Catalog of MOS: Difference between revisions
Wikispaces>genewardsmith **Imported revision 492885736 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 529195176 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2014-11-02 21:07:22 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>529195176</tt>.<br> | ||
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<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">Below is a list of MOS with number of elements from 5 to | <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">Below is a list of MOS with number of elements from 5 to 13, plus the names of some of the more significant MOS 11 and <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">larger </span><span style="font-size: 13px; line-height: 1.5;">.</span> | ||
|| [[PentatonicMOS|Pentatonic MOS]] || || || || || || || [[1L 4s]] || || [[2L 3s]] || || [[3L 2s]] || || [[4L 1s]] || || || || || || || | || [[PentatonicMOS|Pentatonic MOS]] || || || || || || || || || [[1L 4s]] || || [[2L 3s]] || || [[3L 2s]] || || [[4L 1s]] || || || || || || || || || | ||
|| [[HexatonicMOS|Hexatonic MOS]] || || || || || || [[1L 5s]] || || [[2L 4s]] || || [[3L 3s]] || || [[4L 2s]] || || [[5L 1s]] || || || || || || | || [[HexatonicMOS|Hexatonic MOS]] || || || || || || || || [[1L 5s]] || || [[2L 4s]] || || [[3L 3s]] || || [[4L 2s]] || || [[5L 1s]] || || || || || || || || | ||
|| [[HeptatonicMOS|Heptatonic MOS]] || || || || || [[1L 6s]] || || [[2L 5s]] || || [[3L 4s]] || || [[4L 3s]] || || [[5L 2s]] || || [[6L 1s]] || || || || || | || [[HeptatonicMOS|Heptatonic MOS]] || || || || || || || [[1L 6s]] || || [[2L 5s]] || || [[3L 4s]] || || [[4L 3s]] || || [[5L 2s]] || || [[6L 1s]] || || || || || || || | ||
|| [[OctatonicMOS|Octatonic MOS]] || || || || [[1L 7s]] || || [[2L 6s]] || || [[3L 5s]] || || [[4L 4s]] || || [[5L 3s]] || || [[6L 2s]] || || [[7L 1s]] || || || || | || [[OctatonicMOS|Octatonic MOS]] || || || || || || [[1L 7s]] || || [[2L 6s]] || || [[3L 5s]] || || [[4L 4s]] || || [[5L 3s]] || || [[6L 2s]] || || [[7L 1s]] || || || || || || | ||
|| [[NonatonicMOS|Nonatonic MOS]] || || || [[1L 8s]] || || [[2L 7s]] || || [[3L 6s]] || || [[4L 5s]] || || [[5L 4s]] || || [[6L 3s]] || || [[7L 2s]] || || [[8L 1s]] || || || | || [[NonatonicMOS|Nonatonic MOS]] || || || || || [[1L 8s]] || || [[2L 7s]] || || [[3L 6s]] || || [[4L 5s]] || || [[5L 4s]] || || [[6L 3s]] || || [[7L 2s]] || || [[8L 1s]] || || || || || | ||
|| [[DecatonicMOS|Decatonic MOS]] || || [[1L 9s]] || || [[2L 8s]] || || [[3L 7s]] || || [[4L 6s]] || || [[5L 5s]] || || [[6L 4s]] || || [[7L 3s]] || || [[8L 2s]] || || [[9L 1s]] || || | || [[DecatonicMOS|Decatonic MOS]] || || || || [[1L 9s]] || || [[2L 8s]] || || [[3L 7s]] || || [[4L 6s]] || || [[5L 5s]] || || [[6L 4s]] || || [[7L 3s]] || || [[8L 2s]] || || [[9L 1s]] || || || || | ||
|| [[Hendecatonic MOS]] || [[1L 10s]] || || [[2L 9s]] || || [[3L 8s]] || || [[4L 7s]] || || [[5L 6s]] || || [[6L 5s]] || || [[7L 4s]] || || [[8L 3s]] || || [[9L 2s]] || || [[10L 1s]] || | || [[Hendecatonic MOS]] || || || [[1L 10s]] || || [[2L 9s]] || || [[3L 8s]] || || [[4L 7s]] || || [[5L 6s]] || || [[6L 5s]] || || [[7L 4s]] || || [[8L 3s]] || || [[9L 2s]] || || [[10L 1s]] || || || | ||
|| [[Dodecatonic MOS]] || || [[1L 11s]] || || [[2L 10s]] || || [[3L 9s]] || || [[4L 8s]] || || [[5L 7s]] || || [[6L 6s|6]]<span style="font-size: 12.8000001907349px;">[[6L 6s|L 6s]]</span> || || [[7L 5s|7]]<span style="font-size: 12.8000001907349px;">[[7L 5s|L 5s]]</span> || || [[8L 4s|8]]<span style="font-size: 12.8000001907349px;">[[8L 4s|L 4s]]</span> || || [[9L 3s]] || || [[10L 2s]] || || [[11L 1s]] || || | |||
|| <span style="font-size: 12.8000001907349px;">[[Tridecatonic MOS]]</span> || [[1L 12s]] || || <span style="font-size: 12.8000001907349px;">[[xenharmonic/2L 10s|2L 11s]]</span> || || <span style="font-size: 12.8000001907349px;">[[3L 10s]]</span> || || <span style="font-size: 12.8000001907349px;">[[xenharmonic/4L 8s|4L 9s]]</span> || || [[5L 8s]] || || [[6L 6s|6L 7s]] || || <span style="font-size: 12.8000001907349px;">[[7L 6s|7]]<span style="font-size: 12.8000001907349px;">[[7L 6s|L 6s]]</span></span> || || <span style="font-size: 12.8000001907349px;">[[8L 5s|8]]<span style="font-size: 12.8000001907349px;">[[8L 5s|L 5s]]</span></span> || || <span style="font-size: 12.8000001907349px;">[[9L 4s]]</span> || || [[10L 3s|10]]<span style="font-size: 12.8000001907349px;">[[10L 3s|L 3s]]</span> || || [[11L 2s]] || || [[12L 1s]] || | |||
Sensi[11] [[[8L 3s]]] | Sensi[11] [[[8L 3s]]] | ||
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[[Trienstonic clan#Kangaroo|Kangaroo]][15] [[[13L 2s]]] | [[Trienstonic clan#Kangaroo|Kangaroo]][15] [[[13L 2s]]] | ||
Superkleismic[15] [[[11L 4s]]] | Superkleismic[15] [[[11L 4s]]] | ||
[[Augmented family#Augene|Augene]][15]: [[12L 3s]] | [[Augmented family#Augene|Augene]][15]: [[[12L 3s]]] | ||
[[Archytas clan#Blacksmith|Blacksmith]][15]: [[10L 5s]] | [[Archytas clan#Blacksmith|Blacksmith]][15]: [[[10L 5s]]] | ||
[[Augmented family#Triforce|Triforce]][15] [[[9L 6s]]] | [[Augmented family#Triforce|Triforce]][15] [[[9L 6s]]] | ||
Porcupine[15] [[[7L 8s]]] | Porcupine[15] [[[7L 8s]]] | ||
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Leapday[29], Grackle[29] [[[17L 12s]]] | Leapday[29], Grackle[29] [[[17L 12s]]] | ||
Garibaldi[29] [[[12L 17s]]]</pre></div> | Garibaldi[29] [[[12L 17s]]] | ||
Below is a list of single period MOS by lowest temperament with two <span style="line-height: 1.5;">non-trivial distinct scales.</span> | |||
|| 1L 1s || 2+3=5ed || || || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 11s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 7s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+11*12=133ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+7*12=89ed</span></span> || <span style="font-size: 12.8000001907349px;">11L 1s</span> | |||
<span style="font-size: 12.8000001907349px;">7L 5s</span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">23+11*12=155ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">19+7*12=103ed</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 17s</span></span> || <span style="font-size: 12.8000001907349px;">7+17*24=415ed</span> || | |||
|| 1L 2s | |||
<span style="font-size: 12.8000001907349px;">2L 1s</span> || 1+2*3=7ed | |||
<span style="font-size: 12.8000001907349px;">5+2*3=11ed</span> || || || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 12s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 11s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px; line-height: 1.5;">3L 10s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 9s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 8s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">6L 7s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+12*13=157ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+11*13=145ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+10*13=133ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4+9*13=121ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+8*13=109ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">6+7*13=97ed</span></span> || <span style="font-size: 12.8000001907349px;">12L 1s</span> | |||
<span style="font-size: 12.8000001907349px;">11L 2s</span> | |||
<span style="font-size: 12.8000001907349px;">10L 3s</span> | |||
<span style="font-size: 12.8000001907349px;">9L 4s</span> | |||
<span style="font-size: 12.8000001907349px;">8L 5s</span> | |||
<span style="font-size: 12.8000001907349px;">7L 6s</span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">25+12*13=181ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">24+11*13=167ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">23+10*13=153ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">22+9*13=139ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">21+8*13=125ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">20+7*13=111ed</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">6L 19s</span></span> || <span style="font-size: 12.8000001907349px;">6+19*25=481ed</span> || | |||
|| 1L 3s | |||
<span style="font-size: 12.8000001907349px;">3L 1s</span> || 1+3*4=13ed | |||
<span style="font-size: 12.8000001907349px;">7+3*4=19ed</span> || || || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 9s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">11L 3s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+9*14=131ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">25+11*14=179ed</span></span> || || || <span style="font-size: 12.8000001907349px;">14L 13s</span> || <span style="font-size: 12.8000001907349px;">41+14*27=419ed</span> || | |||
|| <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 4s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 3s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 2s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 1s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+4*5=21ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+3*5=17ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">8+3*5=23ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">9+4*5=29ed</span></span> || || || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 14s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 13s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 11s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 8s</span></span> || <span style="font-size: 12.8000001907349px;">1+14*15=211ed</span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+13*15=197ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4+11*15=169ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">8+7*15=113ed</span></span> || <span style="font-size: 12.8000001907349px;">13L 2s</span> | |||
<span style="font-size: 12.8000001907349px;">11L 4s</span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">28+13*15=223ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">26+11*15=191ed</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">12L 17s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">17L 12s</span></span> || <span style="font-size: 12.8000001907349px;">12+17*29=505ed</span> | |||
<span style="font-size: 12.8000001907349px;">41+17*29=534ed</span> || | |||
|| <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 5s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 1s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+5*6=31ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">11+5*6=41ed</span></span> || || || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 11s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+11*16=181ed</span></span> || || || || || | |||
|| <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 6s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 5s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 4s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+6*7=43ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+5*7=37ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+4*7=31ed</span></span> || <span style="font-size: 12.8000001907349px;">6L 1s</span> | |||
<span style="font-size: 12.8000001907349px;">5L 2s</span> | |||
<span style="font-size: 12.8000001907349px;">4L 3s</span> || <span style="font-size: 12.8000001907349px;">13+6*7=55ed</span> | |||
<span style="font-size: 12.8000001907349px;">12+5*7=47ed</span> | |||
<span style="font-size: 12.8000001907349px;">11+4*7=39ed</span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 10s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">10L 7s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">12L 5s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">14L 3s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7+10*17=177ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">27+10*17=197ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">29+12*17=233ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">31+14*17=269ed</span></span> || || || || || | |||
|| <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 7s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 5s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 3s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 1s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+7*8=57ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+5*8=43ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">13+5*8=53ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">15+7*8=71ed</span></span> || || || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 17s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 16s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 15s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">6L 13s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 12s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">8L 11s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+17*19=325ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+16*19=307ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4+15*19=289ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">6+13*19=253ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7+12*19=235ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">8+11*19=217ed</span></span> || <span style="font-size: 12.8000001907349px;">16L 3s</span> | |||
<span style="font-size: 12.8000001907349px;">12L 7s</span> | |||
<span style="font-size: 12.8000001907349px;">10L 9s</span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">35+16*19=339ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">31+12*19=259ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">29+10*19=219ed</span></span> || || || | |||
|| <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 8s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 7s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 5s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 4s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 2s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">8L 1s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+8*9=73ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+7*9=65ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4+5*9=49ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">14+5*9=59ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">16+7*9=79ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">17+8*9=89ed</span></span> || || || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 17s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+17*20=343ed</span></span> || || || || || | |||
|| <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 9s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 7s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 3s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">9L 1s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+9*10=91ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+7*10=73ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">17+7*10=87ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">19+9*10=109ed</span></span> || || || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 19s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 16s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">10L 11s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+19*21=401ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+16*21=341ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">10+11*21=241ed</span></span> || || || || || | |||
|| <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 10s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 9s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 8s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 7s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 6s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+10*11=111ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+9*11=101ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+8*11=91ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4+7*11=81ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+6*11=71ed</span></span> || <span style="font-size: 12.8000001907349px;">10L 1s</span> | |||
<span style="font-size: 12.8000001907349px;">9L 2s</span> | |||
<span style="font-size: 12.8000001907349px;">8L 3s</span> | |||
<span style="font-size: 12.8000001907349px;">7L 4s</span> | |||
<span style="font-size: 12.8000001907349px;">6L 5s</span> || <span style="font-size: 12.8000001907349px;">21+10*11=131ed</span> | |||
<span style="font-size: 12.8000001907349px;">20+9*11=119ed</span> | |||
<span style="font-size: 12.8000001907349px;">19+8*11=107ed</span> | |||
<span style="font-size: 12.8000001907349px;">18+7*11=95ed</span> | |||
<span style="font-size: 12.8000001907349px;">17+6*11=83ed</span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 15s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">9L 13s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">19L 3s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7+15*22=337ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">9+13*22=295ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px; line-height: 1.5;">41+19*22=459ed</span></span> || || || || || | |||
|| || || || || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 20s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">15L 8s</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">13L 10s</span></span> || <span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+20*23=463ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">38+15*23=389ed</span></span> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">36+13*23=365ed</span></span> || || || || || | |||
<span style="display: block; height: 1px; left: 0px; overflow: hidden; position: absolute; top: 1422.5px; width: 1px;"> | |||
|| <span style="font-size: 12.8000001907349px;">5L 11s</span> || <span style="font-size: 12.8000001907349px;">5+11*16=181ed</span> || | |||
</span></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>Catalog of MOS</title></head><body>Below is a list of MOS with number of elements from 5 to | <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>Catalog of MOS</title></head><body>Below is a list of MOS with number of elements from 5 to 13, plus the names of some of the more significant MOS 11 and <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">larger </span><span style="font-size: 13px; line-height: 1.5;">.</span><br /> | ||
<br /> | <br /> | ||
| Line 98: | Line 243: | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/PentatonicMOS">Pentatonic MOS</a><br /> | <td><a class="wiki_link" href="/PentatonicMOS">Pentatonic MOS</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 124: | Line 273: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/4L%201s">4L 1s</a><br /> | <td><a class="wiki_link" href="/4L%201s">4L 1s</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 140: | Line 293: | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/HexatonicMOS">Hexatonic MOS</a><br /> | <td><a class="wiki_link" href="/HexatonicMOS">Hexatonic MOS</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 168: | Line 325: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/5L%201s">5L 1s</a><br /> | <td><a class="wiki_link" href="/5L%201s">5L 1s</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 182: | Line 343: | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/HeptatonicMOS">Heptatonic MOS</a><br /> | <td><a class="wiki_link" href="/HeptatonicMOS">Heptatonic MOS</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 212: | Line 377: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/6L%201s">6L 1s</a><br /> | <td><a class="wiki_link" href="/6L%201s">6L 1s</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 224: | Line 393: | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/OctatonicMOS">Octatonic MOS</a><br /> | <td><a class="wiki_link" href="/OctatonicMOS">Octatonic MOS</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 256: | Line 429: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/7L%201s">7L 1s</a><br /> | <td><a class="wiki_link" href="/7L%201s">7L 1s</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 266: | Line 443: | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/NonatonicMOS">Nonatonic MOS</a><br /> | <td><a class="wiki_link" href="/NonatonicMOS">Nonatonic MOS</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 300: | Line 481: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/8L%201s">8L 1s</a><br /> | <td><a class="wiki_link" href="/8L%201s">8L 1s</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 308: | Line 493: | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/DecatonicMOS">Decatonic MOS</a><br /> | <td><a class="wiki_link" href="/DecatonicMOS">Decatonic MOS</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 344: | Line 533: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/9L%201s">9L 1s</a><br /> | <td><a class="wiki_link" href="/9L%201s">9L 1s</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 350: | Line 543: | ||
<tr> | <tr> | ||
<td><a class="wiki_link" href="/Hendecatonic%20MOS">Hendecatonic MOS</a><br /> | <td><a class="wiki_link" href="/Hendecatonic%20MOS">Hendecatonic MOS</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td><a class="wiki_link" href="/1L%2010s">1L 10s</a><br /> | <td><a class="wiki_link" href="/1L%2010s">1L 10s</a><br /> | ||
| Line 388: | Line 585: | ||
</td> | </td> | ||
<td><a class="wiki_link" href="/10L%201s">10L 1s</a><br /> | <td><a class="wiki_link" href="/10L%201s">10L 1s</a><br /> | ||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><a class="wiki_link" href="/Dodecatonic%20MOS">Dodecatonic MOS</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/1L%2011s">1L 11s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/2L%2010s">2L 10s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/3L%209s">3L 9s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/4L%208s">4L 8s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/5L%207s">5L 7s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/6L%206s">6</a><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/6L%206s">L 6s</a></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/7L%205s">7</a><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/7L%205s">L 5s</a></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/8L%204s">8</a><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/8L%204s">L 4s</a></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/9L%203s">9L 3s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/10L%202s">10L 2s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/11L%201s">11L 1s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/Tridecatonic%20MOS">Tridecatonic MOS</a></span><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/1L%2012s">1L 12s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/2L%2010s">2L 11s</a></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/3L%2010s">3L 10s</a></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/4L%208s">4L 9s</a></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/5L%208s">5L 8s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/6L%206s">6L 7s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/7L%206s">7</a><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/7L%206s">L 6s</a></span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/8L%205s">8</a><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/8L%205s">L 5s</a></span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/9L%204s">9L 4s</a></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/10L%203s">10</a><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/10L%203s">L 3s</a></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/11L%202s">11L 2s</a><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><a class="wiki_link" href="/12L%201s">12L 1s</a><br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 415: | Line 716: | ||
<a class="wiki_link" href="/Trienstonic%20clan#Kangaroo">Kangaroo</a>[15] [<a class="wiki_link" href="/13L%202s">13L 2s</a>]<br /> | <a class="wiki_link" href="/Trienstonic%20clan#Kangaroo">Kangaroo</a>[15] [<a class="wiki_link" href="/13L%202s">13L 2s</a>]<br /> | ||
Superkleismic[15] [<a class="wiki_link" href="/11L%204s">11L 4s</a>]<br /> | Superkleismic[15] [<a class="wiki_link" href="/11L%204s">11L 4s</a>]<br /> | ||
<a class="wiki_link" href="/Augmented%20family#Augene">Augene</a>[15]: <a class="wiki_link" href="/12L%203s">12L 3s</a><br /> | <a class="wiki_link" href="/Augmented%20family#Augene">Augene</a>[15]: [<a class="wiki_link" href="/12L%203s">12L 3s</a>]<br /> | ||
<a class="wiki_link" href="/Archytas%20clan#Blacksmith">Blacksmith</a>[15]: <a class="wiki_link" href="/10L%205s">10L 5s</a><br /> | <a class="wiki_link" href="/Archytas%20clan#Blacksmith">Blacksmith</a>[15]: [<a class="wiki_link" href="/10L%205s">10L 5s</a>]<br /> | ||
<a class="wiki_link" href="/Augmented%20family#Triforce">Triforce</a>[15] [<a class="wiki_link" href="/9L%206s">9L 6s</a>]<br /> | <a class="wiki_link" href="/Augmented%20family#Triforce">Triforce</a>[15] [<a class="wiki_link" href="/9L%206s">9L 6s</a>]<br /> | ||
Porcupine[15] [<a class="wiki_link" href="/7L%208s">7L 8s</a>]<br /> | Porcupine[15] [<a class="wiki_link" href="/7L%208s">7L 8s</a>]<br /> | ||
| Line 466: | Line 767: | ||
<br /> | <br /> | ||
Leapday[29], Grackle[29] [<a class="wiki_link" href="/17L%2012s">17L 12s</a>]<br /> | Leapday[29], Grackle[29] [<a class="wiki_link" href="/17L%2012s">17L 12s</a>]<br /> | ||
Garibaldi[29] [<a class="wiki_link" href="/12L%2017s">12L 17s</a>]</body></html></pre></div> | Garibaldi[29] [<a class="wiki_link" href="/12L%2017s">12L 17s</a>]<br /> | ||
<br /> | |||
Below is a list of single period MOS by lowest temperament with two <span style="line-height: 1.5;">non-trivial distinct scales.</span><br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<td>1L 1s<br /> | |||
</td> | |||
<td>2+3=5ed<br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 11s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 7s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+11*12=133ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+7*12=89ed</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">11L 1s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">7L 5s</span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">23+11*12=155ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">19+7*12=103ed</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 17s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">7+17*24=415ed</span><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1L 2s<br /> | |||
<span style="font-size: 12.8000001907349px;">2L 1s</span><br /> | |||
</td> | |||
<td>1+2*3=7ed<br /> | |||
<span style="font-size: 12.8000001907349px;">5+2*3=11ed</span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 12s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 11s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px; line-height: 1.5;">3L 10s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 9s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 8s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">6L 7s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+12*13=157ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+11*13=145ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+10*13=133ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4+9*13=121ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+8*13=109ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">6+7*13=97ed</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">12L 1s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">11L 2s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">10L 3s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">9L 4s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">8L 5s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">7L 6s</span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">25+12*13=181ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">24+11*13=167ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">23+10*13=153ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">22+9*13=139ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">21+8*13=125ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">20+7*13=111ed</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">6L 19s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">6+19*25=481ed</span><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td>1L 3s<br /> | |||
<span style="font-size: 12.8000001907349px;">3L 1s</span><br /> | |||
</td> | |||
<td>1+3*4=13ed<br /> | |||
<span style="font-size: 12.8000001907349px;">7+3*4=19ed</span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 9s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">11L 3s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+9*14=131ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">25+11*14=179ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">14L 13s</span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">41+14*27=419ed</span><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 4s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 3s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 2s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 1s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+4*5=21ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+3*5=17ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">8+3*5=23ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">9+4*5=29ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 14s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 13s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 11s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 8s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">1+14*15=211ed</span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+13*15=197ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4+11*15=169ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">8+7*15=113ed</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">13L 2s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">11L 4s</span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">28+13*15=223ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">26+11*15=191ed</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">12L 17s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">17L 12s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">12+17*29=505ed</span><br /> | |||
<span style="font-size: 12.8000001907349px;">41+17*29=534ed</span><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 5s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 1s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+5*6=31ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">11+5*6=41ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 11s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+11*16=181ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 6s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 5s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 4s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+6*7=43ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+5*7=37ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+4*7=31ed</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">6L 1s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">5L 2s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">4L 3s</span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">13+6*7=55ed</span><br /> | |||
<span style="font-size: 12.8000001907349px;">12+5*7=47ed</span><br /> | |||
<span style="font-size: 12.8000001907349px;">11+4*7=39ed</span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 10s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">10L 7s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">12L 5s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">14L 3s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7+10*17=177ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">27+10*17=197ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">29+12*17=233ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">31+14*17=269ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 7s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 5s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 3s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 1s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+7*8=57ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+5*8=43ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">13+5*8=53ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">15+7*8=71ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 17s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 16s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 15s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">6L 13s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 12s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">8L 11s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+17*19=325ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+16*19=307ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4+15*19=289ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">6+13*19=253ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7+12*19=235ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">8+11*19=217ed</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">16L 3s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">12L 7s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">10L 9s</span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">35+16*19=339ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">31+12*19=259ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">29+10*19=219ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 8s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 7s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 5s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 4s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 2s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">8L 1s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+8*9=73ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+7*9=65ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4+5*9=49ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">14+5*9=59ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">16+7*9=79ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">17+8*9=89ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 17s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+17*20=343ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 9s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 7s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 3s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">9L 1s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+9*10=91ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+7*10=73ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">17+7*10=87ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">19+9*10=109ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 19s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 16s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">10L 11s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+19*21=401ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+16*21=341ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">10+11*21=241ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1L 10s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2L 9s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 8s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4L 7s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5L 6s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">1+10*11=111ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">2+9*11=101ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+8*11=91ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">4+7*11=81ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">5+6*11=71ed</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">10L 1s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">9L 2s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">8L 3s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">7L 4s</span><br /> | |||
<span style="font-size: 12.8000001907349px;">6L 5s</span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">21+10*11=131ed</span><br /> | |||
<span style="font-size: 12.8000001907349px;">20+9*11=119ed</span><br /> | |||
<span style="font-size: 12.8000001907349px;">19+8*11=107ed</span><br /> | |||
<span style="font-size: 12.8000001907349px;">18+7*11=95ed</span><br /> | |||
<span style="font-size: 12.8000001907349px;">17+6*11=83ed</span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7L 15s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">9L 13s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">19L 3s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">7+15*22=337ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">9+13*22=295ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px; line-height: 1.5;">41+19*22=459ed</span></span><br /> | |||
</td> | |||
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</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
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</td> | |||
<td><br /> | |||
</td> | |||
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</td> | |||
<td><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3L 20s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">15L 8s</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">13L 10s</span></span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">3+20*23=463ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">38+15*23=389ed</span></span><br /> | |||
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px;">36+13*23=365ed</span></span><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
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</td> | |||
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<table class="wiki_table"> | |||
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<td><span style="font-size: 12.8000001907349px;">5L 11s</span><br /> | |||
</td> | |||
<td><span style="font-size: 12.8000001907349px;">5+11*16=181ed</span><br /> | |||
</td> | |||
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</span></body></html></pre></div> | |||