6L 7s
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2015-11-12 13:08:05 UTC.
- The original revision id was 566214679.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
This MOS is the chromatic scale of a family of temperaments which are index 2 subtemperaments of various meantone temperaments. It is a great early step into un-syntonic temperaments by virtue of this property, though admittedly Neutral thirds/Mohajira is greater in this respect if you don't mind essentially giving up major and minor seconds/sevenths and thirds/sixths (syntonic temperaments are index 2 subtemperaments of them) because it at least has an albitonic sized MOS which feels like a division of the octave, which cannot be said for the temperaments which this scale belongs to (Happy and Grumpy scales have a very strong period dysphoric feeling due to the common practice use of the equally divided chromatic scale, and Grumpy scales have it stronger because their small step is the the odd step out). ||||||~ Generator ||~ cents ||~ 3g ||~ 5g || || 2/13 || || || 184.615 || 553.846 || 923.077 || || 9/58 || || || 186.207 || 558.621 || 931.0345 || || || 16/103 || || 186.408 || 559.223 || 932.039 || || 7/45 || || || 186.667 || 560 || 933.333 || || || 19/122 || || 186.885 || 560.656 || 934.426 || || || 12/77 || || 187.013 || 561.039 || 935.065 || || || 17/109 || || 187.156 || 561.468 || 935.78 || || || 22/141 || || 187.234 || 561.702 || 936.17 || || 5/32 || || || 187.5 || 562.5 || 937.5 || || || 23/147 || || 187.755 || 563.265 || 938.7755 || || || || || 187.823 || 563.47 || 939.116 || || || 18/115 || || 187.826 || 563.478 || 939.103 || || || 13/83 || || 187.951 || 563.855 || 939.759 || || || || || 188.03 || 564.089 || 940.149 || || || 8/51 || || 188.235 || 564.706 || 941.1765 || || || || || 188.501 || 565.502 || 942.503 || || || 11/70 || || 188.571 || 565.714 || 942.857 || || || 14/89 || || 188.764 || 566.2921 || 943.82 || || || 17/108 || || 188.889 || 566.667 || 944.444 || || || 20/127 || || 188.976 || 566.929 || 944.882 || || || 23/146 || || 189.041 || 567.123 || 945.2055 || || || 26/165 || || 189.091 || 567.273 || 945.4545 || || || 29/184 || || 189.13 || 567.391 || 945.652 || || || 32/203 || || 189.163 || 567.488 || 945.813 || || || 35/222 || || 189.189 || 567.568 || 945.946 || || || 38/241 || || 189.212 || 567.635 || 946.037 || || 3/19 || || || 189.474 || 568.421 || 947.368 || || || 31/196 || || 189.796 || 568.388 || 948.98 || || || 28/177 || || 189.8305 || 568.4915 || 949.1525 || || || 25/158 || || 189.873 || 568.62 || 949.367 || || || 22/139 || || 189.928 || 569.784 || 949.64 || || || 19/120 || || 190 || 570 || 950 || || || 16/101 || || 190.099 || 570.297 || 950.495 || || || 13/82 || || 190.244 || 570.732 || 951.2195 || || || 10/63 || || 190.476 || 571.429 || 952.381 || || || || 17/107 || 190.654 || 571.963 || 953.271 || || || 7/44 || || 190.909 || 572.727 || 954.5455 || || || || 18/113 || 191.15 || 573.451 || 955.752 || || || || || 191.193 || 573.578 || 955.963 || || || 11/69 || || 191.304 || 573.913 || 956.522 || || || || || 191.42 || 574.26 || 957.1 || || || 15/94 || || 191.489 || 574.468 || 957.447 || || || 19/119 || || 191.597 || 574.79 || 957.983 || || || 23/144 || || 191.667 || 575 || 958.333 || || || 27/169 || || 191.716 || 575.148 || 958.58 || || || 31/194 || || 191.753 || 575.258 || 959.505 || || 4/25 || || || 192 || 576 || 960 || || || || || 192.263 || 576.789 || 961.315 || || || 21/131 || || 192.366 || 577.11 || 961.832 || || || 17/106 || || 192.453 || 577.3585 || 962.264 || || || 13/81 || || 192.592 || 577.778 || 962.963 || || || || 22/137 || 192.701 || 578.102 || 963.504 || || || 9/56 || || 192.857 || 578.571 || 964.286 || || || 14/87 || || 193.103 || 579.31 || 965.517 || || || 19/118 || || 193.22 || 579.661 || 966.102 || || 5/31 || || || 193.548 || 580.645 || 967.742 || || || 26/161 || || 193.789 || 581.3665 || 968.944 || || || 21/130 || || 193.846 || 581.5385 || 969.231 || || || 16/99 || || 193.94 || 581.818 || 969.697 || || || 11/68 || || 194.118 || 582.353 || 970.588 || || || 17/105 || || 194.286 || 582.857 || 971.143 || || 6/37 || || || 194.595 || 583.784 || 972.973 || || 1/6 || || || 200 || 600 || 1000 ||
Original HTML content:
<html><head><title>6L 7s</title></head><body>This MOS is the chromatic scale of a family of temperaments which are index 2 subtemperaments of various meantone temperaments. It is a great early step into un-syntonic temperaments by virtue of this property, though admittedly Neutral thirds/Mohajira is greater in this respect if you don't mind essentially giving up major and minor seconds/sevenths and thirds/sixths (syntonic temperaments are index 2 subtemperaments of them) because it at least has an albitonic sized MOS which feels like a division of the octave, which cannot be said for the temperaments which this scale belongs to (Happy and Grumpy scales have a very strong period dysphoric feeling due to the common practice use of the equally divided chromatic scale, and Grumpy scales have it stronger because their small step is the the odd step out).<br />
<table class="wiki_table">
<tr>
<th colspan="3">Generator<br />
</th>
<th>cents<br />
</th>
<th>3g<br />
</th>
<th>5g<br />
</th>
</tr>
<tr>
<td>2/13<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>184.615<br />
</td>
<td>553.846<br />
</td>
<td>923.077<br />
</td>
</tr>
<tr>
<td>9/58<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>186.207<br />
</td>
<td>558.621<br />
</td>
<td>931.0345<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>16/103<br />
</td>
<td><br />
</td>
<td>186.408<br />
</td>
<td>559.223<br />
</td>
<td>932.039<br />
</td>
</tr>
<tr>
<td>7/45<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>186.667<br />
</td>
<td>560<br />
</td>
<td>933.333<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>19/122<br />
</td>
<td><br />
</td>
<td>186.885<br />
</td>
<td>560.656<br />
</td>
<td>934.426<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>12/77<br />
</td>
<td><br />
</td>
<td>187.013<br />
</td>
<td>561.039<br />
</td>
<td>935.065<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/109<br />
</td>
<td><br />
</td>
<td>187.156<br />
</td>
<td>561.468<br />
</td>
<td>935.78<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>22/141<br />
</td>
<td><br />
</td>
<td>187.234<br />
</td>
<td>561.702<br />
</td>
<td>936.17<br />
</td>
</tr>
<tr>
<td>5/32<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>187.5<br />
</td>
<td>562.5<br />
</td>
<td>937.5<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>23/147<br />
</td>
<td><br />
</td>
<td>187.755<br />
</td>
<td>563.265<br />
</td>
<td>938.7755<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>187.823<br />
</td>
<td>563.47<br />
</td>
<td>939.116<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>18/115<br />
</td>
<td><br />
</td>
<td>187.826<br />
</td>
<td>563.478<br />
</td>
<td>939.103<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>13/83<br />
</td>
<td><br />
</td>
<td>187.951<br />
</td>
<td>563.855<br />
</td>
<td>939.759<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>188.03<br />
</td>
<td>564.089<br />
</td>
<td>940.149<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>8/51<br />
</td>
<td><br />
</td>
<td>188.235<br />
</td>
<td>564.706<br />
</td>
<td>941.1765<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>188.501<br />
</td>
<td>565.502<br />
</td>
<td>942.503<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/70<br />
</td>
<td><br />
</td>
<td>188.571<br />
</td>
<td>565.714<br />
</td>
<td>942.857<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>14/89<br />
</td>
<td><br />
</td>
<td>188.764<br />
</td>
<td>566.2921<br />
</td>
<td>943.82<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/108<br />
</td>
<td><br />
</td>
<td>188.889<br />
</td>
<td>566.667<br />
</td>
<td>944.444<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>20/127<br />
</td>
<td><br />
</td>
<td>188.976<br />
</td>
<td>566.929<br />
</td>
<td>944.882<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>23/146<br />
</td>
<td><br />
</td>
<td>189.041<br />
</td>
<td>567.123<br />
</td>
<td>945.2055<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>26/165<br />
</td>
<td><br />
</td>
<td>189.091<br />
</td>
<td>567.273<br />
</td>
<td>945.4545<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>29/184<br />
</td>
<td><br />
</td>
<td>189.13<br />
</td>
<td>567.391<br />
</td>
<td>945.652<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>32/203<br />
</td>
<td><br />
</td>
<td>189.163<br />
</td>
<td>567.488<br />
</td>
<td>945.813<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>35/222<br />
</td>
<td><br />
</td>
<td>189.189<br />
</td>
<td>567.568<br />
</td>
<td>945.946<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>38/241<br />
</td>
<td><br />
</td>
<td>189.212<br />
</td>
<td>567.635<br />
</td>
<td>946.037<br />
</td>
</tr>
<tr>
<td>3/19<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>189.474<br />
</td>
<td>568.421<br />
</td>
<td>947.368<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>31/196<br />
</td>
<td><br />
</td>
<td>189.796<br />
</td>
<td>568.388<br />
</td>
<td>948.98<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>28/177<br />
</td>
<td><br />
</td>
<td>189.8305<br />
</td>
<td>568.4915<br />
</td>
<td>949.1525<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>25/158<br />
</td>
<td><br />
</td>
<td>189.873<br />
</td>
<td>568.62<br />
</td>
<td>949.367<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>22/139<br />
</td>
<td><br />
</td>
<td>189.928<br />
</td>
<td>569.784<br />
</td>
<td>949.64<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>19/120<br />
</td>
<td><br />
</td>
<td>190<br />
</td>
<td>570<br />
</td>
<td>950<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>16/101<br />
</td>
<td><br />
</td>
<td>190.099<br />
</td>
<td>570.297<br />
</td>
<td>950.495<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>13/82<br />
</td>
<td><br />
</td>
<td>190.244<br />
</td>
<td>570.732<br />
</td>
<td>951.2195<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>10/63<br />
</td>
<td><br />
</td>
<td>190.476<br />
</td>
<td>571.429<br />
</td>
<td>952.381<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>17/107<br />
</td>
<td>190.654<br />
</td>
<td>571.963<br />
</td>
<td>953.271<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>7/44<br />
</td>
<td><br />
</td>
<td>190.909<br />
</td>
<td>572.727<br />
</td>
<td>954.5455<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>18/113<br />
</td>
<td>191.15<br />
</td>
<td>573.451<br />
</td>
<td>955.752<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>191.193<br />
</td>
<td>573.578<br />
</td>
<td>955.963<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/69<br />
</td>
<td><br />
</td>
<td>191.304<br />
</td>
<td>573.913<br />
</td>
<td>956.522<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>191.42<br />
</td>
<td>574.26<br />
</td>
<td>957.1<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>15/94<br />
</td>
<td><br />
</td>
<td>191.489<br />
</td>
<td>574.468<br />
</td>
<td>957.447<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>19/119<br />
</td>
<td><br />
</td>
<td>191.597<br />
</td>
<td>574.79<br />
</td>
<td>957.983<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>23/144<br />
</td>
<td><br />
</td>
<td>191.667<br />
</td>
<td>575<br />
</td>
<td>958.333<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>27/169<br />
</td>
<td><br />
</td>
<td>191.716<br />
</td>
<td>575.148<br />
</td>
<td>958.58<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>31/194<br />
</td>
<td><br />
</td>
<td>191.753<br />
</td>
<td>575.258<br />
</td>
<td>959.505<br />
</td>
</tr>
<tr>
<td>4/25<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>192<br />
</td>
<td>576<br />
</td>
<td>960<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>192.263<br />
</td>
<td>576.789<br />
</td>
<td>961.315<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>21/131<br />
</td>
<td><br />
</td>
<td>192.366<br />
</td>
<td>577.11<br />
</td>
<td>961.832<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/106<br />
</td>
<td><br />
</td>
<td>192.453<br />
</td>
<td>577.3585<br />
</td>
<td>962.264<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>13/81<br />
</td>
<td><br />
</td>
<td>192.592<br />
</td>
<td>577.778<br />
</td>
<td>962.963<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>22/137<br />
</td>
<td>192.701<br />
</td>
<td>578.102<br />
</td>
<td>963.504<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>9/56<br />
</td>
<td><br />
</td>
<td>192.857<br />
</td>
<td>578.571<br />
</td>
<td>964.286<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>14/87<br />
</td>
<td><br />
</td>
<td>193.103<br />
</td>
<td>579.31<br />
</td>
<td>965.517<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>19/118<br />
</td>
<td><br />
</td>
<td>193.22<br />
</td>
<td>579.661<br />
</td>
<td>966.102<br />
</td>
</tr>
<tr>
<td>5/31<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>193.548<br />
</td>
<td>580.645<br />
</td>
<td>967.742<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>26/161<br />
</td>
<td><br />
</td>
<td>193.789<br />
</td>
<td>581.3665<br />
</td>
<td>968.944<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>21/130<br />
</td>
<td><br />
</td>
<td>193.846<br />
</td>
<td>581.5385<br />
</td>
<td>969.231<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>16/99<br />
</td>
<td><br />
</td>
<td>193.94<br />
</td>
<td>581.818<br />
</td>
<td>969.697<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/68<br />
</td>
<td><br />
</td>
<td>194.118<br />
</td>
<td>582.353<br />
</td>
<td>970.588<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/105<br />
</td>
<td><br />
</td>
<td>194.286<br />
</td>
<td>582.857<br />
</td>
<td>971.143<br />
</td>
</tr>
<tr>
<td>6/37<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>194.595<br />
</td>
<td>583.784<br />
</td>
<td>972.973<br />
</td>
</tr>
<tr>
<td>1/6<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>200<br />
</td>
<td>600<br />
</td>
<td>1000<br />
</td>
</tr>
</table>
</body></html>