7L 6s: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 553696590 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 553708612 - Original comment: ** |
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Line 1: | Line 1: | ||
<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:JosephRuhf|JosephRuhf]] and made on <tt>2015-06-11 | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-06-11 15:09:56 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>553708612</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> | ||
<h4>Original Wikitext content:</h4> | <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">For most of its generator range, this MOS is the chromatic scale of the family of temperaments which divide the perfect fifth into four equal parts, thus representing 81:80 (the syntonic comma) by +7 generators. In fact, this comma, which may be exaggerated until the point where it is 60¢, appears as the difference between the generator and the disjunct tone and as the small step when the generator is flatter than 3/20edo. | <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">For most of its generator range, this MOS is the chromatic scale of the family of temperaments which divide the perfect fifth into four equal parts, thus representing 81:80 (the syntonic comma) by +7 or -13 generators. In fact, this comma, which may be exaggerated until the point where it is 60¢, appears as the difference between the generator and the disjunct tone and as the small step when the generator is flatter than 3/20edo. | ||
||||||~ Generator ||~ cents ||||~ Syntonic comma ||~ cents ||||||~ <span style="font-size: 12.8000001907349px;">Generator</span> || | ||||||~ Generator ||~ cents ||||~ Syntonic comma ||~ cents ||||||~ <span style="font-size: 12.8000001907349px;">Generator</span> || | ||
|| 1/7 || || || 171 3/7 ||||= 0 || 184 8/13 || || || 2/13 || | || 1/7 || || || 171 3/7 ||||= 0 || 184 8/13 || || || 2/13 || | ||
|| 6/41 || || || 175 25/41 || 29 11/41 || 20 20/59 || 183 3/59 || || || 9/59 || | || 6/41 || || || 175 25/41 || 29 11/41 || 20 20/59 || 183 3/59 || || || 9/59 || | ||
|| || 23/157 || || | || || 23/157 || || 175.796 || 30.573 || 21.525 || 182.96 || || 34/223 || || | ||
|| || 17/116 || || 175 25/29 || 31 1/29 || 21 39/41 || 182 38/41 || || 25/164 || || | || || 17/116 || || 175 25/29 || 31 1/29 || 21 39/41 || 182 38/41 || || 25/164 || || | ||
|| || 11/75 || || 176 || 32 || 22 6/7 || 182 6/7 || || 16/105 || || | || || 11/75 || || 176 || 32 || 22 6/7 || 182 6/7 || || 16/105 || || | ||
|| || 16/109 || || | || || 16/109 || || 176.147 || 33.0275 || 23.841 || 182.7815 || || 23/151 || || | ||
|| || 21/143 || || | || || 21/143 || || 176.224 || 33.5665 || 24.3655 || 182.721 || || 30/197 || || | ||
|| || 26/177 || || 176 16/59 || 33 53/59 || 24 56/81 || 182 20/27 || || 37/243 || || | || || 26/177 || || 176 16/59 || 33 53/59 || 24 56/81 || 182 20/27 || || 37/243 || || | ||
|| || 31/211 || || | || || 31/211 || || 176.303 || 34.171 || 24.9135 || 182.72 || || 44/289 || || | ||
|| || 36/245 || || 176 16/49 || 34 2/7 || 25 5/67 || 182 46/67 || || 51/335 || || | || || 36/245 || || 176 16/49 || 34 2/7 || 25 5/67 || 182 46/67 || || 51/335 || || | ||
|| 5/34 || || || 176 8/17 || 35 5/17 || 26 1/23 || 182 14/23 || || || 7/46 || | || 5/34 || || || 176 8/17 || 35 5/17 || 26 1/23 || 182 14/23 || || || 7/46 || | ||
|| || 24/163 || || | || || 24/163 || || 176.687 || 36.872 || 27.843 || 182.4885 || || 33/217 || || | ||
|| || 19/129 || || 176 32/43 || 37 9/43 || 28 4/57 || 182 26/57 || || 26/171 || || | || || 19/129 || || 176 32/43 || 37 9/43 || 28 4/57 || 182 26/57 || || 26/171 || || | ||
|| || 14/95 || || 176 16/19 || 37 17/19 || 28.8 || 182.4 || || 19/125 || || | || || 14/95 || || 176 16/19 || 37 17/19 || 28.8 || 182.4 || || 19/125 || || | ||
|| || || 23/156 || 176 12/13 || 38 6/13 || 29 7/17 || 182 6/17 || 31/204 || || || | || || || 23/156 || 176 12/13 || 38 6/13 || 29 7/17 || 182 6/17 || 31/204 || || || | ||
|| || 9/61 || || 177 3/61 || 39 21/61 || 30 30/79 || 182 22/79 || || 12/79 || || | || || 9/61 || || 177 3/61 || 39 21/61 || 30 30/79 || 182 22/79 || || 12/79 || || | ||
|| || || 22/149 || | || || || 22/149 || 177.181 || 40.2685 || 31.414 || 182.199 || 29/191 || || || | ||
|| || 13/88 || || 177 3/11 || 40 10/11 || 32 1/7 || 182 1/7 || || 17/112 || || | || || 13/88 || || 177 3/11 || 40 10/11 || 32 1/7 || 182 1/7 || || 17/112 || || | ||
|| || 17/115 || || 177 9/23 || 41 17/23 || 33 3/29 || 182 2/29 || || 22/145 || || | || || 17/115 || || 177 9/23 || 41 17/23 || 33 3/29 || 182 2/29 || || 22/145 || || | ||
|| || 21/142 || || 177 33/71 || 42 18/71 || 33 63/89 || 182 2/89 || || 27/178 || || | || || 21/142 || || 177 33/71 || 42 18/71 || 33 63/89 || 182 2/89 || || 27/178 || || | ||
|| || 25/169 || || | || || 25/169 || || 177.515 || 42.604 || 33.825 || 181.9905 || || 32/211 || || | ||
|| || 29/196 || || 177 27/49 || 42 6/7 || 34 26/61 || 181 59/61 || || 37/244 || || | || || 29/196 || || 177 27/49 || 42 6/7 || 34 26/61 || 181 59/61 || || 37/244 || || | ||
|| || || || 177. | || || || || 177.553 || 42.871 || 34.542 || 181.958 || || || || | ||
|| || 33/223 || || | || || 33/223 || || 177.5785 || 43.049 || 34.657 || 181.9495 || || 42/277 || || | ||
|| || 37/250 || || 177.6 || 43.2 || 34 26/31 || 181 29/31 || || 47/310 || || | || || 37/250 || || 177.6 || 43.2 || 34 26/31 || 181 29/31 || || 47/310 || || | ||
|| || 41/277 || || | || || 41/277 || || 177.617 || 43.321 || 34.985 || 181.924 || || 52/343 || || | ||
|| || 45/304 || || 177 12/19 || 43 8/19 || 35 5/47 || 181 43/47 || || 57/376 || || | || || 45/304 || || 177 12/19 || 43 8/19 || 35 5/47 || 181 43/47 || || 57/376 || || | ||
|| 4/27 || || || 177 7/9 || 44 4/9 || 36 4/11 || 181 9/11 || || || 5/33 || | || 4/27 || || || 177 7/9 || 44 4/9 || 36 4/11 || 181 9/11 || || || 5/33 || | ||
|| || 39/263 || || | || || 39/263 || || 177.947 || 45.585 || 37.539 || 181.7035 || || 48/317 || || | ||
|| || 35/236 || || 177 57/59 || 45 45/59 || 38 2/71 || 181 49/71 || || 43/284 || || | || || 35/236 || || 177 57/59 || 45 45/59 || 38 2/71 || 181 49/71 || || 43/284 || || | ||
|| || 31/209 || || | || || 31/209 || || 177.99 || 45.933 || 38.247 || 181.6733 || || 38/251 || || | ||
|| || 27/182 || || 178 2/91 || 46 2/13 | | || || 27/182 || || 178 2/91 || 46 2/13 || 38.514 || 181.651 || || 33/218 || || | ||
|| || 23/155 || || 178 2/31 || 46 14/31 || 38 34/37 || 181 23/37 || || 28/185 || || | || || 23/155 || || 178 2/31 || 46 14/31 || 38 34/37 || 181 23/37 || || 28/185 || || | ||
|| || 19/128 || || 178.125 || 46.875 || 39 9/19 || 181 11/19 || || 23/152 || || | || || 19/128 || || 178.125 || 46.875 || 39 9/19 || 181 11/19 || || 23/152 || || | ||
|| || 15/101 || || | || || 15/101 || || 178.218 || 47.525 || 40.336 || 181.513 || || 18/119 || || | ||
|| || || || 178. | || || || || 178.278 || 47.946 || 41.099 || 181.453 || || || || | ||
|| || 11/74 || || 178 14/37 || 48 24/37 || 41 37/43 || 181 17/43 || || 13/86 || || | || || 11/74 || || 178 14/37 || 48 24/37 || 41 37/43 || 181 17/43 || || 13/86 || || | ||
|| || || 29/195 || 178 6/13 || 49 3/13 || 42 2/3 || 181 1/3 || | || || || 29/195 || 178 6/13 || 49 3/13 || 42 2/3 || 181 1/3 || 34/225 || || || | ||
|| || 18/121 || || | || || 18/121 || || 178.512 || 49.587 || 43.1655 || 181.295 || || 21/139 || || | ||
|| || 25/168 || || 178 4/7 || 50 || 43.75 || 181.25 || || 29/192 || || | || || 25/168 || || 178 4/7 || 50 || 43.75 || 181.25 || || 29/192 || || | ||
|| || 32/215 || || 178 | || || 32/215 || || 178.605 || 50.233 || 44 4/49 || 181 11/49 || || 37/245 || || | ||
|| 7/47 || || || 178 34/47 || 51 3/47 || 45 15/53 || 181 7/53 || || || 8/53 || | || 7/47 || || || 178 34/47 || 51 3/47 || 45 15/53 || 181 7/53 || || || 8/53 || | ||
|| || 24/161 || || | || || 24/161 || || 178.882 || 52.174 || 46.927 || 181.006 || || 27/179 || || | ||
|| || 17/114 || || 178 18/19 || 52 12/19 || 47 13/21 || 180 20/21 || || 19/126 || || | || || 17/114 || || 178 18/19 || 52 12/19 || 47 13/21 || 180 20/21 || || 19/126 || || | ||
|| || 27/181 || || 179 1/181 || 53 7/181 || | || || 27/181 || || 179 1/181 || 53 7/181 || 48.241 || 180.814 || || 30/199 || || | ||
|| 10/67 || || || 179 7/67 || 53 49/67 || 49 23/73 || 180 42/73 || || || 11/73 || | || 10/67 || || || 179 7/67 || 53 49/67 || 49 23/73 || 180 42/73 || || || 11/73 || | ||
|| || 23/154 || || 179 17/77 || 54 6/11 || 50 50/83 || 180 42/83 || || 25/166 || || | || || 23/154 || || 179 17/77 || 54 6/11 || 50 50/83 || 180 42/83 || || 25/166 || || | ||
Line 58: | Line 58: | ||
|| 3/20 || || || 180 ||||= 60 || 180 || || || 3/20 ||</pre></div> | || 3/20 || || || 180 ||||= 60 || 180 || || || 3/20 ||</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>7L 6s</title></head><body>For most of its generator range, this MOS is the chromatic scale of the family of temperaments which divide the perfect fifth into four equal parts, thus representing 81:80 (the syntonic comma) by +7 generators. In fact, this comma, which may be exaggerated until the point where it is 60¢, appears as the difference between the generator and the disjunct tone and as the small step when the generator is flatter than 3/20edo.<br /> | <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>7L 6s</title></head><body>For most of its generator range, this MOS is the chromatic scale of the family of temperaments which divide the perfect fifth into four equal parts, thus representing 81:80 (the syntonic comma) by +7 or -13 generators. In fact, this comma, which may be exaggerated until the point where it is 60¢, appears as the difference between the generator and the disjunct tone and as the small step when the generator is flatter than 3/20edo.<br /> | ||
Line 123: | Line 123: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>175.796<br /> | ||
</td> | </td> | ||
<td> | <td>30.573<br /> | ||
</td> | </td> | ||
<td> | <td>21.525<br /> | ||
</td> | </td> | ||
<td> | <td>182.96<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 189: | Line 189: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>176.147<br /> | ||
</td> | </td> | ||
<td>33 | <td>33.0275<br /> | ||
</td> | </td> | ||
<td> | <td>23.841<br /> | ||
</td> | </td> | ||
<td> | <td>182.7815<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 211: | Line 211: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>176.224<br /> | ||
</td> | </td> | ||
<td> | <td>33.5665<br /> | ||
</td> | </td> | ||
<td> | <td>24.3655<br /> | ||
</td> | </td> | ||
<td> | <td>182.721<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 255: | Line 255: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>176.303<br /> | ||
</td> | </td> | ||
<td> | <td>34.171<br /> | ||
</td> | </td> | ||
<td> | <td>24.9135<br /> | ||
</td> | </td> | ||
<td> | <td>182.72<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 321: | Line 321: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>176.687<br /> | ||
</td> | </td> | ||
<td> | <td>36.872<br /> | ||
</td> | </td> | ||
<td> | <td>27.843<br /> | ||
</td> | </td> | ||
<td> | <td>182.4885<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 431: | Line 431: | ||
<td>22/149<br /> | <td>22/149<br /> | ||
</td> | </td> | ||
<td> | <td>177.181<br /> | ||
</td> | </td> | ||
<td> | <td>40.2685<br /> | ||
</td> | </td> | ||
<td> | <td>31.414<br /> | ||
</td> | </td> | ||
<td> | <td>182.199<br /> | ||
</td> | </td> | ||
<td>29/191<br /> | <td>29/191<br /> | ||
Line 519: | Line 519: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>177.515<br /> | ||
</td> | </td> | ||
<td> | <td>42.604<br /> | ||
</td> | </td> | ||
<td> | <td>33.825<br /> | ||
</td> | </td> | ||
<td> | <td>181.9905<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 563: | Line 563: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>177. | <td>177.553<br /> | ||
</td> | </td> | ||
<td>42. | <td>42.871<br /> | ||
</td> | </td> | ||
<td>34. | <td>34.542<br /> | ||
</td> | </td> | ||
<td>181. | <td>181.958<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 585: | Line 585: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>177.5785<br /> | ||
</td> | </td> | ||
<td> | <td>43.049<br /> | ||
</td> | </td> | ||
<td> | <td>34.657<br /> | ||
</td> | </td> | ||
<td> | <td>181.9495<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 629: | Line 629: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>177.617<br /> | ||
</td> | </td> | ||
<td> | <td>43.321<br /> | ||
</td> | </td> | ||
<td> | <td>34.985<br /> | ||
</td> | </td> | ||
<td> | <td>181.924<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 695: | Line 695: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>177.947<br /> | ||
</td> | </td> | ||
<td> | <td>45.585<br /> | ||
</td> | </td> | ||
<td> | <td>37.539<br /> | ||
</td> | </td> | ||
<td> | <td>181.7035<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 739: | Line 739: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>177.99<br /> | ||
</td> | </td> | ||
<td> | <td>45.933<br /> | ||
</td> | </td> | ||
<td> | <td>38.247<br /> | ||
</td> | </td> | ||
<td> | <td>181.6733<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 765: | Line 765: | ||
<td>46 2/13<br /> | <td>46 2/13<br /> | ||
</td> | </td> | ||
<td> | <td>38.514<br /> | ||
</td> | </td> | ||
<td> | <td>181.651<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 827: | Line 827: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>178.218<br /> | ||
</td> | </td> | ||
<td> | <td>47.525<br /> | ||
</td> | </td> | ||
<td> | <td>40.336<br /> | ||
</td> | </td> | ||
<td> | <td>181.513<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 849: | Line 849: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>178. | <td>178.278<br /> | ||
</td> | </td> | ||
<td>47. | <td>47.946<br /> | ||
</td> | </td> | ||
<td>41. | <td>41.099<br /> | ||
</td> | </td> | ||
<td>181. | <td>181.453<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 901: | Line 901: | ||
<td>181 1/3<br /> | <td>181 1/3<br /> | ||
</td> | </td> | ||
<td> | <td>34/225<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 915: | Line 915: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>178.512<br /> | ||
</td> | </td> | ||
<td> | <td>49.587<br /> | ||
</td> | </td> | ||
<td> | <td>43.1655<br /> | ||
</td> | </td> | ||
<td> | <td>181.295<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 959: | Line 959: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td>178 | <td>178.605<br /> | ||
</td> | </td> | ||
<td>50 | <td>50.233<br /> | ||
</td> | </td> | ||
<td>44 4/49<br /> | <td>44 4/49<br /> | ||
Line 1,003: | Line 1,003: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td> | <td>178.882<br /> | ||
</td> | </td> | ||
<td>52 | <td>52.174<br /> | ||
</td> | </td> | ||
<td> | <td>46.927<br /> | ||
</td> | </td> | ||
<td>181 | <td>181.006<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
Line 1,051: | Line 1,051: | ||
<td>53 7/181<br /> | <td>53 7/181<br /> | ||
</td> | </td> | ||
<td> | <td>48.241<br /> | ||
</td> | </td> | ||
<td> | <td>180.814<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> |