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Large comma: Difference between revisions

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Spt3125 (talk | contribs)
autopatrolled, Sysops
523 edits
m error corrections; move 77-comma
TallKite (talk | contribs)
autopatrolled, Sysops
3,990 edits
added color names, also made the format consistent with the other two comma pages.
Line 1: Line 1:
Lists of commas over 100 cents in size.
Lists of commas over 100 cents in size. For commas under 100 cents, see [[Comma]]. For commas under 3.5 cents, see [[Unnoticeable comma]].
 
See also:
* [[Comma]]
* [[Unnoticeable comma]]
 


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"
|-
|-
! name(s)
! Name(s)
! ratio
![[Color notation|Color Name]]
! monzo
! Ratio
! cents
! Monzo
! Cents
|-
|-
| whole tone
| whole tone
|wa 2nd
| [[9/8|9 / 8]]
| [[9/8|9 / 8]]
| {{Monzo| -3 2 }}
| {{Monzo| -3 2 }}
Line 21: Line 19:
|-
|-
| apotome
| apotome
|large wa unison
| [[2187/2048|2187 / 2048]]
| [[2187/2048|2187 / 2048]]
| {{Monzo| -11 7 }}
| {{Monzo| -11 7 }}
Line 26: Line 25:
|-
|-
| 19-comma
| 19-comma
|wa-19 comma
| 1162261467 / 1073741824
| 1162261467 / 1073741824
| {{Monzo| -30 19 }}
| {{Monzo| -30 19 }}
Line 31: Line 31:
|-
|-
| 22-comma
| 22-comma
|wa-22 comma
| 34359738368 / 31381059609
| 34359738368 / 31381059609
| {{Monzo| 35 -22 }}
| {{Monzo| 35 -22 }}
Line 36: Line 37:
|-
|-
| [[31_comma_temperaments|31-comma]]
| [[31_comma_temperaments|31-comma]]
|wa-31 comma
| 617673396283947 / 562949953421312
| 617673396283947 / 562949953421312
| {{Monzo| -49 31 }}
| {{Monzo| -49 31 }}
Line 41: Line 43:
|-
|-
| 43-comma
| 43-comma
|wa-43 comma
|  
|  
| {{Monzo| -68 43 }}
| {{Monzo| -68 43 }}
Line 46: Line 49:
|-
|-
| 46-comma
| 46-comma
|wa-46 comma
|  
|  
| {{Monzo| 73 -46 }}
| {{Monzo| 73 -46 }}
Line 51: Line 55:
|-
|-
| 63-comma
| 63-comma
|wa-63 comma
|  
|  
| {{Monzo| 100 -63 }}
| {{Monzo| 100 -63 }}
Line 60: Line 65:
{| class="wikitable"
{| class="wikitable"
|-
|-
! name(s)
! Name(s)
! ratio
![[Color notation|Color Name]]
! monzo
! Ratio
! cents
! Monzo
! Cents
|-
|-
| minor whole tone
| minor whole tone, yo 2nd
|yo
| 10 / 9
| 10 / 9
| {{Monzo| 1 -2 1 }}
| {{Monzo| 1 -2 1 }}
Line 71: Line 78:
|-
|-
| 5-cycle major second, hexadecathird comma
| 5-cycle major second, hexadecathird comma
|
| 152587890625 / 137438953472
| 152587890625 / 137438953472
| {{Monzo| -37 0 16 }}
| {{Monzo| -37 0 16 }}
Line 76: Line 84:
|-
|-
| acute limma
| acute limma
|
| 19073486328125 / 17592186044416
| 19073486328125 / 17592186044416
| {{Monzo| -44 0 19 }}
| {{Monzo| -44 0 19 }}
Line 81: Line 90:
|-
|-
| <strike>meantone Integer cents comma</strike>
| <strike>meantone Integer cents comma</strike>
|
|  
|  
| {{Monzo| -1393 0 600 }}
| {{Monzo| -1393 0 600 }}
Line 86: Line 96:
|-
|-
| 31-15-comma
| 31-15-comma
|
|  
|  
| {{Monzo| -121 31 31 }}
| {{Monzo| -121 31 31 }}
Line 91: Line 102:
|-
|-
| 87-15-comma
| 87-15-comma
|
|  
|  
| {{Monzo| 340 -87 -87 }}
| {{Monzo| 340 -87 -87 }}
Line 96: Line 108:
|-
|-
| enipucrop
| enipucrop
|latriyo-one
| 1125 / 1024
| 1125 / 1024
| {{Monzo| -10 2 3 }}
| {{Monzo| -10 2 3 }}
Line 101: Line 114:
|-
|-
| supersharp
| supersharp
|sayoyo
| 800 / 729
| 800 / 729
| {{Monzo| 5 -6 2 }}
| {{Monzo| 5 -6 2 }}
Line 106: Line 120:
|-
|-
| gorgo
| gorgo
|lagugu
| 2187 / 2000
| 2187 / 2000
| {{Monzo| -4 7 -3 }}
| {{Monzo| -4 7 -3 }}
Line 111: Line 126:
|-
|-
| large limma
| large limma
|gugu
| [[27/25|27 / 25]]
| [[27/25|27 / 25]]
| {{Monzo| 0 3 -2 }}
| {{Monzo| 0 3 -2 }}
Line 116: Line 132:
|-
|-
| lemba
| lemba
|latribiyo
| 140625 / 131072
| 140625 / 131072
| {{Monzo| -17 2 6 }}
| {{Monzo| -17 2 6 }}
Line 121: Line 138:
|-
|-
| sixix
| sixix
|quinyo
| 3125 / 2916
| 3125 / 2916
| {{Monzo| -2 -6 5 }}
| {{Monzo| -2 -6 5 }}
Line 126: Line 144:
|-
|-
| diesma
| diesma
|lathegu
| 10460353203 / 9765625000
| 10460353203 / 9765625000
| {{Monzo| -3 21 -13 }}
| {{Monzo| -3 21 -13 }}
Line 131: Line 150:
|-
|-
| comic
| comic
|saquadyo-two
| 5120000 / 4782969
| 5120000 / 4782969
| {{Monzo| 13 -14 4 }}
| {{Monzo| 13 -14 4 }}
Line 136: Line 156:
|-
|-
| just diatonic semitone
| just diatonic semitone
|gu-two
| [[16/15|16 / 15]]
| [[16/15|16 / 15]]
| {{Monzo| 4 -1 -1 }}
| {{Monzo| 4 -1 -1 }}
Line 141: Line 162:
|-
|-
| beatles
| beatles
|sasagugu
| 524288 / 492075
| 524288 / 492075
| {{Monzo| 19 -9 -2 }}
| {{Monzo| 19 -9 -2 }}
Line 146: Line 168:
|-
|-
| wronecki
| wronecki
|latribigu
| 531441 / 500000
| 531441 / 500000
| {{Monzo| -5 12 -6 }}
| {{Monzo| -5 12 -6 }}
Line 151: Line 174:
|-
|-
| wesley
| wesley
|lasepyo-
negative-two
| 78125 / 73728
| 78125 / 73728
| {{Monzo| -13 -2 7 }}
| {{Monzo| -13 -2 7 }}
Line 156: Line 181:
|-
|-
| 11-3/5-comma
| 11-3/5-comma
|leyo
| 48828125 / 45349632
| 48828125 / 45349632
| {{Monzo| -8 -11 11 }}
| {{Monzo| -8 -11 11 }}
Line 161: Line 187:
|-
|-
| 27-3/5-comma
| 27-3/5-comma
|
|  
|  
| {{Monzo| 20 27 -27 }}
| {{Monzo| 20 27 -27 }}
Line 166: Line 193:
|-
|-
| 31-3/5-comma
| 31-3/5-comma
|
|  
|  
| {{Monzo| 23 31 -31 }}
| {{Monzo| 23 31 -31 }}
Line 171: Line 199:
|-
|-
| 300-3/5-comma
| 300-3/5-comma
|
|  
|  
| {{Monzo| -221 -300 300 }}
| {{Monzo| -221 -300 300 }}
Line 180: Line 209:
{| class="wikitable"
{| class="wikitable"
|-
|-
! name(s)
! Name(s)
! monzo
![[Color notation|Color Name]]
! cents
! Monzo
! Cents
|-
|-
| major diatonic semitone, 15/14
| major diatonic semitone, 15/14
|ruyo
| {{Monzo| -1 1 1 -1 }}
| {{Monzo| -1 1 1 -1 }}
| 119.443
| 119.443
|-
|-
| hexatone comma, 6-7-comma
| hexatone comma, 6-7-comma
|satribiru
| {{Monzo| 17 0 0 -6 }}
| {{Monzo| 17 0 0 -6 }}
| 187.045
| 187.045
|-
|-
| hendecatone comma, 11-7-comma
| hendecatone comma, 11-7-comma
|saleru
| {{Monzo| 31 0 0 -11 }}
| {{Monzo| 31 0 0 -11 }}
| 142.915
| 142.915
|-
|-
| 41-7-comma
| 41-7-comma
|
| {{Monzo| -115 0 0 41 }}
| {{Monzo| -115 0 0 41 }}
| 121.862
| 121.862
|-
|-
| 46-7-comma
| 46-7-comma
|
| {{Monzo| -129 0 0 46 }}
| {{Monzo| -129 0 0 46 }}
| 165.992
| 165.992
|-
|-
| 25-7/5-comma
| 25-7/5-comma
|
| {{Monzo| -12 0 -25 25 }}
| {{Monzo| -12 0 -25 25 }}
| 162.805
| 162.805
|-
|-
| 27-7/5-comma
| 27-7/5-comma
|
| {{Monzo| -13 0 -27 27 }}
| {{Monzo| -13 0 -27 27 }}
| 127.829
| 127.829
|-
|-
| 41-7/5-comma
| 41-7/5-comma
|
| {{Monzo| 20 0 41 -41 }}
| {{Monzo| 20 0 41 -41 }}
| 117.000
| 117.000
|-
|-
| 43-7/5-comma
| 43-7/5-comma
|
| {{Monzo| 21 0 43 -43 }}
| {{Monzo| 21 0 43 -43 }}
| 151.976
| 151.976
|-
|-
| 45-7/5-comma
| 45-7/5-comma
|
| {{Monzo| 22 0 45 -45 }}
| {{Monzo| 22 0 45 -45 }}
| 186.951
| 186.951
|-
|-
| 8-21-comma
| 8-21-comma
|lala-quadbizo
| {{Monzo| -35 8 0 8 }}
| {{Monzo| -35 8 0 8 }}
| 166.247
| 166.247
|-
|-
| 13-21-comma
| 13-21-comma
|quadla-thezo-five
| {{Monzo| -57 13 0 13 }}
| {{Monzo| -57 13 0 13 }}
| 120.152
| 120.152
|-
|-
| 38-21-comma
| 38-21-comma
|
| {{Monzo| 167 -38 0 -38 }}
| {{Monzo| 167 -38 0 -38 }}
| 110.326
| 110.326
|-
|-
| 43-21-comma
| 43-21-comma
|
| {{Monzo| 189 -43 0 -43 }}
| {{Monzo| 189 -43 0 -43 }}
| 156.421
| 156.421
|-
|-
| 7-35-comma
| 7-35-comma
|sasasepru
| {{Monzo| 36 0 -7 -7 }}
| {{Monzo| 36 0 -7 -7 }}
| 114.023
| 114.023
|-
|-
| 55-35-comma
| 55-35-comma
|
| {{Monzo| -282 0 55 55 }}
| {{Monzo| -282 0 55 55 }}
| 132.679
| 132.679
|-
|-
| 63-35-comma
| 63-35-comma
|
| {{Monzo| -323 0 63 63 }}
| {{Monzo| -323 0 63 63 }}
| 173.796
| 173.796
Line 257: Line 304:
{| class="wikitable"
{| class="wikitable"
|-
|-
! name(s)
! Name(s)
! monzo
![[Color notation|Color Name]]
! cents
! Monzo
! Cents
|-
|-
| 12/11, 3/4-tone, undecimal neutral second
| 12/11, 3/4-tone, undecimal neutral second
|lu
| {{Monzo| 2 1 0 0 -1 }}
| {{Monzo| 2 1 0 0 -1 }}
| 150.637
| 150.637
|-
|-
| 11/10, 4/5-tone, Ptolemy's second
| 11/10, 4/5-tone, Ptolemy's second
|logu
| {{Monzo| -1 0 -1 0 1 }}
| {{Monzo| -1 0 -1 0 1 }}
| 165.004
| 165.004
|-
|-
| 11-enipucrop, 9-11-comma
| 11-enipucrop, 9-11-comma
|latritrilo
| {{Monzo| -31 0 0 0 9 }}
| {{Monzo| -31 0 0 0 9 }}
| 161.862
| 161.862
|-
|-
| 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
Line 282: Line 334:
{| class="wikitable"
{| class="wikitable"
|-
|-
! name(s)
! Name(s)
! monzo
![[Color notation|Color Name]]
! cents
! Monzo
! Cents
|-
|-
| 14/13, 2/3-tone
| 14/13, 2/3-tone
|thuzo
| {{Monzo| 1 0 0 1 0 -1 }}
| {{Monzo| 1 0 0 1 0 -1 }}
| 128.298
| 128.298
|-
|-
| 13/12, tridecimal 2/3-tone
| 13/12, tridecimal 2/3-tone
|tho
| {{Monzo| -2 -1 0 0 0 1 }}
| {{Monzo| -2 -1 0 0 0 1 }}
| 138.573
| 138.573
|-
|-
| heptasixth comma, 13-cycle secor
| heptasixth comma, 13-cycle secor
|sasepthu
| {{Monzo| 26 0 0 0 0 -7 }}
| {{Monzo| 26 0 0 0 0 -7 }}
| 116.306
| 116.306
|-
|-
| heptadecasixth comma, neutral thirteenth comma
| heptadecasixth comma, neutral thirteenth comma
|sasa-sethu
| {{Monzo| 63 0 0 0 0 -17 }}
| {{Monzo| 63 0 0 0 0 -17 }}
| 111.030
| 111.030
|-
|-
| 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
Line 311: Line 369:
{| class="wikitable"
{| class="wikitable"
|-
|-
! name(s)
! Name(s)
! monzo
![[Color notation|Color Name]]
! cents
! Monzo
! Cents
|-
|-
| 17/16, 17th harmonic
| 17/16, 17th harmonic
|iso
| {{Monzo| -4 0 0 0 0 0 1 }}
| {{Monzo| -4 0 0 0 0 0 1 }}
| 104.955
| 104.955
Line 324: Line 384:
{| class="wikitable"
{| class="wikitable"
|-
|-
! name(s)
! Name(s)
! monzo
! Monzo
! cents
! Cents
|-
|-
| 19-cycle meantone prima
| 19-cycle meantone prima
Retrieved from "https://en.xen.wiki/w/Large_comma"