Large comma: Difference between revisions

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Line 16: Line 16:
| whole tone
| whole tone
| wa 2nd
| wa 2nd
|w2
| w2
| [[9/8|9 / 8]]
| [[9/8|9 / 8]]
| {{monzo| -3 2 }}
| {{monzo| -3 2 }}
Line 23: Line 23:
| 43-comma
| 43-comma
| wa-43 comma
| wa-43 comma
|w-43
| w-43
|  
|  
| {{monzo| -68 43 }}
| {{monzo| -68 43 }}
Line 30: Line 30:
| 63-comma
| 63-comma
| wa-63 comma
| wa-63 comma
|w-63
| w-63
|  
|  
| {{monzo| 100 -63 }}
| {{monzo| 100 -63 }}
Line 37: Line 37:
| [[31-comma_temperaments|31-comma]]
| [[31-comma_temperaments|31-comma]]
| wa-31 comma
| wa-31 comma
|w-31
| w-31
| 617673396283947 / 562949953421312
| 617673396283947 / 562949953421312
| {{monzo| -49 31 }}
| {{monzo| -49 31 }}
Line 44: Line 44:
| 22-comma
| 22-comma
| wa-22 comma
| wa-22 comma
|w-22
| w-22
| 34359738368 / 31381059609
| 34359738368 / 31381059609
| {{monzo| 35 -22 }}
| {{monzo| 35 -22 }}
Line 51: Line 51:
| 19-comma
| 19-comma
| wa-19 comma
| wa-19 comma
|w-19
| w-19
| 1162261467 / 1073741824
| 1162261467 / 1073741824
| {{monzo| -30 19 }}
| {{monzo| -30 19 }}
Line 58: Line 58:
| apotome
| apotome
| large wa unison
| large wa unison
|Lw1
| Lw1
| [[2187/2048|2187 / 2048]]
| [[2187/2048|2187 / 2048]]
| {{monzo| -11 7 }}
| {{monzo| -11 7 }}
Line 65: Line 65:
| 46-comma
| 46-comma
| wa-46 comma
| wa-46 comma
|w-46
| w-46
|  
|  
| {{monzo| 73 -46 }}
| {{monzo| 73 -46 }}
Line 80: Line 80:
! Monzo
! Monzo
! Cents
! Cents
|-
| delorean
| Tribigu
| g<sup>6</sup>3
| 17496 / 15625
| {{monzo| 3 7 -6 }}
| 195.803
|-
|-
| <strike>meantone Integer cents comma</strike>
| <strike>meantone Integer cents comma</strike>
Line 97: Line 104:
| minor whole tone, yo 2nd
| minor whole tone, yo 2nd
| Yo
| Yo
|y2
| y2
| [[10/9|10 / 9]]
| [[10/9|10 / 9]]
| {{monzo| 1 -2 1 }}
| {{monzo| 1 -2 1 }}
Line 111: Line 118:
| enipucrop
| enipucrop
| Latriyobi
| Latriyobi
|Ly<sup>3</sup>1
| Ly<sup>3</sup>1
| 1125 / 1024
| 1125 / 1024
| {{monzo| -10 2 3 }}
| {{monzo| -10 2 3 }}
Line 118: Line 125:
| supersharp
| supersharp
| Sayoyo
| Sayoyo
|syy2
| syy2
| 800 / 729
| 800 / 729
| {{monzo| 5 -6 2 }}
| {{monzo| 5 -6 2 }}
Line 125: Line 132:
| gorgo, laconic
| gorgo, laconic
| Latrigubi
| Latrigubi
|Lg<sup>3</sup>2
| Lg<sup>3</sup>2
| 2187 / 2000
| 2187 / 2000
| {{monzo| -4 7 -3 }}
| {{monzo| -4 7 -3 }}
Line 146: Line 153:
| large limma
| large limma
| Gugu
| Gugu
|gg2
| gg2
| [[27/25|27 / 25]]
| [[27/25|27 / 25]]
| {{monzo| 0 3 -2 }}
| {{monzo| 0 3 -2 }}
Line 167: Line 174:
| lemba
| lemba
| Latribiyo
| Latribiyo
|Ly<sup>6</sup>-2
| Ly<sup>6</sup>-2
| 140625 / 131072
| 140625 / 131072
| {{monzo| -17 2 6 }}
| {{monzo| -17 2 6 }}
Line 181: Line 188:
| sixix
| sixix
| Quinyo
| Quinyo
|y<sup>5</sup>1
| y<sup>5</sup>1
| 3125 / 2916
| 3125 / 2916
| {{monzo| -2 -6 5 }}
| {{monzo| -2 -6 5 }}
Line 188: Line 195:
| diesma
| diesma
| Lathegu
| Lathegu
|Lg<sup>13</sup>3
| Lg<sup>13</sup>3
| 10460353203 / 9765625000
| 10460353203 / 9765625000
| {{monzo| -3 21 -13 }}
| {{monzo| -3 21 -13 }}
Line 195: Line 202:
| comic
| comic
| Saquadyobi
| Saquadyobi
|sy<sup>4</sup>2
| sy<sup>4</sup>2
| 5120000 / 4782969
| 5120000 / 4782969
| {{monzo| 13 -14 4 }}
| {{monzo| 13 -14 4 }}
Line 202: Line 209:
| just diatonic semitone
| just diatonic semitone
| Gubi
| Gubi
|g2
| g2
| [[16/15|16 / 15]]
| [[16/15|16 / 15]]
| {{monzo| 4 -1 -1 }}
| {{monzo| 4 -1 -1 }}
Line 209: Line 216:
| beatles
| beatles
| Sasa-gugu
| Sasa-gugu
|ssgg3
| ssgg3
| 524288 / 492075
| 524288 / 492075
| {{monzo| 19 -9 -2 }}
| {{monzo| 19 -9 -2 }}
Line 223: Line 230:
| wronecki
| wronecki
| Latribigu
| Latribigu
|Lg<sup>6</sup>2
| Lg<sup>6</sup>2
| 531441 / 500000
| 531441 / 500000
| {{monzo| -5 12 -6 }}
| {{monzo| -5 12 -6 }}
Line 230: Line 237:
| wesley
| wesley
| Lasepyobi
| Lasepyobi
|Ly<sup>7</sup>-2
| Ly<sup>7</sup>-2
| 78125 / 73728
| 78125 / 73728
| {{monzo| -13 -2 7 }}
| {{monzo| -13 -2 7 }}
Line 246: Line 253:
! Cents
! Cents
|-
|-
|augmented whole-tone, ru 2nd
| augmented whole-tone, ru 2nd
|Ru
| Ru
|r2
| r2
|8/7
| 8/7
|<nowiki>| 3 0 0 -1 ></nowiki>
| {{monzo| 3 0 0 -1 }}
|231.174
| 231.174
|-
|-
| hexatone comma, 6-7-comma
| hexatone comma, 6-7-comma
| Satribiru
| Satribiru
|sr<sup>6</sup>-2
| sr<sup>6</sup>-2
|
|
| {{monzo| 17 0 0 -6 }}
| {{monzo| 17 0 0 -6 }}
Line 276: Line 283:
| 8-21-comma
| 8-21-comma
| Lala-quadbizo
| Lala-quadbizo
|LLz<sup>8</sup>4
| LLz<sup>8</sup>4
|
|
| {{monzo| -35 8 0 8 }}
| {{monzo| -35 8 0 8 }}
Line 311: Line 318:
| hendecatone comma, 11-7-comma
| hendecatone comma, 11-7-comma
| Sasa-leru
| Sasa-leru
|ssr<sup>11</sup>-4
| ssr<sup>11</sup>-4
|
|
| {{monzo| 31 0 0 -11 }}
| {{monzo| 31 0 0 -11 }}
Line 339: Line 346:
| 13-21-comma
| 13-21-comma
| Quadla-thezobi
| Quadla-thezobi
|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 }}
Line 346: Line 353:
| major diatonic semitone
| major diatonic semitone
| Ruyo
| Ruyo
|ry1
| ry1
|15/14
| [[15/14|15 / 14]]
| {{monzo| -1 1 1 -1 }}
| {{monzo| -1 1 1 -1 }}
| 119.443
| 119.443
Line 360: Line 367:
| 7-35-comma
| 7-35-comma
| Sasa-seprugu
| Sasa-seprugu
|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 }}
Line 392: Line 399:
| 4/5-tone, Ptolemy's second
| 4/5-tone, Ptolemy's second
| Logu
| Logu
|1og2
| 1og2
|11/10
| [[11/10|11 / 10]]
| {{monzo| -1 0 -1 0 1 }}
| {{monzo| -1 0 -1 0 1 }}
| 165.004
| 165.004
Line 399: Line 406:
| 11-enipucrop, 9-11-comma
| 11-enipucrop, 9-11-comma
| Latritrilo
| Latritrilo
|L1o<sup>9</sup>-2
| L1o<sup>9</sup>-2
|
| 2357947691 / 2147483648
| {{monzo| -31 0 0 0 9 }}
| {{monzo| -31 0 0 0 9 }}
| 161.862
| 161.862
Line 406: Line 413:
| 3/4-tone, undecimal neutral second
| 3/4-tone, undecimal neutral second
| Lu
| Lu
|1u2
| 1u2
|12/11
| [[12/11|12 / 11]]
| {{monzo| 2 1 0 0 -1 }}
| {{monzo| 2 1 0 0 -1 }}
| 150.637
| 150.637
|-
| secor
| Lozo
| 1oz2
| [[77/72|77 / 72]]
| {{monzo| -3 -2 0 1 1 }}
| 116.234
|}
|}


Line 418: Line 432:
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Ratio
! Monzo
! Monzo
! Cents
! Cents
Line 429: Line 443:
| 147.966
| 147.966
|-
|-
| tridecimal 2/3-tone
| large tridecimal 2/3-tone, tridecimal neutral second
| Tho
| Tho
|3o2
| 3o2
|13/12
| [[13/12|13 / 12]]
| {{monzo| -2 -1 0 0 0 1 }}
| {{monzo| -2 -1 0 0 0 1 }}
| 138.573
| 138.573
|-
|-
| 2/3-tone
| 2/3-tone, tridecimal limma, trienthird
| Thuzo
| Thuzo
|3uz2
| 3uz2
|14/13
| [[14/13|14 / 13]]
| {{monzo| 1 0 0 1 0 -1 }}
| {{monzo| 1 0 0 1 0 -1 }}
| 128.298
| 128.298
Line 445: Line 459:
| heptasixth comma, 13-cycle secor
| heptasixth comma, 13-cycle secor
| Sasepthu
| Sasepthu
|s3u<sup>7</sup>1
| s3u<sup>7</sup>1
|
| 67108864 / 62748517
| {{monzo| 26 0 0 0 0 -7 }}
| {{monzo| 26 0 0 0 0 -7 }}
| 116.306
| 116.306
Line 452: Line 466:
| heptadecasixth comma, neutral thirteenth comma
| heptadecasixth comma, neutral thirteenth comma
| Sasa-sethubi
| Sasa-sethubi
|ss3u<sup>7</sup>-2
| ss3u<sup>7</sup>-2
|
|
| {{monzo| 63 0 0 0 0 -17 }}
| {{monzo| 63 0 0 0 0 -17 }}
Line 468: Line 482:
! Cents
! Cents
|-
|-
|17-limit rational eventone
| 17-limit rational eventone
|Sogubi
| Sogubi
|17og3
| 17og3
|17/15
| 17/15
|<nowiki>| 0 -1 -1 0 0 0 1 ></nowiki>
| {{monzo| 0 -1 -1 0 0 0 1 }}
|216.687
| 216.687
|-
|-
| 17th harmonic
| 17th harmonic
| Iso
| Iso
|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

Revision as of 21:56, 6 June 2021

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 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
delorean Tribigu g63 17496 / 15625 [3 7 -6⟩ 195.803
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 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 [-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 [-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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