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 2014-11-29 22:13:49 UTC.
- The original revision id was 533135832.
- 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 8/13 || 553 11/13 || 923 1/13 || || 9/58 || || || 186 6/29 || 558 18/29 || 931 1/29 || || || 16/103 || || 186 42/103 || 559 23/103 || 932 7/103 || || 7/45 || || || 186 2/3 || 560 || 933 1/3 || || || 19/122 || || 186 54/61 || 560 20/61 || 934 26/61 || || || 12/77 || || 187 1/77 || 561 3/77 || 935 5/77 || || || 17/109 || || 187 17/109 || 561 51/109 || 935 85/109 || || || 22/141 || || 187 11/47 || 561 33/47 || 936 8/47 || || 5/32 || || || 187.5 || 562.5 || 937.5 || || || 23/147 || || 187 37/49 || 563 13/49 || 938 38/49 || || || 18/115 || || 187 19/23 || 563 11/23 || 939 3/23 || || || 13/83 || || 188 6/83 || 564 18/83 || 940 30/83 || || || 8/51 || || 188 4/17 || 564 12/17 || 941 3/17 || || || 11/70 || || 188 4/7 || 565 5/7 || 942 6/7 || || || 14/89 || || 188 68/89 || 566 26/89 || 943 73/89 || || || 17/108 || || 188 8/9 || 566 2/3 || 944 4/9 || || || 20/127 || || 188 124/127 || 566 118/127 || 944 112/127 || || || 23/146 || || 189 3/73 || 567 9/73 || 945 15/73 || || || 26/165 || || 189 1/11 || 567 3/11 || 945 5/11 || || || 29/184 || || 189 3/23 || 567 9/23 || 945 15/23 || || || 32/203 || || 189 33/203 || 567 99/203 || 945 165/203 || || || 35/222 || || 189 7/37 || 567 21/37 || 945 35/37 || || || 38/241 || || 189 51/241 || 567 153/241 || 946 9/241 || || 3/19 || || || 189 9/19 || 568 8/19 || 947 7/19 || || || 31/196 || || 189 39/49 || 568 19/49 || 948 48/49 || || || 28/177 || || 189 49/59 || 568 29/59 || 949 9/59 || || || 25/158 || || 189 69/79 || 568 49/79 || 949 19/49 || || || 22/139 || || 189 129/130 || 569 109/139 || 949 89/139 || || || 19/120 || || 190 || 570 || 950 || || || 16/101 || || 190 10/101 || 570 30/101 || 950 50/101 || || || 13/82 || || 190 10/41 || 570 30/41 || 951 9/41 || || || 10/63 || || 190 10/21 || 571 3/7 || 952 8/21 || || || || 17/107 || 190 70/107 || 571 103/107 || 953 29/107 || || || 7/44 || || 190 10/11 || 572 8/11 || 954 6/11 || || || || 18/113 || 191 17/113 || 573 51/113 || 955 85/113 || || || 11/69 || || 191 7/23 || 573 21/23 || 956 12/23 || || || 15/94 || || 191 23/47 || 574 22/47 || 957 21/47 || || || 19/119 || || 191 71/119 || 574 94/119 || 957 117/119 || || || 23/144 || || 191 2/3 || 575 || 958 1/3 || || || 27/169 || || 191 121/169 || 575 25/169 || 958 98/169 || || || 31/194 || || 191 73/97 || 575 25/97 || 959 49/97 || || 4/25 || || || 192 || 576 || 960 || || || 21/131 || || 192 48/131 || 577 13/131 || 961 109/131 || || || 17/106 || || 192 24/53 || 577 19/53 || 962 19/53 || || || 13/81 || || 192 16/27 || 577 7/9 || 962 26/27 || || || || 22/137 || 192 96/137 || 578 14/137 || 963 69/137 || || || 9/56 || || 192 6/7 || 578 3/7 || 964 1/7 || || || 14/87 || || 193 3/29 || 579 9/29 || 965 15/29 || || || 19/118 || || 193 13/59 || 579 39/59 || 966 6/59 || || 5/31 || || || 193 17/31 || 580 20/31 || 967 23/31 || || || 26/161 || || 193 127/161 || 581 59/161 || 968 152/161 || || || 21/130 || || 193 11/13 || 581 7/13 || 969 3/13 || || || 16/99 || || 193 31/33 || 581 9/11 || 969 23/33 || || || 11/68 || || 194 2/17 || 582 6/17 || 970 10/17 || || || 17/105 || || 194 2/7 || 582 6/7 || 971 3/7 || || 6/37 || || || 194 22/37 || 583 29/37 || 972 36/37 || || 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 8/13<br />
</td>
<td>553 11/13<br />
</td>
<td>923 1/13<br />
</td>
</tr>
<tr>
<td>9/58<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>186 6/29<br />
</td>
<td>558 18/29<br />
</td>
<td>931 1/29<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>16/103<br />
</td>
<td><br />
</td>
<td>186 42/103<br />
</td>
<td>559 23/103<br />
</td>
<td>932 7/103<br />
</td>
</tr>
<tr>
<td>7/45<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>186 2/3<br />
</td>
<td>560<br />
</td>
<td>933 1/3<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>19/122<br />
</td>
<td><br />
</td>
<td>186 54/61<br />
</td>
<td>560 20/61<br />
</td>
<td>934 26/61<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>12/77<br />
</td>
<td><br />
</td>
<td>187 1/77<br />
</td>
<td>561 3/77<br />
</td>
<td>935 5/77<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/109<br />
</td>
<td><br />
</td>
<td>187 17/109<br />
</td>
<td>561 51/109<br />
</td>
<td>935 85/109<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>22/141<br />
</td>
<td><br />
</td>
<td>187 11/47<br />
</td>
<td>561 33/47<br />
</td>
<td>936 8/47<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 37/49<br />
</td>
<td>563 13/49<br />
</td>
<td>938 38/49<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>18/115<br />
</td>
<td><br />
</td>
<td>187 19/23<br />
</td>
<td>563 11/23<br />
</td>
<td>939 3/23<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>13/83<br />
</td>
<td><br />
</td>
<td>188 6/83<br />
</td>
<td>564 18/83<br />
</td>
<td>940 30/83<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>8/51<br />
</td>
<td><br />
</td>
<td>188 4/17<br />
</td>
<td>564 12/17<br />
</td>
<td>941 3/17<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/70<br />
</td>
<td><br />
</td>
<td>188 4/7<br />
</td>
<td>565 5/7<br />
</td>
<td>942 6/7<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>14/89<br />
</td>
<td><br />
</td>
<td>188 68/89<br />
</td>
<td>566 26/89<br />
</td>
<td>943 73/89<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/108<br />
</td>
<td><br />
</td>
<td>188 8/9<br />
</td>
<td>566 2/3<br />
</td>
<td>944 4/9<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>20/127<br />
</td>
<td><br />
</td>
<td>188 124/127<br />
</td>
<td>566 118/127<br />
</td>
<td>944 112/127<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>23/146<br />
</td>
<td><br />
</td>
<td>189 3/73<br />
</td>
<td>567 9/73<br />
</td>
<td>945 15/73<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>26/165<br />
</td>
<td><br />
</td>
<td>189 1/11<br />
</td>
<td>567 3/11<br />
</td>
<td>945 5/11<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>29/184<br />
</td>
<td><br />
</td>
<td>189 3/23<br />
</td>
<td>567 9/23<br />
</td>
<td>945 15/23<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>32/203<br />
</td>
<td><br />
</td>
<td>189 33/203<br />
</td>
<td>567 99/203<br />
</td>
<td>945 165/203<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>35/222<br />
</td>
<td><br />
</td>
<td>189 7/37<br />
</td>
<td>567 21/37<br />
</td>
<td>945 35/37<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>38/241<br />
</td>
<td><br />
</td>
<td>189 51/241<br />
</td>
<td>567 153/241<br />
</td>
<td>946 9/241<br />
</td>
</tr>
<tr>
<td>3/19<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>189 9/19<br />
</td>
<td>568 8/19<br />
</td>
<td>947 7/19<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>31/196<br />
</td>
<td><br />
</td>
<td>189 39/49<br />
</td>
<td>568 19/49<br />
</td>
<td>948 48/49<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>28/177<br />
</td>
<td><br />
</td>
<td>189 49/59<br />
</td>
<td>568 29/59<br />
</td>
<td>949 9/59<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>25/158<br />
</td>
<td><br />
</td>
<td>189 69/79<br />
</td>
<td>568 49/79<br />
</td>
<td>949 19/49<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>22/139<br />
</td>
<td><br />
</td>
<td>189 129/130<br />
</td>
<td>569 109/139<br />
</td>
<td>949 89/139<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 10/101<br />
</td>
<td>570 30/101<br />
</td>
<td>950 50/101<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>13/82<br />
</td>
<td><br />
</td>
<td>190 10/41<br />
</td>
<td>570 30/41<br />
</td>
<td>951 9/41<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>10/63<br />
</td>
<td><br />
</td>
<td>190 10/21<br />
</td>
<td>571 3/7<br />
</td>
<td>952 8/21<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>17/107<br />
</td>
<td>190 70/107<br />
</td>
<td>571 103/107<br />
</td>
<td>953 29/107<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>7/44<br />
</td>
<td><br />
</td>
<td>190 10/11<br />
</td>
<td>572 8/11<br />
</td>
<td>954 6/11<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>18/113<br />
</td>
<td>191 17/113<br />
</td>
<td>573 51/113<br />
</td>
<td>955 85/113<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/69<br />
</td>
<td><br />
</td>
<td>191 7/23<br />
</td>
<td>573 21/23<br />
</td>
<td>956 12/23<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>15/94<br />
</td>
<td><br />
</td>
<td>191 23/47<br />
</td>
<td>574 22/47<br />
</td>
<td>957 21/47<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>19/119<br />
</td>
<td><br />
</td>
<td>191 71/119<br />
</td>
<td>574 94/119<br />
</td>
<td>957 117/119<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>23/144<br />
</td>
<td><br />
</td>
<td>191 2/3<br />
</td>
<td>575<br />
</td>
<td>958 1/3<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>27/169<br />
</td>
<td><br />
</td>
<td>191 121/169<br />
</td>
<td>575 25/169<br />
</td>
<td>958 98/169<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>31/194<br />
</td>
<td><br />
</td>
<td>191 73/97<br />
</td>
<td>575 25/97<br />
</td>
<td>959 49/97<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>21/131<br />
</td>
<td><br />
</td>
<td>192 48/131<br />
</td>
<td>577 13/131<br />
</td>
<td>961 109/131<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/106<br />
</td>
<td><br />
</td>
<td>192 24/53<br />
</td>
<td>577 19/53<br />
</td>
<td>962 19/53<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>13/81<br />
</td>
<td><br />
</td>
<td>192 16/27<br />
</td>
<td>577 7/9<br />
</td>
<td>962 26/27<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td><br />
</td>
<td>22/137<br />
</td>
<td>192 96/137<br />
</td>
<td>578 14/137<br />
</td>
<td>963 69/137<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>9/56<br />
</td>
<td><br />
</td>
<td>192 6/7<br />
</td>
<td>578 3/7<br />
</td>
<td>964 1/7<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>14/87<br />
</td>
<td><br />
</td>
<td>193 3/29<br />
</td>
<td>579 9/29<br />
</td>
<td>965 15/29<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>19/118<br />
</td>
<td><br />
</td>
<td>193 13/59<br />
</td>
<td>579 39/59<br />
</td>
<td>966 6/59<br />
</td>
</tr>
<tr>
<td>5/31<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>193 17/31<br />
</td>
<td>580 20/31<br />
</td>
<td>967 23/31<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>26/161<br />
</td>
<td><br />
</td>
<td>193 127/161<br />
</td>
<td>581 59/161<br />
</td>
<td>968 152/161<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>21/130<br />
</td>
<td><br />
</td>
<td>193 11/13<br />
</td>
<td>581 7/13<br />
</td>
<td>969 3/13<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>16/99<br />
</td>
<td><br />
</td>
<td>193 31/33<br />
</td>
<td>581 9/11<br />
</td>
<td>969 23/33<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>11/68<br />
</td>
<td><br />
</td>
<td>194 2/17<br />
</td>
<td>582 6/17<br />
</td>
<td>970 10/17<br />
</td>
</tr>
<tr>
<td><br />
</td>
<td>17/105<br />
</td>
<td><br />
</td>
<td>194 2/7<br />
</td>
<td>582 6/7<br />
</td>
<td>971 3/7<br />
</td>
</tr>
<tr>
<td>6/37<br />
</td>
<td><br />
</td>
<td><br />
</td>
<td>194 22/37<br />
</td>
<td>583 29/37<br />
</td>
<td>972 36/37<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>