Large comma: Difference between revisions

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Line 18: Line 18:
|w2
|w2
| [[9/8|9 / 8]]
| [[9/8|9 / 8]]
| {{Monzo| -3 2 }}
| {{monzo| -3 2 }}
| 203.91
| 203.91
|-
|-
Line 25: Line 25:
|w-43
|w-43
|  
|  
| {{Monzo| -68 43 }}
| {{monzo| -68 43 }}
| 184.065
| 184.065
|-
|-
Line 32: Line 32:
|w-63
|w-63
|  
|  
| {{Monzo| 100 -63 }}
| {{monzo| 100 -63 }}
|  176.835
|  176.835
|-
|-
Line 39: Line 39:
|w-31
|w-31
| 617673396283947 / 562949953421312
| 617673396283947 / 562949953421312
| {{Monzo| -49 31 }}
| {{monzo| -49 31 }}
| 160.605
| 160.605
|-
|-
Line 46: Line 46:
|w-22
|w-22
| 34359738368 / 31381059609
| 34359738368 / 31381059609
| {{Monzo| 35 -22 }}
| {{monzo| 35 -22 }}
| 156.99
| 156.99
|-
|-
Line 53: Line 53:
|w-19
|w-19
| 1162261467 / 1073741824
| 1162261467 / 1073741824
| {{Monzo| -30 19 }}
| {{monzo| -30 19 }}
| 137.145
| 137.145
|-
|-
Line 60: Line 60:
|Lw1
|Lw1
| [[2187/2048|2187 / 2048]]
| [[2187/2048|2187 / 2048]]
| {{Monzo| -11 7 }}
| {{monzo| -11 7 }}
| 113.685
| 113.685
|-
|-
Line 67: Line 67:
|w-46
|w-46
|  
|  
| {{Monzo| 73 -46 }}
| {{monzo| 73 -46 }}
| 110.07
| 110.07
|}
|}
Line 85: Line 85:
|
|
|
|
| {{Monzo| -1393 0 600 }}
| {{monzo| -1393 0 600 }}
| 188.228
| 188.228
|-
|-
Line 92: Line 92:
|
|
|  
|  
| {{Monzo| 23 31 -31 }}
| {{monzo| 23 31 -31 }}
| 184.88
| 184.88
|-
|-
Line 99: Line 99:
|y2
|y2
| [[10/9|10 / 9]]
| [[10/9|10 / 9]]
| {{Monzo| 1 -2 1 }}
| {{monzo| 1 -2 1 }}
| 182.404
| 182.404
|-
|-
Line 106: Line 106:
|
|
| 152587890625 / 137438953472
| 152587890625 / 137438953472
| {{Monzo| -37 0 16 }}
| {{monzo| -37 0 16 }}
| 181.019
| 181.019
|-
|-
Line 113: Line 113:
|Ly<sup>3</sup>1
|Ly<sup>3</sup>1
| 1125 / 1024
| 1125 / 1024
| {{Monzo| -10 2 3 }}
| {{monzo| -10 2 3 }}
| 162.851
| 162.851
|-
|-
Line 120: Line 120:
|syy2
|syy2
| 800 / 729
| 800 / 729
| {{Monzo| 5 -6 2 }}
| {{monzo| 5 -6 2 }}
| 160.897
| 160.897
|-
|-
Line 127: Line 127:
|Lg<sup>3</sup>2
|Lg<sup>3</sup>2
| 2187 / 2000
| 2187 / 2000
| {{Monzo| -4 7 -3 }}
| {{monzo| -4 7 -3 }}
| 154.744
| 154.744
|-
|-
Line 134: Line 134:
|
|
| 19073486328125 / 17592186044416
| 19073486328125 / 17592186044416
| {{Monzo| -44 0 19 }}
| {{monzo| -44 0 19 }}
| 139.961
| 139.961
|-
|-
Line 141: Line 141:
|
|
|  
|  
| {{Monzo| -121 31 31 }}
| {{monzo| -121 31 31 }}
| 136.33
| 136.33
|-
|-
Line 148: Line 148:
|gg2
|gg2
| [[27/25|27 / 25]]
| [[27/25|27 / 25]]
| {{Monzo| 0 3 -2 }}
| {{monzo| 0 3 -2 }}
| 133.238
| 133.238
|-
|-
Line 155: Line 155:
|y<sup>11</sup>-2
|y<sup>11</sup>-2
| 48828125 / 45349632
| 48828125 / 45349632
| {{Monzo| -8 -11 11 }}
| {{monzo| -8 -11 11 }}
| 127.946
| 127.946
|-
|-
Line 162: Line 162:
|
|
|  
|  
| {{Monzo| 20 27 -27 }}
| {{monzo| 20 27 -27 }}
| 122.315
| 122.315
|-
|-
Line 169: Line 169:
|Ly<sup>6</sup>-2
|Ly<sup>6</sup>-2
| 140625 / 131072
| 140625 / 131072
| {{Monzo| -17 2 6 }}
| {{monzo| -17 2 6 }}
| 121.792
| 121.792
|-
|-
Line 176: Line 176:
|
|
|  
|  
| {{Monzo| 340 -87 -87 }}
| {{monzo| 340 -87 -87 }}
| 120.622
| 120.622
|-
|-
Line 183: Line 183:
|y<sup>5</sup>1
|y<sup>5</sup>1
| 3125 / 2916
| 3125 / 2916
| {{Monzo| -2 -6 5 }}
| {{monzo| -2 -6 5 }}
| 119.839
| 119.839
|-
|-
Line 190: Line 190:
|Lg<sup>13</sup>3
|Lg<sup>13</sup>3
| 10460353203 / 9765625000
| 10460353203 / 9765625000
| {{Monzo| -3 21 -13 }}
| {{monzo| -3 21 -13 }}
| 118.977
| 118.977
|-
|-
Line 197: Line 197:
|sy<sup>4</sup>2
|sy<sup>4</sup>2
| 5120000 / 4782969
| 5120000 / 4782969
| {{Monzo| 13 -14 4 }}
| {{monzo| 13 -14 4 }}
| 117.885
| 117.885
|-
|-
Line 204: Line 204:
|g2
|g2
| [[16/15|16 / 15]]
| [[16/15|16 / 15]]
| {{Monzo| 4 -1 -1 }}
| {{monzo| 4 -1 -1 }}
| 111.731
| 111.731
|-
|-
Line 211: Line 211:
|ssgg3
|ssgg3
| 524288 / 492075
| 524288 / 492075
| {{Monzo| 19 -9 -2 }}
| {{monzo| 19 -9 -2 }}
| 109.778
| 109.778
|-
|-
Line 218: Line 218:
|
|
|  
|  
| {{Monzo| -221 -300 300 }}
| {{monzo| -221 -300 300 }}
| 107.614
| 107.614
|-
|-
Line 225: Line 225:
|Lg<sup>6</sup>2
|Lg<sup>6</sup>2
| 531441 / 500000
| 531441 / 500000
| {{Monzo| -5 12 -6 }}
| {{monzo| -5 12 -6 }}
| 105.578
| 105.578
|-
|-
Line 232: Line 232:
|Ly<sup>7</sup>-2
|Ly<sup>7</sup>-2
| 78125 / 73728
| 78125 / 73728
| {{Monzo| -13 -2 7 }}
| {{monzo| -13 -2 7 }}
| 100.286
| 100.286
|}
|}
Line 257: Line 257:
|sr<sup>6</sup>-2
|sr<sup>6</sup>-2
|
|
| {{Monzo| 17 0 0 -6 }}
| {{monzo| 17 0 0 -6 }}
| 187.045
| 187.045
|-
|-
Line 264: Line 264:
|
|
|
|
| {{Monzo| 22 0 45 -45 }}
| {{monzo| 22 0 45 -45 }}
| 186.951
| 186.951
|-
|-
Line 271: Line 271:
|
|
|
|
| {{Monzo| -323 0 63 63 }}
| {{monzo| -323 0 63 63 }}
| 173.796
| 173.796
|-
|-
Line 278: Line 278:
|LLz<sup>8</sup>4
|LLz<sup>8</sup>4
|
|
| {{Monzo| -35 8 0 8 }}
| {{monzo| -35 8 0 8 }}
| 166.247
| 166.247
|-
|-
Line 285: Line 285:
|
|
|
|
| {{Monzo| -129 0 0 46 }}
| {{monzo| -129 0 0 46 }}
| 165.992
| 165.992
|-
|-
Line 292: Line 292:
|
|
|
|
| {{Monzo| -12 0 -25 25 }}
| {{monzo| -12 0 -25 25 }}
| 162.805
| 162.805
|-
|-
Line 299: Line 299:
|
|
|
|
| {{Monzo| 189 -43 0 -43 }}
| {{monzo| 189 -43 0 -43 }}
| 156.421
| 156.421
|-
|-
Line 306: Line 306:
|
|
|
|
| {{Monzo| 21 0 43 -43 }}
| {{monzo| 21 0 43 -43 }}
| 151.976
| 151.976
|-
|-
Line 313: Line 313:
|ssr<sup>11</sup>-4
|ssr<sup>11</sup>-4
|
|
| {{Monzo| 31 0 0 -11 }}
| {{monzo| 31 0 0 -11 }}
| 142.915
| 142.915
|-
|-
Line 320: Line 320:
|
|
|
|
| {{Monzo| -282 0 55 55 }}
| {{monzo| -282 0 55 55 }}
| 132.679
| 132.679
|-
|-
Line 327: Line 327:
|
|
|
|
| {{Monzo| -13 0 -27 27 }}
| {{monzo| -13 0 -27 27 }}
| 127.829
| 127.829
|-
|-
Line 334: Line 334:
|
|
|
|
| {{Monzo| -115 0 0 41 }}
| {{monzo| -115 0 0 41 }}
| 121.862
| 121.862
|-
|-
Line 341: Line 341:
|L<sup>4</sup>z<sup>13</sup>5
|L<sup>4</sup>z<sup>13</sup>5
|
|
| {{Monzo| -57 13 0 13 }}
| {{monzo| -57 13 0 13 }}
| 120.152
| 120.152
|-
|-
Line 348: Line 348:
|ry1
|ry1
|15/14
|15/14
| {{Monzo| -1 1 1 -1 }}
| {{monzo| -1 1 1 -1 }}
| 119.443
| 119.443
|-
|-
Line 355: Line 355:
|
|
|
|
| {{Monzo| 20 0 41 -41 }}
| {{monzo| 20 0 41 -41 }}
| 117
| 117
|-
|-
Line 362: Line 362:
|ssr<sup>7</sup>g<sup>7</sup>1
|ssr<sup>7</sup>g<sup>7</sup>1
|
|
| {{Monzo| 36 0 -7 -7 }}
| {{monzo| 36 0 -7 -7 }}
| 114.023
| 114.023
|-
|-
Line 369: Line 369:
|
|
|
|
| {{Monzo| 167 -38 0 -38 }}
| {{monzo| 167 -38 0 -38 }}
| 110.326
| 110.326
|}
|}
Line 387: Line 387:
|
|
|
|
| {{Monzo| -114 0 0 0 33 }}
| {{monzo| -114 0 0 0 33 }}
| 193.492
| 193.492
|-
|-
Line 394: Line 394:
|1og2
|1og2
|11/10
|11/10
| {{Monzo| -1 0 -1 0 1 }}
| {{monzo| -1 0 -1 0 1 }}
| 165.004
| 165.004
|-
|-
Line 401: Line 401:
|L1o<sup>9</sup>-2
|L1o<sup>9</sup>-2
|
|
| {{Monzo| -31 0 0 0 9 }}
| {{monzo| -31 0 0 0 9 }}
| 161.862
| 161.862
|-
|-
Line 408: Line 408:
|1u2
|1u2
|12/11
|12/11
| {{Monzo| 2 1 0 0 -1 }}
| {{monzo| 2 1 0 0 -1 }}
| 150.637
| 150.637
|}
|}
Line 426: Line 426:
|
|
|
|
| {{Monzo| -196 0 0 0 0 53 }}
| {{monzo| -196 0 0 0 0 53 }}
| 147.966
| 147.966
|-
|-
Line 433: Line 433:
|3o2
|3o2
|13/12
|13/12
| {{Monzo| -2 -1 0 0 0 1 }}
| {{monzo| -2 -1 0 0 0 1 }}
| 138.573
| 138.573
|-
|-
Line 440: Line 440:
|3uz2
|3uz2
|14/13
|14/13
| {{Monzo| 1 0 0 1 0 -1 }}
| {{monzo| 1 0 0 1 0 -1 }}
| 128.298
| 128.298
|-
|-
Line 447: Line 447:
|s3u<sup>7</sup>1
|s3u<sup>7</sup>1
|
|
| {{Monzo| 26 0 0 0 0 -7 }}
| {{monzo| 26 0 0 0 0 -7 }}
| 116.306
| 116.306
|-
|-
Line 454: Line 454:
|ss3u<sup>7</sup>-2
|ss3u<sup>7</sup>-2
|
|
| {{Monzo| 63 0 0 0 0 -17 }}
| {{monzo| 63 0 0 0 0 -17 }}
| 111.030
| 111.030
|}
|}
Line 479: Line 479:
|17o2
|17o2
|17/16
|17/16
| {{Monzo| -4 0 0 0 0 0 1 }}
| {{monzo| -4 0 0 0 0 0 1 }}
| 104.955
| 104.955
|}
|}
Line 497: Line 497:
|
|
|
|
| {{Monzo| -174 0 0 0 0 0 0 41 }}
| {{monzo| -174 0 0 0 0 0 0 41 }}
| 198.034
| 198.034
|-
|-
Line 504: Line 504:
| 19o17u
| 19o17u
| 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
|-
|-
Line 511: Line 511:
|
|
|
|
| {{Monzo| -191 0 0 0 0 0 0 45 }}
| {{monzo| -191 0 0 0 0 0 0 45 }}
| 188.086
| 188.086
|-
|-
Line 518: Line 518:
|
|
|
|
| {{Monzo| -208 0 0 0 0 0 0 49 }}
| {{monzo| -208 0 0 0 0 0 0 49 }}
| 178.138
| 178.138
|-
|-
Line 525: Line 525:
| 19uzo
| 19uzo
| 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
|-
|-
Line 532: Line 532:
|
|
|
|
| {{Monzo| -225 0 0 0 0 0 0 53 }}
| {{monzo| -225 0 0 0 0 0 0 53 }}
| 168.190
| 168.190
|}
|}

Revision as of 12:30, 17 January 2021

A Large comma is a comma whose size is approximately between 30 and 100 cents. 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 comma w-43 [-68 43⟩ 184.065
63-comma wa-63 comma w-63 [100 -63⟩ 176.835
31-comma wa-31 comma w-31 617673396283947 / 562949953421312 [-49 31⟩ 160.605
22-comma wa-22 comma w-22 34359738368 / 31381059609 [35 -22⟩ 156.99
19-comma wa-19 comma w-19 1162261467 / 1073741824 [-30 19⟩ 137.145
apotome large wa unison Lw1 2187 / 2048 [-11 7⟩ 113.685
46-comma wa-46 comma w-46 [73 -46⟩ 110.07

5-limit commas

Name(s) Color Name Ratio Monzo Cents
meantone Integer cents comma [-1393 0 600⟩ 188.228
31-3/5-comma [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 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
acute limma 19073486328125 / 17592186044416 [-44 0 19⟩ 139.961
31-15-comma [-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 [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 Ru 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 [22 0 45 -45⟩ 186.951
63-35-comma [-323 0 63 63⟩ 173.796
8-21-comma Lala-quadbizo LLz84 [-35 8 0 8⟩ 166.247
46-7-comma [-129 0 0 46⟩ 165.992
25-7/5-comma [-12 0 -25 25⟩ 162.805
43-21-comma [189 -43 0 -43⟩ 156.421
43-7/5-comma [21 0 43 -43⟩ 151.976
hendecatone comma, 11-7-comma Sasa-leru ssr11-4 [31 0 0 -11⟩ 142.915
55-35-comma [-282 0 55 55⟩ 132.679
27-7/5-comma [-13 0 -27 27⟩ 127.829
41-7-comma [-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 [20 0 41 -41⟩ 117
7-35-comma Sasa-seprugu ssr7g71 [36 0 -7 -7⟩ 114.023
38-21-comma [167 -38 0 -38⟩ 110.326

11-limit commas

Name(s) Color Name Ratio Monzo Cents
11-cycle major second prote, 33-11-comma [-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 [-31 0 0 0 9⟩ 161.862
3/4-tone, undecimal neutral second Lu 1u2 12/11 [2 1 0 0 -1⟩ 150.637

13-limit commas

Name(s) Color Name Ratio Monzo Cents
13-cycle neutral second [-196 0 0 0 0 53⟩ 147.966
tridecimal 2/3-tone Tho 3o2 13/12 [-2 -1 0 0 0 1⟩ 138.573
2/3-tone Thuzo 3uz2 14/13 [1 0 0 1 0 -1⟩ 128.298
heptasixth comma, 13-cycle secor Sasepthu s3u71 [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 [-174 0 0 0 0 0 0 41⟩ 198.034
19-limit rational meantone Nosu 19o17u 19/17 [0 0 0 0 0 0 -1 1⟩ 192.558
19-cycle meantone secunda [-191 0 0 0 0 0 0 45⟩ 188.086
19-cycle minor tone [-208 0 0 0 0 0 0 49⟩ 178.138
19-limit rational submajor second Nuzo 19uzo 21/19 [0 1 0 1 0 0 0 -1⟩ 173.268
19-cycle submajor second [-225 0 0 0 0 0 0 53⟩ 168.190
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