Xenharmonic Wiki

Catalog of MOS

Revision as of 20:26, 18 July 2015 by Wikispaces>JosephRuhf (**Imported revision 555478723 - Original comment: **)

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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]] ||   ||   ||   ||   ||   ||   ||   ||   ||
|| [[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]] ||   ||   ||   ||   ||   ||   ||
|| [[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]] ||   ||   ||   ||   ||
|| [[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]] ||   ||   ||
|| [[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;">[[2L 11s]]</span> ||   || <span style="font-size: 12.8000001907349px;">[[3L 10s]]</span> ||   || <span style="font-size: 12.8000001907349px;">[[4L 9s]]</span> ||   || [[5L 8s]] ||   || [[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]]]
Slendric[11] [[[5L 6s]]]
Keemun[11] [[[4L 7s]]]

Pajara[12] [[[10L 2s]]]
<span style="font-size: 12.8000001907349px;">August[12] [<span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">[[9L 3s]]]</span></span>
Meantone[12] [[[7L 5s]]]
<span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Hexe[12] [[[6L 6s]]] </span>
Superpyth[12] [[[5L 7s]]]
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Diminished[12] [</span>[[4L 8s]]]</span>
Augene[12] [[[3L 9s]]]
Injera[12] [[[2L 10s]]]

<span style="font-size: 12.8000001907349px;">[[xenharmonic/Heinz|Heinz]]</span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span><span style="font-size: 12.8000001907349px;">[[11L 2s]]</span>]
<span style="background-color: #ffffff; font-size: 12.8000001907349px;">[[xenharmonic/sephiroth13|Sephiroth]][13] [</span><span style="font-size: 12.8000001907349px;">[[10L 3s|10]][[10L 3s|L 3s]]]</span>
Orwell[13] [[[9L 4s]]]
<span style="font-size: 12.8000001907349px;">[[xenharmonic/Tridec13|Tridec]]</span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span><span style="font-size: 12.8000001907349px;">[[8L 5s|8]][[8L 5s|L 5s]]]</span>
<span style="font-size: 12.8000001907349px;">[[xenharmonic/Tetracot|Tetracot]]</span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span><span style="font-size: 12.8000001907349px;">[[7L 6s|7]][[7L 6s|L 6s]]]</span>

<span style="font-size: 12.8000001907349px;">[[xenharmonic/leantone13|Leantone]]</span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span>[[6L 7s]]]
<span style="font-size: 12.8000001907349px;">[[xenharmonic/Semisept|Semisept]]</span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span><span style="font-size: 12.8000001907349px;">[[5L 8s]]</span>]
<span style="font-size: 12.8000001907349px;">[[xenharmonic/Huxley|Huxley]]</span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span><span style="font-size: 12.8000001907349px;">[[4L 9s]]</span>]
Magic[13] [[[3L 10s]]]

See: [[Tridecatonic MOS]]

Injera[14] [[[12L 2s]]]
Ketradektriatoh[14] [[[11L 3s]]]
[[Apotome family|Whitewood]][14] [[[7L 7s]]]
Godzilla[14] [[[5L 9s]]]
Doublewide[14] [[[4L 10s]]]

[[Trienstonic clan#Kangaroo|Kangaroo]][15] [[[13L 2s]]]
Superkleismic[15] [[[11L 4s]]]
[[Augmented family#Augene|Augene]][15]: [[[12L 3s]]]
[[Archytas clan#Blacksmith|Blacksmith]][15]: [[[10L 5s]]]
[[Augmented family#Triforce|Triforce]][15] [[[9L 6s]]]
<span style="background-color: #ffffff; font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Opossum[15] [</span>[[8L 7s|8]]</span><span style="background-color: #ffffff; font-size: 12.8000001907349px; line-height: 1.5;">[[8L 7s|L 7s]]]</span>
Porcupine[15] [[[7L 8s]]]
Myna/Keemun[15] [[[4L 11s]]]
[[Archytas clan#Progress|Progress]][15] [[[2L 13s]]]
Valentine[15] [[[1L 14s]]]

Wizard[16] [[[6L 10s]]]
Mothra[16], Shoe[16] [[[5L 11s]]]

Squares[17] [[[14L 3s]]]
Garibaldi[17] [[[12L 5s]]]
Beatles[17] [[[10L 7s]]]
Mohajira[17] [[[7L 10s]]]

Muggles[19] [[[16L 3s]]]
Meantone[19] [[[12L 7s]]]
Negri[19] [[[10L 9s]]]
Sensi[19] [[[8L 11s]]]
Flattone[19] [[[7L 12s]]]
Hemiwuerschmidt[19] [[[6L 13s]]]
Myna[19] [[[4L 15s]]]
Magic[19] [[[3L 16s]]]
Tritonic[19] [[[2L 17s]]]

Roman[20] [[[3L 17s]]]

Miracle[21] [[[10L 11s]]]
Rodan[21] [[[5L 16s]]]
Tritonic[21] [[[2L 19s]]]

Magic[22] [[[19L 3s]]]
Diaschismic[22] [[[12L 10s]]]
Orwell[22] [[[9L 13s]]]
Coendou[22] [[[7L 15s]]]
Wizard[22] [[[6L 16s]]]
Shrutar[22] [[[2L 20s]]]

Hemikleismic[23] [[[15L 8s]]]
Unidec[23] [[[13L 10s]]]
Roman[23] [[[3L 20s]]]

Mohajira[24] [[[7L 17s]]]

Luna[25] [[[6L 19s]]]

Ennealimmal[27] [[[18L 9s]]]
Octacot[27] [[[14L 13s]]]

Leapday[29], Grackle[29] [[[17L 12s]]]
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>
//<span style="line-height: 1.5;">WARNING: These scales are mostly of questionable practicality</span>//
|| 1L 1s || 2+3=5ed ||   ||   || <span style="font-size: 12.8000001907349px;">1L 11s</span>
<span style="font-size: 12.8000001907349px;">5L 7s</span> || <span style="font-size: 12.8000001907349px;">13+12=25ed</span>
<span style="font-size: 12.8000001907349px;">17+5*12=77ed</span> || <span style="font-size: 12.8000001907349px; line-height: 1.5;">11L 1s</span>
<span style="font-size: 12.8000001907349px;">7L 5s</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">23+11*12=155ed</span>
<span style="font-size: 12.8000001907349px;">19+7*12=103ed</span> || <span style="font-size: 12.8000001907349px;">7L 17s</span> || <span style="font-size: 12.8000001907349px;">31+7*24=199ed</span> ||
|| 1L 2s
<span style="font-size: 12.8000001907349px;">2L 1s</span> || 4+3=7ed
<span style="font-size: 12.8000001907349px;">5+2*3=11ed</span> ||   ||   || <span style="font-size: 12.8000001907349px;">1L 12s</span>
<span style="font-size: 12.8000001907349px;">2L 11s</span>
<span style="font-size: 12.8000001907349px; line-height: 1.5;">3L 10s</span> || <span style="font-size: 12.8000001907349px;">14+13=27ed</span>
<span style="font-size: 12.8000001907349px;">15+2*13=41ed</span>
<span style="font-size: 12.8000001907349px;">16+3*13=55ed</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;">25+12*13=181ed</span>
<span style="font-size: 12.8000001907349px;">24+11*13=167ed</span>
<span style="font-size: 12.8000001907349px;">23+10*13=153ed</span> || <span style="font-size: 12.8000001907349px;">6L 19s</span> || <span style="font-size: 12.8000001907349px;">31+6*25=181ed</span> ||
||   ||   ||   ||   || <span style="font-size: 12.8000001907349px;">4L 9s</span>
<span style="font-size: 12.8000001907349px;">5L 8s</span>
<span style="font-size: 12.8000001907349px;">6L 7s</span> || <span style="font-size: 12.8000001907349px;">17+4*13=69ed</span>
<span style="font-size: 12.8000001907349px;">18+5*13=83ed</span>
<span style="font-size: 12.8000001907349px;">19+6*13=97ed</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;">22+9*13=139ed</span>
<span style="font-size: 12.8000001907349px;">21+8*13=125ed</span>
<span style="font-size: 12.8000001907349px;">20+7*13=111ed</span> ||   ||   ||
|| 1L 3s
<span style="font-size: 12.8000001907349px;">3L 1s</span> || 4+5=9ed
<span style="font-size: 12.8000001907349px;">7+3*4=19ed</span> ||   ||   || <span style="font-size: 12.8000001907349px;">5L 9s</span>
<span style="font-size: 12.8000001907349px;">11L 3s</span> || <span style="font-size: 12.8000001907349px;">19+5*14=89ed</span>
<span style="font-size: 12.8000001907349px;">25+11*14=179ed</span> ||   ||   || //<span style="font-size: 12.8000001907349px;">14L 13s</span>// || //<span style="font-size: 12.8000001907349px;">41+13*27=406ed</span>// ||
|| <span style="font-size: 12.8000001907349px;">1L 4s</span>
<span style="font-size: 12.8000001907349px;">2L 3s</span>
<span style="font-size: 12.8000001907349px;">3L 2s</span>
<span style="font-size: 12.8000001907349px;">4L 1s</span> || <span style="font-size: 12.8000001907349px;">6+5=11ed</span>
<span style="font-size: 12.8000001907349px;">7+2*5=17ed</span>
<span style="font-size: 12.8000001907349px;">8+3*5=23ed</span>
<span style="font-size: 12.8000001907349px;">9+4*5=29ed</span> ||   ||   || <span style="font-size: 12.8000001907349px;">1L 14s</span>
<span style="font-size: 12.8000001907349px;">2L 13s</span>
<span style="font-size: 12.8000001907349px;">4L 11s</span>
<span style="font-size: 12.8000001907349px;">7L 8s</span> || <span style="font-size: 12.8000001907349px;">16+15=31ed</span>
<span style="font-size: 12.8000001907349px;">17+2*15=47ed</span>
<span style="font-size: 12.8000001907349px;">19+4*15=69ed</span>
<span style="font-size: 12.8000001907349px;">22+7*15=127ed</span> || <span style="font-size: 12.8000001907349px; line-height: 1.5;">13L 2s</span>
<span style="font-size: 12.8000001907349px;">11L 4s</span>
<span style="background-color: #ffffff; font-size: 12.8000001907349px;">8L 7s</span> || <span style="font-size: 12.8000001907349px; line-height: 1.5;">28+13*15=223ed</span>
<span style="font-size: 12.8000001907349px;">26+11*15=191ed</span>
23+8*15=143ed || //<span style="font-size: 12.8000001907349px; line-height: 1.5;">12L 17s</span>//
//<span style="font-size: 12.8000001907349px;">17L 12s</span>// || //<span style="font-size: 12.8000001907349px;">41+12*29=389ed</span>//
//<span style="font-size: 12.8000001907349px;">46+17*29=539ed</span>// ||
|| <span style="font-size: 12.8000001907349px;">1L 5s</span>
<span style="font-size: 12.8000001907349px;">5L 1s</span> || <span style="font-size: 12.8000001907349px;">7+6=13ed</span>
<span style="font-size: 12.8000001907349px;">11+5*6=41ed</span> ||   ||   || <span style="font-size: 12.8000001907349px;">5L 11s</span> || <span style="font-size: 12.8000001907349px;">21+5*16=101ed</span> ||   ||   ||   ||   ||
|| <span style="font-size: 12.8000001907349px;">1L 6s</span>
<span style="font-size: 12.8000001907349px;">2L 5s</span>
<span style="font-size: 12.8000001907349px;">3L 4s</span> || <span style="font-size: 12.8000001907349px;">8+7=15ed</span>
<span style="font-size: 12.8000001907349px;">9+2*7=23ed</span>
<span style="font-size: 12.8000001907349px;">10+3*7=31ed</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;">7L 10s</span>
<span style="font-size: 12.8000001907349px;">10L 7s</span>
<span style="font-size: 12.8000001907349px;">12L 5s</span>
<span style="font-size: 12.8000001907349px;">14L 3s</span> || <span style="font-size: 12.8000001907349px;">24+7*17=143ed</span>
<span style="font-size: 12.8000001907349px;">27+10*17=197ed</span>
<span style="font-size: 12.8000001907349px;">29+12*17=233ed</span>
<span style="font-size: 12.8000001907349px;">31+14*17=269ed</span> ||   ||   ||   ||   ||
|| <span style="font-size: 12.8000001907349px;">1L 7s</span>
<span style="font-size: 12.8000001907349px;">3L 5s</span>
<span style="font-size: 12.8000001907349px;">5L 3s</span>
<span style="font-size: 12.8000001907349px;">7L 1s</span> || <span style="font-size: 12.8000001907349px;">9+8=17ed</span>
<span style="font-size: 12.8000001907349px;">11+3*8=35ed</span>
<span style="font-size: 12.8000001907349px;">13+5*8=53ed</span>
<span style="font-size: 12.8000001907349px;">15+7*8=71ed</span> ||   ||   || <span style="font-size: 12.8000001907349px;">2L 17s</span>
<span style="font-size: 12.8000001907349px;">3L 16s</span>
<span style="font-size: 12.8000001907349px;">4L 15s</span> || <span style="font-size: 12.8000001907349px;">21+2*19=59ed</span>
<span style="font-size: 12.8000001907349px;">22+3*19=79ed</span>
<span style="font-size: 12.8000001907349px;">23+4*19=99ed</span> || <span style="font-size: 12.8000001907349px; line-height: 1.5;">16L 3s</span> || <span style="font-size: 12.8000001907349px; line-height: 1.5;">35+16*19=339ed</span> ||   ||   ||
||   ||   ||   ||   || <span style="font-size: 12.8000001907349px;">6L 13s</span>
<span style="font-size: 12.8000001907349px;">7L 12s</span>
<span style="font-size: 12.8000001907349px;">8L 11s</span> || <span style="font-size: 12.8000001907349px;">25+6*19=139ed</span>
<span style="font-size: 12.8000001907349px;">26+7*19=159ed</span>
<span style="font-size: 12.8000001907349px;">27+8*19=179ed</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;">31+12*19=259ed</span>
<span style="font-size: 12.8000001907349px;">29+10*19=219ed</span> ||   ||   ||
|| <span style="font-size: 12.8000001907349px;">1L 8s</span>
<span style="font-size: 12.8000001907349px;">2L 7s</span>
<span style="font-size: 12.8000001907349px;">4L 5s</span>
<span style="font-size: 12.8000001907349px;">5L 4s</span>
<span style="font-size: 12.8000001907349px;">7L 2s</span>
<span style="font-size: 12.8000001907349px;">8L 1s</span> || <span style="font-size: 12.8000001907349px;">10+9=19ed</span>
<span style="font-size: 12.8000001907349px;">11+2*9=29ed</span>
<span style="font-size: 12.8000001907349px;">13+4*9=49ed</span>
<span style="font-size: 12.8000001907349px;">14+5*9=59ed</span>
<span style="font-size: 12.8000001907349px;">16+7*9=79ed</span>
<span style="font-size: 12.8000001907349px;">17+8*9=89ed</span> ||   ||   || <span style="font-size: 12.8000001907349px;">3L 17s</span> || <span style="font-size: 12.8000001907349px;">20+3*17=71ed</span> ||   ||   ||   ||   ||
|| <span style="font-size: 12.8000001907349px;">1L 9s</span>
<span style="font-size: 12.8000001907349px;">3L 7s</span>
<span style="font-size: 12.8000001907349px;">7L 3s</span>
<span style="font-size: 12.8000001907349px;">9L 1s</span> || <span style="font-size: 12.8000001907349px;">11+10=21ed</span>
<span style="font-size: 12.8000001907349px;">13+3*10=43ed</span>
<span style="font-size: 12.8000001907349px;">17+7*10=87ed</span>
<span style="font-size: 12.8000001907349px;">19+9*10=109ed</span> ||   ||   || <span style="font-size: 12.8000001907349px;">2L 19s</span>
<span style="font-size: 12.8000001907349px;">5L 16s</span>
<span style="font-size: 12.8000001907349px;">10L 11s</span> || <span style="font-size: 12.8000001907349px;">23+2*21=65ed</span>
<span style="font-size: 12.8000001907349px;">26+5*21=131ed</span>
<span style="font-size: 12.8000001907349px;">31+10*21=241ed</span> ||   ||   ||   ||   ||
|| <span style="font-size: 12.8000001907349px;">1L 10s</span>
<span style="font-size: 12.8000001907349px;">2L 9s</span>
<span style="font-size: 12.8000001907349px;">3L 8s</span>
<span style="font-size: 12.8000001907349px;">4L 7s</span>
<span style="font-size: 12.8000001907349px;">5L 6s</span> || <span style="font-size: 12.8000001907349px;">12+11=23ed</span>
<span style="font-size: 12.8000001907349px;">13+2*11=35ed</span>
<span style="font-size: 12.8000001907349px;">14+3*11=47ed</span>
<span style="font-size: 12.8000001907349px;">15+4*11=59ed</span>
<span style="font-size: 12.8000001907349px;">16+5*11=71ed</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;">7L 15s</span>
<span style="font-size: 12.8000001907349px;">9L 13s</span>
//<span style="font-size: 12.8000001907349px;">19L 3s</span>// || <span style="font-size: 12.8000001907349px;">29+7*22=183ed</span>
<span style="font-size: 12.8000001907349px;">31+9*22=229ed</span>
//<span style="font-size: 12.8000001907349px; line-height: 1.5;">41+19*22=459ed</span>// ||   ||   ||   ||   ||
||   ||   ||   ||   || <span style="font-size: 12.8000001907349px;">3L 20s</span>
//<span style="line-height: 1.5;"><span style="font-size: 12.8000001907349px;">13L 10s</span></span>//
//<span style="font-size: 12.8000001907349px;">15L 8s</span>// || <span style="font-size: 12.8000001907349px;">26+3*23=95ed</span>
//<span style="line-height: 1.5;"><span style="font-size: 12.8000001907349px;">36+13*23=365ed</span></span>//
//<span style="font-size: 12.8000001907349px;">38+15*23=389ed</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>

Original HTML content:

<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 />


<table class="wiki_table">
    <tr>
        <td><a class="wiki_link" href="/PentatonicMOS">Pentatonic MOS</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/1L%204s">1L 4s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/2L%203s">2L 3s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/3L%202s">3L 2s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/4L%201s">4L 1s</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/HexatonicMOS">Hexatonic MOS</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/1L%205s">1L 5s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/2L%204s">2L 4s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/3L%203s">3L 3s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/4L%202s">4L 2s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/5L%201s">5L 1s</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/HeptatonicMOS">Heptatonic MOS</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/1L%206s">1L 6s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/2L%205s">2L 5s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/3L%204s">3L 4s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/4L%203s">4L 3s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/5L%202s">5L 2s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/6L%201s">6L 1s</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/OctatonicMOS">Octatonic MOS</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/1L%207s">1L 7s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/2L%206s">2L 6s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/3L%205s">3L 5s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/4L%204s">4L 4s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/5L%203s">5L 3s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/6L%202s">6L 2s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/7L%201s">7L 1s</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/NonatonicMOS">Nonatonic MOS</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/1L%208s">1L 8s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/2L%207s">2L 7s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/3L%206s">3L 6s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/4L%205s">4L 5s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/5L%204s">5L 4s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/6L%203s">6L 3s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/7L%202s">7L 2s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/8L%201s">8L 1s</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/DecatonicMOS">Decatonic MOS</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/1L%209s">1L 9s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/2L%208s">2L 8s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/3L%207s">3L 7s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/4L%206s">4L 6s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/5L%205s">5L 5s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/6L%204s">6L 4s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/7L%203s">7L 3s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/8L%202s">8L 2s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/9L%201s">9L 1s</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><a class="wiki_link" href="/Hendecatonic%20MOS">Hendecatonic MOS</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/1L%2010s">1L 10s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/2L%209s">2L 9s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/3L%208s">3L 8s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/4L%207s">4L 7s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/5L%206s">5L 6s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/6L%205s">6L 5s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/7L%204s">7L 4s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/8L%203s">8L 3s</a><br />
</td>
        <td><br />
</td>
        <td><a class="wiki_link" href="/9L%202s">9L 2s</a><br />
</td>
        <td><br />
</td>
        <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="/2L%2011s">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="/4L%209s">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%207s">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>
    </tr>
</table>

<br />
Sensi[11] [<a class="wiki_link" href="/8L%203s">8L 3s</a>]<br />
Slendric[11] [<a class="wiki_link" href="/5L%206s">5L 6s</a>]<br />
Keemun[11] [<a class="wiki_link" href="/4L%207s">4L 7s</a>]<br />
<br />
Pajara[12] [<a class="wiki_link" href="/10L%202s">10L 2s</a>]<br />
<span style="font-size: 12.8000001907349px;">August[12] [<span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"><a class="wiki_link" href="/9L%203s">9L 3s</a>]</span></span><br />
Meantone[12] [<a class="wiki_link" href="/7L%205s">7L 5s</a>]<br />
<span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Hexe[12] [<a class="wiki_link" href="/6L%206s">6L 6s</a>] </span><br />
Superpyth[12] [<a class="wiki_link" href="/5L%207s">5L 7s</a>]<br />
<span style="font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Diminished[12] [</span><a class="wiki_link" href="/4L%208s">4L 8s</a>]</span><br />
Augene[12] [<a class="wiki_link" href="/3L%209s">3L 9s</a>]<br />
Injera[12] [<a class="wiki_link" href="/2L%2010s">2L 10s</a>]<br />
<br />
<span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Heinz">Heinz</a></span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/11L%202s">11L 2s</a></span>]<br />
<span style="background-color: #ffffff; font-size: 12.8000001907349px;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth13">Sephiroth</a>[13] [</span><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/10L%203s">10</a><a class="wiki_link" href="/10L%203s">L 3s</a>]</span><br />
Orwell[13] [<a class="wiki_link" href="/9L%204s">9L 4s</a>]<br />
<span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec13">Tridec</a></span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/8L%205s">8</a><a class="wiki_link" href="/8L%205s">L 5s</a>]</span><br />
<span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tetracot">Tetracot</a></span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/7L%206s">7</a><a class="wiki_link" href="/7L%206s">L 6s</a>]</span><br />
<br />
<span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone13">Leantone</a></span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span><a class="wiki_link" href="/6L%207s">6L 7s</a>]<br />
<span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Semisept">Semisept</a></span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/5L%208s">5L 8s</a></span>]<br />
<span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/Huxley">Huxley</a></span><span style="background-color: #ffffff; font-size: 12.8000001907349px;">[13] [</span><span style="font-size: 12.8000001907349px;"><a class="wiki_link" href="/4L%209s">4L 9s</a></span>]<br />
Magic[13] [<a class="wiki_link" href="/3L%2010s">3L 10s</a>]<br />
<br />
See: <a class="wiki_link" href="/Tridecatonic%20MOS">Tridecatonic MOS</a><br />
<br />
Injera[14] [<a class="wiki_link" href="/12L%202s">12L 2s</a>]<br />
Ketradektriatoh[14] [<a class="wiki_link" href="/11L%203s">11L 3s</a>]<br />
<a class="wiki_link" href="/Apotome%20family">Whitewood</a>[14] [<a class="wiki_link" href="/7L%207s">7L 7s</a>]<br />
Godzilla[14] [<a class="wiki_link" href="/5L%209s">5L 9s</a>]<br />
Doublewide[14] [<a class="wiki_link" href="/4L%2010s">4L 10s</a>]<br />
<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 />
<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="/Augmented%20family#Triforce">Triforce</a>[15] [<a class="wiki_link" href="/9L%206s">9L 6s</a>]<br />
<span style="background-color: #ffffff; font-size: 12.8000001907349px;"><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Opossum[15] [</span><a class="wiki_link" href="/8L%207s">8</a></span><span style="background-color: #ffffff; font-size: 12.8000001907349px; line-height: 1.5;"><a class="wiki_link" href="/8L%207s">L 7s</a>]</span><br />
Porcupine[15] [<a class="wiki_link" href="/7L%208s">7L 8s</a>]<br />
Myna/Keemun[15] [<a class="wiki_link" href="/4L%2011s">4L 11s</a>]<br />
<a class="wiki_link" href="/Archytas%20clan#Progress">Progress</a>[15] [<a class="wiki_link" href="/2L%2013s">2L 13s</a>]<br />
Valentine[15] [<a class="wiki_link" href="/1L%2014s">1L 14s</a>]<br />
<br />
Wizard[16] [<a class="wiki_link" href="/6L%2010s">6L 10s</a>]<br />
Mothra[16], Shoe[16] [<a class="wiki_link" href="/5L%2011s">5L 11s</a>]<br />
<br />
Squares[17] [<a class="wiki_link" href="/14L%203s">14L 3s</a>]<br />
Garibaldi[17] [<a class="wiki_link" href="/12L%205s">12L 5s</a>]<br />
Beatles[17] [<a class="wiki_link" href="/10L%207s">10L 7s</a>]<br />
Mohajira[17] [<a class="wiki_link" href="/7L%2010s">7L 10s</a>]<br />
<br />
Muggles[19] [<a class="wiki_link" href="/16L%203s">16L 3s</a>]<br />
Meantone[19] [<a class="wiki_link" href="/12L%207s">12L 7s</a>]<br />
Negri[19] [<a class="wiki_link" href="/10L%209s">10L 9s</a>]<br />
Sensi[19] [<a class="wiki_link" href="/8L%2011s">8L 11s</a>]<br />
Flattone[19] [<a class="wiki_link" href="/7L%2012s">7L 12s</a>]<br />
Hemiwuerschmidt[19] [<a class="wiki_link" href="/6L%2013s">6L 13s</a>]<br />
Myna[19] [<a class="wiki_link" href="/4L%2015s">4L 15s</a>]<br />
Magic[19] [<a class="wiki_link" href="/3L%2016s">3L 16s</a>]<br />
Tritonic[19] [<a class="wiki_link" href="/2L%2017s">2L 17s</a>]<br />
<br />
Roman[20] [<a class="wiki_link" href="/3L%2017s">3L 17s</a>]<br />
<br />
Miracle[21] [<a class="wiki_link" href="/10L%2011s">10L 11s</a>]<br />
Rodan[21] [<a class="wiki_link" href="/5L%2016s">5L 16s</a>]<br />
Tritonic[21] [<a class="wiki_link" href="/2L%2019s">2L 19s</a>]<br />
<br />
Magic[22] [<a class="wiki_link" href="/19L%203s">19L 3s</a>]<br />
Diaschismic[22] [<a class="wiki_link" href="/12L%2010s">12L 10s</a>]<br />
Orwell[22] [<a class="wiki_link" href="/9L%2013s">9L 13s</a>]<br />
Coendou[22] [<a class="wiki_link" href="/7L%2015s">7L 15s</a>]<br />
Wizard[22] [<a class="wiki_link" href="/6L%2016s">6L 16s</a>]<br />
Shrutar[22] [<a class="wiki_link" href="/2L%2020s">2L 20s</a>]<br />
<br />
Hemikleismic[23] [<a class="wiki_link" href="/15L%208s">15L 8s</a>]<br />
Unidec[23] [<a class="wiki_link" href="/13L%2010s">13L 10s</a>]<br />
Roman[23] [<a class="wiki_link" href="/3L%2020s">3L 20s</a>]<br />
<br />
Mohajira[24] [<a class="wiki_link" href="/7L%2017s">7L 17s</a>]<br />
<br />
Luna[25] [<a class="wiki_link" href="/6L%2019s">6L 19s</a>]<br />
<br />
Ennealimmal[27] [<a class="wiki_link" href="/18L%209s">18L 9s</a>]<br />
Octacot[27] [<a class="wiki_link" href="/14L%2013s">14L 13s</a>]<br />
<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>]<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 />
<em><span style="line-height: 1.5;">WARNING: These scales are mostly of questionable practicality</span></em><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;">1L 11s</span><br />
<span style="font-size: 12.8000001907349px;">5L 7s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">13+12=25ed</span><br />
<span style="font-size: 12.8000001907349px;">17+5*12=77ed</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 1.5;">11L 1s</span><br />
<span style="font-size: 12.8000001907349px;">7L 5s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">23+11*12=155ed</span><br />
<span style="font-size: 12.8000001907349px;">19+7*12=103ed</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">7L 17s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">31+7*24=199ed</span><br />
</td>
    </tr>
    <tr>
        <td>1L 2s<br />
<span style="font-size: 12.8000001907349px;">2L 1s</span><br />
</td>
        <td>4+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;">1L 12s</span><br />
<span style="font-size: 12.8000001907349px;">2L 11s</span><br />
<span style="font-size: 12.8000001907349px; line-height: 1.5;">3L 10s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">14+13=27ed</span><br />
<span style="font-size: 12.8000001907349px;">15+2*13=41ed</span><br />
<span style="font-size: 12.8000001907349px;">16+3*13=55ed</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 />
</td>
        <td><span style="font-size: 12.8000001907349px;">25+12*13=181ed</span><br />
<span style="font-size: 12.8000001907349px;">24+11*13=167ed</span><br />
<span style="font-size: 12.8000001907349px;">23+10*13=153ed</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">6L 19s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">31+6*25=181ed</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">4L 9s</span><br />
<span style="font-size: 12.8000001907349px;">5L 8s</span><br />
<span style="font-size: 12.8000001907349px;">6L 7s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">17+4*13=69ed</span><br />
<span style="font-size: 12.8000001907349px;">18+5*13=83ed</span><br />
<span style="font-size: 12.8000001907349px;">19+6*13=97ed</span><br />
</td>
        <td><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;">22+9*13=139ed</span><br />
<span style="font-size: 12.8000001907349px;">21+8*13=125ed</span><br />
<span style="font-size: 12.8000001907349px;">20+7*13=111ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>1L 3s<br />
<span style="font-size: 12.8000001907349px;">3L 1s</span><br />
</td>
        <td>4+5=9ed<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;">5L 9s</span><br />
<span style="font-size: 12.8000001907349px;">11L 3s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">19+5*14=89ed</span><br />
<span style="font-size: 12.8000001907349px;">25+11*14=179ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><em><span style="font-size: 12.8000001907349px;">14L 13s</span></em><br />
</td>
        <td><em><span style="font-size: 12.8000001907349px;">41+13*27=406ed</span></em><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">1L 4s</span><br />
<span style="font-size: 12.8000001907349px;">2L 3s</span><br />
<span style="font-size: 12.8000001907349px;">3L 2s</span><br />
<span style="font-size: 12.8000001907349px;">4L 1s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">6+5=11ed</span><br />
<span style="font-size: 12.8000001907349px;">7+2*5=17ed</span><br />
<span style="font-size: 12.8000001907349px;">8+3*5=23ed</span><br />
<span style="font-size: 12.8000001907349px;">9+4*5=29ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">1L 14s</span><br />
<span style="font-size: 12.8000001907349px;">2L 13s</span><br />
<span style="font-size: 12.8000001907349px;">4L 11s</span><br />
<span style="font-size: 12.8000001907349px;">7L 8s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">16+15=31ed</span><br />
<span style="font-size: 12.8000001907349px;">17+2*15=47ed</span><br />
<span style="font-size: 12.8000001907349px;">19+4*15=69ed</span><br />
<span style="font-size: 12.8000001907349px;">22+7*15=127ed</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 1.5;">13L 2s</span><br />
<span style="font-size: 12.8000001907349px;">11L 4s</span><br />
<span style="background-color: #ffffff; font-size: 12.8000001907349px;">8L 7s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 1.5;">28+13*15=223ed</span><br />
<span style="font-size: 12.8000001907349px;">26+11*15=191ed</span><br />
23+8*15=143ed<br />
</td>
        <td><em><span style="font-size: 12.8000001907349px; line-height: 1.5;">12L 17s</span></em><br />
<em><span style="font-size: 12.8000001907349px;">17L 12s</span></em><br />
</td>
        <td><em><span style="font-size: 12.8000001907349px;">41+12*29=389ed</span></em><br />
<em><span style="font-size: 12.8000001907349px;">46+17*29=539ed</span></em><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">1L 5s</span><br />
<span style="font-size: 12.8000001907349px;">5L 1s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">7+6=13ed</span><br />
<span style="font-size: 12.8000001907349px;">11+5*6=41ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">5L 11s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">21+5*16=101ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">1L 6s</span><br />
<span style="font-size: 12.8000001907349px;">2L 5s</span><br />
<span style="font-size: 12.8000001907349px;">3L 4s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">8+7=15ed</span><br />
<span style="font-size: 12.8000001907349px;">9+2*7=23ed</span><br />
<span style="font-size: 12.8000001907349px;">10+3*7=31ed</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;">7L 10s</span><br />
<span style="font-size: 12.8000001907349px;">10L 7s</span><br />
<span style="font-size: 12.8000001907349px;">12L 5s</span><br />
<span style="font-size: 12.8000001907349px;">14L 3s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">24+7*17=143ed</span><br />
<span style="font-size: 12.8000001907349px;">27+10*17=197ed</span><br />
<span style="font-size: 12.8000001907349px;">29+12*17=233ed</span><br />
<span style="font-size: 12.8000001907349px;">31+14*17=269ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">1L 7s</span><br />
<span style="font-size: 12.8000001907349px;">3L 5s</span><br />
<span style="font-size: 12.8000001907349px;">5L 3s</span><br />
<span style="font-size: 12.8000001907349px;">7L 1s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">9+8=17ed</span><br />
<span style="font-size: 12.8000001907349px;">11+3*8=35ed</span><br />
<span style="font-size: 12.8000001907349px;">13+5*8=53ed</span><br />
<span style="font-size: 12.8000001907349px;">15+7*8=71ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">2L 17s</span><br />
<span style="font-size: 12.8000001907349px;">3L 16s</span><br />
<span style="font-size: 12.8000001907349px;">4L 15s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">21+2*19=59ed</span><br />
<span style="font-size: 12.8000001907349px;">22+3*19=79ed</span><br />
<span style="font-size: 12.8000001907349px;">23+4*19=99ed</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 1.5;">16L 3s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 1.5;">35+16*19=339ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">6L 13s</span><br />
<span style="font-size: 12.8000001907349px;">7L 12s</span><br />
<span style="font-size: 12.8000001907349px;">8L 11s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">25+6*19=139ed</span><br />
<span style="font-size: 12.8000001907349px;">26+7*19=159ed</span><br />
<span style="font-size: 12.8000001907349px;">27+8*19=179ed</span><br />
</td>
        <td><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;">31+12*19=259ed</span><br />
<span style="font-size: 12.8000001907349px;">29+10*19=219ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">1L 8s</span><br />
<span style="font-size: 12.8000001907349px;">2L 7s</span><br />
<span style="font-size: 12.8000001907349px;">4L 5s</span><br />
<span style="font-size: 12.8000001907349px;">5L 4s</span><br />
<span style="font-size: 12.8000001907349px;">7L 2s</span><br />
<span style="font-size: 12.8000001907349px;">8L 1s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">10+9=19ed</span><br />
<span style="font-size: 12.8000001907349px;">11+2*9=29ed</span><br />
<span style="font-size: 12.8000001907349px;">13+4*9=49ed</span><br />
<span style="font-size: 12.8000001907349px;">14+5*9=59ed</span><br />
<span style="font-size: 12.8000001907349px;">16+7*9=79ed</span><br />
<span style="font-size: 12.8000001907349px;">17+8*9=89ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">3L 17s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">20+3*17=71ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">1L 9s</span><br />
<span style="font-size: 12.8000001907349px;">3L 7s</span><br />
<span style="font-size: 12.8000001907349px;">7L 3s</span><br />
<span style="font-size: 12.8000001907349px;">9L 1s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">11+10=21ed</span><br />
<span style="font-size: 12.8000001907349px;">13+3*10=43ed</span><br />
<span style="font-size: 12.8000001907349px;">17+7*10=87ed</span><br />
<span style="font-size: 12.8000001907349px;">19+9*10=109ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">2L 19s</span><br />
<span style="font-size: 12.8000001907349px;">5L 16s</span><br />
<span style="font-size: 12.8000001907349px;">10L 11s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">23+2*21=65ed</span><br />
<span style="font-size: 12.8000001907349px;">26+5*21=131ed</span><br />
<span style="font-size: 12.8000001907349px;">31+10*21=241ed</span><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px;">1L 10s</span><br />
<span style="font-size: 12.8000001907349px;">2L 9s</span><br />
<span style="font-size: 12.8000001907349px;">3L 8s</span><br />
<span style="font-size: 12.8000001907349px;">4L 7s</span><br />
<span style="font-size: 12.8000001907349px;">5L 6s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">12+11=23ed</span><br />
<span style="font-size: 12.8000001907349px;">13+2*11=35ed</span><br />
<span style="font-size: 12.8000001907349px;">14+3*11=47ed</span><br />
<span style="font-size: 12.8000001907349px;">15+4*11=59ed</span><br />
<span style="font-size: 12.8000001907349px;">16+5*11=71ed</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;">7L 15s</span><br />
<span style="font-size: 12.8000001907349px;">9L 13s</span><br />
<em><span style="font-size: 12.8000001907349px;">19L 3s</span></em><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">29+7*22=183ed</span><br />
<span style="font-size: 12.8000001907349px;">31+9*22=229ed</span><br />
<em><span style="font-size: 12.8000001907349px; line-height: 1.5;">41+19*22=459ed</span></em><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">3L 20s</span><br />
<em><span style="line-height: 1.5;"><span style="font-size: 12.8000001907349px;">13L 10s</span></span></em><br />
<em><span style="font-size: 12.8000001907349px;">15L 8s</span></em><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">26+3*23=95ed</span><br />
<em><span style="line-height: 1.5;"><span style="font-size: 12.8000001907349px;">36+13*23=365ed</span></span></em><br />
<em><span style="font-size: 12.8000001907349px;">38+15*23=389ed</span></em><br />
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        <td><span style="font-size: 12.8000001907349px;">5L 11s</span><br />
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        <td><span style="font-size: 12.8000001907349px;">5+11*16=181ed</span><br />
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