Large comma: Difference between revisions

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capitalized the color names
Line 16: Line 16:
| [[9/8|9 / 8]]
| [[9/8|9 / 8]]
| {{Monzo| -3 2 }}
| {{Monzo| -3 2 }}
| 203.910
| 203.91
|-
|-
| apotome
| 43-comma
| large wa unison
| wa-43 comma
| [[2187/2048|2187 / 2048]]
|
| {{Monzo| -11 7 }}
| {{Monzo| -68 43 }}
| 113.685
| 184.065
|-
| 63-comma
| wa-63 comma
|  
| {{Monzo| 100 -63 }}
| 176.835
|-
|-
| 19-comma
| [[31_comma_temperaments|31-comma]]
| wa-19 comma
| wa-31 comma
| 1162261467 / 1073741824
| 617673396283947 / 562949953421312
| {{Monzo| -30 19 }}
| {{Monzo| -49 31 }}
| 137.145
| 160.605
|-
|-
| 22-comma
| 22-comma
Line 34: Line 40:
| 34359738368 / 31381059609
| 34359738368 / 31381059609
| {{Monzo| 35 -22 }}
| {{Monzo| 35 -22 }}
| 156.990
| 156.99
|-
|-
| [[31_comma_temperaments|31-comma]]
| 19-comma
| wa-31 comma
| wa-19 comma
| 617673396283947 / 562949953421312
| 1162261467 / 1073741824
| {{Monzo| -49 31 }}
| {{Monzo| -30 19 }}
| 160.605
| 137.145
|-
|-
| 43-comma
| apotome
| wa-43 comma
| large wa unison
|  
| [[2187/2048|2187 / 2048]]
| {{Monzo| -68 43 }}
| {{Monzo| -11 7 }}
| 184.065
| 113.685
|-
|-
| 46-comma
| 46-comma
Line 52: Line 58:
|  
|  
| {{Monzo| 73 -46 }}
| {{Monzo| 73 -46 }}
| 110.070
| 110.07
|-
| 63-comma
| wa-63 comma
|
| {{Monzo| 100 -63 }}
|  176.835
|}
|}


Line 70: Line 70:
! Monzo
! Monzo
! Cents
! Cents
|-
| <strike>meantone Integer cents comma</strike>
|
|
| {{Monzo| -1393 0 600 }}
| 188.228
|-
| 31-3/5-comma
|
|
| {{Monzo| 23 31 -31 }}
| 184.88
|-
|-
| minor whole tone, yo 2nd
| minor whole tone, yo 2nd
| Yo
| Yo
| 10 / 9
| [[10/9|10 / 9]]
| {{Monzo| 1 -2 1 }}
| {{Monzo| 1 -2 1 }}
| 182.404
| 182.404
Line 82: Line 94:
| {{Monzo| -37 0 16 }}
| {{Monzo| -37 0 16 }}
| 181.019
| 181.019
|-
| acute limma
|
| 19073486328125 / 17592186044416
| {{Monzo| -44 0 19 }}
| 139.961
|-
| <strike>meantone Integer cents comma</strike>
|
|
| {{Monzo| -1393 0 600 }}
| 188.228
|-
| 31-15-comma
|
|
| {{Monzo| -121 31 31 }}
| 136.330
|-
| 87-15-comma
|
|
| {{Monzo| 340 -87 -87 }}
| 120.622
|-
|-
| enipucrop
| enipucrop
Line 124: Line 112:
| {{Monzo| -4 7 -3 }}
| {{Monzo| -4 7 -3 }}
| 154.744
| 154.744
|-
| acute limma
|
| 19073486328125 / 17592186044416
| {{Monzo| -44 0 19 }}
| 139.961
|-
| 31-15-comma
|
|
| {{Monzo| -121 31 31 }}
| 136.33
|-
|-
| large limma
| large limma
Line 130: Line 130:
| {{Monzo| 0 3 -2 }}
| {{Monzo| 0 3 -2 }}
| 133.238
| 133.238
|-
| 11-3/5-comma
| Leyo
| 48828125 / 45349632
| {{Monzo| -8 -11 11 }}
| 127.946
|-
| 27-3/5-comma
|
|
| {{Monzo| 20 27 -27 }}
| 122.315
|-
|-
| lemba
| lemba
Line 136: Line 148:
| {{Monzo| -17 2 6 }}
| {{Monzo| -17 2 6 }}
| 121.792
| 121.792
|-
| 87-15-comma
|
|
| {{Monzo| 340 -87 -87 }}
| 120.622
|-
|-
| sixix
| sixix
Line 166: Line 184:
| {{Monzo| 19 -9 -2 }}
| {{Monzo| 19 -9 -2 }}
| 109.778
| 109.778
|-
| 300-3/5-comma
|
|
| {{Monzo| -221 -300 300 }}
| 107.614
|-
|-
| wronecki
| wronecki
Line 178: Line 202:
| {{Monzo| -13 -2 7 }}
| {{Monzo| -13 -2 7 }}
| 100.286
| 100.286
|-
| 11-3/5-comma
| Leyo
| 48828125 / 45349632
| {{Monzo| -8 -11 11 }}
| 127.946
|-
| 27-3/5-comma
|
|
| {{Monzo| 20 27 -27 }}
| 122.315
|-
| 31-3/5-comma
|
|
| {{Monzo| 23 31 -31 }}
| 184.880
|-
| 300-3/5-comma
|
|
| {{Monzo| -221 -300 300 }}
| 107.614
|}
|}


Line 213: Line 213:
! Cents
! Cents
|-
|-
| major diatonic semitone, 15/14
|augmented whole-tone, zu 2nd
| Ruyo
|Zu
| {{Monzo| -1 1 1 -1 }}
|<nowiki>| 3 0 0 -1 ></nowiki>
| 119.443
|231.174
|-
|-
| hexatone comma, 6-7-comma
| hexatone comma, 6-7-comma
Line 223: Line 223:
| 187.045
| 187.045
|-
|-
| hendecatone comma, 11-7-comma
| 45-7/5-comma
| Saleru
|
| {{Monzo| 31 0 0 -11 }}
| {{Monzo| 22 0 45 -45 }}
| 142.915
| 186.951
|-
|-
| 41-7-comma
| 63-35-comma
|
|
| {{Monzo| -115 0 0 41 }}
| {{Monzo| -323 0 63 63 }}
| 121.862
| 173.796
|-
| 8-21-comma
| Lala-quadbizo
| {{Monzo| -35 8 0 8 }}
| 166.247
|-
|-
| 46-7-comma
| 46-7-comma
Line 243: Line 248:
| 162.805
| 162.805
|-
|-
| 27-7/5-comma
| 43-21-comma
|
|
| {{Monzo| -13 0 -27 27 }}
| {{Monzo| 189 -43 0 -43 }}
| 127.829
| 156.421
|-
| 41-7/5-comma
|
| {{Monzo| 20 0 41 -41 }}
| 117.000
|-
|-
| 43-7/5-comma
| 43-7/5-comma
Line 258: Line 258:
| 151.976
| 151.976
|-
|-
| 45-7/5-comma
| hendecatone comma, 11-7-comma
| Saleru
| {{Monzo| 31 0 0 -11 }}
| 142.915
|-
| 55-35-comma
|
| {{Monzo| -282 0 55 55 }}
| 132.679
|-
| 27-7/5-comma
|
|
| {{Monzo| 22 0 45 -45 }}
| {{Monzo| -13 0 -27 27 }}
| 186.951
| 127.829
|-
|-
| 8-21-comma
| 41-7-comma
| Lala-quadbizo
|
| {{Monzo| -35 8 0 8 }}
| {{Monzo| -115 0 0 41 }}
| 166.247
| 121.862
|-
|-
| 13-21-comma
| 13-21-comma
Line 273: Line 283:
| 120.152
| 120.152
|-
|-
| 38-21-comma
| major diatonic semitone, 15/14
|
| Ruyo
| {{Monzo| 167 -38 0 -38 }}
| {{Monzo| -1 1 1 -1 }}
| 110.326
| 119.443
|-
|-
| 43-21-comma
| 41-7/5-comma
|
|
| {{Monzo| 189 -43 0 -43 }}
| {{Monzo| 20 0 41 -41 }}
| 156.421
| 117
|-
|-
| 7-35-comma
| 7-35-comma
Line 288: Line 298:
| 114.023
| 114.023
|-
|-
| 55-35-comma
| 38-21-comma
|
|
| {{Monzo| -282 0 55 55 }}
| {{Monzo| 167 -38 0 -38 }}
| 132.679
| 110.326
|-
| 63-35-comma
|
| {{Monzo| -323 0 63 63 }}
| 173.796
|}
|}


Line 308: Line 313:
! Cents
! Cents
|-
|-
| 12/11, 3/4-tone, undecimal neutral second
| 11-cycle major second prote, 33-11-comma
| Lu
|
| {{Monzo| 2 1 0 0 -1 }}
| {{Monzo| -114 0 0 0 33 }}
| 150.637
| 193.492
|-
|-
| 11/10, 4/5-tone, Ptolemy's second
| 11/10, 4/5-tone, Ptolemy's second
Line 323: Line 328:
| 161.862
| 161.862
|-
|-
| 11-cycle major second prote, 33-11-comma
| 12/11, 3/4-tone, undecimal neutral second
|
| Lu
| {{Monzo| -114 0 0 0 33 }}
| {{Monzo| 2 1 0 0 -1 }}
| 193.492
| 150.637
|}
|}


Line 338: Line 343:
! Cents
! Cents
|-
|-
| 14/13, 2/3-tone
| 13-cycle neutral second
| Thuzo
|
| {{Monzo| 1 0 0 1 0 -1 }}
| {{Monzo| -196 0 0 0 0 53 }}
| 128.298
| 147.966
|-
|-
| 13/12, tridecimal 2/3-tone
| 13/12, tridecimal 2/3-tone
Line 347: Line 352:
| {{Monzo| -2 -1 0 0 0 1 }}
| {{Monzo| -2 -1 0 0 0 1 }}
| 138.573
| 138.573
|-
| 14/13, 2/3-tone
| Thuzo
| {{Monzo| 1 0 0 1 0 -1 }}
| 128.298
|-
|-
| heptasixth comma, 13-cycle secor
| heptasixth comma, 13-cycle secor
Line 357: Line 367:
| {{Monzo| 63 0 0 0 0 -17 }}
| {{Monzo| 63 0 0 0 0 -17 }}
| 111.030
| 111.030
|-
| 13-cycle neutral second
|
| {{Monzo| -196 0 0 0 0 53 }}
| 147.966
|}
|}


Line 372: Line 377:
! Monzo
! Monzo
! Cents
! Cents
|-
|17-limit rational eventone
|
|<nowiki>| 0 -1 -1 0 0 0 1 ></nowiki>
|216.687
|-
|-
| 17/16, 17th harmonic
| 17/16, 17th harmonic
Line 390: Line 400:
| {{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
|<nowiki>| 0 0 0 0 0 0 -1 1 ></nowiki>
|192.558
|-
|-
| 19-cycle meantone secunda
| 19-cycle meantone secunda

Revision as of 21:47, 9 April 2019

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 9 / 8 [-3 2⟩ 203.91
43-comma wa-43 comma [-68 43⟩ 184.065
63-comma wa-63 comma [100 -63⟩ 176.835
31-comma wa-31 comma 617673396283947 / 562949953421312 [-49 31⟩ 160.605
22-comma wa-22 comma 34359738368 / 31381059609 [35 -22⟩ 156.99
19-comma wa-19 comma 1162261467 / 1073741824 [-30 19⟩ 137.145
apotome large wa unison 2187 / 2048 [-11 7⟩ 113.685
46-comma wa-46 comma [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 10 / 9 [1 -2 1⟩ 182.404
5-cycle major second, hexadecathird comma 152587890625 / 137438953472 [-37 0 16⟩ 181.019
enipucrop Latriyobi 1125 / 1024 [-10 2 3⟩ 162.851
supersharp Sayoyo 800 / 729 [5 -6 2⟩ 160.897
gorgo, laconic Latrigubi 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 27 / 25 [0 3 -2⟩ 133.238
11-3/5-comma Leyo 48828125 / 45349632 [-8 -11 11⟩ 127.946
27-3/5-comma [20 27 -27⟩ 122.315
lemba Latribiyo 140625 / 131072 [-17 2 6⟩ 121.792
87-15-comma [340 -87 -87⟩ 120.622
sixix Quinyo 3125 / 2916 [-2 -6 5⟩ 119.839
diesma Lathegu 10460353203 / 9765625000 [-3 21 -13⟩ 118.977
comic Saquadyobi 5120000 / 4782969 [13 -14 4⟩ 117.885
just diatonic semitone Gubi 16 / 15 [4 -1 -1⟩ 111.731
beatles Sasagugu 524288 / 492075 [19 -9 -2⟩ 109.778
300-3/5-comma [-221 -300 300⟩ 107.614
wronecki Latribigu 531441 / 500000 [-5 12 -6⟩ 105.578
wesley Lasepyobi 78125 / 73728 [-13 -2 7⟩ 100.286

7-limit commas

Name(s) Color Name Monzo Cents
augmented whole-tone, zu 2nd Zu | 3 0 0 -1 > 231.174
hexatone comma, 6-7-comma Satribiru [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 [-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 Saleru [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 [-57 13 0 13⟩ 120.152
major diatonic semitone, 15/14 Ruyo [-1 1 1 -1⟩ 119.443
41-7/5-comma [20 0 41 -41⟩ 117
7-35-comma Sasasepru [36 0 -7 -7⟩ 114.023
38-21-comma [167 -38 0 -38⟩ 110.326

11-limit commas

Name(s) Color Name Monzo Cents
11-cycle major second prote, 33-11-comma [-114 0 0 0 33⟩ 193.492
11/10, 4/5-tone, Ptolemy's second Logu [-1 0 -1 0 1⟩ 165.004
11-enipucrop, 9-11-comma Latritrilo [-31 0 0 0 9⟩ 161.862
12/11, 3/4-tone, undecimal neutral second Lu [2 1 0 0 -1⟩ 150.637

13-limit commas

Name(s) Color Name Monzo Cents
13-cycle neutral second [-196 0 0 0 0 53⟩ 147.966
13/12, tridecimal 2/3-tone Tho [-2 -1 0 0 0 1⟩ 138.573
14/13, 2/3-tone Thuzo [1 0 0 1 0 -1⟩ 128.298
heptasixth comma, 13-cycle secor Sasepthu [26 0 0 0 0 -7⟩ 116.306
heptadecasixth comma, neutral thirteenth comma Sasa-sethubi [63 0 0 0 0 -17⟩ 111.030

17-limit commas

Name(s) Color Name Monzo Cents
17-limit rational eventone | 0 -1 -1 0 0 0 1 > 216.687
17/16, 17th harmonic Iso [-4 0 0 0 0 0 1⟩ 104.955

19-limit commas

Name(s) Monzo Cents
19-cycle meantone prima [-174 0 0 0 0 0 0 41⟩ 198.034
19-limit rational meantone | 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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