Large comma: Difference between revisions

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TallKite (talk | contribs)
autopatrolled, Sysops
4,196 edits
added color names, also made the format consistent with the other two comma pages.
TallKite (talk | contribs)
autopatrolled, Sysops
4,196 edits
m cleanup
Line 13: Line 13:
|-
|-
| whole tone
| whole tone
|wa 2nd
| wa 2nd
| [[9/8|9 / 8]]
| [[9/8|9 / 8]]
| {{Monzo| -3 2 }}
| {{Monzo| -3 2 }}
Line 19: Line 19:
|-
|-
| apotome
| apotome
|large wa unison
| large wa unison
| [[2187/2048|2187 / 2048]]
| [[2187/2048|2187 / 2048]]
| {{Monzo| -11 7 }}
| {{Monzo| -11 7 }}
Line 25: Line 25:
|-
|-
| 19-comma
| 19-comma
|wa-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
| wa-22 comma
| 34359738368 / 31381059609
| 34359738368 / 31381059609
| {{Monzo| 35 -22 }}
| {{Monzo| 35 -22 }}
Line 37: Line 37:
|-
|-
| [[31_comma_temperaments|31-comma]]
| [[31_comma_temperaments|31-comma]]
|wa-31 comma
| wa-31 comma
| 617673396283947 / 562949953421312
| 617673396283947 / 562949953421312
| {{Monzo| -49 31 }}
| {{Monzo| -49 31 }}
Line 43: Line 43:
|-
|-
| 43-comma
| 43-comma
|wa-43 comma
| wa-43 comma
|  
|  
| {{Monzo| -68 43 }}
| {{Monzo| -68 43 }}
Line 49: Line 49:
|-
|-
| 46-comma
| 46-comma
|wa-46 comma
| wa-46 comma
|  
|  
| {{Monzo| 73 -46 }}
| {{Monzo| 73 -46 }}
Line 55: Line 55:
|-
|-
| 63-comma
| 63-comma
|wa-63 comma
| wa-63 comma
|  
|  
| {{Monzo| 100 -63 }}
| {{Monzo| 100 -63 }}
Line 72: Line 72:
|-
|-
| minor whole tone, yo 2nd
| minor whole tone, yo 2nd
|yo
| yo
| 10 / 9
| 10 / 9
| {{Monzo| 1 -2 1 }}
| {{Monzo| 1 -2 1 }}
Line 108: Line 108:
|-
|-
| enipucrop
| enipucrop
|latriyo-one
| latriyo-one
| 1125 / 1024
| 1125 / 1024
| {{Monzo| -10 2 3 }}
| {{Monzo| -10 2 3 }}
Line 114: Line 114:
|-
|-
| supersharp
| supersharp
|sayoyo
| sayoyo
| 800 / 729
| 800 / 729
| {{Monzo| 5 -6 2 }}
| {{Monzo| 5 -6 2 }}
Line 120: Line 120:
|-
|-
| gorgo
| gorgo
|lagugu
| lagugu
| 2187 / 2000
| 2187 / 2000
| {{Monzo| -4 7 -3 }}
| {{Monzo| -4 7 -3 }}
Line 126: Line 126:
|-
|-
| large limma
| large limma
|gugu
| gugu
| [[27/25|27 / 25]]
| [[27/25|27 / 25]]
| {{Monzo| 0 3 -2 }}
| {{Monzo| 0 3 -2 }}
Line 132: Line 132:
|-
|-
| lemba
| lemba
|latribiyo
| latribiyo
| 140625 / 131072
| 140625 / 131072
| {{Monzo| -17 2 6 }}
| {{Monzo| -17 2 6 }}
Line 138: Line 138:
|-
|-
| sixix
| sixix
|quinyo
| quinyo
| 3125 / 2916
| 3125 / 2916
| {{Monzo| -2 -6 5 }}
| {{Monzo| -2 -6 5 }}
Line 144: Line 144:
|-
|-
| diesma
| diesma
|lathegu
| lathegu
| 10460353203 / 9765625000
| 10460353203 / 9765625000
| {{Monzo| -3 21 -13 }}
| {{Monzo| -3 21 -13 }}
Line 150: Line 150:
|-
|-
| comic
| comic
|saquadyo-two
| saquadyo-two
| 5120000 / 4782969
| 5120000 / 4782969
| {{Monzo| 13 -14 4 }}
| {{Monzo| 13 -14 4 }}
Line 156: Line 156:
|-
|-
| just diatonic semitone
| just diatonic semitone
|gu-two
| gu-two
| [[16/15|16 / 15]]
| [[16/15|16 / 15]]
| {{Monzo| 4 -1 -1 }}
| {{Monzo| 4 -1 -1 }}
Line 162: Line 162:
|-
|-
| beatles
| beatles
|sasagugu
| sasagugu
| 524288 / 492075
| 524288 / 492075
| {{Monzo| 19 -9 -2 }}
| {{Monzo| 19 -9 -2 }}
Line 168: Line 168:
|-
|-
| wronecki
| wronecki
|latribigu
| latribigu
| 531441 / 500000
| 531441 / 500000
| {{Monzo| -5 12 -6 }}
| {{Monzo| -5 12 -6 }}
Line 174: Line 174:
|-
|-
| wesley
| wesley
|lasepyo-
| lasepyo-<br>negative-two
negative-two
| 78125 / 73728
| 78125 / 73728
| {{Monzo| -13 -2 7 }}
| {{Monzo| -13 -2 7 }}
Line 181: Line 180:
|-
|-
| 11-3/5-comma
| 11-3/5-comma
|leyo
| leyo
| 48828125 / 45349632
| 48828125 / 45349632
| {{Monzo| -8 -11 11 }}
| {{Monzo| -8 -11 11 }}
Line 215: Line 214:
|-
|-
| major diatonic semitone, 15/14
| major diatonic semitone, 15/14
|ruyo
| 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
| 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
| saleru
| {{Monzo| 31 0 0 -11 }}
| {{Monzo| 31 0 0 -11 }}
| 142.915
| 142.915
Line 265: Line 264:
|-
|-
| 8-21-comma
| 8-21-comma
|lala-quadbizo
| 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
| quadla-thezo-five
| {{Monzo| -57 13 0 13 }}
| {{Monzo| -57 13 0 13 }}
| 120.152
| 120.152
Line 285: Line 284:
|-
|-
| 7-35-comma
| 7-35-comma
|sasasepru
| sasasepru
| {{Monzo| 36 0 -7 -7 }}
| {{Monzo| 36 0 -7 -7 }}
| 114.023
| 114.023
Line 310: Line 309:
|-
|-
| 12/11, 3/4-tone, undecimal neutral second
| 12/11, 3/4-tone, undecimal neutral second
|lu
| 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
| 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
| latritrilo
| {{Monzo| -31 0 0 0 9 }}
| {{Monzo| -31 0 0 0 9 }}
| 161.862
| 161.862
Line 340: Line 339:
|-
|-
| 14/13, 2/3-tone
| 14/13, 2/3-tone
|thuzo
| 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
| 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
| 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
| sasa-sethu
| {{Monzo| 63 0 0 0 0 -17 }}
| {{Monzo| 63 0 0 0 0 -17 }}
| 111.030
| 111.030
Line 375: Line 374:
|-
|-
| 17/16, 17th harmonic
| 17/16, 17th harmonic
|iso
| iso
| {{Monzo| -4 0 0 0 0 0 1 }}
| {{Monzo| -4 0 0 0 0 0 1 }}
| 104.955
| 104.955

Revision as of 08:20, 13 January 2019

Lists of commas over 100 cents in size. For commas under 100 cents, see Comma. 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⟩ 203.910
apotome large wa unison 2187 / 2048 [-11 7⟩ 113.685
19-comma wa-19 comma 1162261467 / 1073741824 [-30 19⟩ 137.145
22-comma wa-22 comma 34359738368 / 31381059609 [35 -22⟩ 156.990
31-comma wa-31 comma 617673396283947 / 562949953421312 [-49 31⟩ 160.605
43-comma wa-43 comma [-68 43⟩ 184.065
46-comma wa-46 comma [73 -46⟩ 110.070
63-comma wa-63 comma [100 -63⟩ 176.835

5-limit commas

Name(s) Color Name Ratio Monzo Cents
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
acute limma 19073486328125 / 17592186044416 [-44 0 19⟩ 139.961
meantone Integer cents comma [-1393 0 600⟩ 188.228
31-15-comma [-121 31 31⟩ 136.330
87-15-comma [340 -87 -87⟩ 120.622
enipucrop latriyo-one 1125 / 1024 [-10 2 3⟩ 162.851
supersharp sayoyo 800 / 729 [5 -6 2⟩ 160.897
gorgo lagugu 2187 / 2000 [-4 7 -3⟩ 154.744
large limma gugu 27 / 25 [0 3 -2⟩ 133.238
lemba latribiyo 140625 / 131072 [-17 2 6⟩ 121.792
sixix quinyo 3125 / 2916 [-2 -6 5⟩ 119.839
diesma lathegu 10460353203 / 9765625000 [-3 21 -13⟩ 118.977
comic saquadyo-two 5120000 / 4782969 [13 -14 4⟩ 117.885
just diatonic semitone gu-two 16 / 15 [4 -1 -1⟩ 111.731
beatles sasagugu 524288 / 492075 [19 -9 -2⟩ 109.778
wronecki latribigu 531441 / 500000 [-5 12 -6⟩ 105.578
wesley lasepyo-
negative-two 		78125 / 73728 [-13 -2 7⟩ 100.286
11-3/5-comma leyo 48828125 / 45349632 [-8 -11 11⟩ 127.946
27-3/5-comma [20 27 -27⟩ 122.315
31-3/5-comma [23 31 -31⟩ 184.880
300-3/5-comma [-221 -300 300⟩ 107.614

7-limit commas

Name(s) Color Name Monzo Cents
major diatonic semitone, 15/14 ruyo [-1 1 1 -1⟩ 119.443
hexatone comma, 6-7-comma satribiru [17 0 0 -6⟩ 187.045
hendecatone comma, 11-7-comma saleru [31 0 0 -11⟩ 142.915
41-7-comma [-115 0 0 41⟩ 121.862
46-7-comma [-129 0 0 46⟩ 165.992
25-7/5-comma [-12 0 -25 25⟩ 162.805
27-7/5-comma [-13 0 -27 27⟩ 127.829
41-7/5-comma [20 0 41 -41⟩ 117.000
43-7/5-comma [21 0 43 -43⟩ 151.976
45-7/5-comma [22 0 45 -45⟩ 186.951
8-21-comma lala-quadbizo [-35 8 0 8⟩ 166.247
13-21-comma quadla-thezo-five [-57 13 0 13⟩ 120.152
38-21-comma [167 -38 0 -38⟩ 110.326
43-21-comma [189 -43 0 -43⟩ 156.421
7-35-comma sasasepru [36 0 -7 -7⟩ 114.023
55-35-comma [-282 0 55 55⟩ 132.679
63-35-comma [-323 0 63 63⟩ 173.796

11-limit commas

Name(s) Color Name Monzo Cents
12/11, 3/4-tone, undecimal neutral second lu [2 1 0 0 -1⟩ 150.637
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
11-cycle major second prote, 33-11-comma [-114 0 0 0 33⟩ 193.492

13-limit commas

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

17-limit commas

Name(s) Color Name Monzo Cents
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-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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