Large comma: Difference between revisions

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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-43
| L<sup>6</sup>w-4
|  
|  
| {{monzo| -68 43 }}
| {{monzo| -68 43 }}
Line 30: Line 30:
| 63-comma
| 63-comma
| Wa-63
| Wa-63
| w-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-31
| 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
| w-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-19
| 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
| w-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]]==
== 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]]==
== 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]]==
== 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]]==
== 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]]==
== 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
| 19o17u
| 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
| 19uzo
| 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]]

Revision as of 05:31, 10 December 2023

A Large comma is a comma whose size is approximately 100 cents and larger. As intervals, these commas are steps or even skips.

For commas under 100 cents, see Medium comma for commas in between 30 and 100 cents or Small comma for commas under 30 cents. For commas under 3.5 cents, see Unnoticeable comma.

Except for the 3-limit commas, the color name refers to both the comma and the temperament created when it is tempered out.

3-limit commas

Name(s) Color Name Ratio Monzo Cents
whole tone wa 2nd w2 9 / 8 [-3 2⟩ 203.91
43-comma Wa-43 L6w-4 [-68 43⟩ 184.065
63-comma Wa-63 s9w8 [100 -63⟩ 176.835
31-comma Wa-31 L4w-3 617673396283947 / 562949953421312 [-49 31⟩ 160.605
22-comma Wa-22 s3w4 34359738368 / 31381059609 [35 -22⟩ 156.99
19-comma Wa-19 L3w-2 1162261467 / 1073741824 [-30 19⟩ 137.145
apotome Lawa Lw1 2187 / 2048 [-11 7⟩ 113.685
46-comma Wa-46 s7w6 [73 -46⟩ 110.07

5-limit commas

Name(s) Color Name Ratio Monzo Cents
delorean Tribigu g63 17496 / 15625 [3 7 -6⟩ 195.803
meantone Integer cents comma[clarification needed] [-1393 0 600⟩ 188.228
31-3/5-comma Thiwegu g317 [23 31 -31⟩ 184.88
minor whole tone, yo 2nd Yo y2 10 / 9 [1 -2 1⟩ 182.404
5-cycle major second, hexadecathird comma Lala-quadquadyo LLy16-4 152587890625 / 137438953472 [-37 0 16⟩ 181.019
enipucrop Latriyobi Ly31 1125 / 1024 [-10 2 3⟩ 162.851
supersharp Sayoyo syy2 800 / 729 [5 -6 2⟩ 160.897
gorgo, laconic Latrigubi Lg32 2187 / 2000 [-4 7 -3⟩ 154.744
smate, symbolic Saquadgu sg43 2048 / 1875 [11 -1 -4⟩ 152.790
acute limma Trila-neyobi L3y19-5 19073486328125 / 17592186044416 [-44 0 19⟩ 139.961
31-15-comma Tritrila-thiweyo L9y31-11 [-121 31 31⟩ 136.33
large limma Gugu gg2 27 / 25 [0 3 -2⟩ 133.238
11-3/5-comma Leyo y11-2 48828125 / 45349632 [-8 -11 11⟩ 127.946
27-3/5-comma Tritritrigu g276 [20 27 -27⟩ 122.315
lemba Latribiyo Ly6-2 140625 / 131072 [-17 2 6⟩ 121.792
87-15-comma [340 -87 -87⟩ 120.622
sixix Quinyo y51 3125 / 2916 [-2 -6 5⟩ 119.839
diesma Lathegu Lg133 10460353203 / 9765625000 [-3 21 -13⟩ 118.977
comic Saquadyobi sy42 5120000 / 4782969 [13 -14 4⟩ 117.885
just diatonic semitone Gubi g2 16 / 15 [4 -1 -1⟩ 111.731
beatles Sasa-gugu ssgg3 524288 / 492075 [19 -9 -2⟩ 109.778
300-3/5-comma [-221 -300 300⟩ 107.614
wronecki Latribigu Lg62 531441 / 500000 [-5 12 -6⟩ 105.578
wesley Lasepyobi Ly7-2 78125 / 73728 [-13 -2 7⟩ 100.286

7-limit commas

Name(s) Color Name Ratio Monzo Cents
augmented whole-tone, ru 2nd Rubi r2 8 / 7 [3 0 0 -1⟩ 231.174
hexatone comma, 6-7-comma Satribiru sr6-2 [17 0 0 -6⟩ 187.045
45-7/5-comma Quintritriruyo r45y45-27 [22 0 45 -45⟩ 186.951
63-35-comma Tritribila-septritrizoyo L18z63y638 [-323 0 63 63⟩ 173.796
8-21-comma Lala-quadbizo LLz84 [-35 8 0 8⟩ 166.247
46-7-comma Sepla-twethebizobi L7z4618 [-129 0 0 46⟩ 165.992
25-7/5-comma Quinquinzogu z25g2517 [-12 0 -25 25⟩ 162.805
43-21-comma Quadtrisa-fotherubi s12r43-11 [189 -43 0 -43⟩ 156.421
43-7/5-comma Fotheruyo r43y43-26 [21 0 43 -43⟩ 151.976
hendecatone comma, 11-7-comma Sasa-leru ssr11-4 [31 0 0 -11⟩ 142.915
55-35-comma Quadquadla-lequinzoyobi L16z55y557 [-282 0 55 55⟩ 132.679
27-7/5-comma Tritritrizogu z27g2718 [-13 0 -27 27⟩ 127.829
41-7-comma Tribila-fowezo L6z4116 [-115 0 0 41⟩ 121.862
13-21-comma Quadla-thezobi L4z135 [-57 13 0 13⟩ 120.152
major diatonic semitone Ruyo ry1 15 / 14 [-1 1 1 -1⟩ 119.443
41-7/5-comma Foweruyo r41y41-25 [20 0 41 -41⟩ 117
7-35-comma Sasa-seprugu ssr7g71 [36 0 -7 -7⟩ 114.023
38-21-comma Lesa-nebiru s11r38-10 [167 -38 0 -38⟩ 110.326

11-limit commas

Name(s) Color Name Ratio Monzo Cents
11-cycle major second prote, 33-11-comma Quinla-letrilobi L51o33-7 [-114 0 0 0 33⟩ 193.492
4/5-tone, Ptolemy's second Logu 1og2 11 / 10 [-1 0 -1 0 1⟩ 165.004
11-enipucrop, 9-11-comma Latritrilo L1o9-2 2357947691 / 2147483648 [-31 0 0 0 9⟩ 161.862
3/4-tone, undecimal neutral second Lu 1u2 12 / 11 [2 1 0 0 -1⟩ 150.637
secor Lozo 1oz2 77 / 72 [-3 -2 0 1 1⟩ 116.234

13-limit commas

Name(s) Color Name Ratio Monzo Cents
13-cycle neutral second Quadbila-fithethobi L83o537 [-196 0 0 0 0 53⟩ 147.966
large tridecimal 2/3-tone, tridecimal neutral second Tho 3o2 13 / 12 [-2 -1 0 0 0 1⟩ 138.573
2/3-tone, tridecimal limma, trienthird Thuzo 3uz2 14 / 13 [1 0 0 1 0 -1⟩ 128.298
heptasixth comma, 13-cycle secor Sasepthu s3u71 67108864 / 62748517 [26 0 0 0 0 -7⟩ 116.306
heptadecasixth comma, neutral thirteenth comma Sasa-sethubi ss3u7-2 [63 0 0 0 0 -17⟩ 111.030

17-limit commas

Name(s) Color Name Ratio Monzo Cents
17-limit rational eventone Sogubi 17og3 17 / 15 [0 -1 -1 0 0 0 1⟩ 216.687
17th harmonic Iso 17o2 17 / 16 [-4 0 0 0 0 0 1⟩ 104.955

19-limit commas

Name(s) Color Name Ratio Monzo Cents
19-cycle meantone prima Tribila-foweno L619o4113 [-174 0 0 0 0 0 0 41⟩ 198.034
19-limit rational meantone Nosu 19o17u2 19 / 17 [0 0 0 0 0 0 -1 1⟩ 192.558
19-cycle meantone secunda Tribila-quintritrino L619o4514 [-191 0 0 0 0 0 0 45⟩ 188.086
19-cycle minor tone Sepla-sepsepno L719o4915 [-208 0 0 0 0 0 0 49⟩ 178.138
19-limit rational submajor second Nuzo 19uz2 21 / 19 [0 1 0 1 0 0 0 -1⟩ 173.268
19-cycle submajor second Quadbila-fithenobi L819o5316 [-225 0 0 0 0 0 0 53⟩ 168.190
Dog comma Inu 19u1 81 / 76 [-2 4 0 0 0 0 0 -1⟩ 110.307
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