Unnoticeable comma: Difference between revisions
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Due to the wide range of sizes, cents values here and on the other commas pages are listed to 5 significant digits, instead of to a fixed number of decimal places as is the [[conventions|convention]] elsewhere on the wiki. 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. | Due to the wide range of sizes, cents values here and on the other commas pages are listed to 5 significant digits, instead of to a fixed number of decimal places as is the [[conventions|convention]] elsewhere on the wiki. 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 == | == List of commas, by prime limit == | ||
=== 3-limit commas === | |||
{{See also| Table of 3-limit commas }} | {{See also| Table of 3-limit commas }} | ||
| Line 11: | Line 12: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" | [[Color name]] | ! colspan="2" | [[Color name|Color Name]] | ||
! Monzo | ! [[Monzo]] | ||
! | ! [[Cent]]s | ||
|- | |- | ||
| 359-comma | | 359-comma | ||
| Line 52: | Line 53: | ||
|} | |} | ||
== 5-limit commas == | === 5-limit commas === | ||
{{See also| Table of 5-limit commas }} | {{See also| Table of 5-limit commas }} | ||
| Line 58: | Line 59: | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" | [[Color name]] | ! colspan="2" | [[Color name|Color Name]] | ||
! Ratio | ! [[Ratio]] | ||
! Monzo | ! [[Monzo]] | ||
! | ! [[Cent]]s | ||
|- | |- | ||
| [[dodifo]] | | [[dodifo]] | ||
| Quadla-sepquinyo | | Quadla-sepquinyo | ||
|L<sup>4</sup>y<sup>35</sup>-9 | | L<sup>4</sup>y<sup>35</sup>-9 | ||
| | | | ||
| {{monzo| -67 -9 35 }} | | {{monzo| -67 -9 35 }} | ||
| Line 72: | Line 73: | ||
| [[vishnuzma]], semisuper | | [[vishnuzma]], semisuper | ||
| Sasepbigu | | Sasepbigu | ||
|sg<sup>14</sup>4 | | sg<sup>14</sup>4 | ||
| 6115295232/6103515625 | | 6115295232/6103515625 | ||
| {{monzo| 23 6 -14 }} | | {{monzo| 23 6 -14 }} | ||
| Line 79: | Line 80: | ||
| [[enneadeca]], 19-tone-comma | | [[enneadeca]], 19-tone-comma | ||
| Neyo | | Neyo | ||
|y<sup>19</sup>-4 | | y<sup>19</sup>-4 | ||
| 19073486328125/19042491875328 | | 19073486328125/19042491875328 | ||
| {{monzo| -14 -19 19 }} | | {{monzo| -14 -19 19 }} | ||
| Line 86: | Line 87: | ||
| [[vavoom comma]] | | [[vavoom comma]] | ||
| Quinla-seyo | | Quinla-seyo | ||
|L<sup>5</sup>y<sup>17</sup>-7 | | L<sup>5</sup>y<sup>17</sup>-7 | ||
| | | | ||
| {{monzo| -68 18 17 }} | | {{monzo| -68 18 17 }} | ||
| Line 93: | Line 94: | ||
| [[tricot comma]] | | [[tricot comma]] | ||
| Quadsa-triyo | | Quadsa-triyo | ||
|s<sup>4</sup>y<sup>3</sup>3 | | s<sup>4</sup>y<sup>3</sup>3 | ||
| 68719476736000/68630377364883 | | 68719476736000/68630377364883 | ||
| {{monzo| 39 -29 3 }} | | {{monzo| 39 -29 3 }} | ||
| Line 100: | Line 101: | ||
| [[schisma]] | | [[schisma]] | ||
| Layo | | Layo | ||
|Ly-2 | | Ly-2 | ||
| 32805/32768 | | 32805/32768 | ||
| {{monzo| -15 8 1 }} | | {{monzo| -15 8 1 }} | ||
| Line 107: | Line 108: | ||
| [[counterschisma]] | | [[counterschisma]] | ||
| Tribilagu | | Tribilagu | ||
|L<sup>6</sup>g-5 | | L<sup>6</sup>g-5 | ||
| | | | ||
| {{monzo| -69 45 -1 }} | | {{monzo| -69 45 -1 }} | ||
| Line 114: | Line 115: | ||
| [[septendecima]] | | [[septendecima]] | ||
| Lala-sebiyo | | Lala-sebiyo | ||
|LLy<sup>34</sup>-8 | | LLy<sup>34</sup>-8 | ||
| | | | ||
| {{monzo| -52 -17 34 }} | | {{monzo| -52 -17 34 }} | ||
| Line 121: | Line 122: | ||
| hemithirds comma, lunama | | hemithirds comma, lunama | ||
| Sasa-quintrigu | | Sasa-quintrigu | ||
|ssg<sup>15</sup>5 | | ssg<sup>15</sup>5 | ||
| 274877906944/274658203125 | | 274877906944/274658203125 | ||
| {{monzo| 38 -2 -15 }} | | {{monzo| 38 -2 -15 }} | ||
| Line 128: | Line 129: | ||
| [[minortone comma]], minortonma | | [[minortone comma]], minortonma | ||
| Trila-segu | | Trila-segu | ||
|L<sup>3</sup>g<sup>17</sup>2 | | L<sup>3</sup>g<sup>17</sup>2 | ||
| | | | ||
| {{monzo| -16 35 -17 }} | | {{monzo| -16 35 -17 }} | ||
| Line 135: | Line 136: | ||
| [[ennealimma]] | | [[ennealimma]] | ||
| Satritribiyo | | Satritribiyo | ||
|sy<sup>18</sup>-3 | | sy<sup>18</sup>-3 | ||
| 7629394531250/7625597484987 | | 7629394531250/7625597484987 | ||
| {{monzo| 1 -27 18 }} | | {{monzo| 1 -27 18 }} | ||
| Line 149: | Line 150: | ||
| [[Gaster temperament|gaster comma]] | | [[Gaster temperament|gaster comma]] | ||
| Quadbila-negu | | Quadbila-negu | ||
|L<sup>8</sup>g<sup>19</sup>-3 | | L<sup>8</sup>g<sup>19</sup>-3 | ||
| | | | ||
| {{monzo| -70 72 -19 }} | | {{monzo| -70 72 -19 }} | ||
| Line 156: | Line 157: | ||
| kwazy | | kwazy | ||
| Quadla-quadquadyo | | Quadla-quadquadyo | ||
|L<sup>4</sup>y<sup>16</sup>-6 | | L<sup>4</sup>y<sup>16</sup>-6 | ||
| | | | ||
| {{monzo| -53 10 16 }} | | {{monzo| -53 10 16 }} | ||
| Line 163: | Line 164: | ||
| whoosh | | whoosh | ||
| Saletrigu | | Saletrigu | ||
|sg<sup>33</sup>7 | | sg<sup>33</sup>7 | ||
| | | | ||
| {{monzo| 37 25 -33 }} | | {{monzo| 37 25 -33 }} | ||
| Line 170: | Line 171: | ||
| egads | | egads | ||
| Setriyo | | Setriyo | ||
|y<sup>51</sup>-9 | | y<sup>51</sup>-9 | ||
| | | | ||
| {{monzo| -36 -52 51 }} | | {{monzo| -36 -52 51 }} | ||
| Line 177: | Line 178: | ||
| [[monzisma]] | | [[monzisma]] | ||
| Quinsa-yoyo | | Quinsa-yoyo | ||
|s<sup>5</sup>yy4 | | s<sup>5</sup>yy4 | ||
| | | | ||
| {{monzo| 54 -37 2 }} | | {{monzo| 54 -37 2 }} | ||
| Line 184: | Line 185: | ||
| fortune | | fortune | ||
| Tritrila-sepbiyo | | Tritrila-sepbiyo | ||
|L<sup>9</sup>y<sup>14</sup>-9 | | L<sup>9</sup>y<sup>14</sup>-9 | ||
| | | | ||
| {{monzo| -107 47 14 }} | | {{monzo| -107 47 14 }} | ||
| Line 191: | Line 192: | ||
| gross | | gross | ||
| Quinbisa-fosegu | | Quinbisa-fosegu | ||
|s<sup>10</sup>g<sup>47</sup>15 | | s<sup>10</sup>g<sup>47</sup>15 | ||
| | | | ||
| {{monzo| 144 -22 -47 }} | | {{monzo| 144 -22 -47 }} | ||
| Line 198: | Line 199: | ||
| senior | | senior | ||
| Quadla-sepquingu | | Quadla-sepquingu | ||
|L<sup>4</sup>g<sup>35</sup>4 | | L<sup>4</sup>g<sup>35</sup>4 | ||
| | | | ||
| {{monzo| -17 62 -35 }} | | {{monzo| -17 62 -35 }} | ||
| Line 205: | Line 206: | ||
| 665&3684 comma | | 665&3684 comma | ||
| Quintritrilayo | | Quintritrilayo | ||
|L<sup>45</sup>y-31 | | L<sup>45</sup>y-31 | ||
| | | | ||
| {{monzo| -500 314 1 }} | | {{monzo| -500 314 1 }} | ||
| Line 212: | Line 213: | ||
| raider | | raider | ||
| Tritrisa-thiseyo | | Tritrisa-thiseyo | ||
|s<sup>9</sup>y<sup>37</sup>1 | | s<sup>9</sup>y<sup>37</sup>1 | ||
| | | | ||
| {{monzo| 71 -99 37 }} | | {{monzo| 71 -99 37 }} | ||
| Line 219: | Line 220: | ||
| pirate | | pirate | ||
| Quinla-sepsepyo | | Quinla-sepsepyo | ||
|L<sup>5</sup>y<sup>49</sup>-12 | | L<sup>5</sup>y<sup>49</sup>-12 | ||
| | | | ||
| {{monzo| -90 -15 49 }} | | {{monzo| -90 -15 49 }} | ||
| Line 226: | Line 227: | ||
| viking | | viking | ||
| Nela-siweyo | | Nela-siweyo | ||
|L<sup>19</sup>y<sup>61</sup>-23 | | L<sup>19</sup>y<sup>61</sup>-23 | ||
| | | | ||
| {{monzo| -251 69 61 }} | | {{monzo| -251 69 61 }} | ||
| Line 233: | Line 234: | ||
| [[Kirnberger's atom]] | | [[Kirnberger's atom]] | ||
| Sepbisa-quadtrigu | | Sepbisa-quadtrigu | ||
|s<sup>14</sup>g<sup>12</sup>12 | | s<sup>14</sup>g<sup>12</sup>12 | ||
| | | | ||
| {{monzo| 161 -84 -12 }} | | {{monzo| 161 -84 -12 }} | ||
| Line 281: | Line 282: | ||
|} | |} | ||
== 7-limit commas == | === 7-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" | [[Color name]] | ! colspan="2" | [[Color name|Color Name]] | ||
! Ratio | ! [[Ratio]] | ||
! Monzo | ! [[Monzo]] | ||
! | ! [[Cent]]s | ||
|- | |- | ||
| [[decovulture]] | | [[decovulture]] | ||
| Line 439: | Line 440: | ||
| [[Landscape comma|landscape]] | | [[Landscape comma|landscape]] | ||
| Trizogugu | | Trizogugu | ||
|z<sup>3</sup>g<sup>6</sup>3 | | z<sup>3</sup>g<sup>6</sup>3 | ||
| 250047/250000 | | 250047/250000 | ||
| {{monzo| -4 6 -6 3 }} | | {{monzo| -4 6 -6 3 }} | ||
| Line 522: | Line 523: | ||
|} | |} | ||
== 11-limit commas == | === 11-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! Name(s) | ! Name(s) | ||
! colspan="2" | [[Color name]] | ! colspan="2" | [[Color name|Color Name]] | ||
! Ratio | ! [[Ratio]] | ||
! Monzo | ! [[Monzo]] | ||
! | ! [[Cent]]s | ||
|- | |- | ||
| [[swetismic_chords|swetisma]] | | [[swetismic_chords|swetisma]] | ||
| Line 668: | Line 669: | ||
| ss1o<sup>10</sup>zz2 | | ss1o<sup>10</sup>zz2 | ||
| | | | ||
| {{monzo| 1 -26 0 2 10}} | | {{monzo| 1 -26 0 2 10 }} | ||
| 0.0012141 | | 0.0012141 | ||
|} | |} | ||
== 13-limit commas == | === 13-limit commas === | ||
{| class="wikitable center-3" | {| class="wikitable center-3" | ||
|- | |- | ||
! Name | ! Name | ||
! colspan="2" | [[Color name]] | ! colspan="2" | [[Color name|Color Name]] | ||
! Ratio | ! [[Ratio]] | ||
! Monzo | ! [[Monzo]] | ||
! | ! [[Cent]]s | ||
|- | |- | ||
| [[wilschisma]] | | [[wilschisma]] | ||
| Line 808: | Line 809: | ||
|} | |} | ||
== 17-limit commas == | === 17-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! Name | ! [[Name]] | ||
! colspan="2" | [[Color name]] | ! colspan="2" | [[Color name|Color Name]] | ||
! Ratio | ! [[Ratio]] | ||
! Monzo | ! [[Monzo]] | ||
! | ! [[Cent]]s | ||
|- | |- | ||
| dakotisma | | dakotisma | ||
| Line 962: | Line 963: | ||
|} | |} | ||
== 19-limit commas == | === 19-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! Name | ! Name | ||
! colspan="2" | [[Color name]] | ! colspan="2" | [[Color name|Color Name]] | ||
! Ratio | ! [[Ratio]] | ||
! Monzo | ! [[Monzo]] | ||
! | ! [[Cent]]s | ||
|- | |- | ||
| undevicesimal comma, undevicesimal schisma<ref>[https://marsbat.space/pdfs/HEJI2legend+series.pdf The Helmholtz-Ellis JI Pitch Notation (HEJI)]</ref>, <br> Boethius' comma, Hunt 19-minor mediant comma | | undevicesimal comma, undevicesimal schisma<ref>[https://marsbat.space/pdfs/HEJI2legend+series.pdf The Helmholtz-Ellis JI Pitch Notation (HEJI)]</ref>, <br> Boethius' comma, Hunt 19-minor mediant comma | ||
| Line 1,042: | Line 1,043: | ||
|} | |} | ||
== 23-limit commas == | === 23-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! Name | ! [[Name]] | ||
! colspan="2" | [[Color name]] | ! colspan="2" | [[Color name|Color Name]] | ||
! Ratio | ! [[Ratio]] | ||
! Monzo | ! [[Monzo]] | ||
! | ! [[Cent]]s | ||
|- | |- | ||
| [[kaifsma]] | | [[kaifsma]] | ||
| Line 1,059: | Line 1,060: | ||
|} | |} | ||
== Higher-limit commas == | === Higher-limit commas === | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! Name | ! [[Name]] | ||
! colspan="2" | [[Color name]] | ! colspan="2" | [[Color name|Color Name]] | ||
! Ratio | ! [[Ratio]] | ||
! Monzo | ! [[Monzo]] | ||
! | ! [[Cent]]s | ||
|- | |- | ||
| cmloegcmluinisma (/ˈʃmlɛg.ʃmlɪ.nɪs.mə/) | | cmloegcmluinisma (/ˈʃmlɛg.ʃmlɪ.nɪs.mə/) | ||