444 || la || [[5_3|5/3]]=884.359 || | ||
|| 12 || 1056 || 1053.659 || 1052.933 || tu || [[11_6|11/6]]=1049.363, 35/19=1057.627, 24/13=1061.427 || | || 11 || 968.826 || 968 || 965.854 || 965.188 || ta || [[7_4|7/4]]=968.826 || | ||
|| 13 || 1144 || 1141.463 || 1140.677 || to || 27/14=1137.039, 31/16=1145.036 || | || 12 || 1056.901 || 1056 || 1053.659 || 1052.933 || tu || [[11_6|11/6]]=1049.363, 35/19=1057.627, 24/13=1061.427 || | ||
||||||||||||~ **//second octave//** || | || 13 || 1144.976 || 1144 || 1141.463 || 1140.677 || to || 27/14=1137.039, 31/16=1145.036 || | ||
|| 14 || 32 || 29.268 || 28.421 || di || 65/64=26.841, 64/63=27.264, 63/62=27.700, 58/57=30.109 || | ||||||||||||~ **//second octave//** ||~ || | ||
|| 15 || 120 || 117.073 || 116.166 || ra || 16/15=111.731, 15/14=119.443, 14/13=128.298 || | || 14 || 33.051 || 32 || 29.268 || 28.421 || di || 65/64=26.841, 64/63=27.264, 63/62=27.700, 58/57=30.109 || | ||
|| 16 || 208 || 204.878 || 203.910 || re || 9/8=203.910 || | || 15 || 121.126 || 120 || 117.073 || 116.166 || ra || 16/15=111.731, 15/14=119.443, 14/13=128.298 || | ||
|| 17 || 296 || 292.683 || 291.654 || meh || 13/11=289.210, 32/27=294.135, 19/16=297.513 || | || 16 || 209.201 || 208 || 204.878 || 203.910 || re || 9/8=203.910 || | ||
|| 18 || 384 || 380.488 || 379.399 || mi || 5/4=386.314 || | || 17 || 297.276 || 296 || 292.683 || 291.654 || meh || 13/11=289.210, 32/27=294.135, 19/16=297.513 || | ||
|| 19 || 472 || 468.293 || 467.143 || fe || 17/13=464.428, 21/16=470.781 || | || 18 || 385.351 || 384 || 380.488 || 379.399 || mi || 5/4=386.314 || | ||
|| 20 || 560 || 556.098 || 554.888 || fu || 11/8=551.318, 18/13=563.382 || | || 19 || 473.427 || 472 || 468.293 || 467.143 || fe || 17/13=464.428, 21/16=470.781 || | ||
|| 21 || 648 || 643.902 || 642.632 || su || 16/11=648.682 || | || 20 || 561.502 || 560 || 556.098 || 554.888 || fu || 11/8=551.318, 18/13=563.382 || | ||
|| 22 || 736 || 731.707 || 730.376 || si || 32/21=729.219, 26/17=735.572, 49/32=737.652 || | || 21 || 649.577 || 648 || 643.902 || 642.632 || su || 16/11=648.682 || | ||
|| 23 || 824 || 819.512 || 818.121 || le || 8/5=813.686, 45/28=821.398, 21/13=830.253 || | || 22 || 737.652 || 736 || 731.707 || 730.376 || si || 32/21=729.219, 26/17=735.572, 49/32=737.652 || | ||
|| 24 || 912 || 907.317 || 905.865 || laa || 42/25=898.153, 32/19=902.487, 27/16=905.865, 22/13=910.790, 17/10=918.642 || | || 23 || 825.727 || 824 || 819.512 || 818.121 || le || 8/5=813.686, 45/28=821.398, 21/13=830.253 || | ||
|| 25 || 1000 || 995.122 || 993.609 || teh || 39/22=991.165, 16/9=996.090, 25/14=1003.802, 34/19=1007.442 || | || 24 || 913.802 || 912 || 907.317 || 905.865 || laa || 42/25=898.153, 32/19=902.487, 27/16=905.865, 22/13=910.790, 17/10=918.642 || | ||
|| 26 || 1088 || 1082.927 || 1081.354 || ti || 28/15=1080.557, 15/8=1088.269 || | || 25 || 1001.877 || 1000 || 995.122 || 993.609 || teh || 39/22=991.165, 16/9=996.090, 25/14=1003.802, 34/19=1007.442 || | ||
|| 27 || 1176 || 1170.732 || 1169.098 || da || 63/32=1172.736, 160/81=1178.494 || | || 26 || 1089.952 || 1088 || 1082.927 || 1081.354 || ti || 28/15=1080.557, 15/8=1088.269 || | ||
||||||||||||~ **//third octave//** || | || 27 || 1178.027 || 1176 || 1170.732 || 1169.098 || da || 63/32=1172.736, 160/81=1178.494 || | ||
|| 28 || 64 || 58.537 || 56.843 || ro || 33/3253.273, 28/27=62.961, 80/77=66.170, 27/26=65.337 || | ||||||||||||~ **//third octave//** ||~ || | ||
|| 29 || 152 || 146.341 || 144.587 || ru || 49/45=147.428, 12/11=150.637, 35/32=155.140 || | || 28 || 66.102 || 64 || 58.537 || 56.843 || ro || 33/3253.273, 28/27=62.961, 80/77=66.170, 27/26=65.337 || | ||
|| 30 || 240 || 234.146 || 232.331 || ri || 8/7=231.174, 23/20=241.961, 15/13=247.741 || | || 29 || 154.177 || 152 || 146.341 || 144.587 || ru || 49/45=147.428, 12/11=150.637, 35/32=155.140 || | ||
|| 31 || 328 || 321.951 || 320.076 || me || 6/5=315.641, 23/19=330.761 || | || 30 || 242.252 || 240 || 234.146 || 232.331 || ri || 8/7=231.174, 23/20=241.961, 15/13=247.741 || | ||
|| 32 || 416 || 409.756 || 407.820 || maa || 81/64=407.820, 33/26=412.745, 14/11=417.508 || | || 31 || 330.328 || 328 || 321.951 || 320.076 || me || 6/5=315.641, 23/19=330.761 || | ||
|| 33 || 504 || 497.561 || 495.564 || fa || 85/64=491.269, 4/3=498.045, 75/56=505.757 || | || 32 || 418.403 || 416 || 409.756 || 407.820 || maa || 81/64=407.820, 33/26=412.745, 14/11=417.508 || | ||
|| 34 || 592 || 585.366 || 583.309 || fi || 7/5=582.512, 45/32=590.224, 38/27=591.648 || | || 33 || 506.478 || 504 || 497.561 || 495.564 || fa || 85/64=491.269, 4/3=498.045, 75/56=505.757 || | ||
|| 35 || 680 || 673.171 || 671.053 || sih || 28/19=671.313, 40/27=680.449 || | || 34 || 594.553 || 592 || 585.366 || 583.309 || fi || 7/5=582.512, 45/32=590.224, 38/27=591.648 || | ||
|| 36 || 768 || 760.976 || 758.798 || lo || 17/11=753.637, 99/64=755.228, 14/9=764.916, 39/25=769.855, 25/16=772.627 || | || 35 || 682.628 || 680 || 673.171 || 671.053 || sih || 28/19=671.313, 40/27=680.449 || | ||
|| 37 || 856 || 848.780 || 846.542 || lu || 13/8=840.528, 18/11=852.592 || | || 36 || 770.703 || 768 || 760.976 || 758.798 || lo || 17/11=753.637, 99/64=755.228, 14/9=764.916, 39/25=769.855, 25/16=772.627 || | ||
|| 38 || 944 || 936.585 || 934.286 || li || 12/7=933.129, 19/11=946.195 || | || 37 || 858.778 || 856 || 848.780 || 846.542 || lu || 13/8=840.528, 18/11=852.592 || | ||
|| 39 || 1032 || 1024.390 || 1022.031 || te || 9/5=1017.596, 49/27=1031.787, 20/11=1034.996 || | || 38 || 946.853 || 944 || 936.585 || 934.286 || li || 12/7=933.129, 19/11=946.195 || | ||
|| 40 || 1120 || 1112.195 || 1109.775 || taa || 36/19=1106.397, 243/128=1109.775, 19/10=1111.199, 21/11=1119.463 || | || 39 || 1034.928 || 1032 || 1024.390 || 1022.031 || te || 9/5=1017.596, 49/27=1031.787, 20/11=1034.996 || | ||
||||||||||||~ **//fourth octave//** (near match) || | || 40 || 1123.003 || 1120 || 1112.195 || 1109.775 || taa || 36/19=1106.397, 243/128=1109.775, 19/10=1111.199, 21/11=1119.463 || | ||
|| 41 || 8 || 0 || 1197.59 || do || 1/1=0, 2/1=1200 || | ||||||||||||~ **//fourth octave//** (near match) ||~ || | ||
|| 41 || 11.078 || 8 || 0 || 1197.59 || do || 1/1=0, 2/1=1200 || | |||
==Compositions== | ==Compositions== | ||
| Line 75: | Line 80: | ||
<span class="ymp-btn-page-play ymp-media-db5d569ced088a975707d1a1ba01c739">[[http://www.seraph.it/dep/int/88jinglebells.mp3|88 Jingle Bells]] </span> by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/495ec175ce56cf38cb399d1cd24db164-17.html|blog entry]]) | <span class="ymp-btn-page-play ymp-media-db5d569ced088a975707d1a1ba01c739">[[http://www.seraph.it/dep/int/88jinglebells.mp3|88 Jingle Bells]] </span> by [[Carlo Serafini]] ([[http://www.seraph.it/blog_files/495ec175ce56cf38cb399d1cd24db164-17.html|blog entry]]) | ||
<span class="ymp-btn-page-play ymp-media-e32c31e0585b669853d287adb8753ae8">[[http://micro.soonlabel.com/88cent_nonoctave/STE-004_88_cent_guitar.mp3|88 cent guitar improvisation]]</span> by [[@http://www.chrisvaisvil.com|Chris Vaisvil]] | <span class="ymp-btn-page-play ymp-media-e32c31e0585b669853d287adb8753ae8">[[http://micro.soonlabel.com/88cent_nonoctave/STE-004_88_cent_guitar.mp3|88 cent guitar improvisation]]</span> by [[@http://www.chrisvaisvil.com|Chris Vaisvil]] | ||
[[http://micro.soonlabel.com/88cent_nonoctave/Prelude_in_88_Cent_Tuning.mp3|A Simple Prelude for 88 Cent Piano]] by [[http://chrisvaisvil.com/?p=951|Chris Vaisvil]] ([[http://micro.soonlabel.com/88cent_nonoctave/A_Simple_Prelude_in_88_Cent_Tuning.pdf|scordata]])</pre></div> | <span class="ymp-btn-page-play ymp-media-bb747291b4a026593ee10b7c928912e4">[[http://micro.soonlabel.com/88cent_nonoctave/Prelude_in_88_Cent_Tuning.mp3|A Simple Prelude for 88 Cent Piano]]</span> by [[http://chrisvaisvil.com/?p=951|Chris Vaisvil]] ([[http://micro.soonlabel.com/88cent_nonoctave/A_Simple_Prelude_in_88_Cent_Tuning.pdf|scordata]])</pre></div> | ||
<h4>Original HTML content:</h4> | <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>88cET</title></head><body><!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="x88cET"></a><!-- ws:end:WikiTextHeadingRule:1 --><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/9458032?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;9458032&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://webplayer.yahooapis.com/player.js"> | <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>88cET</title></head><body><!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="x88cET"></a><!-- ws:end:WikiTextHeadingRule:1 --><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/9458032?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;9458032&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://webplayer.yahooapis.com/player.js"> | ||
| Line 86: | Line 91: | ||
Eight steps of 88 cents gives 704 cents, two cents sharp of 3/2, and eighteen gives 1584 cents, two cents flat of 5/2. Taken together this tells us that (5/2)^4/(3/2)^9 = 20000/19683, the minimal diesis or tetracot comma, must be being tempered out. Eleven steps of 88 cents gives 968 cents, less than a cent flat of 7/4, and this tells us that (7/4)^8/(3/2)^11 = 5764801/5668704 must be tempered out also. Taking this, multiplying it by the tetracot comma and taking the fourth root yields 245/243, which therefore must be tempered out also. The tetracot comma and 245/243 taken together define 7-limit octacot.<br /> | Eight steps of 88 cents gives 704 cents, two cents sharp of 3/2, and eighteen gives 1584 cents, two cents flat of 5/2. Taken together this tells us that (5/2)^4/(3/2)^9 = 20000/19683, the minimal diesis or tetracot comma, must be being tempered out. Eleven steps of 88 cents gives 968 cents, less than a cent flat of 7/4, and this tells us that (7/4)^8/(3/2)^11 = 5764801/5668704 must be tempered out also. Taking this, multiplying it by the tetracot comma and taking the fourth root yields 245/243, which therefore must be tempered out also. The tetracot comma and 245/243 taken together define 7-limit octacot.<br /> | ||
<br /> | <br /> | ||
Continuing on, twenty steps of 88 cents gives 1760 cents, | Continuing on, twenty steps of 88 cents gives 1760 cents, which we may compare to the 1751.3 cents of 11/4 and suggests 100/99 being tempered out, and four steps gives 352 cents, which may be compared to the 359.5 cents of 16/13, and suggests 325/324 being tempered out. These would give an extended octacot, for which 88 cents would be an excellent generator tuning.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="x88cET- | <!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="x88cET-The 88cET family"></a><!-- ws:end:WikiTextHeadingRule:5 -->The 88cET family</h2> | ||
<br /> | <br /> | ||
88cET | Gary Morrison originally conceived of 88cET as composed of steps of exactly 88¢. Nonetheless, composers have recognized a kinship between strict 88cET and some other scales -- in particular, the 41st root of 8 (equivalent to taking three steps of <a class="wiki_link" href="/41edo">41edo</a> as a generator with no octaves), the 8th root of 3/2, and the 11th root of 7/4, the latter being a preferred variant of composer and software designer X. J. Scott. These three cousins of strict 88cET have single steps of approximately 87.805¢, 87.744¢, and 88.075¢, respectively. These small differences add up, as can be seen by examining the interval list below.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:7:&lt;h2&gt; --><h2 id="toc3"><a name="x88cET-Intervals"></a><!-- ws:end:WikiTextHeadingRule:7 -->Intervals</h2> | |||
<br /> | |||
| Line 97: | Line 104: | ||
<tr> | <tr> | ||
<th>Degree<br /> | <th>Degree<br /> | ||
</th> | |||
<th>11th root<br /> | |||
of 7/4<br /> | |||
</th> | </th> | ||
<th>88cET<br /> | <th>88cET<br /> | ||
</th> | </th> | ||
<th> | <th>41st root of 8<br /> | ||
(41ed8)<br /> | |||
</th> | </th> | ||
<th>8th | <th>8th root<br /> | ||
of 3/2<br /> | |||
</th> | </th> | ||
<th> | <th>Solfege<br /> | ||
</th> | </th> | ||
<th>Some Nearby<br /> | <th>Some Nearby<br /> | ||
| Line 114: | Line 126: | ||
<th><br /> | <th><br /> | ||
</th> | </th> | ||
<th> | <th><br /> | ||
</th> | </th> | ||
<th> | <th><br /> | ||
</th> | |||
<th><br /> | |||
</th> | </th> | ||
<th>syllable<br /> | <th>syllable<br /> | ||
| Line 125: | Line 139: | ||
<tr> | <tr> | ||
<th colspan="6"><strong><em>first octave</em></strong><br /> | <th colspan="6"><strong><em>first octave</em></strong><br /> | ||
</th> | |||
<th><br /> | |||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>0<br /> | |||
</td> | |||
<td>0<br /> | <td>0<br /> | ||
</td> | </td> | ||
| Line 143: | Line 161: | ||
<tr> | <tr> | ||
<td>1<br /> | <td>1<br /> | ||
</td> | |||
<td>88.075<br /> | |||
</td> | </td> | ||
<td>88<br /> | <td>88<br /> | ||
| Line 157: | Line 177: | ||
<tr> | <tr> | ||
<td>2<br /> | <td>2<br /> | ||
</td> | |||
<td>176.15<br /> | |||
</td> | </td> | ||
<td>176<br /> | <td>176<br /> | ||
| Line 171: | Line 193: | ||
<tr> | <tr> | ||
<td>3<br /> | <td>3<br /> | ||
</td> | |||
<td>264.225<br /> | |||
</td> | </td> | ||
<td>264<br /> | <td>264<br /> | ||
| Line 185: | Line 209: | ||
<tr> | <tr> | ||
<td>4<br /> | <td>4<br /> | ||
</td> | |||
<td>352.3<br /> | |||
</td> | </td> | ||
<td>352<br /> | <td>352<br /> | ||
| Line 199: | Line 225: | ||
<tr> | <tr> | ||
<td>5<br /> | <td>5<br /> | ||
</td> | |||
<td>440.375<br /> | |||
</td> | </td> | ||
<td>440<br /> | <td>440<br /> | ||
| Line 213: | Line 241: | ||
<tr> | <tr> | ||
<td>6<br /> | <td>6<br /> | ||
</td> | |||
<td>528.45<br /> | |||
</td> | </td> | ||
<td>528<br /> | <td>528<br /> | ||
| Line 227: | Line 257: | ||
<tr> | <tr> | ||
<td>7<br /> | <td>7<br /> | ||
</td> | |||
<td>616.526<br /> | |||
</td> | </td> | ||
<td>616<br /> | <td>616<br /> | ||
| Line 241: | Line 273: | ||
<tr> | <tr> | ||
<td>8<br /> | <td>8<br /> | ||
</td> | |||
<td>704.601<br /> | |||
</td> | </td> | ||
<td>704<br /> | <td>704<br /> | ||
| Line 255: | Line 289: | ||
<tr> | <tr> | ||
<td>9<br /> | <td>9<br /> | ||
</td> | |||
<td>792.676<br /> | |||
</td> | </td> | ||
<td>792<br /> | <td>792<br /> | ||
| Line 269: | Line 305: | ||
<tr> | <tr> | ||
<td>10<br /> | <td>10<br /> | ||
</td> | |||
<td>880.751<br /> | |||
</td> | </td> | ||
<td>880<br /> | <td>880<br /> | ||
| Line 283: | Line 321: | ||
<tr> | <tr> | ||
<td>11<br /> | <td>11<br /> | ||
</td> | |||
<td>968.826<br /> | |||
</td> | </td> | ||
<td>968<br /> | <td>968<br /> | ||
| Line 297: | Line 337: | ||
<tr> | <tr> | ||
<td>12<br /> | <td>12<br /> | ||
</td> | |||
<td>1056.901<br /> | |||
</td> | </td> | ||
<td>1056<br /> | <td>1056<br /> | ||
| Line 311: | Line 353: | ||
<tr> | <tr> | ||
<td>13<br /> | <td>13<br /> | ||
</td> | |||
<td>1144.976<br /> | |||
</td> | </td> | ||
<td>1144<br /> | <td>1144<br /> | ||
| Line 325: | Line 369: | ||
<tr> | <tr> | ||
<th colspan="6"><strong><em>second octave</em></strong><br /> | <th colspan="6"><strong><em>second octave</em></strong><br /> | ||
</th> | |||
<th><br /> | |||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>14<br /> | <td>14<br /> | ||
</td> | |||
<td>33.051<br /> | |||
</td> | </td> | ||
<td>32<br /> | <td>32<br /> | ||
| Line 343: | Line 391: | ||
<tr> | <tr> | ||
<td>15<br /> | <td>15<br /> | ||
</td> | |||
<td>121.126<br /> | |||
</td> | </td> | ||
<td>120<br /> | <td>120<br /> | ||
| Line 357: | Line 407: | ||
<tr> | <tr> | ||
<td>16<br /> | <td>16<br /> | ||
</td> | |||
<td>209.201<br /> | |||
</td> | </td> | ||
<td>208<br /> | <td>208<br /> | ||
| Line 371: | Line 423: | ||
<tr> | <tr> | ||
<td>17<br /> | <td>17<br /> | ||
</td> | |||
<td>297.276<br /> | |||
</td> | </td> | ||
<td>296<br /> | <td>296<br /> | ||
| Line 385: | Line 439: | ||
<tr> | <tr> | ||
<td>18<br /> | <td>18<br /> | ||
</td> | |||
<td>385.351<br /> | |||
</td> | </td> | ||
<td>384<br /> | <td>384<br /> | ||
| Line 399: | Line 455: | ||
<tr> | <tr> | ||
<td>19<br /> | <td>19<br /> | ||
</td> | |||
<td>473.427<br /> | |||
</td> | </td> | ||
<td>472<br /> | <td>472<br /> | ||
| Line 413: | Line 471: | ||
<tr> | <tr> | ||
<td>20<br /> | <td>20<br /> | ||
</td> | |||
<td>561.502<br /> | |||
</td> | </td> | ||
<td>560<br /> | <td>560<br /> | ||
| Line 427: | Line 487: | ||
<tr> | <tr> | ||
<td>21<br /> | <td>21<br /> | ||
</td> | |||
<td>649.577<br /> | |||
</td> | </td> | ||
<td>648<br /> | <td>648<br /> | ||
| Line 441: | Line 503: | ||
<tr> | <tr> | ||
<td>22<br /> | <td>22<br /> | ||
</td> | |||
<td>737.652<br /> | |||
</td> | </td> | ||
<td>736<br /> | <td>736<br /> | ||
| Line 455: | Line 519: | ||
<tr> | <tr> | ||
<td>23<br /> | <td>23<br /> | ||
</td> | |||
<td>825.727<br /> | |||
</td> | </td> | ||
<td>824<br /> | <td>824<br /> | ||
| Line 469: | Line 535: | ||
<tr> | <tr> | ||
<td>24<br /> | <td>24<br /> | ||
</td> | |||
<td>913.802<br /> | |||
</td> | </td> | ||
<td>912<br /> | <td>912<br /> | ||
| Line 483: | Line 551: | ||
<tr> | <tr> | ||
<td>25<br /> | <td>25<br /> | ||
</td> | |||
<td>1001.877<br /> | |||
</td> | </td> | ||
<td>1000<br /> | <td>1000<br /> | ||
| Line 497: | Line 567: | ||
<tr> | <tr> | ||
<td>26<br /> | <td>26<br /> | ||
</td> | |||
<td>1089.952<br /> | |||
</td> | </td> | ||
<td>1088<br /> | <td>1088<br /> | ||
| Line 511: | Line 583: | ||
<tr> | <tr> | ||
<td>27<br /> | <td>27<br /> | ||
</td> | |||
<td>1178.027<br /> | |||
</td> | </td> | ||
<td>1176<br /> | <td>1176<br /> | ||
| Line 525: | Line 599: | ||
<tr> | <tr> | ||
<th colspan="6"><strong><em>third octave</em></strong><br /> | <th colspan="6"><strong><em>third octave</em></strong><br /> | ||
</th> | |||
<th><br /> | |||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>28<br /> | <td>28<br /> | ||
</td> | |||
<td>66.102<br /> | |||
</td> | </td> | ||
<td>64<br /> | <td>64<br /> | ||
| Line 543: | Line 621: | ||
<tr> | <tr> | ||
<td>29<br /> | <td>29<br /> | ||
</td> | |||
<td>154.177<br /> | |||
</td> | </td> | ||
<td>152<br /> | <td>152<br /> | ||
| Line 557: | Line 637: | ||
<tr> | <tr> | ||
<td>30<br /> | <td>30<br /> | ||
</td> | |||
<td>242.252<br /> | |||
</td> | </td> | ||
<td>240<br /> | <td>240<br /> | ||
| Line 571: | Line 653: | ||
<tr> | <tr> | ||
<td>31<br /> | <td>31<br /> | ||
</td> | |||
<td>330.328<br /> | |||
</td> | </td> | ||
<td>328<br /> | <td>328<br /> | ||
| Line 585: | Line 669: | ||
<tr> | <tr> | ||
<td>32<br /> | <td>32<br /> | ||
</td> | |||
<td>418.403<br /> | |||
</td> | </td> | ||
<td>416<br /> | <td>416<br /> | ||
| Line 599: | Line 685: | ||
<tr> | <tr> | ||
<td>33<br /> | <td>33<br /> | ||
</td> | |||
<td>506.478<br /> | |||
</td> | </td> | ||
<td>504<br /> | <td>504<br /> | ||
| Line 613: | Line 701: | ||
<tr> | <tr> | ||
<td>34<br /> | <td>34<br /> | ||
</td> | |||
<td>594.553<br /> | |||
</td> | </td> | ||
<td>592<br /> | <td>592<br /> | ||
| Line 627: | Line 717: | ||
<tr> | <tr> | ||
<td>35<br /> | <td>35<br /> | ||
</td> | |||
<td>682.628<br /> | |||
</td> | </td> | ||
<td>680<br /> | <td>680<br /> | ||
| Line 641: | Line 733: | ||
<tr> | <tr> | ||
<td>36<br /> | <td>36<br /> | ||
</td> | |||
<td>770.703<br /> | |||
</td> | </td> | ||
<td>768<br /> | <td>768<br /> | ||
| Line 655: | Line 749: | ||
<tr> | <tr> | ||
<td>37<br /> | <td>37<br /> | ||
</td> | |||
<td>858.778<br /> | |||
</td> | </td> | ||
<td>856<br /> | <td>856<br /> | ||
| Line 669: | Line 765: | ||
<tr> | <tr> | ||
<td>38<br /> | <td>38<br /> | ||
</td> | |||
<td>946.853<br /> | |||
</td> | </td> | ||
<td>944<br /> | <td>944<br /> | ||
| Line 683: | Line 781: | ||
<tr> | <tr> | ||
<td>39<br /> | <td>39<br /> | ||
</td> | |||
<td>1034.928<br /> | |||
</td> | </td> | ||
<td>1032<br /> | <td>1032<br /> | ||
| Line 697: | Line 797: | ||
<tr> | <tr> | ||
<td>40<br /> | <td>40<br /> | ||
</td> | |||
<td>1123.003<br /> | |||
</td> | </td> | ||
<td>1120<br /> | <td>1120<br /> | ||
| Line 711: | Line 813: | ||
<tr> | <tr> | ||
<th colspan="6"><strong><em>fourth octave</em></strong> (near match)<br /> | <th colspan="6"><strong><em>fourth octave</em></strong> (near match)<br /> | ||
</th> | |||
<th><br /> | |||
</th> | </th> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>41<br /> | <td>41<br /> | ||
</td> | |||
<td>11.078<br /> | |||
</td> | </td> | ||
<td>8<br /> | <td>8<br /> | ||
| Line 730: | Line 836: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="x88cET-Compositions"></a><!-- ws:end:WikiTextHeadingRule:9 -->Compositions</h2> | ||
<span class="ymp-btn-page-play ymp-media-495785593852bb775b5c611348abe945"><a class="wiki_link_ext" href="http://www.seraph.it/dep/det/88east.mp3" rel="nofollow">88 East</a> </span> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a><br /> | <span class="ymp-btn-page-play ymp-media-495785593852bb775b5c611348abe945"><a class="wiki_link_ext" href="http://www.seraph.it/dep/det/88east.mp3" rel="nofollow">88 East</a> </span> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a><br /> | ||
<span class="ymp-btn-page-play ymp-media-0eec9409132570e087858a748b80b969"><a class="wiki_link_ext" href="http://www.seraph.it/dep/det/88vocoeast.mp3" rel="nofollow">88 VocoEast</a> </span> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a><br /> | <span class="ymp-btn-page-play ymp-media-0eec9409132570e087858a748b80b969"><a class="wiki_link_ext" href="http://www.seraph.it/dep/det/88vocoeast.mp3" rel="nofollow">88 VocoEast</a> </span> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a><br /> | ||
| Line 736: | Line 842: | ||
<span class="ymp-btn-page-play ymp-media-db5d569ced088a975707d1a1ba01c739"><a class="wiki_link_ext" href="http://www.seraph.it/dep/int/88jinglebells.mp3" rel="nofollow">88 Jingle Bells</a> </span> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/495ec175ce56cf38cb399d1cd24db164-17.html" rel="nofollow">blog entry</a>)<br /> | <span class="ymp-btn-page-play ymp-media-db5d569ced088a975707d1a1ba01c739"><a class="wiki_link_ext" href="http://www.seraph.it/dep/int/88jinglebells.mp3" rel="nofollow">88 Jingle Bells</a> </span> by <a class="wiki_link" href="/Carlo%20Serafini">Carlo Serafini</a> (<a class="wiki_link_ext" href="http://www.seraph.it/blog_files/495ec175ce56cf38cb399d1cd24db164-17.html" rel="nofollow">blog entry</a>)<br /> | ||
<span class="ymp-btn-page-play ymp-media-e32c31e0585b669853d287adb8753ae8"><a class="wiki_link_ext" href="http://micro.soonlabel.com/88cent_nonoctave/STE-004_88_cent_guitar.mp3" rel="nofollow">88 cent guitar improvisation</a></span> by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow" target="_blank">Chris Vaisvil</a><br /> | <span class="ymp-btn-page-play ymp-media-e32c31e0585b669853d287adb8753ae8"><a class="wiki_link_ext" href="http://micro.soonlabel.com/88cent_nonoctave/STE-004_88_cent_guitar.mp3" rel="nofollow">88 cent guitar improvisation</a></span> by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com" rel="nofollow" target="_blank">Chris Vaisvil</a><br /> | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/88cent_nonoctave/Prelude_in_88_Cent_Tuning.mp3" rel="nofollow">A Simple Prelude for 88 Cent Piano</a> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=951" rel="nofollow">Chris Vaisvil</a> (<a class="wiki_link_ext" href="http://micro.soonlabel.com/88cent_nonoctave/A_Simple_Prelude_in_88_Cent_Tuning.pdf" rel="nofollow">scordata</a>)</body></html></pre></div> | <span class="ymp-btn-page-play ymp-media-bb747291b4a026593ee10b7c928912e4"><a class="wiki_link_ext" href="http://micro.soonlabel.com/88cent_nonoctave/Prelude_in_88_Cent_Tuning.mp3" rel="nofollow">A Simple Prelude for 88 Cent Piano</a></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=951" rel="nofollow">Chris Vaisvil</a> (<a class="wiki_link_ext" href="http://micro.soonlabel.com/88cent_nonoctave/A_Simple_Prelude_in_88_Cent_Tuning.pdf" rel="nofollow">scordata</a>)</body></html></pre></div> | ||