Large comma: Difference between revisions
m →5-limit commas: Added {{clarify}} |
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Except for the 3-limit commas, the [[Color notation|color name]] refers to both the comma and the temperament created when it is tempered out. | Except for the 3-limit commas, the [[Color notation|color name]] refers to both the comma and the temperament created when it is tempered out. | ||
==[[3-limit commas]]== | ==[[3-limit commas]]== | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
Line 23: | Line 23: | ||
| 43-comma | | 43-comma | ||
| Wa-43 | | Wa-43 | ||
| w- | | L<sup>6</sup>w-4 | ||
| | | | ||
| {{monzo| -68 43 }} | | {{monzo| -68 43 }} | ||
Line 30: | Line 30: | ||
| 63-comma | | 63-comma | ||
| Wa-63 | | Wa-63 | ||
| | | s<sup>9</sup>w8 | ||
| | | | ||
| {{monzo| 100 -63 }} | | {{monzo| 100 -63 }} | ||
Line 37: | Line 37: | ||
| [[31-comma_temperaments|31-comma]] | | [[31-comma_temperaments|31-comma]] | ||
| Wa-31 | | Wa-31 | ||
| w- | | L<sup>4</sup>w-3 | ||
| 617673396283947 / 562949953421312 | | 617673396283947 / 562949953421312 | ||
| {{monzo| -49 31 }} | | {{monzo| -49 31 }} | ||
Line 44: | Line 44: | ||
| 22-comma | | 22-comma | ||
| Wa-22 | | Wa-22 | ||
| | | s<sup>3</sup>w4 | ||
| 34359738368 / 31381059609 | | 34359738368 / 31381059609 | ||
| {{monzo| 35 -22 }} | | {{monzo| 35 -22 }} | ||
Line 51: | Line 51: | ||
| 19-comma | | 19-comma | ||
| Wa-19 | | Wa-19 | ||
| w- | | L<sup>3</sup>w-2 | ||
| 1162261467 / 1073741824 | | 1162261467 / 1073741824 | ||
| {{monzo| -30 19 }} | | {{monzo| -30 19 }} | ||
Line 65: | Line 65: | ||
| 46-comma | | 46-comma | ||
| Wa-46 | | Wa-46 | ||
| | | s<sup>7</sup>w6 | ||
| | | | ||
| {{monzo| 73 -46 }} | | {{monzo| 73 -46 }} | ||
Line 72: | Line 72: | ||
==[[5-limit commas]]== | ==[[5-limit commas]]== | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
Line 96: | Line 95: | ||
|- | |- | ||
| 31-3/5-comma | | 31-3/5-comma | ||
| | | Thiwegu | ||
| | | g<sup>31</sup>7 | ||
| | | | ||
| {{monzo| 23 31 -31 }} | | {{monzo| 23 31 -31 }} | ||
Line 110: | Line 109: | ||
|- | |- | ||
| 5-cycle major second, hexadecathird comma | | 5-cycle major second, hexadecathird comma | ||
| | | Lala-quadquadyo | ||
| | | LLy<sup>16</sup>-4 | ||
| 152587890625 / 137438953472 | | 152587890625 / 137438953472 | ||
| {{monzo| -37 0 16 }} | | {{monzo| -37 0 16 }} | ||
Line 145: | Line 144: | ||
|- | |- | ||
| acute limma | | acute limma | ||
| | | Trila-neyobi | ||
| | | L<sup>3</sup>y<sup>19</sup>-5 | ||
| 19073486328125 / 17592186044416 | | 19073486328125 / 17592186044416 | ||
| {{monzo| -44 0 19 }} | | {{monzo| -44 0 19 }} | ||
Line 152: | Line 151: | ||
|- | |- | ||
| 31-15-comma | | 31-15-comma | ||
| | | Tritrila-thiweyo | ||
| | | L<sup>9</sup>y<sup>31</sup>-11 | ||
| | | | ||
| {{monzo| -121 31 31 }} | | {{monzo| -121 31 31 }} | ||
Line 167: | Line 166: | ||
| 11-3/5-comma | | 11-3/5-comma | ||
| Leyo | | Leyo | ||
|y<sup>11</sup>-2 | | y<sup>11</sup>-2 | ||
| 48828125 / 45349632 | | 48828125 / 45349632 | ||
| {{monzo| -8 -11 11 }} | | {{monzo| -8 -11 11 }} | ||
Line 173: | Line 172: | ||
|- | |- | ||
| 27-3/5-comma | | 27-3/5-comma | ||
| | | Tritritrigu | ||
| | | g<sup>27</sup>6 | ||
| | | | ||
| {{monzo| 20 27 -27 }} | | {{monzo| 20 27 -27 }} | ||
Line 250: | Line 249: | ||
|} | |} | ||
== | == 7-limit commas == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
Line 263: | Line 261: | ||
| Rubi | | Rubi | ||
| r2 | | r2 | ||
| 8/7 | | [[8/7|8 / 7]] | ||
| {{monzo| 3 0 0 -1 }} | | {{monzo| 3 0 0 -1 }} | ||
| 231.174 | | 231.174 | ||
Line 275: | Line 273: | ||
|- | |- | ||
| 45-7/5-comma | | 45-7/5-comma | ||
| | | Quintritriruyo | ||
| | | r<sup>45</sup>y<sup>45</sup>-27 | ||
| | | | ||
| {{monzo| 22 0 45 -45 }} | | {{monzo| 22 0 45 -45 }} | ||
Line 282: | Line 280: | ||
|- | |- | ||
| 63-35-comma | | 63-35-comma | ||
| | | Tritribila-septritrizoyo | ||
| | | L<sup>18</sup>z<sup>63</sup>y<sup>63</sup>8 | ||
| | | | ||
| {{monzo| -323 0 63 63 }} | | {{monzo| -323 0 63 63 }} | ||
Line 291: | Line 289: | ||
| Lala-quadbizo | | Lala-quadbizo | ||
| LLz<sup>8</sup>4 | | LLz<sup>8</sup>4 | ||
| | | | ||
| {{monzo| -35 8 0 8 }} | | {{monzo| -35 8 0 8 }} | ||
| 166.247 | | 166.247 | ||
|- | |- | ||
| 46-7-comma | | 46-7-comma | ||
| | | Sepla-twethebizobi | ||
| | | L<sup>7</sup>z<sup>46</sup>18 | ||
| | | | ||
| {{monzo| -129 0 0 46 }} | | {{monzo| -129 0 0 46 }} | ||
Line 303: | Line 301: | ||
|- | |- | ||
| 25-7/5-comma | | 25-7/5-comma | ||
| | | Quinquinzogu | ||
| | | z<sup>25</sup>g<sup>25</sup>17 | ||
| | | | ||
| {{monzo| -12 0 -25 25 }} | | {{monzo| -12 0 -25 25 }} | ||
Line 310: | Line 308: | ||
|- | |- | ||
| 43-21-comma | | 43-21-comma | ||
| | | Quadtrisa-fotherubi | ||
| | | s<sup>12</sup>r<sup>43</sup>-11 | ||
| | | | ||
| {{monzo| 189 -43 0 -43 }} | | {{monzo| 189 -43 0 -43 }} | ||
Line 317: | Line 315: | ||
|- | |- | ||
| 43-7/5-comma | | 43-7/5-comma | ||
| | | Fotheruyo | ||
| | | r<sup>43</sup>y<sup>43</sup>-26 | ||
| | | | ||
| {{monzo| 21 0 43 -43 }} | | {{monzo| 21 0 43 -43 }} | ||
Line 331: | Line 329: | ||
|- | |- | ||
| 55-35-comma | | 55-35-comma | ||
| | | Quadquadla-lequinzoyobi | ||
| | | L<sup>16</sup>z<sup>55</sup>y<sup>55</sup>7 | ||
| | | | ||
| {{monzo| -282 0 55 55 }} | | {{monzo| -282 0 55 55 }} | ||
Line 338: | Line 336: | ||
|- | |- | ||
| 27-7/5-comma | | 27-7/5-comma | ||
| | | Tritritrizogu | ||
| | | z<sup>27</sup>g<sup>27</sup>18 | ||
| | | | ||
| {{monzo| -13 0 -27 27 }} | | {{monzo| -13 0 -27 27 }} | ||
Line 345: | Line 343: | ||
|- | |- | ||
| 41-7-comma | | 41-7-comma | ||
| | | Tribila-fowezo | ||
| | | L<sup>6</sup>z<sup>41</sup>16 | ||
| | | | ||
| {{monzo| -115 0 0 41 }} | | {{monzo| -115 0 0 41 }} | ||
Line 366: | Line 364: | ||
|- | |- | ||
| 41-7/5-comma | | 41-7/5-comma | ||
| | | Foweruyo | ||
| | | r<sup>41</sup>y<sup>41</sup>-25 | ||
| | | | ||
| {{monzo| 20 0 41 -41 }} | | {{monzo| 20 0 41 -41 }} | ||
Line 380: | Line 378: | ||
|- | |- | ||
| 38-21-comma | | 38-21-comma | ||
| | | Lesa-nebiru | ||
| | | s<sup>11</sup>r<sup>38</sup>-10 | ||
| | | | ||
| {{monzo| 167 -38 0 -38 }} | | {{monzo| 167 -38 0 -38 }} | ||
Line 387: | Line 385: | ||
|} | |} | ||
== | == 11-limit commas == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
Line 398: | Line 395: | ||
|- | |- | ||
| 11-cycle major second prote, 33-11-comma | | 11-cycle major second prote, 33-11-comma | ||
| | | Quinla-letrilobi | ||
| | | L<sup>5</sup>1o<sup>33</sup>-7 | ||
| | | | ||
| {{monzo| -114 0 0 0 33 }} | | {{monzo| -114 0 0 0 33 }} | ||
Line 433: | Line 430: | ||
|} | |} | ||
== | == 13-limit commas == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
Line 444: | Line 440: | ||
|- | |- | ||
| 13-cycle neutral second | | 13-cycle neutral second | ||
| | | Quadbila-fithethobi | ||
| | | L<sup>8</sup>3o<sup>53</sup>7 | ||
| | | | ||
| {{monzo| -196 0 0 0 0 53 }} | | {{monzo| -196 0 0 0 0 53 }} | ||
Line 479: | Line 475: | ||
|} | |} | ||
== | == 17-limit commas == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
Line 492: | Line 487: | ||
| Sogubi | | Sogubi | ||
| 17og3 | | 17og3 | ||
| 17/15 | | [[17/15|17 / 15]] | ||
| {{monzo| 0 -1 -1 0 0 0 1 }} | | {{monzo| 0 -1 -1 0 0 0 1 }} | ||
| 216.687 | | 216.687 | ||
Line 499: | Line 494: | ||
| Iso | | Iso | ||
| 17o2 | | 17o2 | ||
| 17/16 | | [[17/16|17 / 16]] | ||
| {{monzo| -4 0 0 0 0 0 1 }} | | {{monzo| -4 0 0 0 0 0 1 }} | ||
| 104.955 | | 104.955 | ||
|} | |} | ||
== | == 19-limit commas == | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
Line 515: | Line 509: | ||
|- | |- | ||
| 19-cycle meantone prima | | 19-cycle meantone prima | ||
| | | Tribila-foweno | ||
| | | L<sup>6</sup>19o<sup>41</sup>13 | ||
| | | | ||
| {{monzo| -174 0 0 0 0 0 0 41 }} | | {{monzo| -174 0 0 0 0 0 0 41 }} | ||
Line 523: | Line 517: | ||
| 19-limit rational meantone | | 19-limit rational meantone | ||
| Nosu | | Nosu | ||
| | | 19o17u2 | ||
| 19/17 | | [[19/17|19 / 17]] | ||
| {{monzo| 0 0 0 0 0 0 -1 1 }} | | {{monzo| 0 0 0 0 0 0 -1 1 }} | ||
| 192.558 | | 192.558 | ||
|- | |- | ||
| 19-cycle meantone secunda | | 19-cycle meantone secunda | ||
| | | Tribila-quintritrino | ||
| | | L<sup>6</sup>19o<sup>45</sup>14 | ||
| | | | ||
| {{monzo| -191 0 0 0 0 0 0 45 }} | | {{monzo| -191 0 0 0 0 0 0 45 }} | ||
Line 536: | Line 530: | ||
|- | |- | ||
| 19-cycle minor tone | | 19-cycle minor tone | ||
| | | Sepla-sepsepno | ||
| | | L<sup>7</sup>19o<sup>49</sup>15 | ||
| | | | ||
| {{monzo| -208 0 0 0 0 0 0 49 }} | | {{monzo| -208 0 0 0 0 0 0 49 }} | ||
Line 544: | Line 538: | ||
| 19-limit rational submajor second | | 19-limit rational submajor second | ||
| Nuzo | | Nuzo | ||
| | | 19uz2 | ||
| 21/19 | | [[21/19|21 / 19]] | ||
| {{monzo| 0 1 0 1 0 0 0 -1 }} | | {{monzo| 0 1 0 1 0 0 0 -1 }} | ||
| 173.268 | | 173.268 | ||
|- | |- | ||
| 19-cycle submajor second | | 19-cycle submajor second | ||
| | | Quadbila-fithenobi | ||
| | | L<sup>8</sup>19o<sup>53</sup>16 | ||
| | | | ||
| {{monzo| -225 0 0 0 0 0 0 53 }} | | {{monzo| -225 0 0 0 0 0 0 53 }} | ||
| 168.190 | | 168.190 | ||
|- | |||
| Dog comma | |||
| Inu | |||
| 19u1 | |||
| [[81/76|81 / 76]] | |||
| {{monzo| -2 4 0 0 0 0 0 -1 }} | |||
| 110.307 | |||
|} | |} | ||
[[Category:Large commas| ]] <!-- main article --> | [[Category:Large commas| ]] <!-- main article --> | ||
[[Category:Lists of commas]] | [[Category:Lists of commas]] |