Large comma: Difference between revisions

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TallKite (talk | contribs)
autopatrolled, Sysops
4,196 edits
Corrected Zu to Ru, also other minor corrections, added columns for the short color name and for the ratio
Line 7: Line 7:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 14: Line 14:
| whole tone
| whole tone
| wa 2nd
| wa 2nd
|w2
| [[9/8|9 / 8]]
| [[9/8|9 / 8]]
| {{Monzo| -3 2 }}
| {{Monzo| -3 2 }}
Line 20: Line 21:
| 43-comma
| 43-comma
| wa-43 comma
| wa-43 comma
|w-43
|  
|  
| {{Monzo| -68 43 }}
| {{Monzo| -68 43 }}
Line 26: Line 28:
| 63-comma
| 63-comma
| wa-63 comma
| wa-63 comma
|w-63
|  
|  
| {{Monzo| 100 -63 }}
| {{Monzo| 100 -63 }}
Line 32: Line 35:
| [[31_comma_temperaments|31-comma]]
| [[31_comma_temperaments|31-comma]]
| wa-31 comma
| wa-31 comma
|w-31
| 617673396283947 / 562949953421312
| 617673396283947 / 562949953421312
| {{Monzo| -49 31 }}
| {{Monzo| -49 31 }}
Line 38: Line 42:
| 22-comma
| 22-comma
| wa-22 comma
| wa-22 comma
|w-22
| 34359738368 / 31381059609
| 34359738368 / 31381059609
| {{Monzo| 35 -22 }}
| {{Monzo| 35 -22 }}
Line 44: Line 49:
| 19-comma
| 19-comma
| wa-19 comma
| wa-19 comma
|w-19
| 1162261467 / 1073741824
| 1162261467 / 1073741824
| {{Monzo| -30 19 }}
| {{Monzo| -30 19 }}
Line 50: Line 56:
| apotome
| apotome
| large wa unison
| large wa unison
|Lw1
| [[2187/2048|2187 / 2048]]
| [[2187/2048|2187 / 2048]]
| {{Monzo| -11 7 }}
| {{Monzo| -11 7 }}
Line 56: Line 63:
| 46-comma
| 46-comma
| wa-46 comma
| wa-46 comma
|w-46
|  
|  
| {{Monzo| 73 -46 }}
| {{Monzo| 73 -46 }}
Line 66: Line 74:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
! Ratio
! Ratio
! Monzo
! Monzo
Line 72: Line 80:
|-
|-
| <strike>meantone Integer cents comma</strike>
| <strike>meantone Integer cents comma</strike>
|
|
|
|
|
Line 78: Line 87:
|-
|-
| 31-3/5-comma
| 31-3/5-comma
|
|
|
|  
|  
Line 85: Line 95:
| minor whole tone, yo 2nd
| minor whole tone, yo 2nd
| Yo
| Yo
|y2
| [[10/9|10 / 9]]
| [[10/9|10 / 9]]
| {{Monzo| 1 -2 1 }}
| {{Monzo| 1 -2 1 }}
Line 90: Line 101:
|-
|-
| 5-cycle major second, hexadecathird comma
| 5-cycle major second, hexadecathird comma
|
|
|
| 152587890625 / 137438953472
| 152587890625 / 137438953472
Line 97: Line 109:
| enipucrop
| enipucrop
| Latriyobi
| Latriyobi
|Ly<sup>3</sup>1
| 1125 / 1024
| 1125 / 1024
| {{Monzo| -10 2 3 }}
| {{Monzo| -10 2 3 }}
Line 103: Line 116:
| supersharp
| supersharp
| Sayoyo
| Sayoyo
|syy2
| 800 / 729
| 800 / 729
| {{Monzo| 5 -6 2 }}
| {{Monzo| 5 -6 2 }}
Line 109: Line 123:
| gorgo, laconic
| gorgo, laconic
| Latrigubi
| Latrigubi
|Lg<sup>3</sup>2
| 2187 / 2000
| 2187 / 2000
| {{Monzo| -4 7 -3 }}
| {{Monzo| -4 7 -3 }}
Line 114: Line 129:
|-
|-
| acute limma
| acute limma
|
|
|
| 19073486328125 / 17592186044416
| 19073486328125 / 17592186044416
Line 120: Line 136:
|-
|-
| 31-15-comma
| 31-15-comma
|
|
|
|  
|  
Line 127: Line 144:
| large limma
| large limma
| Gugu
| Gugu
|gg2
| [[27/25|27 / 25]]
| [[27/25|27 / 25]]
| {{Monzo| 0 3 -2 }}
| {{Monzo| 0 3 -2 }}
Line 133: Line 151:
| 11-3/5-comma
| 11-3/5-comma
| Leyo
| Leyo
|y<sup>11</sup>-2
| 48828125 / 45349632
| 48828125 / 45349632
| {{Monzo| -8 -11 11 }}
| {{Monzo| -8 -11 11 }}
Line 138: Line 157:
|-
|-
| 27-3/5-comma
| 27-3/5-comma
|
|
|
|  
|  
Line 145: Line 165:
| lemba
| lemba
| Latribiyo
| Latribiyo
|Ly<sup>6</sup>-2
| 140625 / 131072
| 140625 / 131072
| {{Monzo| -17 2 6 }}
| {{Monzo| -17 2 6 }}
Line 150: Line 171:
|-
|-
| 87-15-comma
| 87-15-comma
|
|
|
|  
|  
Line 157: Line 179:
| sixix
| sixix
| Quinyo
| Quinyo
|y<sup>5</sup>1
| 3125 / 2916
| 3125 / 2916
| {{Monzo| -2 -6 5 }}
| {{Monzo| -2 -6 5 }}
Line 163: Line 186:
| diesma
| diesma
| Lathegu
| Lathegu
|Lg<sup>13</sup>3
| 10460353203 / 9765625000
| 10460353203 / 9765625000
| {{Monzo| -3 21 -13 }}
| {{Monzo| -3 21 -13 }}
Line 169: Line 193:
| comic
| comic
| Saquadyobi
| Saquadyobi
|sy<sup>4</sup>2
| 5120000 / 4782969
| 5120000 / 4782969
| {{Monzo| 13 -14 4 }}
| {{Monzo| 13 -14 4 }}
Line 175: Line 200:
| just diatonic semitone
| just diatonic semitone
| Gubi
| Gubi
|g2
| [[16/15|16 / 15]]
| [[16/15|16 / 15]]
| {{Monzo| 4 -1 -1 }}
| {{Monzo| 4 -1 -1 }}
Line 180: Line 206:
|-
|-
| beatles
| beatles
| Sasagugu
| Sasa-gugu
|ssgg3
| 524288 / 492075
| 524288 / 492075
| {{Monzo| 19 -9 -2 }}
| {{Monzo| 19 -9 -2 }}
Line 186: Line 213:
|-
|-
| 300-3/5-comma
| 300-3/5-comma
|
|
|
|  
|  
Line 193: Line 221:
| wronecki
| wronecki
| Latribigu
| Latribigu
|Lg<sup>6</sup>2
| 531441 / 500000
| 531441 / 500000
| {{Monzo| -5 12 -6 }}
| {{Monzo| -5 12 -6 }}
Line 199: Line 228:
| wesley
| wesley
| Lasepyobi
| Lasepyobi
|Ly<sup>7</sup>-2
| 78125 / 73728
| 78125 / 73728
| {{Monzo| -13 -2 7 }}
| {{Monzo| -13 -2 7 }}
Line 209: Line 239:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
|-
|augmented whole-tone, zu 2nd
|augmented whole-tone, ru 2nd
|Zu
|Ru
|r2
|8/7
|<nowiki>| 3 0 0 -1 ></nowiki>
|<nowiki>| 3 0 0 -1 ></nowiki>
|231.174
|231.174
Line 220: Line 253:
| hexatone comma, 6-7-comma
| hexatone comma, 6-7-comma
| Satribiru
| Satribiru
|sr<sup>6</sup>-2
|
| {{Monzo| 17 0 0 -6 }}
| {{Monzo| 17 0 0 -6 }}
| 187.045
| 187.045
|-
|-
| 45-7/5-comma
| 45-7/5-comma
|
|
|
|
| {{Monzo| 22 0 45 -45 }}
| {{Monzo| 22 0 45 -45 }}
Line 229: Line 266:
|-
|-
| 63-35-comma
| 63-35-comma
|
|
|
|
| {{Monzo| -323 0 63 63 }}
| {{Monzo| -323 0 63 63 }}
Line 235: Line 274:
| 8-21-comma
| 8-21-comma
| Lala-quadbizo
| Lala-quadbizo
|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
|
|
|
|
| {{Monzo| -129 0 0 46 }}
| {{Monzo| -129 0 0 46 }}
Line 244: Line 287:
|-
|-
| 25-7/5-comma
| 25-7/5-comma
|
|
|
|
| {{Monzo| -12 0 -25 25 }}
| {{Monzo| -12 0 -25 25 }}
Line 249: Line 294:
|-
|-
| 43-21-comma
| 43-21-comma
|
|
|
|
| {{Monzo| 189 -43 0 -43 }}
| {{Monzo| 189 -43 0 -43 }}
Line 254: Line 301:
|-
|-
| 43-7/5-comma
| 43-7/5-comma
|
|
|
|
| {{Monzo| 21 0 43 -43 }}
| {{Monzo| 21 0 43 -43 }}
Line 259: Line 308:
|-
|-
| hendecatone comma, 11-7-comma
| hendecatone comma, 11-7-comma
| Saleru
| Sasa-leru
|ssr<sup>11</sup>-4
|
| {{Monzo| 31 0 0 -11 }}
| {{Monzo| 31 0 0 -11 }}
| 142.915
| 142.915
|-
|-
| 55-35-comma
| 55-35-comma
|
|
|
|
| {{Monzo| -282 0 55 55 }}
| {{Monzo| -282 0 55 55 }}
Line 269: Line 322:
|-
|-
| 27-7/5-comma
| 27-7/5-comma
|
|
|
|
| {{Monzo| -13 0 -27 27 }}
| {{Monzo| -13 0 -27 27 }}
Line 274: Line 329:
|-
|-
| 41-7-comma
| 41-7-comma
|
|
|
|
| {{Monzo| -115 0 0 41 }}
| {{Monzo| -115 0 0 41 }}
Line 280: Line 337:
| 13-21-comma
| 13-21-comma
| Quadla-thezobi
| Quadla-thezobi
|L<sup>4</sup>z<sup>13</sup>5
|
| {{Monzo| -57 13 0 13 }}
| {{Monzo| -57 13 0 13 }}
| 120.152
| 120.152
|-
|-
| major diatonic semitone, 15/14
| major diatonic semitone
| Ruyo
| Ruyo
|ry1
|15/14
| {{Monzo| -1 1 1 -1 }}
| {{Monzo| -1 1 1 -1 }}
| 119.443
| 119.443
|-
|-
| 41-7/5-comma
| 41-7/5-comma
|
|
|
|
| {{Monzo| 20 0 41 -41 }}
| {{Monzo| 20 0 41 -41 }}
Line 294: Line 357:
|-
|-
| 7-35-comma
| 7-35-comma
| Sasasepru
| Sasa-seprugu
|ssr<sup>7</sup>g<sup>7</sup>1
|
| {{Monzo| 36 0 -7 -7 }}
| {{Monzo| 36 0 -7 -7 }}
| 114.023
| 114.023
|-
|-
| 38-21-comma
| 38-21-comma
|
|
|
|
| {{Monzo| 167 -38 0 -38 }}
| {{Monzo| 167 -38 0 -38 }}
Line 309: Line 376:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
|-
| 11-cycle major second prote, 33-11-comma
| 11-cycle major second prote, 33-11-comma
|
|
|
|
| {{Monzo| -114 0 0 0 33 }}
| {{Monzo| -114 0 0 0 33 }}
| 193.492
| 193.492
|-
|-
| 11/10, 4/5-tone, Ptolemy's second
| 4/5-tone, Ptolemy's second
| Logu
| Logu
|1og2
|11/10
| {{Monzo| -1 0 -1 0 1 }}
| {{Monzo| -1 0 -1 0 1 }}
| 165.004
| 165.004
Line 325: Line 397:
| 11-enipucrop, 9-11-comma
| 11-enipucrop, 9-11-comma
| Latritrilo
| Latritrilo
|L1o<sup>9</sup>-2
|
| {{Monzo| -31 0 0 0 9 }}
| {{Monzo| -31 0 0 0 9 }}
| 161.862
| 161.862
|-
|-
| 12/11, 3/4-tone, undecimal neutral second
| 3/4-tone, undecimal neutral second
| Lu
| Lu
|1u2
|12/11
| {{Monzo| 2 1 0 0 -1 }}
| {{Monzo| 2 1 0 0 -1 }}
| 150.637
| 150.637
Line 339: Line 415:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
|-
| 13-cycle neutral second
| 13-cycle neutral second
|
|
|
|
| {{Monzo| -196 0 0 0 0 53 }}
| {{Monzo| -196 0 0 0 0 53 }}
| 147.966
| 147.966
|-
|-
| 13/12, tridecimal 2/3-tone
| tridecimal 2/3-tone
| Tho
| Tho
|3o2
|13/12
| {{Monzo| -2 -1 0 0 0 1 }}
| {{Monzo| -2 -1 0 0 0 1 }}
| 138.573
| 138.573
|-
|-
| 14/13, 2/3-tone
| 2/3-tone
| Thuzo
| Thuzo
|3uz2
|14/13
| {{Monzo| 1 0 0 1 0 -1 }}
| {{Monzo| 1 0 0 1 0 -1 }}
| 128.298
| 128.298
Line 360: Line 443:
| heptasixth comma, 13-cycle secor
| heptasixth comma, 13-cycle secor
| Sasepthu
| Sasepthu
|s3u<sup>7</sup>1
|
| {{Monzo| 26 0 0 0 0 -7 }}
| {{Monzo| 26 0 0 0 0 -7 }}
| 116.306
| 116.306
Line 365: Line 450:
| heptadecasixth comma, neutral thirteenth comma
| heptadecasixth comma, neutral thirteenth comma
| Sasa-sethubi
| Sasa-sethubi
|ss3u<sup>7</sup>-2
|
| {{Monzo| 63 0 0 0 0 -17 }}
| {{Monzo| 63 0 0 0 0 -17 }}
| 111.030
| 111.030
Line 374: Line 461:
|-
|-
! Name(s)
! Name(s)
![[Color notation|Color Name]]
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
|-
|17-limit rational eventone
|17-limit rational eventone
|
|Sogubi
|17og3
|17/15
|<nowiki>| 0 -1 -1 0 0 0 1 ></nowiki>
|<nowiki>| 0 -1 -1 0 0 0 1 ></nowiki>
|216.687
|216.687
|-
|-
| 17/16, 17th harmonic
| 17th harmonic
| Iso
| Iso
|17o2
|17/16
| {{Monzo| -4 0 0 0 0 0 1 }}
| {{Monzo| -4 0 0 0 0 0 1 }}
| 104.955
| 104.955
Line 394: Line 486:
|-
|-
! Name(s)
! Name(s)
! colspan="2" |[[Color notation|Color Name]]
!Ratio
! Monzo
! Monzo
! Cents
! Cents
|-
|-
| 19-cycle meantone prima
| 19-cycle meantone prima
|
|
|
| {{Monzo| -174 0 0 0 0 0 0 41 }}
| {{Monzo| -174 0 0 0 0 0 0 41 }}
| 198.034
| 198.034
|-
|-
|19-limit rational meantone
|19-limit rational meantone
|Nosu
|19o17u
|19/17
|<nowiki>| 0 0 0 0 0 0 -1 1 ></nowiki>
|<nowiki>| 0 0 0 0 0 0 -1 1 ></nowiki>
|192.558
|192.558
|-
|-
| 19-cycle meantone secunda
| 19-cycle meantone secunda
|
|
|
| {{Monzo| -191 0 0 0 0 0 0 45 }}
| {{Monzo| -191 0 0 0 0 0 0 45 }}
| 188.086
| 188.086
|-
|-
| 19-cycle minor tone
| 19-cycle minor tone
|
|
|
| {{Monzo| -208 0 0 0 0 0 0 49 }}
| {{Monzo| -208 0 0 0 0 0 0 49 }}
| 178.138
| 178.138
|-
|-
| 19-cycle submajor second
| 19-cycle submajor second
|
|
|
| {{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 21:14, 22 April 2020

Lists of commas over 100 cents in size. For commas under 100 cents, see Medium commas for commas in between 30 and 100 cents or 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-cycle submajor second [-225 0 0 0 0 0 0 53⟩ 168.190
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