7L 6s
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author xenwolf and made on 2016-12-29 11:38:01 UTC.
- The original revision id was 602894418.
- The revision comment was: removed tel links
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
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> || || 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 || || || 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 || || || || 11/75 || || 176 || 32 || 22 6/7 || 182 6/7 || || 16/105 || || || || 16/109 || || 176.147 || 33.0275 || 23.841 || 182.7815 || || 23/151 || || || || 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 || || || || 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 || || || 5/34 || || || 176 8/17 || 35 5/17 || 26 1/23 || 182 14/23 || || || 7/46 || || || 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 || || || || 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 || || || || || 9/61 || || 177 3/61 || 39 21/61 || 30 30/79 || 182 22/79 || || 12/79 || || || || || 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 || || || || 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 || || || || 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 || || || || || || 177.553 || 42.871 || 34.542 || 181.958 || || || || || || 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 || || || || 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 || || || 4/27 || || || 177 7/9 || 44 4/9 || 36 4/11 || 181 9/11 || || || 5/33 || || || 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 || || || || 31/209 || || 177.99 || 45.933 || 38.247 || 181.673 || || 38/251 || || || || 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 || || || || 19/128 || || 178.125 || 46.875 || 39 9/19 || 181 11/19 || || 23/152 || || || || 15/101 || || 178.218 || 47.525 || 40.336 || 181.513 || || 18/119 || || || || || || 178.278 || 47.946 || 41.099 || 181.453 || || || || || || 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 || 34/225 || || || || || 18/121 || || 178.512 || 49.587 || 43.1655 || 181.295 || || 21/139 || || || || 25/168 || || 178 4/7 || 50 || 43.75 || 181.25 || || 29/192 || || || || 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 || || || 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 || || || || 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 || || || 23/154 || || 179 17/77 || 54 6/11 || 50 50/83 || 180 42/83 || || 25/166 || || || 13/87 || || || 179 9/29 || 55 5/29 || 51 19/31 || 180 14/31 || || || 14/93 || || 3/20 || || || 180 ||||= 60 || 180 || || || 3/20 ||
Original HTML content:
<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 />
<table class="wiki_table">
<tr>
<th colspan="3">Generator<br />
</th>
<th>cents<br />
</th>
<th colspan="2">Syntonic comma<br />
</th>
<th>cents<br />
</th>
<th colspan="3"><span style="font-size: 12.8000001907349px;">Generator</span><br />
</th>
</tr>
<tr>
<td>1/7<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>171 3/7<br />
</td>
<td colspan="2" style="text-align: center;">0<br />
</td>
<td>184 8/13<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>2/13<br />
</td>
</tr>
<tr>
<td>6/41<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>175 25/41<br />
</td>
<td>29 11/41<br />
</td>
<td>20 20/59<br />
</td>
<td>183 3/59<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>9/59<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>23/157<br />
</td>
<td><br />
</td>
<td>175.796<br />
</td>
<td>30.573<br />
</td>
<td>21.525<br />
</td>
<td>182.96<br />
</td>
<td><br />
</td>
<td>34/223<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/116<br />
</td>
<td><br />
</td>
<td>175 25/29<br />
</td>
<td>31 1/29<br />
</td>
<td>21 39/41<br />
</td>
<td>182 38/41<br />
</td>
<td><br />
</td>
<td>25/164<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/75<br />
</td>
<td><br />
</td>
<td>176<br />
</td>
<td>32<br />
</td>
<td>22 6/7<br />
</td>
<td>182 6/7<br />
</td>
<td><br />
</td>
<td>16/105<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>16/109<br />
</td>
<td><br />
</td>
<td>176.147<br />
</td>
<td>33.0275<br />
</td>
<td>23.841<br />
</td>
<td>182.7815<br />
</td>
<td><br />
</td>
<td>23/151<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>21/143<br />
</td>
<td><br />
</td>
<td>176.224<br />
</td>
<td>33.5665<br />
</td>
<td>24.3655<br />
</td>
<td>182.721<br />
</td>
<td><br />
</td>
<td>30/197<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>26/177<br />
</td>
<td><br />
</td>
<td>176 16/59<br />
</td>
<td>33 53/59<br />
</td>
<td>24 56/81<br />
</td>
<td>182 20/27<br />
</td>
<td><br />
</td>
<td>37/243<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>31/211<br />
</td>
<td><br />
</td>
<td>176.303<br />
</td>
<td>34.171<br />
</td>
<td>24.9135<br />
</td>
<td>182.72<br />
</td>
<td><br />
</td>
<td>44/289<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>36/245<br />
</td>
<td><br />
</td>
<td>176 16/49<br />
</td>
<td>34 2/7<br />
</td>
<td>25 5/67<br />
</td>
<td>182 46/67<br />
</td>
<td><br />
</td>
<td>51/335<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>5/34<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>176 8/17<br />
</td>
<td>35 5/17<br />
</td>
<td>26 1/23<br />
</td>
<td>182 14/23<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>7/46<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>24/163<br />
</td>
<td><br />
</td>
<td>176.687<br />
</td>
<td>36.872<br />
</td>
<td>27.843<br />
</td>
<td>182.4885<br />
</td>
<td><br />
</td>
<td>33/217<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>19/129<br />
</td>
<td><br />
</td>
<td>176 32/43<br />
</td>
<td>37 9/43<br />
</td>
<td>28 4/57<br />
</td>
<td>182 26/57<br />
</td>
<td><br />
</td>
<td>26/171<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>14/95<br />
</td>
<td><br />
</td>
<td>176 16/19<br />
</td>
<td>37 17/19<br />
</td>
<td>28.8<br />
</td>
<td>182.4<br />
</td>
<td><br />
</td>
<td>19/125<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>23/156<br />
</td>
<td>176 12/13<br />
</td>
<td>38 6/13<br />
</td>
<td>29 7/17<br />
</td>
<td>182 6/17<br />
</td>
<td>31/204<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>9/61<br />
</td>
<td><br />
</td>
<td>177 3/61<br />
</td>
<td>39 21/61<br />
</td>
<td>30 30/79<br />
</td>
<td>182 22/79<br />
</td>
<td><br />
</td>
<td>12/79<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>22/149<br />
</td>
<td>177.181<br />
</td>
<td>40.2685<br />
</td>
<td>31.414<br />
</td>
<td>182.199<br />
</td>
<td>29/191<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>13/88<br />
</td>
<td><br />
</td>
<td>177 3/11<br />
</td>
<td>40 10/11<br />
</td>
<td>32 1/7<br />
</td>
<td>182 1/7<br />
</td>
<td><br />
</td>
<td>17/112<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/115<br />
</td>
<td><br />
</td>
<td>177 9/23<br />
</td>
<td>41 17/23<br />
</td>
<td>33 3/29<br />
</td>
<td>182 2/29<br />
</td>
<td><br />
</td>
<td>22/145<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>21/142<br />
</td>
<td><br />
</td>
<td>177 33/71<br />
</td>
<td>42 18/71<br />
</td>
<td>33 63/89<br />
</td>
<td>182 2/89<br />
</td>
<td><br />
</td>
<td>27/178<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>25/169<br />
</td>
<td><br />
</td>
<td>177.515<br />
</td>
<td>42.604<br />
</td>
<td>33.825<br />
</td>
<td>181.9905<br />
</td>
<td><br />
</td>
<td>32/211<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>29/196<br />
</td>
<td><br />
</td>
<td>177 27/49<br />
</td>
<td>42 6/7<br />
</td>
<td>34 26/61<br />
</td>
<td>181 59/61<br />
</td>
<td><br />
</td>
<td>37/244<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>177.553<br />
</td>
<td>42.871<br />
</td>
<td>34.542<br />
</td>
<td>181.958<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>33/223<br />
</td>
<td><br />
</td>
<td>177.5785<br />
</td>
<td>43.049<br />
</td>
<td>34.657<br />
</td>
<td>181.9495<br />
</td>
<td><br />
</td>
<td>42/277<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>37/250<br />
</td>
<td><br />
</td>
<td>177.6<br />
</td>
<td>43.2<br />
</td>
<td>34 26/31<br />
</td>
<td>181 29/31<br />
</td>
<td><br />
</td>
<td>47/310<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>41/277<br />
</td>
<td><br />
</td>
<td>177.617<br />
</td>
<td>43.321<br />
</td>
<td>34.985<br />
</td>
<td>181.924<br />
</td>
<td><br />
</td>
<td>52/343<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>45/304<br />
</td>
<td><br />
</td>
<td>177 12/19<br />
</td>
<td>43 8/19<br />
</td>
<td>35 5/47<br />
</td>
<td>181 43/47<br />
</td>
<td><br />
</td>
<td>57/376<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>4/27<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>177 7/9<br />
</td>
<td>44 4/9<br />
</td>
<td>36 4/11<br />
</td>
<td>181 9/11<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>5/33<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>39/263<br />
</td>
<td><br />
</td>
<td>177.947<br />
</td>
<td>45.585<br />
</td>
<td>37.539<br />
</td>
<td>181.7035<br />
</td>
<td><br />
</td>
<td>48/317<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>35/236<br />
</td>
<td><br />
</td>
<td>177 57/59<br />
</td>
<td>45 45/59<br />
</td>
<td>38 2/71<br />
</td>
<td>181 49/71<br />
</td>
<td><br />
</td>
<td>43/284<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>31/209<br />
</td>
<td><br />
</td>
<td>177.99<br />
</td>
<td>45.933<br />
</td>
<td>38.247<br />
</td>
<td>181.673<br />
</td>
<td><br />
</td>
<td>38/251<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>27/182<br />
</td>
<td><br />
</td>
<td>178 2/91<br />
</td>
<td>46 2/13<br />
</td>
<td>38.514<br />
</td>
<td>181.651<br />
</td>
<td><br />
</td>
<td>33/218<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>23/155<br />
</td>
<td><br />
</td>
<td>178 2/31<br />
</td>
<td>46 14/31<br />
</td>
<td>38 34/37<br />
</td>
<td>181 23/37<br />
</td>
<td><br />
</td>
<td>28/185<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>19/128<br />
</td>
<td><br />
</td>
<td>178.125<br />
</td>
<td>46.875<br />
</td>
<td>39 9/19<br />
</td>
<td>181 11/19<br />
</td>
<td><br />
</td>
<td>23/152<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>15/101<br />
</td>
<td><br />
</td>
<td>178.218<br />
</td>
<td>47.525<br />
</td>
<td>40.336<br />
</td>
<td>181.513<br />
</td>
<td><br />
</td>
<td>18/119<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>178.278<br />
</td>
<td>47.946<br />
</td>
<td>41.099<br />
</td>
<td>181.453<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/74<br />
</td>
<td><br />
</td>
<td>178 14/37<br />
</td>
<td>48 24/37<br />
</td>
<td>41 37/43<br />
</td>
<td>181 17/43<br />
</td>
<td><br />
</td>
<td>13/86<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>29/195<br />
</td>
<td>178 6/13<br />
</td>
<td>49 3/13<br />
</td>
<td>42 2/3<br />
</td>
<td>181 1/3<br />
</td>
<td>34/225<br />
</td>
<td><br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>18/121<br />
</td>
<td><br />
</td>
<td>178.512<br />
</td>
<td>49.587<br />
</td>
<td>43.1655<br />
</td>
<td>181.295<br />
</td>
<td><br />
</td>
<td>21/139<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>25/168<br />
</td>
<td><br />
</td>
<td>178 4/7<br />
</td>
<td>50<br />
</td>
<td>43.75<br />
</td>
<td>181.25<br />
</td>
<td><br />
</td>
<td>29/192<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>32/215<br />
</td>
<td><br />
</td>
<td>178.605<br />
</td>
<td>50.233<br />
</td>
<td>44 4/49<br />
</td>
<td>181 11/49<br />
</td>
<td><br />
</td>
<td>37/245<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>7/47<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>178 34/47<br />
</td>
<td>51 3/47<br />
</td>
<td>45 15/53<br />
</td>
<td>181 7/53<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>8/53<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>24/161<br />
</td>
<td><br />
</td>
<td>178.882<br />
</td>
<td>52.174<br />
</td>
<td>46.927<br />
</td>
<td>181.006<br />
</td>
<td><br />
</td>
<td>27/179<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/114<br />
</td>
<td><br />
</td>
<td>178 18/19<br />
</td>
<td>52 12/19<br />
</td>
<td>47 13/21<br />
</td>
<td>180 20/21<br />
</td>
<td><br />
</td>
<td>19/126<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>27/181<br />
</td>
<td><br />
</td>
<td>179 1/181<br />
</td>
<td>53 7/181<br />
</td>
<td>48.241<br />
</td>
<td>180.814<br />
</td>
<td><br />
</td>
<td>30/199<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>10/67<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>179 7/67<br />
</td>
<td>53 49/67<br />
</td>
<td>49 23/73<br />
</td>
<td>180 42/73<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>11/73<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>23/154<br />
</td>
<td><br />
</td>
<td>179 17/77<br />
</td>
<td>54 6/11<br />
</td>
<td>50 50/83<br />
</td>
<td>180 42/83<br />
</td>
<td><br />
</td>
<td>25/166<br />
</td>
<td><br />
</td>
</tr>
<tr>
<td>13/87<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>179 9/29<br />
</td>
<td>55 5/29<br />
</td>
<td>51 19/31<br />
</td>
<td>180 14/31<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>14/93<br />
</td>
</tr>
<tr>
<td>3/20<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>180<br />
</td>
<td colspan="2" style="text-align: center;">60<br />
</td>
<td>180<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>3/20<br />
</td>
</tr>
</table>
</body></html>