Unnoticeable comma: Difference between revisions

Higher-limit commas: 23-limit needs love
m Cleanup
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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 }}


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|-
|-
! Name(s)
! Name(s)
! colspan="2" | [[Color name]]
! colspan="2" | [[Color name|Color Name]]
! Monzo
! [[Monzo]]
! Cents
! [[Cent]]s
|-
|-
| 359-comma
| 359-comma
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|}
|}


== 5-limit commas ==
=== 5-limit commas ===
{{See also| Table of 5-limit commas }}
{{See also| Table of 5-limit commas }}


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|-
|-
! Name(s)
! Name(s)
! colspan="2" | [[Color name]]
! colspan="2" | [[Color name|Color Name]]
! Ratio
! [[Ratio]]
! Monzo
! [[Monzo]]
! Cents
! [[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 }}
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| [[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 }}
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| [[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 }}
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| [[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 }}
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| [[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 }}
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| [[schisma]]
| [[schisma]]
| Layo
| Layo
|Ly-2
| Ly-2
| 32805/32768
| 32805/32768
| {{monzo| -15 8 1 }}
| {{monzo| -15 8 1 }}
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| [[counterschisma]]
| [[counterschisma]]
| Tribilagu
| Tribilagu
|L<sup>6</sup>g-5
| L<sup>6</sup>g-5
|  
|  
| {{monzo| -69 45 -1 }}
| {{monzo| -69 45 -1 }}
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| [[septendecima]]
| [[septendecima]]
| Lala-sebiyo
| Lala-sebiyo
|LLy<sup>34</sup>-8
| LLy<sup>34</sup>-8
|  
|  
| {{monzo| -52 -17 34 }}
| {{monzo| -52 -17 34 }}
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| 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 }}
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| [[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 }}
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| [[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 }}
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| [[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 }}
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| 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 }}
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| whoosh
| whoosh
| Saletrigu
| Saletrigu
|sg<sup>33</sup>7
| sg<sup>33</sup>7
|  
|  
| {{monzo| 37 25 -33 }}
| {{monzo| 37 25 -33 }}
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| egads
| egads
| Setriyo
| Setriyo
|y<sup>51</sup>-9
| y<sup>51</sup>-9
|  
|  
| {{monzo| -36 -52 51 }}
| {{monzo| -36 -52 51 }}
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| [[monzisma]]
| [[monzisma]]
| Quinsa-yoyo
| Quinsa-yoyo
|s<sup>5</sup>yy4
| s<sup>5</sup>yy4
|  
|  
| {{monzo| 54 -37 2 }}
| {{monzo| 54 -37 2 }}
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| 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 }}
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| 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 }}
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| 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 }}
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| 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 }}
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| 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 }}
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| 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 }}
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| 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 }}
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| [[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 }}
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|}
|}


== 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]]
! Cents
! [[Cent]]s
|-
|-
| [[decovulture]]
| [[decovulture]]
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| [[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 }}
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|}
|}


== 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]]
! Cents
! [[Cent]]s
|-
|-
| [[swetismic_chords|swetisma]]
| [[swetismic_chords|swetisma]]
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| 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]]
! Cents
! [[Cent]]s
|-
|-
| [[wilschisma]]
| [[wilschisma]]
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|}
|}


== 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]]
! Cents
! [[Cent]]s
|-
|-
| dakotisma
| dakotisma
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|}
|}


== 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]]
! Cents
! [[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]]
! Cents
! [[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]]
! Cents
! [[Cent]]s
|-
|-
| cmloegcmluinisma (/ˈʃmlɛg.ʃmlɪ.nɪs.mə/)
| cmloegcmluinisma (/ˈʃmlɛg.ʃmlɪ.nɪs.mə/)